%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL796-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 11:23:52 AM UTC 2026 % Result : Unsatisfiable 3.04s 3.33s % Output : Proof 3.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL796-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n009.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 08:25:06 UTC 2026 % 0.04/0.37 % CPUTime : % 0.29/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.04/3.33 % SZS status Unsatisfiable % 3.04/3.33 % SZS output start Proof % 3.13/3.41 ( % 3.13/3.41 (declare-sort $$unsorted 0) % 3.13/3.41 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.v_a____ $$unsorted) % 3.13/3.41 (declare-const tptp.v_T_H_H____ $$unsorted) % 3.13/3.41 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.v_e____ $$unsorted) % 3.13/3.41 (declare-const tptp.tc_String_Ochar $$unsorted) % 3.13/3.41 (declare-const tptp.c_String_Ochar_Ochar__size (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.v_T____ $$unsorted) % 3.13/3.41 (declare-const tptp.c_Type_Otype_OFun (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.tc_Type_Otype $$unsorted) % 3.13/3.41 (declare-const tptp.c_nat_Onat__size (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 3.13/3.41 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.t_a $$unsorted) % 3.13/3.41 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.v_sko__List__Xreplicate__Xinduct__1 (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.v_sko__Nat__Xnat__Xinducts__1 (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.tc_nat $$unsorted) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.v_sko__List__Xlexn__Xinduct__1 (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.v_u____ $$unsorted) % 3.13/3.41 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.v_i____ $$unsorted) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 3.13/3.41 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 3.13/3.41 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 3.13/3.41 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 3.13/3.41 (define @t1 () (@var "T_a" $$unsorted)) % 3.13/3.41 (define @t2 () (@var "V_z" $$unsorted)) % 3.13/3.41 (define @t3 () (@var "V_x" $$unsorted)) % 3.13/3.41 (define @t4 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 3.13/3.41 (define @t5 () (not @t4)) % 3.13/3.41 (define @t6 () (@var "V_y" $$unsorted)) % 3.13/3.41 (define @t7 () (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1)) % 3.13/3.41 (define @t8 () (not @t7)) % 3.13/3.41 (define @t9 () (tptp.c_Orderings_Oord__class_Omax @t3 @t6 @t1)) % 3.13/3.41 (define @t10 () (tptp.c_HOL_Oord__class_Oless @t9 @t2 @t1)) % 3.13/3.41 (define @t11 () (not (tptp.class_Orderings_Olinorder @t1))) % 3.13/3.41 (define @t12 () (@list @t1 @t3 @t6 @t2)) % 3.13/3.41 (define @t13 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t2 @t1)) % 3.13/3.41 (define @t14 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t2 @t1)) % 3.13/3.41 (define @t15 () (tptp.c_Orderings_Oord__class_Omin @t3 @t6 @t1)) % 3.13/3.41 (define @t16 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 3.13/3.41 (define @t17 () (@var "V_n" $$unsorted)) % 3.13/3.41 (define @t18 () (@var "V_m" $$unsorted)) % 3.13/3.41 (define @t19 () (tptp.c_lessequals @t18 @t17 tptp.tc_nat)) % 3.13/3.41 (define @t20 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 3.13/3.41 (define @t21 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t17 tptp.tc_nat)) % 3.13/3.41 (define @t22 () (= @t21 @t20)) % 3.13/3.41 (define @t23 () (not @t22)) % 3.13/3.41 (define @t24 () (@list @t18 @t17)) % 3.13/3.41 (define @t25 () (not @t19)) % 3.13/3.41 (define @t26 () (@var "V_a" $$unsorted)) % 3.13/3.41 (define @t27 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 3.13/3.41 (define @t28 () (tptp.c_lessequals @t27 @t26 @t1)) % 3.13/3.41 (define @t29 () (not @t28)) % 3.13/3.41 (define @t30 () (tptp.c_Power_Opower__class_Opower @t1)) % 3.13/3.41 (define @t31 () (tptp.hAPP @t30 @t26)) % 3.13/3.41 (define @t32 () (tptp.hAPP @t31 @t17)) % 3.13/3.41 (define @t33 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 3.13/3.41 (define @t34 () (@list @t1 @t26 @t17)) % 3.13/3.41 (define @t35 () (@var "V_c" $$unsorted)) % 3.13/3.41 (define @t36 () (@var "V_e" $$unsorted)) % 3.13/3.41 (define @t37 () (@var "V_b" $$unsorted)) % 3.13/3.41 (define @t38 () (tptp.c_HOL_Ominus__class_Ominus @t26 @t37 @t1)) % 3.13/3.41 (define @t39 () (tptp.c_HOL_Otimes__class_Otimes @t1)) % 3.13/3.41 (define @t40 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 3.13/3.41 (define @t41 () (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP (tptp.hAPP @t39 @t38) @t36)) @t35)) % 3.13/3.41 (define @t42 () (tptp.hAPP @t39 @t37)) % 3.13/3.41 (define @t43 () (tptp.hAPP @t40 (tptp.hAPP @t42 @t36))) % 3.13/3.41 (define @t44 () (tptp.hAPP @t39 @t26)) % 3.13/3.41 (define @t45 () (tptp.hAPP @t40 (tptp.hAPP @t44 @t36))) % 3.13/3.41 (define @t46 () (tptp.hAPP @t45 @t35)) % 3.13/3.41 (define @t47 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 3.13/3.41 (define @t48 () (tptp.c_lessequals @t3 @t6 @t1)) % 3.13/3.41 (define @t49 () (not @t48)) % 3.13/3.41 (define @t50 () (tptp.c_lessequals @t3 @t2 @t1)) % 3.13/3.41 (define @t51 () (not @t50)) % 3.13/3.41 (define @t52 () (tptp.c_Orderings_Oord__class_Omin @t6 @t2 @t1)) % 3.13/3.41 (define @t53 () (tptp.c_lessequals @t3 @t52 @t1)) % 3.13/3.41 (define @t54 () (tptp.c_lessequals @t3 @t26 @t1)) % 3.13/3.41 (define @t55 () (not @t54)) % 3.13/3.41 (define @t56 () (tptp.c_lessequals @t3 @t37 @t1)) % 3.13/3.41 (define @t57 () (not @t56)) % 3.13/3.41 (define @t58 () (tptp.c_Orderings_Oord__class_Omin @t26 @t37 @t1)) % 3.13/3.41 (define @t59 () (tptp.c_lessequals @t3 @t58 @t1)) % 3.13/3.41 (define @t60 () (@list @t1 @t3 @t26 @t37)) % 3.13/3.41 (define @t61 () (@list @t1 @t3 @t6)) % 3.13/3.41 (define @t62 () (@var "V_P" $$unsorted)) % 3.13/3.41 (define @t63 () (tptp.hBOOL (tptp.hAPP @t62 @t20))) % 3.13/3.41 (define @t64 () (not @t63)) % 3.13/3.41 (define @t65 () (tptp.v_sko__Nat__Xnat__Xinduct__1 @t62)) % 3.13/3.41 (define @t66 () (@var "V_nat" $$unsorted)) % 3.13/3.41 (define @t67 () (tptp.hBOOL (tptp.hAPP @t62 @t66))) % 3.13/3.41 (define @t68 () (@list @t62 @t66)) % 3.13/3.41 (define @t69 () (tptp.hAPP @t44 @t37)) % 3.13/3.41 (define @t70 () (tptp.c_Divides_Odiv__class_Omod @t69 @t35 @t1)) % 3.13/3.41 (define @t71 () (tptp.c_Divides_Odiv__class_Omod @t26 @t35 @t1)) % 3.13/3.41 (define @t72 () (tptp.hAPP @t39 @t71)) % 3.13/3.41 (define @t73 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t72 @t37) @t35 @t1)) % 3.13/3.41 (define @t74 () (not (tptp.class_Divides_Osemiring__div @t1))) % 3.13/3.41 (define @t75 () (@list @t1 @t26 @t35 @t37)) % 3.13/3.41 (define @t76 () (tptp.c_HOL_Oord__class_Oless @t26 @t37 @t1)) % 3.13/3.41 (define @t77 () (not @t76)) % 3.13/3.41 (define @t78 () (@var "V_d" $$unsorted)) % 3.13/3.41 (define @t79 () (not (tptp.c_HOL_Oord__class_Oless @t35 @t78 @t1))) % 3.13/3.41 (define @t80 () (tptp.c_HOL_Oord__class_Oless @t27 @t37 @t1)) % 3.13/3.41 (define @t81 () (not @t80)) % 3.13/3.41 (define @t82 () (not (tptp.c_lessequals @t27 @t35 @t1))) % 3.13/3.41 (define @t83 () (tptp.hAPP @t42 @t78)) % 3.13/3.41 (define @t84 () (tptp.hAPP @t44 @t35)) % 3.13/3.41 (define @t85 () (tptp.c_HOL_Oord__class_Oless @t84 @t83 @t1)) % 3.13/3.41 (define @t86 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 3.13/3.41 (define @t87 () (@list @t1 @t26 @t35 @t37 @t78)) % 3.13/3.41 (define @t88 () (tptp.c_HOL_Oone__class_Oone @t1)) % 3.13/3.41 (define @t89 () (not (tptp.c_lessequals @t88 @t26 @t1))) % 3.13/3.41 (define @t90 () (tptp.c_Suc @t17)) % 3.13/3.41 (define @t91 () (tptp.hAPP @t30 @t27)) % 3.13/3.41 (define @t92 () (not (tptp.class_Power_Opower @t1))) % 3.13/3.41 (define @t93 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 3.13/3.41 (define @t94 () (@list @t1 @t17)) % 3.13/3.41 (define @t95 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 3.13/3.41 (define @t96 () (tptp.hAPP @t95 @t18)) % 3.13/3.41 (define @t97 () (tptp.hAPP @t96 @t17)) % 3.13/3.41 (define @t98 () (tptp.c_Suc @t97)) % 3.13/3.41 (define @t99 () (tptp.hAPP @t96 @t90)) % 3.13/3.41 (define @t100 () (tptp.c_Suc @t18)) % 3.13/3.41 (define @t101 () (tptp.hAPP (tptp.hAPP @t95 @t100) @t17)) % 3.13/3.41 (define @t102 () (tptp.c_HOL_Oord__class_Oless @t20 @t17 tptp.tc_nat)) % 3.13/3.41 (define @t103 () (not @t102)) % 3.13/3.41 (define @t104 () (@var "V_q" $$unsorted)) % 3.13/3.41 (define @t105 () (tptp.c_HOL_Otimes__class_Otimes tptp.tc_nat)) % 3.13/3.41 (define @t106 () (tptp.hAPP @t105 @t17)) % 3.13/3.41 (define @t107 () (tptp.c_Suc @t104)) % 3.13/3.41 (define @t108 () (tptp.c_Divides_Odiv__class_Odiv @t18 @t17 tptp.tc_nat)) % 3.13/3.41 (define @t109 () (tptp.hAPP @t43 @t78)) % 3.13/3.41 (define @t110 () (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP (tptp.hAPP @t39 (tptp.c_HOL_Ominus__class_Ominus @t37 @t26 @t1)) @t36)) @t78)) % 3.13/3.41 (define @t111 () (@var "V_i" $$unsorted)) % 3.13/3.41 (define @t112 () (@var "V_j" $$unsorted)) % 3.13/3.41 (define @t113 () (not (tptp.c_lessequals @t112 @t111 tptp.tc_nat))) % 3.13/3.41 (define @t114 () (@var "V_u" $$unsorted)) % 3.13/3.41 (define @t115 () (tptp.hAPP @t105 @t112)) % 3.13/3.41 (define @t116 () (tptp.hAPP @t95 (tptp.hAPP @t115 @t114))) % 3.13/3.41 (define @t117 () (tptp.hAPP @t116 @t17)) % 3.13/3.41 (define @t118 () (tptp.hAPP @t105 @t111)) % 3.13/3.41 (define @t119 () (tptp.hAPP @t95 (tptp.hAPP @t118 @t114))) % 3.13/3.41 (define @t120 () (tptp.hAPP @t119 @t18)) % 3.13/3.41 (define @t121 () (tptp.c_HOL_Oord__class_Oless @t120 @t117 tptp.tc_nat)) % 3.13/3.41 (define @t122 () (not @t121)) % 3.13/3.41 (define @t123 () (tptp.c_HOL_Ominus__class_Ominus @t111 @t112 tptp.tc_nat)) % 3.13/3.41 (define @t124 () (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP (tptp.hAPP @t105 @t123) @t114)) @t18)) % 3.13/3.41 (define @t125 () (tptp.c_HOL_Oord__class_Oless @t124 @t17 tptp.tc_nat)) % 3.13/3.41 (define @t126 () (@list @t111 @t112 @t114 @t18 @t17)) % 3.13/3.41 (define @t127 () (@list @t111 @t114 @t18 @t112 @t17)) % 3.13/3.41 (define @t128 () (not (tptp.c_lessequals @t111 @t112 tptp.tc_nat))) % 3.13/3.41 (define @t129 () (tptp.c_HOL_Ominus__class_Ominus @t112 @t111 tptp.tc_nat)) % 3.13/3.41 (define @t130 () (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP (tptp.hAPP @t105 @t129) @t114)) @t17)) % 3.13/3.41 (define @t131 () (tptp.c_HOL_Oord__class_Oless @t18 @t130 tptp.tc_nat)) % 3.13/3.41 (define @t132 () (@list @t18 @t112 @t111 @t114 @t17)) % 3.13/3.41 (define @t133 () (not (= @t46 @t109))) % 3.13/3.41 (define @t134 () (@list @t1 @t26 @t36 @t35 @t37 @t78)) % 3.13/3.41 (define @t135 () (tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 @t62)) % 3.13/3.41 (define @t136 () (tptp.hBOOL (tptp.hAPP @t62 @t3))) % 3.13/3.41 (define @t137 () (tptp.hAPP @t62 @t17)) % 3.13/3.41 (define @t138 () (tptp.hBOOL @t137)) % 3.13/3.41 (define @t139 () (tptp.hAPP @t40 @t26)) % 3.13/3.41 (define @t140 () (tptp.hAPP @t139 @t35)) % 3.13/3.41 (define @t141 () (tptp.c_Divides_Odiv__class_Omod @t26 @t37 @t1)) % 3.13/3.41 (define @t142 () (tptp.c_Divides_Odiv__class_Odiv @t26 @t37 @t1)) % 3.13/3.41 (define @t143 () (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP @t42 @t142)) @t141)) % 3.13/3.41 (define @t144 () (@list @t1 @t37 @t26 @t35)) % 3.13/3.41 (define @t145 () (tptp.hAPP (tptp.hAPP @t39 @t142) @t37)) % 3.13/3.41 (define @t146 () (tptp.hAPP (tptp.hAPP @t40 @t145) @t141)) % 3.13/3.41 (define @t147 () (@list @t1 @t26 @t37 @t35)) % 3.13/3.41 (define @t148 () (tptp.hAPP @t95 @t111)) % 3.13/3.41 (define @t149 () (@list @t111 @t18)) % 3.13/3.41 (define @t150 () (tptp.hAPP @t96 @t3)) % 3.13/3.41 (define @t151 () (@list @t18 @t3)) % 3.13/3.41 (define @t152 () (@var "V_k" $$unsorted)) % 3.13/3.41 (define @t153 () (not (tptp.c_lessequals @t152 @t112 tptp.tc_nat))) % 3.13/3.41 (define @t154 () (tptp.c_HOL_Ominus__class_Ominus @t112 @t152 tptp.tc_nat)) % 3.13/3.41 (define @t155 () (tptp.c_lessequals @t111 @t154 tptp.tc_nat)) % 3.13/3.42 (define @t156 () (tptp.hAPP @t148 @t152)) % 3.13/3.42 (define @t157 () (tptp.c_lessequals @t156 @t112 tptp.tc_nat)) % 3.13/3.42 (define @t158 () (@list @t111 @t152 @t112)) % 3.13/3.42 (define @t159 () (@list @t111 @t112 @t152)) % 3.13/3.42 (define @t160 () (tptp.c_lessequals @t6 @t2 @t1)) % 3.13/3.42 (define @t161 () (not @t160)) % 3.13/3.42 (define @t162 () (tptp.c_lessequals @t9 @t2 @t1)) % 3.13/3.42 (define @t163 () (tptp.c_lessequals @t6 @t3 @t1)) % 3.13/3.42 (define @t164 () (not @t163)) % 3.13/3.42 (define @t165 () (tptp.c_lessequals @t2 @t3 @t1)) % 3.13/3.42 (define @t166 () (not @t165)) % 3.13/3.42 (define @t167 () (tptp.c_Orderings_Oord__class_Omax @t6 @t2 @t1)) % 3.13/3.42 (define @t168 () (@list @t1 @t6 @t2 @t3)) % 3.13/3.42 (define @t169 () (tptp.c_lessequals @t26 @t3 @t1)) % 3.13/3.42 (define @t170 () (not @t169)) % 3.13/3.42 (define @t171 () (tptp.c_lessequals @t37 @t3 @t1)) % 3.13/3.42 (define @t172 () (not @t171)) % 3.13/3.42 (define @t173 () (tptp.c_Orderings_Oord__class_Omax @t26 @t37 @t1)) % 3.13/3.42 (define @t174 () (tptp.c_lessequals @t173 @t3 @t1)) % 3.13/3.42 (define @t175 () (@list @t1 @t26 @t37 @t3)) % 3.13/3.42 (define @t176 () (@list @t1 @t6 @t3)) % 3.13/3.42 (define @t177 () (@list @t1 @t3)) % 3.13/3.42 (define @t178 () (@var "V_f2" $$unsorted)) % 3.13/3.42 (define @t179 () (@var "V_f1" $$unsorted)) % 3.13/3.42 (define @t180 () (tptp.hAPP @t178 @t66)) % 3.13/3.42 (define @t181 () (tptp.c_Suc @t66)) % 3.13/3.42 (define @t182 () (@list @t179 @t178 @t66 @t1)) % 3.13/3.42 (define @t183 () (@var "V_r1" $$unsorted)) % 3.13/3.42 (define @t184 () (@var "V_r0" $$unsorted)) % 3.13/3.42 (define @t185 () (@var "V_pwr" $$unsorted)) % 3.13/3.42 (define @t186 () (@var "V_mul" $$unsorted)) % 3.13/3.42 (define @t187 () (@var "V_add" $$unsorted)) % 3.13/3.42 (define @t188 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t187 @t186 @t185 @t184 @t183 @t1))) % 3.13/3.42 (define @t189 () (@var "V_p" $$unsorted)) % 3.13/3.42 (define @t190 () (tptp.hAPP (tptp.hAPP @t105 @t189) @t104)) % 3.13/3.42 (define @t191 () (tptp.hAPP @t185 @t3)) % 3.13/3.42 (define @t192 () (tptp.hAPP @t191 @t189)) % 3.13/3.42 (define @t193 () (tptp.c_Orderings_Oord__class_Omin @t6 @t3 @t1)) % 3.13/3.42 (define @t194 () (tptp.c_Orderings_Oord__class_Omin @t3 @t2 @t1)) % 3.13/3.42 (define @t195 () (tptp.c_Orderings_Oord__class_Omax @t15 @t194 @t1)) % 3.13/3.42 (define @t196 () (tptp.c_Orderings_Oord__class_Omin @t3 @t167 @t1)) % 3.13/3.42 (define @t197 () (@var "V_N" $$unsorted)) % 3.13/3.42 (define @t198 () (not (tptp.c_HOL_Oord__class_Oless @t17 @t197 tptp.tc_nat))) % 3.13/3.42 (define @t199 () (tptp.c_HOL_Oord__class_Oless @t27 @t26 @t1)) % 3.13/3.42 (define @t200 () (not @t199)) % 3.13/3.42 (define @t201 () (not (tptp.c_HOL_Oord__class_Oless @t26 @t88 @t1))) % 3.13/3.42 (define @t202 () (tptp.hAPP @t31 @t197)) % 3.13/3.42 (define @t203 () (@list @t1 @t26 @t197 @t17)) % 3.13/3.42 (define @t204 () (tptp.hAPP (tptp.hAPP @t105 @t108) @t17)) % 3.13/3.42 (define @t205 () (tptp.c_Divides_Odiv__class_Omod @t18 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t206 () (not (tptp.c_lessequals @t37 @t35 @t1))) % 3.13/3.42 (define @t207 () (tptp.c_lessequals @t37 @t140 @t1)) % 3.13/3.42 (define @t208 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 3.13/3.42 (define @t209 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 3.13/3.42 (define @t210 () (tptp.c_lessequals @t37 @t26 @t1)) % 3.13/3.42 (define @t211 () (not @t210)) % 3.13/3.42 (define @t212 () (tptp.v_sko__List__Xupt__Xinduct__1 @t62)) % 3.13/3.42 (define @t213 () (tptp.v_sko__List__Xreplicate__Xinduct__1 @t62)) % 3.13/3.42 (define @t214 () (tptp.c_HOL_Oord__class_Oless @t18 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t215 () (not @t214)) % 3.13/3.42 (define @t216 () (tptp.c_lessequals @t100 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t217 () (not @t216)) % 3.13/3.42 (define @t218 () (tptp.c_HOL_Oord__class_Oless @t17 @t18 tptp.tc_nat)) % 3.13/3.42 (define @t219 () (tptp.c_lessequals @t90 @t18 tptp.tc_nat)) % 3.13/3.42 (define @t220 () (@list @t17 @t18)) % 3.13/3.42 (define @t221 () (not @t219)) % 3.13/3.42 (define @t222 () (tptp.c_HOL_Oord__class_Oless @t3 @t6 tptp.tc_nat)) % 3.13/3.42 (define @t223 () (not @t222)) % 3.13/3.42 (define @t224 () (tptp.hAPP @t95 @t6)) % 3.13/3.42 (define @t225 () (tptp.hAPP @t224 @t2)) % 3.13/3.42 (define @t226 () (tptp.c_HOL_Oord__class_Oless @t3 @t225 tptp.tc_nat)) % 3.13/3.42 (define @t227 () (@list @t3 @t6 @t2)) % 3.13/3.42 (define @t228 () (tptp.hAPP @t148 @t112)) % 3.13/3.42 (define @t229 () (tptp.c_HOL_Oord__class_Oless @t111 @t152 tptp.tc_nat)) % 3.13/3.42 (define @t230 () (not (tptp.c_HOL_Oord__class_Oless @t111 @t112 tptp.tc_nat))) % 3.13/3.42 (define @t231 () (tptp.hAPP @t95 @t112)) % 3.13/3.42 (define @t232 () (tptp.hAPP @t231 @t18)) % 3.13/3.42 (define @t233 () (@list @t111 @t112 @t18)) % 3.13/3.42 (define @t234 () (tptp.hAPP @t96 @t112)) % 3.13/3.42 (define @t235 () (@list @t111 @t18 @t112)) % 3.13/3.42 (define @t236 () (not (tptp.c_lessequals @t17 @t197 tptp.tc_nat))) % 3.13/3.42 (define @t237 () (tptp.c_lessequals @t35 @t110 @t1)) % 3.13/3.42 (define @t238 () (tptp.c_lessequals @t46 @t109 @t1)) % 3.13/3.42 (define @t239 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 3.13/3.42 (define @t240 () (not @t238)) % 3.13/3.42 (define @t241 () (@list @t1 @t35 @t37 @t26 @t36 @t78)) % 3.13/3.42 (define @t242 () (tptp.c_lessequals @t41 @t78 @t1)) % 3.13/3.42 (define @t243 () (@list @t1 @t26 @t37 @t36 @t35 @t78)) % 3.13/3.42 (define @t244 () (tptp.c_lessequals @t17 @t18 tptp.tc_nat)) % 3.13/3.42 (define @t245 () (not @t244)) % 3.13/3.42 (define @t246 () (tptp.c_HOL_Ominus__class_Ominus @t100 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t247 () (@var "V_t" $$unsorted)) % 3.13/3.42 (define @t248 () (tptp.c_Lambda_Olift @t247 @t152)) % 3.13/3.42 (define @t249 () (@var "V_s" $$unsorted)) % 3.13/3.42 (define @t250 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t249)) % 3.13/3.42 (define @t251 () (tptp.hAPP @t250 @t247)) % 3.13/3.42 (define @t252 () (tptp.hAPP @t39 @t6)) % 3.13/3.42 (define @t253 () (tptp.hAPP @t39 @t3)) % 3.13/3.42 (define @t254 () (tptp.hAPP @t253 @t3)) % 3.13/3.42 (define @t255 () (tptp.hAPP (tptp.hAPP @t40 @t254) (tptp.hAPP @t252 @t6))) % 3.13/3.42 (define @t256 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 3.13/3.42 (define @t257 () (tptp.hAPP @t40 @t35)) % 3.13/3.42 (define @t258 () (tptp.hAPP @t257 @t26)) % 3.13/3.42 (define @t259 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 3.13/3.42 (define @t260 () (tptp.hAPP @t40 @t37)) % 3.13/3.42 (define @t261 () (tptp.hAPP @t260 @t26)) % 3.13/3.42 (define @t262 () (tptp.hAPP @t139 @t37)) % 3.13/3.42 (define @t263 () (@list @t1 @t26 @t37)) % 3.13/3.42 (define @t264 () (tptp.hAPP @t95 @t17)) % 3.13/3.42 (define @t265 () (tptp.hAPP @t264 @t18)) % 3.13/3.42 (define @t266 () (@var "V_l" $$unsorted)) % 3.13/3.42 (define @t267 () (not (tptp.c_HOL_Oord__class_Oless @t152 @t266 tptp.tc_nat))) % 3.13/3.42 (define @t268 () (tptp.hAPP @t95 @t152)) % 3.13/3.42 (define @t269 () (tptp.hAPP @t268 @t17)) % 3.13/3.42 (define @t270 () (tptp.hAPP @t40 @t6)) % 3.13/3.42 (define @t271 () (tptp.hAPP @t40 @t3)) % 3.13/3.42 (define @t272 () (tptp.hAPP @t271 @t6)) % 3.13/3.42 (define @t273 () (tptp.c_Suc @t20)) % 3.13/3.42 (define @t274 () (= @t18 @t273)) % 3.13/3.42 (define @t275 () (tptp.hAPP @t105 @t18)) % 3.13/3.42 (define @t276 () (tptp.hAPP @t275 @t17)) % 3.13/3.42 (define @t277 () (not (= @t276 @t273))) % 3.13/3.42 (define @t278 () (= @t17 @t273)) % 3.13/3.42 (define @t279 () (tptp.hAPP @t106 @t18)) % 3.13/3.42 (define @t280 () (tptp.hAPP @t268 @t18)) % 3.13/3.42 (define @t281 () (tptp.c_Suc @t112)) % 3.13/3.42 (define @t282 () (tptp.c_Suc @t154)) % 3.13/3.42 (define @t283 () (= @t18 @t17)) % 3.13/3.42 (define @t284 () (not (= (tptp.c_List_Oreplicate @t18 @t3 @t1) (tptp.c_List_Oreplicate @t17 @t6 @t1)))) % 3.13/3.42 (define @t285 () (@list @t18 @t3 @t1 @t17 @t6)) % 3.13/3.42 (define @t286 () (tptp.hAPP @t39 @t88)) % 3.13/3.42 (define @t287 () (= (tptp.hAPP @t286 @t26) @t26)) % 3.13/3.42 (define @t288 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1))) % 3.13/3.42 (define @t289 () (@list @t1 @t26)) % 3.13/3.42 (define @t290 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 3.13/3.42 (define @t291 () (= (tptp.hAPP @t44 @t88) @t26)) % 3.13/3.42 (define @t292 () (tptp.c_HOL_Oord__class_Oless @t37 @t140 @t1)) % 3.13/3.42 (define @t293 () (tptp.c_HOL_Oord__class_Oless @t20 @t152 tptp.tc_nat)) % 3.13/3.42 (define @t294 () (not @t293)) % 3.13/3.42 (define @t295 () (tptp.hAPP @t264 @t152)) % 3.13/3.42 (define @t296 () (@list @t18 @t17 @t152)) % 3.13/3.42 (define @t297 () (= @t26 @t27)) % 3.13/3.42 (define @t298 () (tptp.hAPP (tptp.hAPP @t95 @t273) @t20)) % 3.13/3.42 (define @t299 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t17 @t1)) % 3.13/3.42 (define @t300 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t1)) % 3.13/3.42 (define @t301 () (tptp.c_lessequals @t300 @t299 @t1)) % 3.13/3.42 (define @t302 () (@list @t1 @t18 @t17)) % 3.13/3.42 (define @t303 () (@var "V_r" $$unsorted)) % 3.13/3.42 (define @t304 () (not (tptp.c_Lambda_Obeta @t303 @t249))) % 3.13/3.42 (define @t305 () (@var "V_dB" $$unsorted)) % 3.13/3.42 (define @t306 () (@var "V_f3" $$unsorted)) % 3.13/3.42 (define @t307 () (tptp.hAPP @t306 @t305)) % 3.13/3.42 (define @t308 () (tptp.c_Lambda_OdB_OAbs @t305)) % 3.13/3.42 (define @t309 () (@list @t179 @t178 @t306 @t305 @t1)) % 3.13/3.42 (define @t310 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 3.13/3.42 (define @t311 () (not @t310)) % 3.13/3.42 (define @t312 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 3.13/3.42 (define @t313 () (not @t312)) % 3.13/3.42 (define @t314 () (tptp.c_HOL_Oord__class_Oless @t2 @t15 @t1)) % 3.13/3.42 (define @t315 () (@list @t1 @t2 @t3 @t6)) % 3.13/3.42 (define @t316 () (tptp.hAPP @t105 @t3)) % 3.13/3.42 (define @t317 () (tptp.hAPP @t316 @t6)) % 3.13/3.42 (define @t318 () (tptp.hAPP @t316 @t2)) % 3.13/3.42 (define @t319 () (tptp.hAPP @t316 @t35)) % 3.13/3.42 (define @t320 () (tptp.hAPP @t316 @t78)) % 3.13/3.42 (define @t321 () (tptp.hAPP @t253 @t35)) % 3.13/3.42 (define @t322 () (tptp.hAPP @t253 @t78)) % 3.13/3.42 (define @t323 () (not (tptp.class_Int_Onumber__ring @t1))) % 3.13/3.42 (define @t324 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 3.13/3.42 (define @t325 () (tptp.hAPP @t253 @t6)) % 3.13/3.42 (define @t326 () (tptp.hAPP @t253 @t2)) % 3.13/3.42 (define @t327 () (tptp.hAPP (tptp.hAPP @t40 @t325) @t326)) % 3.13/3.42 (define @t328 () (= @t17 @t20)) % 3.13/3.42 (define @t329 () (@list @t17)) % 3.13/3.42 (define @t330 () (tptp.hAPP @t139 @t26)) % 3.13/3.42 (define @t331 () (tptp.c_lessequals @t27 @t330 @t1)) % 3.13/3.42 (define @t332 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 3.13/3.42 (define @t333 () (tptp.c_Lambda_OdB_OVar @t111)) % 3.13/3.42 (define @t334 () (tptp.c_HOL_Ominus__class_Ominus @t120 @t117 tptp.tc_nat)) % 3.13/3.42 (define @t335 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 3.13/3.42 (define @t336 () (tptp.hAPP @t95 @t37)) % 3.13/3.42 (define @t337 () (tptp.c_Suc @t205)) % 3.13/3.42 (define @t338 () (= @t337 @t17)) % 3.13/3.42 (define @t339 () (tptp.c_Divides_Odiv__class_Omod @t100 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t340 () (tptp.hAPP @t106 @t152)) % 3.13/3.42 (define @t341 () (tptp.hAPP @t275 @t152)) % 3.13/3.42 (define @t342 () (tptp.c_lessequals @t341 @t340 tptp.tc_nat)) % 3.13/3.42 (define @t343 () (@list @t18 @t152 @t17)) % 3.13/3.42 (define @t344 () (tptp.hAPP @t105 @t152)) % 3.13/3.42 (define @t345 () (tptp.hAPP @t344 @t17)) % 3.13/3.42 (define @t346 () (tptp.hAPP @t344 @t18)) % 3.13/3.42 (define @t347 () (tptp.c_lessequals @t346 @t345 tptp.tc_nat)) % 3.13/3.42 (define @t348 () (@list @t152 @t18 @t17)) % 3.13/3.42 (define @t349 () (tptp.hAPP @t30 @t3)) % 3.13/3.42 (define @t350 () (tptp.hAPP @t349 @t189)) % 3.13/3.42 (define @t351 () (@list @t1 @t3 @t189 @t104)) % 3.13/3.42 (define @t352 () (tptp.v_sko__Nat__Xnat__Xinducts__1 @t62)) % 3.13/3.42 (define @t353 () (tptp.hAPP @t39 @t32)) % 3.13/3.42 (define @t354 () (tptp.hAPP @t353 @t26)) % 3.13/3.42 (define @t355 () (tptp.hAPP @t31 @t90)) % 3.13/3.42 (define @t356 () (tptp.hAPP @t44 @t32)) % 3.13/3.42 (define @t357 () (tptp.hAPP @t349 @t104)) % 3.13/3.42 (define @t358 () (tptp.hAPP @t253 @t357)) % 3.13/3.42 (define @t359 () (tptp.hAPP @t349 @t107)) % 3.13/3.42 (define @t360 () (@list @t1 @t3 @t104)) % 3.13/3.42 (define @t361 () (not (tptp.c_lessequals @t152 @t266 tptp.tc_nat))) % 3.13/3.42 (define @t362 () (tptp.hAPP @t231 @t266)) % 3.13/3.42 (define @t363 () (@list @t111 @t152 @t112 @t266)) % 3.13/3.42 (define @t364 () (tptp.c_lessequals @t26 @t37 @t1)) % 3.13/3.42 (define @t365 () (not @t364)) % 3.13/3.42 (define @t366 () (not (tptp.c_lessequals @t35 @t78 @t1))) % 3.13/3.42 (define @t367 () (tptp.hAPP @t260 @t78)) % 3.13/3.42 (define @t368 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 3.13/3.42 (define @t369 () (tptp.c_Power_Opower_Opower @t27 @t40 @t1)) % 3.13/3.42 (define @t370 () (tptp.hAPP @t369 @t26)) % 3.13/3.42 (define @t371 () (tptp.hAPP @t370 @t17)) % 3.13/3.42 (define @t372 () (tptp.hAPP @t40 @t371)) % 3.13/3.42 (define @t373 () (tptp.hAPP @t372 @t26)) % 3.13/3.42 (define @t374 () (tptp.hAPP @t370 @t90)) % 3.13/3.42 (define @t375 () (tptp.hAPP @t139 @t371)) % 3.13/3.42 (define @t376 () (tptp.c_HOL_Oord__class_Oless @t18 @t90 tptp.tc_nat)) % 3.13/3.42 (define @t377 () (not @t376)) % 3.13/3.42 (define @t378 () (tptp.c_Suc @t3)) % 3.13/3.42 (define @t379 () (tptp.c_HOL_Oord__class_Oless @t3 @t378 tptp.tc_nat)) % 3.13/3.42 (define @t380 () (tptp.c_lessequals @t3 @t3 tptp.tc_nat)) % 3.13/3.42 (define @t381 () (@list @t3)) % 3.13/3.42 (define @t382 () (tptp.hAPP @t252 @t3)) % 3.13/3.42 (define @t383 () (tptp.hAPP @t40 @t27)) % 3.13/3.42 (define @t384 () (= (tptp.hAPP @t383 @t27) @t27)) % 3.13/3.42 (define @t385 () (not (tptp.c_lessequals @t27 @t27 @t1))) % 3.13/3.42 (define @t386 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 3.13/3.42 (define @t387 () (@list @t1)) % 3.13/3.42 (define @t388 () (tptp.hAPP @t42 @t26)) % 3.13/3.42 (define @t389 () (tptp.hAPP @t370 @t18)) % 3.13/3.42 (define @t390 () (@list @t1 @t26 @t18 @t17)) % 3.13/3.42 (define @t391 () (@list @t1 @t26 @t37 @t17)) % 3.13/3.42 (define @t392 () (tptp.c_Divides_Odiv__class_Omod @t37 @t35 @t1)) % 3.13/3.42 (define @t393 () (tptp.hAPP @t40 @t71)) % 3.13/3.42 (define @t394 () (tptp.c_Divides_Odiv__class_Omod @t262 @t35 @t1)) % 3.13/3.42 (define @t395 () (@var "V_dB2" $$unsorted)) % 3.13/3.42 (define @t396 () (@var "V_dB1" $$unsorted)) % 3.13/3.42 (define @t397 () (tptp.hAPP (tptp.hAPP @t178 @t396) @t395)) % 3.13/3.42 (define @t398 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t396) @t395)) % 3.13/3.42 (define @t399 () (@list @t179 @t178 @t306 @t396 @t395 @t1)) % 3.13/3.42 (define @t400 () (tptp.c_lessequals @t27 @t37 @t1)) % 3.13/3.42 (define @t401 () (not @t400)) % 3.13/3.42 (define @t402 () (tptp.c_HOL_Oord__class_Oless @t3 @t6 @t1)) % 3.13/3.42 (define @t403 () (not @t402)) % 3.13/3.42 (define @t404 () (not (tptp.class_Orderings_Opreorder @t1))) % 3.13/3.42 (define @t405 () (@list @t1 @t3 @t2 @t6)) % 3.13/3.42 (define @t406 () (tptp.c_HOL_Oord__class_Oless @t6 @t3 @t1)) % 3.13/3.42 (define @t407 () (not @t406)) % 3.13/3.42 (define @t408 () (not (tptp.class_Orderings_Oorder @t1))) % 3.13/3.42 (define @t409 () (= @t9 @t6)) % 3.13/3.42 (define @t410 () (tptp.hAPP @t270 @t2)) % 3.13/3.42 (define @t411 () (tptp.hAPP @t271 @t410)) % 3.13/3.42 (define @t412 () (tptp.hAPP @t271 @t2)) % 3.13/3.42 (define @t413 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 3.13/3.42 (define @t414 () (tptp.hAPP @t95 @t3)) % 3.13/3.42 (define @t415 () (tptp.hAPP @t414 @t2)) % 3.13/3.42 (define @t416 () (tptp.hAPP @t260 @t35)) % 3.13/3.42 (define @t417 () (tptp.hAPP @t139 @t416)) % 3.13/3.42 (define @t418 () (tptp.hAPP @t40 @t262)) % 3.13/3.42 (define @t419 () (tptp.hAPP @t418 @t35)) % 3.13/3.42 (define @t420 () (= @t419 @t417)) % 3.13/3.42 (define @t421 () (tptp.hAPP @t40 @t140)) % 3.13/3.42 (define @t422 () (tptp.hAPP @t257 @t78)) % 3.13/3.42 (define @t423 () (tptp.hAPP @t139 @t422)) % 3.13/3.42 (define @t424 () (@list @t1 @t26 @t35 @t78)) % 3.13/3.42 (define @t425 () (tptp.c_HOL_Oord__class_Oless @t20 @t97 tptp.tc_nat)) % 3.13/3.42 (define @t426 () (tptp.c_HOL_Oord__class_Oless @t20 @t18 tptp.tc_nat)) % 3.13/3.42 (define @t427 () (tptp.hAPP @t31 @t18)) % 3.13/3.42 (define @t428 () (tptp.c_lessequals @t273 @t276 tptp.tc_nat)) % 3.13/3.42 (define @t429 () (not @t428)) % 3.13/3.42 (define @t430 () (tptp.c_lessequals @t273 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t431 () (tptp.c_lessequals @t273 @t18 tptp.tc_nat)) % 3.13/3.42 (define @t432 () (tptp.hAPP @t96 @t152)) % 3.13/3.42 (define @t433 () (not (tptp.c_lessequals @t432 @t17 tptp.tc_nat))) % 3.13/3.42 (define @t434 () (tptp.c_lessequals @t152 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t435 () (@list @t152 @t17 @t18)) % 3.13/3.42 (define @t436 () (tptp.c_lessequals @t3 @t225 tptp.tc_nat)) % 3.13/3.42 (define @t437 () (tptp.c_lessequals @t3 @t6 tptp.tc_nat)) % 3.13/3.42 (define @t438 () (not @t437)) % 3.13/3.42 (define @t439 () (tptp.c_Divides_Odiv__class_Omod @t38 @t35 @t1)) % 3.13/3.42 (define @t440 () (not (tptp.class_Divides_Oring__div @t1))) % 3.13/3.42 (define @t441 () (= @t15 @t3)) % 3.13/3.42 (define @t442 () (tptp.c_HOL_Oord__class_Oless @t3 @t3 @t1)) % 3.13/3.42 (define @t443 () (not @t442)) % 3.13/3.42 (define @t444 () (tptp.c_lessequals @t3 @t3 @t1)) % 3.13/3.42 (define @t445 () (@var "V_zs" $$unsorted)) % 3.13/3.42 (define @t446 () (@var "V_times" $$unsorted)) % 3.13/3.42 (define @t447 () (@var "V_one" $$unsorted)) % 3.13/3.42 (define @t448 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t447 @t446 @t1) @t26)) % 3.13/3.42 (define @t449 () (tptp.c_HOL_Ominus__class_Ominus @t266 @t18 tptp.tc_nat)) % 3.13/3.42 (define @t450 () (tptp.c_HOL_Ominus__class_Ominus @t266 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t451 () (@list @t266 @t17 @t18)) % 3.13/3.42 (define @t452 () (tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 @t62)) % 3.13/3.42 (define @t453 () (@list @t62 @t17)) % 3.13/3.42 (define @t454 () (not @t426)) % 3.13/3.42 (define @t455 () (= @t108 @t20)) % 3.13/3.42 (define @t456 () (tptp.hAPP @t42 @t35)) % 3.13/3.42 (define @t457 () (tptp.c_HOL_Oord__class_Oless @t84 @t456 @t1)) % 3.13/3.42 (define @t458 () (not @t457)) % 3.13/3.42 (define @t459 () (tptp.hAPP @t39 @t35)) % 3.13/3.42 (define @t460 () (tptp.hAPP @t459 @t37)) % 3.13/3.42 (define @t461 () (tptp.hAPP @t459 @t26)) % 3.13/3.42 (define @t462 () (tptp.c_HOL_Oord__class_Oless @t461 @t460 @t1)) % 3.13/3.42 (define @t463 () (not @t462)) % 3.13/3.42 (define @t464 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 3.13/3.42 (define @t465 () (tptp.c_lessequals @t2 @t9 @t1)) % 3.13/3.42 (define @t466 () (tptp.c_lessequals @t2 @t6 @t1)) % 3.13/3.42 (define @t467 () (@list @t1 @t2 @t6 @t3)) % 3.13/3.42 (define @t468 () (tptp.hAPP (tptp.hAPP @t95 @t189) @t104)) % 3.13/3.42 (define @t469 () (not @t138)) % 3.13/3.42 (define @t470 () (tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1 @t62 @t17)) % 3.13/3.42 (define @t471 () (tptp.hAPP @t191 @t104)) % 3.13/3.42 (define @t472 () (tptp.c_Lambda_Oliftn @t17 @t247 @t152)) % 3.13/3.42 (define @t473 () (not @t53)) % 3.13/3.42 (define @t474 () (tptp.c_lessequals @t15 @t2 @t1)) % 3.13/3.42 (define @t475 () (tptp.c_lessequals @t58 @t3 @t1)) % 3.13/3.42 (define @t476 () (not @t59)) % 3.13/3.42 (define @t477 () (= @t37 @t27)) % 3.13/3.42 (define @t478 () (tptp.hAPP @t257 @t142)) % 3.13/3.42 (define @t479 () (tptp.hAPP @t139 @t456)) % 3.13/3.42 (define @t480 () (tptp.hAPP @t139 @t460)) % 3.13/3.42 (define @t481 () (tptp.hAPP @t40 @t88)) % 3.13/3.42 (define @t482 () (tptp.hAPP @t481 @t88)) % 3.13/3.42 (define @t483 () (tptp.hAPP @t40 @t18)) % 3.13/3.42 (define @t484 () (@list @t1 @t18)) % 3.13/3.42 (define @t485 () (= @t108 (tptp.c_Suc (tptp.c_Divides_Odiv__class_Odiv @t21 @t17 tptp.tc_nat)))) % 3.13/3.42 (define @t486 () (= @t6 @t27)) % 3.13/3.42 (define @t487 () (not (tptp.c_lessequals @t27 @t3 @t1))) % 3.13/3.42 (define @t488 () (not (tptp.c_lessequals @t27 @t6 @t1))) % 3.13/3.42 (define @t489 () (not (= @t272 @t27))) % 3.13/3.42 (define @t490 () (= @t3 @t27)) % 3.13/3.42 (define @t491 () (= @t3 @t6)) % 3.13/3.42 (define @t492 () (@list @t3 @t6)) % 3.13/3.42 (define @t493 () (@var "V_nat_H" $$unsorted)) % 3.13/3.42 (define @t494 () (= @t66 @t493)) % 3.13/3.42 (define @t495 () (tptp.c_Suc @t493)) % 3.13/3.42 (define @t496 () (@list @t66 @t493)) % 3.13/3.42 (define @t497 () (tptp.c_HOL_Oord__class_Oless @t35 @t110 @t1)) % 3.13/3.42 (define @t498 () (tptp.c_HOL_Oord__class_Oless @t46 @t109 @t1)) % 3.13/3.42 (define @t499 () (not @t498)) % 3.13/3.42 (define @t500 () (tptp.c_HOL_Oord__class_Oless @t41 @t78 @t1)) % 3.13/3.42 (define @t501 () (= @t205 (tptp.c_Divides_Odiv__class_Omod @t21 @t17 tptp.tc_nat))) % 3.13/3.42 (define @t502 () (not (= @t120 @t117))) % 3.13/3.42 (define @t503 () (@var "V_b_H" $$unsorted)) % 3.13/3.42 (define @t504 () (@var "V_a_H" $$unsorted)) % 3.13/3.42 (define @t505 () (not (= @t71 (tptp.c_Divides_Odiv__class_Omod @t504 @t35 @t1)))) % 3.13/3.42 (define @t506 () (not (= @t392 (tptp.c_Divides_Odiv__class_Omod @t503 @t35 @t1)))) % 3.13/3.42 (define @t507 () (@list @t1 @t37 @t35 @t503 @t26 @t504)) % 3.13/3.42 (define @t508 () (tptp.c_HOL_Oord__class_Oless @t26 @t27 @t1)) % 3.13/3.42 (define @t509 () (not @t508)) % 3.13/3.42 (define @t510 () (tptp.c_HOL_Oord__class_Oless @t330 @t27 @t1)) % 3.13/3.42 (define @t511 () (not @t510)) % 3.13/3.42 (define @t512 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 3.13/3.42 (define @t513 () (not (= @t273 @t97))) % 3.13/3.42 (define @t514 () (= @t18 @t20)) % 3.13/3.42 (define @t515 () (@list @t1 @t37 @t26)) % 3.13/3.42 (define @t516 () (tptp.c_HOL_Oord__class_Oless @t27 @t69 @t1)) % 3.13/3.42 (define @t517 () (not (tptp.c_HOL_Oord__class_Oless @t37 @t27 @t1))) % 3.13/3.42 (define @t518 () (tptp.c_HOL_Oord__class_Oless @t20 @t276 tptp.tc_nat)) % 3.13/3.42 (define @t519 () (tptp.hAPP @t30 @t37)) % 3.13/3.42 (define @t520 () (tptp.hAPP @t519 @t17)) % 3.13/3.42 (define @t521 () (tptp.c_HOL_Oord__class_Oless @t32 @t520 @t1)) % 3.13/3.42 (define @t522 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 3.13/3.42 (define @t523 () (not @t162)) % 3.13/3.42 (define @t524 () (not @t466)) % 3.13/3.42 (define @t525 () (tptp.c_lessequals @t3 @t173 @t1)) % 3.13/3.42 (define @t526 () (not @t174)) % 3.13/3.42 (define @t527 () (tptp.c_lessequals @t154 @t111 tptp.tc_nat)) % 3.13/3.42 (define @t528 () (tptp.c_lessequals @t112 @t156 tptp.tc_nat)) % 3.13/3.42 (define @t529 () (@list @t112 @t111 @t152)) % 3.13/3.42 (define @t530 () (@list @t112 @t152 @t111)) % 3.13/3.42 (define @t531 () (tptp.c_HOL_Oord__class_Oless @t2 @t9 @t1)) % 3.13/3.42 (define @t532 () (tptp.hBOOL (tptp.hAPP @t62 @t111))) % 3.13/3.42 (define @t533 () (tptp.hAPP @t344 @t111)) % 3.13/3.42 (define @t534 () (tptp.hAPP (tptp.hAPP @t95 @t533) @t112)) % 3.13/3.42 (define @t535 () (= @t152 @t20)) % 3.13/3.42 (define @t536 () (not (tptp.c_HOL_Oord__class_Oless @t112 @t152 tptp.tc_nat))) % 3.13/3.42 (define @t537 () (@list @t112 @t152 @t62 @t111)) % 3.13/3.42 (define @t538 () (@var "V_ss" $$unsorted)) % 3.13/3.42 (define @t539 () (tptp.c_Lambda_OdB_OAbs @t303)) % 3.13/3.42 (define @t540 () (@list @t303 @t249 @t538)) % 3.13/3.42 (define @t541 () (not (tptp.c_InductTermi_OIT @t247))) % 3.13/3.42 (define @t542 () (@var "V_Ta" $$unsorted)) % 3.13/3.42 (define @t543 () (@var "V_T1" $$unsorted)) % 3.13/3.42 (define @t544 () (not (tptp.c_InductTermi_OIT @t114))) % 3.13/3.42 (define @t545 () (tptp.c_Lambda_Osubst @t247 @t114 @t111)) % 3.13/3.42 (define @t546 () (tptp.c_InductTermi_OIT @t545)) % 3.13/3.42 (define @t547 () (@var "V_T2" $$unsorted)) % 3.13/3.42 (define @t548 () (not (= tptp.v_T____ (tptp.c_Type_Otype_OFun @t543 @t547)))) % 3.13/3.42 (define @t549 () (@list @t543 @t547 @t247 @t114 @t111 @t36 @t542)) % 3.13/3.42 (define @t550 () (tptp.c_Lambda_Olift @t247 @t111)) % 3.13/3.42 (define @t551 () (@list @t247 @t111)) % 3.13/3.42 (define @t552 () (@var "V_ts" $$unsorted)) % 3.13/3.42 (define @t553 () (tptp.c_Lambda_OdB_OVar @t17)) % 3.13/3.42 (define @t554 () (@var "V_dB_H" $$unsorted)) % 3.13/3.42 (define @t555 () (tptp.c_Lambda_OdB_OAbs @t554)) % 3.13/3.42 (define @t556 () (tptp.c_lessequals @t120 @t117 tptp.tc_nat)) % 3.13/3.42 (define @t557 () (not @t556)) % 3.13/3.42 (define @t558 () (tptp.c_lessequals @t124 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t559 () (tptp.c_lessequals @t18 @t130 tptp.tc_nat)) % 3.13/3.42 (define @t560 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 3.13/3.42 (define @t561 () (tptp.hAPP (tptp.hAPP @t95 @t345) @t18)) % 3.13/3.42 (define @t562 () (tptp.c_HOL_Oord__class_Oless @t15 @t2 @t1)) % 3.13/3.42 (define @t563 () (@var "V_w" $$unsorted)) % 3.13/3.42 (define @t564 () (= @t563 @t3)) % 3.13/3.42 (define @t565 () (= @t6 @t2)) % 3.13/3.42 (define @t566 () (tptp.hAPP @t39 @t563)) % 3.13/3.42 (define @t567 () (= @t26 @t37)) % 3.13/3.42 (define @t568 () (= @t35 @t78)) % 3.13/3.42 (define @t569 () (tptp.hAPP @t40 @t84)) % 3.13/3.42 (define @t570 () (tptp.hAPP @t105 @t37)) % 3.13/3.42 (define @t571 () (tptp.hAPP @t570 @t35)) % 3.13/3.42 (define @t572 () (tptp.hAPP @t105 @t26)) % 3.13/3.42 (define @t573 () (tptp.hAPP @t105 @t563)) % 3.13/3.42 (define @t574 () (tptp.c_Lambda_OdB_OVar @t3)) % 3.13/3.42 (define @t575 () (tptp.c_HOL_Oord__class_Oless @t3 @t3 tptp.tc_nat)) % 3.13/3.42 (define @t576 () (@var "V_inc" $$unsorted)) % 3.13/3.42 (define @t577 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t393 @t37) @t35 @t1)) % 3.13/3.42 (define @t578 () (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t139 @t392) @t35 @t1)) % 3.13/3.42 (define @t579 () (tptp.c_Orderings_Oord__class_Omin @t3 @t52 @t1)) % 3.13/3.42 (define @t580 () (tptp.hAPP @t95 @t20)) % 3.13/3.42 (define @t581 () (tptp.hAPP @t580 @t273)) % 3.13/3.42 (define @t582 () (not (tptp.c_HOL_Oord__class_Oless @t37 @t35 @t1))) % 3.13/3.42 (define @t583 () (@list @t1 @t26 @t17 @t197)) % 3.13/3.42 (define @t584 () (not (tptp.c_lessequals @t152 @t18 tptp.tc_nat))) % 3.13/3.42 (define @t585 () (not @t434)) % 3.13/3.42 (define @t586 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t152 tptp.tc_nat)) % 3.13/3.42 (define @t587 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t152 tptp.tc_nat)) % 3.13/3.42 (define @t588 () (tptp.c_lessequals @t587 @t586 tptp.tc_nat)) % 3.13/3.42 (define @t589 () (tptp.hAPP @t231 @t152)) % 3.13/3.42 (define @t590 () (tptp.c_HOL_Ominus__class_Ominus @t123 @t152 tptp.tc_nat)) % 3.13/3.42 (define @t591 () (@list @t1 @t26 @t17 @t37)) % 3.13/3.42 (define @t592 () (@var "V_xa" $$unsorted)) % 3.13/3.42 (define @t593 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1)) % 3.13/3.42 (define @t594 () (@var "V_y_H" $$unsorted)) % 3.13/3.42 (define @t595 () (@var "V_x_H" $$unsorted)) % 3.13/3.42 (define @t596 () (tptp.c_HOL_Ominus__class_Ominus @t595 @t594 @t1)) % 3.13/3.42 (define @t597 () (not (= @t346 @t345))) % 3.13/3.42 (define @t598 () (tptp.c_HOL_Oord__class_Oless @t341 @t340 tptp.tc_nat)) % 3.13/3.42 (define @t599 () (not @t598)) % 3.13/3.42 (define @t600 () (tptp.c_HOL_Oord__class_Oless @t346 @t345 tptp.tc_nat)) % 3.13/3.42 (define @t601 () (not @t600)) % 3.13/3.42 (define @t602 () (not @t347)) % 3.13/3.42 (define @t603 () (tptp.c_HOL_Oord__class_Oless @t35 @t27 @t1)) % 3.13/3.42 (define @t604 () (not @t603)) % 3.13/3.42 (define @t605 () (tptp.c_lessequals @t461 @t460 @t1)) % 3.13/3.42 (define @t606 () (not @t605)) % 3.13/3.42 (define @t607 () (@list @t1 @t35 @t26 @t37)) % 3.13/3.42 (define @t608 () (tptp.c_HOL_Oord__class_Oless @t27 @t35 @t1)) % 3.13/3.42 (define @t609 () (not @t608)) % 3.13/3.42 (define @t610 () (tptp.c_lessequals @t84 @t456 @t1)) % 3.13/3.42 (define @t611 () (not (tptp.c_HOL_Oord__class_Oless @t273 @t17 tptp.tc_nat))) % 3.13/3.42 (define @t612 () (not (tptp.c_HOL_Oord__class_Oless @t273 @t18 tptp.tc_nat))) % 3.13/3.42 (define @t613 () (@list @t396 @t395)) % 3.13/3.42 (define @t614 () (tptp.c_HOL_Oord__class_Oless @t3 @t173 @t1)) % 3.13/3.42 (define @t615 () (not @t10)) % 3.13/3.42 (define @t616 () (not (tptp.c_HOL_Oord__class_Oless @t88 @t26 @t1))) % 3.13/3.42 (define @t617 () (tptp.hAPP @t39 @t262)) % 3.13/3.42 (define @t618 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t249 @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 3.13/3.42 (define @t619 () (not @t518)) % 3.13/3.42 (define @t620 () (tptp.c_HOL_Oord__class_Oless @t262 @t27 @t1)) % 3.13/3.42 (define @t621 () (not (tptp.c_lessequals @t255 @t27 @t1))) % 3.13/3.42 (define @t622 () (tptp.c_HOL_Oord__class_Oless @t58 @t3 @t1)) % 3.13/3.42 (define @t623 () (not @t314)) % 3.13/3.42 (define @t624 () (tptp.c_HOL_Oord__class_Oless @t27 @t262 @t1)) % 3.13/3.42 (define @t625 () (not (tptp.c_HOL_Oord__class_Oless @t26 @t37 tptp.tc_nat))) % 3.13/3.42 (define @t626 () (tptp.c_lessequals @t37 @t27 @t1)) % 3.13/3.42 (define @t627 () (not @t626)) % 3.13/3.42 (define @t628 () (tptp.c_lessequals @t69 @t27 @t1)) % 3.13/3.42 (define @t629 () (tptp.c_lessequals @t26 @t27 @t1)) % 3.13/3.42 (define @t630 () (not @t629)) % 3.13/3.42 (define @t631 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 3.13/3.42 (define @t632 () (tptp.hAPP @t44 @t26)) % 3.13/3.42 (define @t633 () (tptp.c_Suc @t152)) % 3.13/3.42 (define @t634 () (tptp.hAPP @t105 @t633)) % 3.13/3.42 (define @t635 () (tptp.hAPP @t634 @t17)) % 3.13/3.42 (define @t636 () (tptp.hAPP @t634 @t18)) % 3.13/3.42 (define @t637 () (tptp.c_HOL_Oord__class_Oless @t636 @t635 tptp.tc_nat)) % 3.13/3.42 (define @t638 () (tptp.c_HOL_Oord__class_Oless @t100 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t639 () (tptp.c_HOL_Oord__class_Oless @t17 @t100 tptp.tc_nat)) % 3.13/3.42 (define @t640 () (not @t639)) % 3.13/3.42 (define @t641 () (= @t17 @t18)) % 3.13/3.42 (define @t642 () (tptp.hAPP @t39 @t27)) % 3.13/3.42 (define @t643 () (tptp.hAPP @t642 @t27)) % 3.13/3.42 (define @t644 () (tptp.hAPP (tptp.hAPP @t40 @t643) @t643)) % 3.13/3.42 (define @t645 () (tptp.hAPP @t148 @t154)) % 3.13/3.42 (define @t646 () (tptp.c_HOL_Ominus__class_Ominus @t228 @t152 tptp.tc_nat)) % 3.13/3.42 (define @t647 () (tptp.hAPP (tptp.hAPP @t95 @t154) @t111)) % 3.13/3.42 (define @t648 () (tptp.hAPP @t231 @t111)) % 3.13/3.42 (define @t649 () (tptp.c_HOL_Ominus__class_Ominus @t648 @t152 tptp.tc_nat)) % 3.13/3.42 (define @t650 () (@var "V_ry" $$unsorted)) % 3.13/3.42 (define @t651 () (@var "V_ly" $$unsorted)) % 3.13/3.42 (define @t652 () (tptp.hAPP @t39 @t651)) % 3.13/3.42 (define @t653 () (@var "V_rx" $$unsorted)) % 3.13/3.42 (define @t654 () (@var "V_lx" $$unsorted)) % 3.13/3.42 (define @t655 () (tptp.hAPP @t39 @t654)) % 3.13/3.42 (define @t656 () (tptp.hAPP @t39 (tptp.hAPP @t655 @t653))) % 3.13/3.42 (define @t657 () (tptp.hAPP @t39 @t653)) % 3.13/3.42 (define @t658 () (tptp.hAPP @t657 @t650)) % 3.13/3.42 (define @t659 () (tptp.hAPP @t39 (tptp.hAPP @t655 @t651))) % 3.13/3.42 (define @t660 () (tptp.hAPP @t659 @t658)) % 3.13/3.42 (define @t661 () (@list @t1 @t654 @t651 @t653 @t650)) % 3.13/3.42 (define @t662 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t205 tptp.tc_nat)) % 3.13/3.42 (define @t663 () (tptp.hAPP @t106 @t108)) % 3.13/3.42 (define @t664 () (tptp.hAPP @t139 @t88)) % 3.13/3.42 (define @t665 () (tptp.hAPP (tptp.hAPP @t39 @t664) @t18)) % 3.13/3.42 (define @t666 () (tptp.hAPP @t44 @t18)) % 3.13/3.42 (define @t667 () (tptp.hAPP @t40 @t666)) % 3.13/3.42 (define @t668 () (@list @t18)) % 3.13/3.42 (define @t669 () (tptp.c_Lambda_OdB_OVar @t18)) % 3.13/3.42 (define @t670 () (tptp.v_sko__List__Xlexn__Xinduct__1 @t62)) % 3.13/3.42 (define @t671 () (@list @t66)) % 3.13/3.42 (define @t672 () (tptp.hAPP @t268 @t111)) % 3.13/3.42 (define @t673 () (@list @t111 @t152)) % 3.13/3.42 (define @t674 () (tptp.c_Lambda_Oliftn @t17 @t333 @t152)) % 3.13/3.42 (define @t675 () (@list @t17 @t111 @t152)) % 3.13/3.42 (define @t676 () (tptp.c_Lambda_OdB_OAbs @t249)) % 3.13/3.42 (define @t677 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t676) @t247)) % 3.13/3.42 (define @t678 () (@list @t249 @t247)) % 3.13/3.42 (define @t679 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t18 tptp.tc_nat)) % 3.13/3.42 (define @t680 () (tptp.c_lessequals @t38 @t27 @t1)) % 3.13/3.42 (define @t681 () (@var "V_dB2_H" $$unsorted)) % 3.13/3.42 (define @t682 () (@var "V_dB1_H" $$unsorted)) % 3.13/3.42 (define @t683 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t682) @t681)) % 3.13/3.42 (define @t684 () (not (= @t398 @t683))) % 3.13/3.42 (define @t685 () (@list @t396 @t395 @t682 @t681)) % 3.13/3.42 (define @t686 () (tptp.c_HOL_Oord__class_Oless @t140 @t367 @t1)) % 3.13/3.42 (define @t687 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 3.13/3.42 (define @t688 () (@var "V_rs" $$unsorted)) % 3.13/3.42 (define @t689 () (= @t688 @t538)) % 3.13/3.42 (define @t690 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t539 @t688 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t676 @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 3.13/3.42 (define @t691 () (@list @t303 @t688 @t249 @t538)) % 3.13/3.42 (define @t692 () (= @t303 @t249)) % 3.13/3.42 (define @t693 () (@var "V_U" $$unsorted)) % 3.13/3.42 (define @t694 () (@var "V_T" $$unsorted)) % 3.13/3.42 (define @t695 () (tptp.c_Type_Otype_OFun @t694 @t693)) % 3.13/3.42 (define @t696 () (@var "V_env" $$unsorted)) % 3.13/3.42 (define @t697 () (tptp.c_HOL_Oord__class_Oless @t38 @t27 @t1)) % 3.13/3.42 (define @t698 () (tptp.c_HOL_Oord__class_Oless @t300 @t299 @t1)) % 3.13/3.42 (define @t699 () (tptp.c_Suc @t111)) % 3.13/3.42 (define @t700 () (tptp.c_lessequals @t140 @t416 @t1)) % 3.13/3.42 (define @t701 () (tptp.hAPP @t257 @t37)) % 3.13/3.42 (define @t702 () (tptp.c_lessequals @t258 @t701 @t1)) % 3.13/3.42 (define @t703 () (tptp.c_lessequals @t280 @t269 tptp.tc_nat)) % 3.13/3.42 (define @t704 () (@list @t111 @t112)) % 3.13/3.42 (define @t705 () (= (tptp.hAPP @t264 @t21) @t18)) % 3.13/3.42 (define @t706 () (tptp.c_Divides_Odiv__class_Omod @t37 @t35 tptp.tc_nat)) % 3.13/3.42 (define @t707 () (tptp.c_Divides_Odiv__class_Odiv @t37 @t35 tptp.tc_nat)) % 3.13/3.42 (define @t708 () (@list @t26 @t37 @t35)) % 3.13/3.42 (define @t709 () (tptp.hAPP @t191 @t107)) % 3.13/3.42 (define @t710 () (tptp.hAPP @t186 @t3)) % 3.13/3.42 (define @t711 () (tptp.hAPP @t710 @t471)) % 3.13/3.42 (define @t712 () (= @t37 @t35)) % 3.13/3.42 (define @t713 () (not (= @t262 @t140))) % 3.13/3.42 (define @t714 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 3.13/3.42 (define @t715 () (not (tptp.c_lessequals @t6 @t88 @t1))) % 3.13/3.42 (define @t716 () (tptp.hAPP @t186 @t471)) % 3.13/3.42 (define @t717 () (tptp.hAPP @t710 @t6)) % 3.13/3.42 (define @t718 () (tptp.hAPP @t187 @t6)) % 3.13/3.42 (define @t719 () (tptp.hAPP @t718 @t2)) % 3.13/3.42 (define @t720 () (tptp.hAPP @t186 @t6)) % 3.13/3.42 (define @t721 () (tptp.hAPP @t186 @t183)) % 3.13/3.42 (define @t722 () (tptp.hAPP @t186 @t184)) % 3.13/3.42 (define @t723 () (tptp.hAPP @t187 @t3)) % 3.13/3.42 (define @t724 () (tptp.hAPP @t723 @t6)) % 3.13/3.42 (define @t725 () (tptp.hAPP @t187 @t184)) % 3.13/3.42 (define @t726 () (tptp.hAPP @t187 @t26)) % 3.13/3.42 (define @t727 () (tptp.hAPP @t726 @t35)) % 3.13/3.42 (define @t728 () (tptp.hAPP @t187 @t727)) % 3.13/3.42 (define @t729 () (tptp.hAPP @t187 @t35)) % 3.13/3.42 (define @t730 () (tptp.hAPP @t729 @t78)) % 3.13/3.42 (define @t731 () (tptp.hAPP @t726 @t730)) % 3.13/3.42 (define @t732 () (@list @t187 @t26 @t35 @t78 @t186 @t185 @t184 @t183 @t1)) % 3.13/3.42 (define @t733 () (tptp.hAPP @t726 @t37)) % 3.13/3.42 (define @t734 () (tptp.hAPP @t187 @t733)) % 3.13/3.42 (define @t735 () (tptp.hAPP @t734 @t35)) % 3.13/3.42 (define @t736 () (@list @t187 @t26 @t37 @t35 @t186 @t185 @t184 @t183 @t1)) % 3.13/3.42 (define @t737 () (tptp.hAPP @t187 @t37)) % 3.13/3.42 (define @t738 () (tptp.hAPP @t186 @t654)) % 3.13/3.42 (define @t739 () (tptp.hAPP @t186 @t653)) % 3.13/3.42 (define @t740 () (tptp.hAPP @t739 @t650)) % 3.13/3.42 (define @t741 () (tptp.hAPP @t738 @t740)) % 3.13/3.42 (define @t742 () (@list @t186 @t654 @t653 @t650 @t187 @t185 @t184 @t183 @t1)) % 3.13/3.42 (define @t743 () (tptp.hAPP @t186 (tptp.hAPP @t738 @t653))) % 3.13/3.42 (define @t744 () (tptp.hAPP @t186 @t651)) % 3.13/3.42 (define @t745 () (tptp.hAPP @t186 (tptp.hAPP @t738 @t651))) % 3.13/3.42 (define @t746 () (tptp.hAPP @t745 @t653)) % 3.13/3.42 (define @t747 () (@list @t186 @t654 @t651 @t653 @t187 @t185 @t184 @t183 @t1)) % 3.13/3.42 (define @t748 () (tptp.hAPP @t745 @t740)) % 3.13/3.42 (define @t749 () (@list @t186 @t654 @t651 @t653 @t650 @t187 @t185 @t184 @t183 @t1)) % 3.13/3.42 (define @t750 () (tptp.hAPP @t186 @t26)) % 3.13/3.42 (define @t751 () (tptp.hAPP @t186 @t37)) % 3.13/3.42 (define @t752 () (tptp.hAPP @t186 @t733)) % 3.13/3.42 (define @t753 () (tptp.hAPP @t187 @t18)) % 3.13/3.42 (define @t754 () (tptp.hAPP (tptp.hAPP @t186 (tptp.hAPP @t726 @t183)) @t18)) % 3.13/3.42 (define @t755 () (tptp.hAPP @t750 @t18)) % 3.13/3.42 (define @t756 () (tptp.hAPP @t187 @t755)) % 3.13/3.42 (define @t757 () (not (= @t97 @t273))) % 3.13/3.42 (define @t758 () (tptp.c_lessequals @t636 @t635 tptp.tc_nat)) % 3.13/3.42 (define @t759 () (tptp.c_HOL_Oord__class_Oless @t27 @t255 @t1)) % 3.13/3.42 (define @t760 () (not (tptp.c_InductTermi_OIT @t303))) % 3.13/3.42 (define @t761 () (not (tptp.c_Lambda_Obeta @t249 @t247))) % 3.13/3.42 (define @t762 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t114)) % 3.13/3.42 (define @t763 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t247)) % 3.13/3.42 (define @t764 () (tptp.hAPP @t763 @t114)) % 3.13/3.42 (define @t765 () (@list @t305)) % 3.13/3.42 (define @t766 () (tptp.c_Orderings_Oord__class_Omax @t6 @t3 @t1)) % 3.13/3.42 (define @t767 () (not @t229)) % 3.13/3.42 (define @t768 () (tptp.hAPP @t275 @t18)) % 3.13/3.42 (define @t769 () (tptp.c_HOL_Oord__class_Oless @t37 @t26 @t1)) % 3.13/3.42 (define @t770 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t111 tptp.tc_nat)) % 3.13/3.42 (define @t771 () (@list @t17 @t111)) % 3.13/3.42 (define @t772 () (tptp.c_Orderings_Oord__class_Omin @t18 @t17 tptp.tc_nat)) % 3.13/3.42 (define @t773 () (tptp.c_lessequals @t18 @t90 tptp.tc_nat)) % 3.13/3.42 (define @t774 () (tptp.hAPP @t344 @t112)) % 3.13/3.42 (define @t775 () (@list @t152 @t111 @t112)) % 3.13/3.42 (define @t776 () (tptp.hAPP @t115 @t152)) % 3.13/3.42 (define @t777 () (tptp.hAPP @t118 @t152)) % 3.13/3.42 (define @t778 () (not @t769)) % 3.13/3.42 (define @t779 () (@var "V_xs" $$unsorted)) % 3.13/3.42 (define @t780 () (tptp.hAPP @t519 @t90)) % 3.13/3.42 (define @t781 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 3.13/3.42 (define @t782 () (@var "V_xb" $$unsorted)) % 3.13/3.42 (define @t783 () (tptp.c_HOL_Oord__class_Oless @t27 @t299 @t1)) % 3.13/3.42 (define @t784 () (tptp.hAPP @t31 @t20)) % 3.13/3.42 (define @t785 () (= (tptp.c_Divides_Odiv__class_Odiv @t346 @t345 tptp.tc_nat) @t108)) % 3.13/3.42 (define @t786 () (tptp.hAPP @t642 @t37)) % 3.13/3.42 (define @t787 () (tptp.hAPP @t642 @t26)) % 3.13/3.42 (define @t788 () (tptp.hAPP @t105 @t20)) % 3.13/3.42 (define @t789 () (tptp.hAPP @t788 @t17)) % 3.13/3.42 (define @t790 () (tptp.hAPP @t788 @t18)) % 3.13/3.42 (define @t791 () (tptp.hAPP @t39 @t357)) % 3.13/3.42 (define @t792 () (not @t628)) % 3.13/3.42 (define @t793 () (tptp.c_HOL_Oord__class_Oless @t69 @t27 @t1)) % 3.13/3.42 (define @t794 () (tptp.c_HOL_Oord__class_Oless @t587 @t586 tptp.tc_nat)) % 3.13/3.42 (define @t795 () (tptp.c_Divides_Odiv__class_Odiv @t26 @t37 tptp.tc_nat)) % 3.13/3.42 (define @t796 () (not (tptp.c_HOL_Oord__class_Oless @t112 @t111 tptp.tc_nat))) % 3.13/3.42 (define @t797 () (tptp.c_Lambda_OdB_OVar @t112)) % 3.13/3.42 (define @t798 () (tptp.c_lessequals @t330 @t27 @t1)) % 3.13/3.42 (define @t799 () (not (tptp.c_HOL_Oord__class_Oless @t88 @t37 @t1))) % 3.13/3.42 (define @t800 () (tptp.hAPP @t519 @t6)) % 3.13/3.42 (define @t801 () (tptp.hAPP @t519 @t3)) % 3.13/3.42 (define @t802 () (tptp.c_HOL_Oord__class_Oless @t801 @t800 @t1)) % 3.13/3.42 (define @t803 () (@list @t1 @t37 @t3 @t6)) % 3.13/3.42 (define @t804 () (@list @t1 @t3 @t6 @t37)) % 3.13/3.42 (define @t805 () (@list @t1 @t18 @t17 @t26)) % 3.13/3.42 (define @t806 () (not (tptp.c_lessequals @t35 @t27 @t1))) % 3.13/3.42 (define @t807 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 3.13/3.42 (define @t808 () (@var "V_type2_H" $$unsorted)) % 3.13/3.42 (define @t809 () (@var "V_type2" $$unsorted)) % 3.13/3.42 (define @t810 () (@var "V_type1_H" $$unsorted)) % 3.13/3.42 (define @t811 () (@var "V_type1" $$unsorted)) % 3.13/3.42 (define @t812 () (not (= (tptp.c_Type_Otype_OFun @t811 @t809) (tptp.c_Type_Otype_OFun @t810 @t808)))) % 3.13/3.42 (define @t813 () (@list @t811 @t809 @t810 @t808)) % 3.13/3.42 (define @t814 () (tptp.hAPP @t39 @t303)) % 3.13/3.42 (define @t815 () (tptp.hAPP @t105 @t303)) % 3.13/3.42 (define @t816 () (not (= @t255 @t27))) % 3.13/3.42 (define @t817 () (tptp.c_HOL_Oord__class_Oless @t111 @t154 tptp.tc_nat)) % 3.13/3.42 (define @t818 () (tptp.c_HOL_Oord__class_Oless @t156 @t112 tptp.tc_nat)) % 3.13/3.42 (define @t819 () (tptp.c_HOL_Oord__class_Oless @t140 @t416 @t1)) % 3.13/3.42 (define @t820 () (tptp.c_HOL_Oord__class_Oless @t258 @t701 @t1)) % 3.13/3.42 (define @t821 () (tptp.c_HOL_Oord__class_Oless @t280 @t269 tptp.tc_nat)) % 3.13/3.42 (define @t822 () (not (tptp.hBOOL (tptp.hAPP @t62 @t152)))) % 3.13/3.42 (define @t823 () (tptp.c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1 @t62)) % 3.13/3.42 (define @t824 () (@list @t62 @t152)) % 3.13/3.42 (define @t825 () (= @t35 @t27)) % 3.13/3.42 (define @t826 () (tptp.c_lessequals @t84 @t83 @t1)) % 3.13/3.42 (define @t827 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 3.13/3.42 (define @t828 () (tptp.c_Orderings_Oord__class_Omax @t3 @t167 @t1)) % 3.13/3.42 (define @t829 () (tptp.c_Orderings_Oord__class_Omax @t3 @t2 @t1)) % 3.13/3.42 (define @t830 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t553 @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 3.13/3.42 (define @t831 () (tptp.hAPP (tptp.hAPP @t40 @t142) @t88)) % 3.13/3.42 (define @t832 () (tptp.c_Lambda_OdB_OAbs @t247)) % 3.13/3.42 (define @t833 () (tptp.c_lessequals @t27 @t69 @t1)) % 3.13/3.42 (define @t834 () (not @t833)) % 3.13/3.42 (define @t835 () (tptp.c_lessequals @t801 @t800 @t1)) % 3.13/3.42 (define @t836 () (tptp.c_HOL_Oord__class_Oless @t100 @t90 tptp.tc_nat)) % 3.13/3.42 (define @t837 () (tptp.c_HOL_Oord__class_Oless @t27 @t330 @t1)) % 3.13/3.42 (define @t838 () (not (= @t32 @t27))) % 3.13/3.42 (define @t839 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 3.13/3.42 (define @t840 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 3.13/3.42 (define @t841 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 3.13/3.42 (define @t842 () (= @t787 @t27)) % 3.13/3.42 (define @t843 () (= (tptp.hAPP @t44 @t27) @t27)) % 3.13/3.42 (define @t844 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 3.13/3.42 (define @t845 () (not (= @t69 @t27))) % 3.13/3.42 (define @t846 () (= @t593 @t27)) % 3.13/3.42 (define @t847 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t6 @t1)) % 3.13/3.42 (define @t848 () (not (= @t38 @t27))) % 3.13/3.42 (define @t849 () (= (tptp.hAPP @t383 @t26) @t26)) % 3.13/3.42 (define @t850 () (= (tptp.hAPP @t139 @t27) @t26)) % 3.13/3.42 (define @t851 () (@var "V_xc" $$unsorted)) % 3.13/3.42 (define @t852 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t669 @t688 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t830))) % 3.13/3.42 (define @t853 () (@list @t18 @t688 @t17 @t538)) % 3.13/3.42 (define @t854 () (not (tptp.c_Type_Otyping @t36 @t832 @t694))) % 3.13/3.42 (define @t855 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t694 @t36 @t247)) % 3.13/3.42 (define @t856 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t694 @t36 @t247)) % 3.13/3.42 (define @t857 () (tptp.c_HOL_Oord__class_Oless @t20 @t679 tptp.tc_nat)) % 3.13/3.42 (define @t858 () (tptp.c_Orderings_Oord__class_Omin @t9 @t829 @t1)) % 3.13/3.42 (define @t859 () (tptp.c_Orderings_Oord__class_Omax @t3 @t52 @t1)) % 3.13/3.42 (define @t860 () (tptp.c_lessequals @t594 @t595 @t1)) % 3.13/3.42 (define @t861 () (not (= @t847 @t596))) % 3.13/3.42 (define @t862 () (@list @t1 @t3 @t6 @t595 @t594)) % 3.13/3.42 (define @t863 () (tptp.c_HOL_Oord__class_Oless @t595 @t594 @t1)) % 3.13/3.42 (define @t864 () (tptp.c_lessequals @t90 @t100 tptp.tc_nat)) % 3.13/3.42 (define @t865 () (tptp.hAPP @t659 @t653)) % 3.13/3.42 (define @t866 () (@list @t1 @t654 @t651 @t653)) % 3.13/3.42 (define @t867 () (tptp.hAPP @t655 @t658)) % 3.13/3.42 (define @t868 () (@list @t1 @t654 @t653 @t650)) % 3.13/3.42 (define @t869 () (= (tptp.hAPP @t617 @t35) (tptp.hAPP @t569 @t456))) % 3.13/3.42 (define @t870 () (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Divides_Odiv__class_Omod @t17 @t20 tptp.tc_nat)))) % 3.13/3.42 (define @t871 () (tptp.hAPP @t275 @t20)) % 3.13/3.42 (define @t872 () (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Divides_Odiv__class_Odiv @t17 @t20 tptp.tc_nat)))) % 3.13/3.42 (define @t873 () (@list @t179 @t178 @t1)) % 3.13/3.42 (define @t874 () (@list @t493)) % 3.13/3.42 (define @t875 () (not (= @t97 @t20))) % 3.13/3.42 (define @t876 () (@var "V_f" $$unsorted)) % 3.13/3.42 (define @t877 () (@list @t35)) % 3.13/3.42 (define @t878 () (tptp.c_Lambda_OdB_OVar @t66)) % 3.13/3.42 (define @t879 () (@var "V_xd" $$unsorted)) % 3.13/3.42 (define @t880 () (tptp.hAPP @t179 @t66)) % 3.13/3.42 (define @t881 () (@list @t179 @t178 @t306 @t66 @t1)) % 3.13/3.42 (define @t882 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t333 @t552 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 3.13/3.42 (define @t883 () (not (tptp.c_Type_Otyping @t36 @t247 @t694))) % 3.13/3.42 (define @t884 () (@var "V_t_H" $$unsorted)) % 3.13/3.42 (define @t885 () (= (tptp.hAPP @t91 @t17) @t27)) % 3.13/3.42 (define @t886 () (@var "V_e_H" $$unsorted)) % 3.13/3.42 (define @t887 () (tptp.hAPP (tptp.c_Type_Oshift @t36 @t3 @t694 @t1) @t3)) % 3.13/3.42 (define @t888 () (forall (@list @t36 @t3 @t694 @t1) (= @t887 @t694))) % 3.13/3.42 (define @t889 () (tptp.c_Lambda_OdB_OVar @t20)) % 3.13/3.42 (define @t890 () (tptp.c_Type_Oshift tptp.v_e____ @t20 tptp.v_T_H_H____ tptp.tc_Type_Otype)) % 3.13/3.42 (define @t891 () (tptp.c_Type_Otyping @t890 @t889 tptp.v_T_H_H____)) % 3.13/3.42 (define @t892 () (@var "T_1" $$unsorted)) % 3.13/3.42 (define @t893 () (@var "T_2" $$unsorted)) % 3.13/3.42 (define @t894 () (tptp.tc_fun @t893 @t892)) % 3.13/3.42 (define @t895 () (@list @t893 @t892)) % 3.13/3.42 (define @t896 () (@var "V_Y" $$unsorted)) % 3.13/3.42 (define @t897 () (@var "V_X" $$unsorted)) % 3.13/3.42 (assume @p1 (forall @t12 (or @t11 @t10 @t8 @t5))) % 3.13/3.42 (assume @p2 (forall @t12 (or @t16 (= (tptp.c_HOL_Ominus__class_Ominus @t15 @t2 @t1) (tptp.c_Orderings_Oord__class_Omin @t14 @t13 @t1))))) % 3.13/3.42 (assume @p3 (forall @t24 (or @t23 @t19))) % 3.13/3.42 (assume @p4 (forall @t24 (or @t22 @t25))) % 3.13/3.42 (assume @p5 (forall @t34 (or @t33 (tptp.c_lessequals @t27 @t32 @t1) @t29))) % 3.13/3.42 (assume @p6 (forall (@list @t1 @t26 @t36 @t35 @t37) (or @t47 (= @t46 (tptp.hAPP @t43 @t41))))) % 3.13/3.42 (assume @p7 (forall @t12 (or @t11 @t53 @t51 @t49))) % 3.13/3.42 (assume @p8 (forall @t60 (or @t11 @t59 @t57 @t55))) % 3.13/3.42 (assume @p9 (forall @t61 (or @t11 (tptp.c_lessequals @t15 @t6 @t1)))) % 3.13/3.42 (assume @p10 (forall @t61 (or @t11 (tptp.c_lessequals @t15 @t3 @t1)))) % 3.13/3.42 (assume @p11 (forall @t68 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Suc @t65)))) @t64))) % 3.13/3.42 (assume @p12 (forall @t75 (or @t74 (= @t73 @t70)))) % 3.13/3.42 (assume @p13 (forall @t87 (or @t86 @t85 @t82 @t81 @t79 @t77))) % 3.13/3.42 (assume @p14 (forall @t34 (or @t33 (tptp.c_lessequals @t88 @t32 @t1) @t89))) % 3.13/3.42 (assume @p15 (forall @t94 (or @t93 @t92 (= (tptp.hAPP @t91 @t90) @t27)))) % 3.13/3.42 (assume @p16 (forall @t24 (= @t99 @t98))) % 3.13/3.42 (assume @p17 (forall @t24 (= @t101 @t98))) % 3.13/3.42 (assume @p18 (forall (@list @t104 @t18 @t17) (or (= @t104 @t108) (not (tptp.c_HOL_Oord__class_Oless @t18 (tptp.hAPP @t106 @t107) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP @t106 @t104) @t18 tptp.tc_nat)) @t103))) % 3.13/3.42 (assume @p19 (forall (@list @t1 @t26 @t36 @t37 @t78) (or @t47 (= (tptp.hAPP @t45 @t110) @t109)))) % 3.13/3.42 (assume @p20 (forall @t126 (or @t125 @t122 @t113))) % 3.13/3.42 (assume @p21 (forall @t127 (or @t121 (not @t125) @t113))) % 3.13/3.42 (assume @p22 (forall @t132 (or @t131 @t122 @t128))) % 3.13/3.42 (assume @p23 (forall @t127 (or @t121 (not @t131) @t128))) % 3.13/3.42 (assume @p24 (forall @t134 (or @t47 @t133 (= @t35 @t110)))) % 3.13/3.42 (assume @p25 (forall @t134 (or @t47 @t133 (= @t41 @t78)))) % 3.13/3.42 (assume @p26 (forall (@list @t62 @t17 @t3) (or @t138 @t136 (not (tptp.c_HOL_Oord__class_Oless @t3 @t135 tptp.tc_nat)) @t64))) % 3.13/3.42 (assume @p27 (forall @t144 (or @t74 (= (tptp.hAPP (tptp.hAPP @t40 @t143) @t35) @t140)))) % 3.13/3.42 (assume @p28 (forall @t147 (or @t74 (= (tptp.hAPP (tptp.hAPP @t40 @t146) @t35) @t140)))) % 3.13/3.42 (assume @p29 (forall @t149 (tptp.c_HOL_Oord__class_Oless @t111 (tptp.c_Suc (tptp.hAPP @t148 @t18)) tptp.tc_nat))) % 3.13/3.42 (assume @p30 (forall @t149 (tptp.c_HOL_Oord__class_Oless @t111 (tptp.c_Suc (tptp.hAPP @t96 @t111)) tptp.tc_nat))) % 3.13/3.42 (assume @p31 (forall @t151 (tptp.c_HOL_Oord__class_Oless @t18 (tptp.c_Suc @t150) tptp.tc_nat))) % 3.13/3.42 (assume @p32 (forall @t158 (or @t157 (not @t155) @t153))) % 3.13/3.42 (assume @p33 (forall @t159 (or @t155 (not @t157) @t153))) % 3.13/3.42 (assume @p34 (forall @t12 (or @t11 @t162 @t161 @t51))) % 3.13/3.42 (assume @p35 (forall @t168 (or @t11 (tptp.c_lessequals @t167 @t3 @t1) @t166 @t164))) % 3.13/3.42 (assume @p36 (forall @t175 (or @t11 @t174 @t172 @t170))) % 3.13/3.42 (assume @p37 (forall @t61 (or @t11 (tptp.c_lessequals @t3 @t9 @t1)))) % 3.13/3.42 (assume @p38 (forall @t176 (or @t11 (tptp.c_lessequals @t6 @t9 @t1)))) % 3.13/3.42 (assume @p39 (forall @t177 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t1) @t3 @t1)))) % 3.13/3.42 (assume @p40 (forall @t182 (= (tptp.c_Nat_Onat_Onat__rec @t179 @t178 @t181 @t1) (tptp.hAPP @t180 (tptp.c_Nat_Onat_Onat__rec @t179 @t178 @t66 @t1))))) % 3.13/3.42 (assume @p41 (forall (@list @t185 @t3 @t189 @t104 @t187 @t186 @t184 @t183 @t1) (or (= (tptp.hAPP (tptp.hAPP @t185 @t192) @t104) (tptp.hAPP @t191 @t190)) @t188))) % 3.13/3.42 (assume @p42 (forall @t168 (or @t11 (= (tptp.c_Orderings_Oord__class_Omin @t167 @t3 @t1) (tptp.c_Orderings_Oord__class_Omax @t193 (tptp.c_Orderings_Oord__class_Omin @t2 @t3 @t1) @t1))))) % 3.13/3.42 (assume @p43 (forall @t12 (or @t11 (= @t196 @t195)))) % 3.13/3.42 (assume @p44 (forall @t203 (or @t33 (tptp.c_HOL_Oord__class_Oless @t202 @t32 @t1) @t201 @t200 @t198))) % 3.13/3.42 (assume @p45 (forall @t24 (= @t205 (tptp.c_HOL_Ominus__class_Ominus @t18 @t204 tptp.tc_nat)))) % 3.13/3.42 (assume @p46 (forall @t144 (or @t209 @t208 @t207 @t206 @t29))) % 3.13/3.42 (assume @p47 (forall @t144 (or @t209 @t208 @t207 @t211 @t82))) % 3.13/3.42 (assume @p48 (forall @t68 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Suc @t212)))) @t64))) % 3.13/3.42 (assume @p49 (forall @t68 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Suc @t213)))) @t64))) % 3.13/3.42 (assume @p50 (forall @t24 (or @t216 @t215))) % 3.13/3.42 (assume @p51 (forall @t24 (or @t214 @t217))) % 3.13/3.42 (assume @p52 (forall @t220 (or @t219 (not @t218)))) % 3.13/3.42 (assume @p53 (forall @t220 (or @t218 @t221))) % 3.13/3.42 (assume @p54 (forall @t227 (or @t226 @t223))) % 3.13/3.42 (assume @p55 (forall @t227 (or @t226 (not (tptp.c_HOL_Oord__class_Oless @t3 @t2 tptp.tc_nat))))) % 3.13/3.42 (assume @p56 (forall @t158 (or @t229 (not (tptp.c_HOL_Oord__class_Oless @t228 @t152 tptp.tc_nat))))) % 3.13/3.42 (assume @p57 (forall @t233 (or (tptp.c_HOL_Oord__class_Oless @t111 @t232 tptp.tc_nat) @t230))) % 3.13/3.42 (assume @p58 (forall @t235 (or (tptp.c_HOL_Oord__class_Oless @t111 @t234 tptp.tc_nat) @t230))) % 3.13/3.42 (assume @p59 (forall @t203 (or @t33 (tptp.c_lessequals @t202 @t32 @t1) (not (tptp.c_lessequals @t26 @t88 @t1)) @t29 @t236))) % 3.13/3.42 (assume @p60 (forall @t134 (or @t239 @t238 (not @t237)))) % 3.13/3.42 (assume @p61 (forall @t241 (or @t239 @t237 @t240))) % 3.13/3.42 (assume @p62 (forall @t134 (or @t239 @t238 (not @t242)))) % 3.13/3.42 (assume @p63 (forall @t243 (or @t239 @t242 @t240))) % 3.13/3.42 (assume @p64 (forall @t24 (or (= @t246 (tptp.c_Suc @t21)) @t245))) % 3.13/3.42 (assume @p65 (forall (@list @t249 @t247 @t152) (= (tptp.c_Lambda_Olift @t251 @t152) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t249 @t152)) @t248)))) % 3.13/3.42 (assume @p66 (forall @t61 (or @t256 (tptp.c_lessequals @t27 @t255 @t1)))) % 3.13/3.42 (assume @p67 (forall (@list @t1 @t26 @t35) (or @t259 (= @t140 @t258)))) % 3.13/3.42 (assume @p68 (forall @t263 (or @t208 (= @t262 @t261)))) % 3.13/3.42 (assume @p69 (forall @t24 (= @t97 @t265))) % 3.13/3.42 (assume @p70 (forall (@list @t18 @t266 @t152 @t17) (or (not (= (tptp.hAPP @t96 @t266) @t269)) @t267 @t214))) % 3.13/3.42 (assume @p71 (forall @t61 (or @t259 (= @t272 (tptp.hAPP @t270 @t3))))) % 3.13/3.42 (assume @p72 (forall @t24 (or @t277 @t274))) % 3.13/3.42 (assume @p73 (forall @t24 (or @t277 @t278))) % 3.13/3.42 (assume @p74 (forall @t220 (or (= (tptp.c_Divides_Odiv__class_Odiv @t279 @t17 tptp.tc_nat) @t18) @t103))) % 3.13/3.42 (assume @p75 (forall @t24 (or (= (tptp.c_Divides_Odiv__class_Odiv @t276 @t17 tptp.tc_nat) @t18) @t103))) % 3.13/3.42 (assume @p76 (forall (@list @t112 @t152 @t18) (or (= (tptp.c_HOL_Ominus__class_Ominus @t282 @t18 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t281 @t280 tptp.tc_nat)) @t153))) % 3.13/3.42 (assume @p77 (forall @t285 (or @t284 @t283))) % 3.13/3.42 (assume @p78 (forall @t177 (or @t259 (= (tptp.hAPP @t286 @t3) @t3)))) % 3.13/3.42 (assume @p79 (forall @t289 (or @t288 @t287))) % 3.13/3.42 (assume @p80 (forall @t289 (or @t290 @t287))) % 3.13/3.42 (assume @p81 (forall @t289 (or @t290 @t291))) % 3.13/3.42 (assume @p82 (forall @t289 (or @t259 @t291))) % 3.13/3.42 (assume @p83 (forall @t289 (or @t259 @t287))) % 3.13/3.42 (assume @p84 (forall @t144 (or @t209 @t208 @t292 @t206 @t200))) % 3.13/3.42 (assume @p85 (forall @t296 (or (tptp.c_HOL_Oord__class_Oless @t18 @t295 tptp.tc_nat) @t25 @t294))) % 3.13/3.42 (assume @p86 (forall @t289 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t26 @t26 @t1) @t88) @t297))) % 3.13/3.42 (assume @p87 (= @t298 @t273)) % 3.13/3.42 (assume @p88 (forall @t263 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t141 @t37 @t1) @t141)))) % 3.13/3.42 (assume @p89 (forall @t302 (or @t33 @t19 (not @t301)))) % 3.13/3.42 (assume @p90 (forall @t302 (or @t33 @t301 @t25))) % 3.13/3.42 (assume @p91 (forall (@list @t303 @t247 @t111 @t249) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t303 @t247 @t111) (tptp.c_Lambda_Osubst @t249 @t247 @t111)) @t304))) % 3.13/3.42 (assume @p92 (forall @t309 (= (tptp.c_Lambda_OdB_OdB__case @t179 @t178 @t306 @t308 @t1) @t307))) % 3.13/3.42 (assume @p93 (forall @t315 (or @t11 @t314 @t313 @t311))) % 3.13/3.42 (assume @p94 (forall @t227 (= (tptp.hAPP (tptp.hAPP @t95 @t317) @t318) (tptp.hAPP (tptp.hAPP @t95 @t318) @t317)))) % 3.13/3.42 (assume @p95 (forall (@list @t3 @t35 @t78) (= (tptp.hAPP (tptp.hAPP @t95 @t319) @t320) (tptp.hAPP (tptp.hAPP @t95 @t320) @t319)))) % 3.13/3.42 (assume @p96 (forall (@list @t1 @t3 @t35 @t78) (or @t324 @t323 (= (tptp.hAPP (tptp.hAPP @t40 @t321) @t322) (tptp.hAPP (tptp.hAPP @t40 @t322) @t321))))) % 3.13/3.42 (assume @p97 (forall @t12 (or @t324 @t323 (= @t327 (tptp.hAPP (tptp.hAPP @t40 @t326) @t325))))) % 3.13/3.42 (assume @p98 (forall @t24 (= (tptp.c_Orderings_Oord__class_Omax @t100 @t90 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t18 @t17 tptp.tc_nat))))) % 3.13/3.42 (assume @p99 (forall @t329 (or @t328 (not (tptp.c_HOL_Oord__class_Oless @t17 @t273 tptp.tc_nat))))) % 3.13/3.42 (assume @p100 (forall @t289 (or @t332 @t28 (not @t331)))) % 3.13/3.42 (assume @p101 (forall @t289 (or @t332 @t331 @t29))) % 3.13/3.42 (assume @p102 (forall @t24 (tptp.c_lessequals @t108 @t18 tptp.tc_nat))) % 3.13/3.42 (assume @p103 (forall @t61 (or @t11 (= (tptp.c_Orderings_Oord__class_Omin @t3 @t15 @t1) @t15)))) % 3.13/3.42 (assume @p104 (forall (@list @t111 @t249 @t152) (or (= (tptp.c_Lambda_Osubst @t333 @t249 @t152) @t333) (= @t111 @t152) (tptp.c_HOL_Oord__class_Oless @t152 @t111 tptp.tc_nat)))) % 3.13/3.42 (assume @p105 (forall @t127 (or (= @t334 (tptp.c_HOL_Ominus__class_Ominus @t18 @t130 tptp.tc_nat)) @t128))) % 3.13/3.42 (assume @p106 (forall @t127 (or (= @t334 (tptp.c_HOL_Ominus__class_Ominus @t124 @t17 tptp.tc_nat)) @t113))) % 3.13/3.42 (assume @p107 (forall @t263 (or @t335 (= (tptp.hAPP (tptp.hAPP @t40 @t38) @t37) @t26)))) % 3.13/3.42 (assume @p108 (forall (@list @t62 @t37 @t3) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t336 @t3) @t37 tptp.tc_nat)))) @t136))) % 3.13/3.42 (assume @p109 (forall (@list @t62 @t37 @t78) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t336 @t78) @t37 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t62 @t78))))) % 3.13/3.42 (assume @p110 (forall @t24 (or (= @t339 @t337) @t338))) % 3.13/3.42 (assume @p111 (forall @t343 (or @t342 @t293))) % 3.13/3.42 (assume @p112 (forall @t348 (or @t347 @t293))) % 3.13/3.42 (assume @p113 (forall @t351 (or @t259 (= (tptp.hAPP (tptp.hAPP @t30 @t350) @t104) (tptp.hAPP @t349 @t190))))) % 3.13/3.42 (assume @p114 (forall @t68 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Suc @t352)))) @t64))) % 3.13/3.42 (assume @p115 (forall @t34 (or @t290 (= @t355 @t354)))) % 3.13/3.42 (assume @p116 (forall @t34 (or @t92 (= @t355 @t356)))) % 3.13/3.42 (assume @p117 (forall (@list @t1 @t3 @t17) (or @t259 (= (tptp.hAPP @t349 @t90) (tptp.hAPP @t253 (tptp.hAPP @t349 @t17)))))) % 3.13/3.42 (assume @p118 (forall @t360 (or @t259 (= @t359 @t358)))) % 3.13/3.42 (assume @p119 (forall @t363 (or (tptp.c_lessequals @t156 @t362 tptp.tc_nat) @t361 @t128))) % 3.13/3.42 (assume @p120 (forall @t87 (or @t368 (tptp.c_lessequals @t140 @t367 @t1) @t366 @t365))) % 3.13/3.42 (assume @p121 (forall @t34 (or @t208 (= @t374 @t373)))) % 3.13/3.42 (assume @p122 (forall @t34 (or @t208 (= @t374 @t375)))) % 3.13/3.42 (assume @p123 (forall @t24 (or @t376 @t25))) % 3.13/3.42 (assume @p124 (forall @t24 (or @t19 @t377))) % 3.13/3.42 (assume @p125 (forall @t381 (or (not @t380) @t379))) % 3.13/3.42 (assume @p126 (forall @t61 (or @t259 (= @t325 @t382)))) % 3.13/3.42 (assume @p127 (forall @t24 (= @t276 @t279))) % 3.13/3.42 (assume @p128 (forall @t387 (or @t386 @t385 @t385 @t384))) % 3.13/3.42 (assume @p129 (forall @t263 (or @t259 (= @t69 @t388)))) % 3.13/3.42 (assume @p130 (forall @t24 (tptp.c_HOL_Oord__class_Oless @t21 @t100 tptp.tc_nat))) % 3.13/3.42 (assume @p131 (forall @t390 (or @t208 (= (tptp.hAPP @t370 @t97) (tptp.hAPP (tptp.hAPP @t40 @t389) @t371))))) % 3.13/3.42 (assume @p132 (forall @t391 (or @t208 (= (tptp.hAPP (tptp.hAPP @t369 @t262) @t17) (tptp.hAPP @t372 (tptp.hAPP (tptp.hAPP @t369 @t37) @t17)))))) % 3.13/3.42 (assume @p133 (forall @t147 (or @t74 (= @t394 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t393 @t392) @t35 @t1))))) % 3.13/3.42 (assume @p134 (forall @t399 (= (tptp.c_Lambda_OdB_OdB__case @t179 @t178 @t306 @t398 @t1) @t397))) % 3.13/3.42 (assume @p135 (forall @t263 (or @t386 (tptp.c_lessequals @t27 @t262 @t1) @t401 @t29))) % 3.13/3.42 (assume @p136 (forall @t34 (or @t33 (tptp.c_HOL_Oord__class_Oless @t355 @t88 @t1) @t201 @t200))) % 3.13/3.42 (assume @p137 (forall @t405 (or @t404 @t4 @t8 @t403))) % 3.13/3.42 (assume @p138 (forall @t315 (or @t408 @t310 @t313 @t407))) % 3.13/3.42 (assume @p139 (forall @t61 (or @t11 @t409 @t49))) % 3.13/3.42 (assume @p140 (forall @t61 (or @t11 (not @t409) @t48))) % 3.13/3.42 (assume @p141 (forall @t61 (or @t11 (= @t9 @t3) @t164))) % 3.13/3.42 (assume @p142 (forall @t12 (or @t259 (= @t411 (tptp.hAPP (tptp.hAPP @t40 @t272) @t2))))) % 3.13/3.42 (assume @p143 (forall @t12 (or @t413 (= @t411 (tptp.hAPP @t270 @t412))))) % 3.13/3.42 (assume @p144 (forall @t227 (= (tptp.hAPP @t414 @t225) (tptp.hAPP @t224 @t415)))) % 3.13/3.42 (assume @p145 (forall @t296 (= (tptp.hAPP (tptp.hAPP @t95 @t97) @t152) (tptp.hAPP @t96 @t295)))) % 3.13/3.42 (assume @p146 (forall @t147 (or @t208 @t420))) % 3.13/3.42 (assume @p147 (forall @t147 (or @t208 (= @t417 (tptp.hAPP @t260 @t140))))) % 3.13/3.42 (assume @p148 (forall @t147 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t420))) % 3.13/3.42 (assume @p149 (forall @t424 (or @t259 (= @t423 (tptp.hAPP @t421 @t78))))) % 3.13/3.42 (assume @p150 (forall @t147 (or @t259 (= @t419 (tptp.hAPP @t421 @t37))))) % 3.13/3.42 (assume @p151 (forall @t424 (or @t259 (= @t423 (tptp.hAPP @t257 (tptp.hAPP @t139 @t78)))))) % 3.13/3.42 (assume @p152 (forall @t147 (or @t259 @t420))) % 3.13/3.42 (assume @p153 (forall @t220 (or @t102 @t426 (not @t425)))) % 3.13/3.42 (assume @p154 (forall @t390 (or @t290 (= (tptp.hAPP @t31 @t97) (tptp.hAPP (tptp.hAPP @t39 @t427) @t32))))) % 3.13/3.42 (assume @p155 (forall @t220 (or @t430 @t429))) % 3.13/3.42 (assume @p156 (forall @t24 (or @t431 @t429))) % 3.13/3.42 (assume @p157 (forall (@list @t1 @t3 @t6 @t2 @t114) (or @t413 (not (= @t411 (tptp.hAPP @t270 @t114))) (= @t412 @t114)))) % 3.13/3.42 (assume @p158 (forall @t235 (or (tptp.c_lessequals @t111 @t234 tptp.tc_nat) @t128))) % 3.13/3.42 (assume @p159 (forall @t233 (or (tptp.c_lessequals @t111 @t232 tptp.tc_nat) @t128))) % 3.13/3.42 (assume @p160 (forall @t435 (or @t434 @t433))) % 3.13/3.42 (assume @p161 (forall @t296 (or @t19 @t433))) % 3.13/3.42 (assume @p162 (forall @t227 (or @t436 (not (tptp.c_lessequals @t3 @t2 tptp.tc_nat))))) % 3.13/3.42 (assume @p163 (forall @t227 (or @t436 @t438))) % 3.13/3.42 (assume @p164 (forall @t147 (or @t440 (= @t439 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t71 @t37 @t1) @t35 @t1))))) % 3.13/3.42 (assume @p165 (forall @t147 (or @t440 (= @t439 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t26 @t392 @t1) @t35 @t1))))) % 3.13/3.42 (assume @p166 (forall @t94 (or @t290 (= (tptp.hAPP (tptp.hAPP @t30 @t88) @t17) @t88)))) % 3.13/3.42 (assume @p167 (forall @t61 (or @t11 @t441 @t49))) % 3.13/3.42 (assume @p168 (forall @t61 (or @t11 (not @t441) @t48))) % 3.13/3.42 (assume @p169 (forall @t61 (or @t11 (= @t15 @t6) @t164))) % 3.13/3.42 (assume @p170 (forall @t12 (or @t16 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t2 @t1) (tptp.c_Orderings_Oord__class_Omax @t14 @t13 @t1))))) % 3.13/3.42 (assume @p171 (forall @t24 (or (tptp.c_HOL_Oord__class_Oless @t205 @t17 tptp.tc_nat) @t103))) % 3.13/3.42 (assume @p172 (forall @t61 (or @t11 @t402 @t163))) % 3.13/3.42 (assume @p173 (forall @t177 (or @t11 (not @t444) @t443))) % 3.13/3.42 (assume @p174 (forall @t24 (or (tptp.c_lessequals @t205 @t17 tptp.tc_nat) @t103))) % 3.13/3.42 (assume @p175 (forall (@list @t1 @t3 @t6 @t445) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t40 @t272 @t445 @t1 @t1) (tptp.hAPP @t271 (tptp.c_List_Ofoldl @t40 @t6 @t445 @t1 @t1)))))) % 3.13/3.42 (assume @p176 (forall @t387 (or @t92 (= @t30 (tptp.c_Power_Opower_Opower @t88 @t39 @t1))))) % 3.13/3.42 (assume @p177 (forall (@list @t447 @t446 @t1 @t26 @t17) (= (tptp.hAPP @t448 @t90) (tptp.hAPP (tptp.hAPP @t446 @t26) (tptp.hAPP @t448 @t17))))) % 3.13/3.42 (assume @p178 (forall @t451 (or (tptp.c_HOL_Oord__class_Oless @t450 @t449 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t18 @t266 tptp.tc_nat)) @t215))) % 3.13/3.42 (assume @p179 (forall @t453 (or @t138 (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Suc @t452)))) @t64))) % 3.13/3.42 (assume @p180 (forall @t302 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t300 @t299)) @t283))) % 3.13/3.42 (assume @p181 (forall @t435 (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Odiv @t152 @t17 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t152 @t18 tptp.tc_nat) tptp.tc_nat) @t25 @t454))) % 3.13/3.42 (assume @p182 (forall @t263 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t141 @t37 @t1) @t27)))) % 3.13/3.42 (assume @p183 (forall @t24 (or @t455 @t215 @t103))) % 3.13/3.42 (assume @p184 (forall @t147 (or @t86 @t76 @t82 @t458))) % 3.13/3.42 (assume @p185 (forall @t147 (or @t86 @t76 @t82 @t463))) % 3.13/3.42 (assume @p186 (forall @t147 (or @t464 @t76 @t82 @t458))) % 3.13/3.42 (assume @p187 (forall @t147 (or @t464 @t76 @t82 @t463))) % 3.13/3.42 (assume @p188 (forall @t147 (or @t74 (= @t70 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t72 @t392) @t35 @t1))))) % 3.13/3.42 (assume @p189 (forall @t34 (or @t290 (= @t354 @t356)))) % 3.13/3.42 (assume @p190 (forall (@list @t62 @t18 @t17 @t3) (or (tptp.hBOOL (tptp.hAPP @t62 @t108)) (not @t136) (not (tptp.c_HOL_Oord__class_Oless @t18 (tptp.hAPP @t106 @t378) tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP @t106 @t3) @t18 tptp.tc_nat))))) % 3.13/3.42 (assume @p191 (forall @t467 (or @t11 @t466 @t165 (not @t465)))) % 3.13/3.42 (assume @p192 (forall @t351 (or @t259 (= (tptp.hAPP (tptp.hAPP @t39 @t350) @t357) (tptp.hAPP @t349 @t468))))) % 3.13/3.42 (assume @p193 (forall @t453 (or (tptp.c_lessequals @t470 @t17 tptp.tc_nat) @t469 @t63))) % 3.13/3.42 (assume @p194 (forall (@list @t186 @t185 @t3 @t189 @t104 @t187 @t184 @t183 @t1) (or (= (tptp.hAPP (tptp.hAPP @t186 @t192) @t471) (tptp.hAPP @t191 @t468)) @t188))) % 3.13/3.42 (assume @p195 (forall (@list @t17 @t247 @t152) (= (tptp.c_Lambda_Oliftn @t90 @t247 @t152) (tptp.c_Lambda_Olift @t472 @t152)))) % 3.13/3.42 (assume @p196 (forall (@list @t112 @t111 @t114 @t18) (or @t113 (= @t120 (tptp.hAPP @t116 @t124))))) % 3.13/3.42 (assume @p197 (forall @t405 (or @t11 @t50 @t473))) % 3.13/3.42 (assume @p198 (forall @t12 (or @t11 @t48 @t473))) % 3.13/3.42 (assume @p199 (forall @t12 (or @t11 @t474 @t161))) % 3.13/3.42 (assume @p200 (forall @t12 (or @t11 @t474 @t51))) % 3.13/3.42 (assume @p201 (forall @t175 (or @t11 @t475 @t172))) % 3.13/3.42 (assume @p202 (forall @t175 (or @t11 @t475 @t170))) % 3.13/3.42 (assume @p203 (forall (@list @t1 @t3 @t37 @t26) (or @t11 @t56 @t476))) % 3.13/3.42 (assume @p204 (forall @t60 (or @t11 @t54 @t476))) % 3.13/3.42 (assume @p205 (forall @t147 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t479 @t37 @t1) @t478) @t477))) % 3.13/3.42 (assume @p206 (forall @t75 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t480 @t37 @t1) @t478) @t477))) % 3.13/3.42 (assume @p207 (forall @t484 (or @t259 (= (tptp.hAPP @t483 @t18) (tptp.hAPP (tptp.hAPP @t39 @t482) @t18))))) % 3.13/3.42 (assume @p208 (forall @t24 (or @t485 @t214 @t103))) % 3.13/3.42 (assume @p209 (forall @t61 (or @t386 @t489 @t488 @t487 @t486))) % 3.13/3.42 (assume @p210 (forall @t61 (or @t386 @t489 @t488 @t487 @t490))) % 3.13/3.42 (assume @p211 (forall @t492 (or (not (= @t378 (tptp.c_Suc @t6))) @t491))) % 3.13/3.42 (assume @p212 (forall @t496 (or (not (= @t181 @t495)) @t494))) % 3.13/3.42 (assume @p213 (forall @t134 (or @t239 @t498 (not @t497)))) % 3.13/3.42 (assume @p214 (forall @t241 (or @t239 @t497 @t499))) % 3.13/3.42 (assume @p215 (forall @t134 (or @t239 @t498 (not @t500)))) % 3.13/3.42 (assume @p216 (forall @t243 (or @t239 @t500 @t499))) % 3.13/3.42 (assume @p217 (forall @t24 (or @t501 @t245))) % 3.13/3.42 (assume @p218 (forall @t127 (or @t502 @t113 (= @t124 @t17)))) % 3.13/3.42 (assume @p219 (forall @t127 (or @t502 @t128 (= @t18 @t130)))) % 3.13/3.42 (assume @p220 (forall @t168 (or @t11 @t160 @t50 (not @t474)))) % 3.13/3.42 (assume @p221 (forall (@list @t111 @t112 @t114 @t17) (or @t128 (= (tptp.hAPP @t119 @t130) @t117)))) % 3.13/3.42 (assume @p222 (forall @t507 (or @t74 @t506 @t505 (= @t394 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP @t40 @t504) @t503) @t35 @t1))))) % 3.13/3.42 (assume @p223 (tptp.c_HOL_Oord__class_Oless @t20 @t273 tptp.tc_nat)) % 3.13/3.42 (assume @p224 (forall @t289 (or @t332 @t510 @t509))) % 3.13/3.42 (assume @p225 (forall @t289 (or @t332 @t508 @t511))) % 3.13/3.42 (assume @p226 (forall @t289 (or @t512 @t508 @t511))) % 3.13/3.42 (assume @p227 (forall @t289 (or @t512 @t510 @t509))) % 3.13/3.42 (assume @p228 (forall @t24 (or @t513 @t278 @t274))) % 3.13/3.42 (assume @p229 (forall @t24 (or @t513 @t514 @t328))) % 3.13/3.42 (assume @p230 (forall @t515 (or @t86 @t80 @t200 (not (tptp.c_HOL_Oord__class_Oless @t27 @t388 @t1))))) % 3.13/3.42 (assume @p231 (forall @t515 (or @t86 @t80 @t200 (not @t516)))) % 3.13/3.42 (assume @p232 (forall @t263 (or @t86 @t516 @t81 @t200))) % 3.13/3.42 (assume @p233 (forall @t263 (or @t256 @t516 @t517 @t509))) % 3.13/3.42 (assume @p234 (forall @t24 (or @t518 @t103 @t454))) % 3.13/3.42 (assume @p235 (forall @t391 (or @t33 @t76 @t401 (not @t521)))) % 3.13/3.42 (assume @p236 (forall (@list @t1 @t3 @t445) (or @t522 (= (tptp.hAPP @t271 (tptp.c_List_Ofoldl @t40 @t27 @t445 @t1 @t1)) (tptp.c_List_Ofoldl @t40 @t3 @t445 @t1 @t1))))) % 3.13/3.42 (assume @p237 (forall @t168 (or @t11 @t160 @t523))) % 3.13/3.42 (assume @p238 (forall @t405 (or @t11 @t50 @t523))) % 3.13/3.42 (assume @p239 (forall @t315 (or @t11 @t465 @t524))) % 3.13/3.42 (assume @p240 (forall @t315 (or @t11 @t465 @t166))) % 3.13/3.42 (assume @p241 (forall @t60 (or @t11 @t525 @t57))) % 3.13/3.42 (assume @p242 (forall @t60 (or @t11 @t525 @t55))) % 3.13/3.42 (assume @p243 (forall (@list @t1 @t37 @t3 @t26) (or @t11 @t171 @t526))) % 3.13/3.42 (assume @p244 (forall (@list @t1 @t26 @t3 @t37) (or @t11 @t169 @t526))) % 3.13/3.42 (assume @p245 (forall @t529 (or @t528 (not @t527)))) % 3.13/3.42 (assume @p246 (forall @t530 (or @t527 (not @t528)))) % 3.13/3.42 (assume @p247 (forall @t34 (or @t33 (tptp.c_HOL_Oord__class_Oless @t27 @t32 @t1) @t200))) % 3.13/3.42 (assume @p248 (forall @t467 (or @t11 @t312 @t310 (not @t531)))) % 3.13/3.42 (assume @p249 (forall @t24 (= (tptp.hAPP @t275 @t90) (tptp.hAPP @t96 @t276)))) % 3.13/3.42 (assume @p250 (forall @t24 (= (tptp.hAPP (tptp.hAPP @t105 @t100) @t17) (tptp.hAPP @t264 @t276)))) % 3.13/3.42 (assume @p251 (forall @t537 (or @t536 @t535 (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Divides_Odiv__class_Odiv @t534 @t152 tptp.tc_nat)))) @t532))) % 3.13/3.42 (assume @p252 (forall @t540 (or (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t539) @t249) @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.c_InductTermi_OIT @t249)) (not (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t303 @t249 @t20) @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))) % 3.13/3.42 (assume @p253 (forall @t549 (or @t548 @t546 (not (tptp.c_Type_Otyping @t36 @t114 @t543)) @t544 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t36 @t111 @t543 tptp.tc_Type_Otype) @t247 @t542)) @t541))) % 3.13/3.42 (assume @p254 (forall @t549 (or @t548 @t546 (not (tptp.c_Type_Otyping @t36 @t114 @t547)) @t544 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t36 @t111 @t547 tptp.tc_Type_Otype) @t247 @t542)) @t541))) % 3.13/3.42 (assume @p255 (forall @t387 (or @t33 (not (tptp.c_HOL_Oord__class_Oless @t88 @t27 @t1))))) % 3.13/3.42 (assume @p256 (forall @t551 (or (tptp.c_InductTermi_OIT @t550) @t541))) % 3.13/3.42 (assume @p257 (forall (@list @t17 @t552 @t303 @t538) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t553 @t552 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t539 @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 3.13/3.42 (assume @p258 (forall @t182 (= (tptp.c_Nat_Onat_Onat__case @t179 @t178 @t181 @t1) @t180))) % 3.13/3.42 (assume @p259 (forall (@list @t305 @t554) (or (not (= @t308 @t555)) (= @t305 @t554)))) % 3.13/3.42 (assume @p260 (forall @t61 (or @t256 (not (tptp.c_HOL_Oord__class_Oless @t255 @t27 @t1))))) % 3.13/3.42 (assume @p261 (forall @t126 (or @t558 @t557 @t113))) % 3.13/3.42 (assume @p262 (forall @t127 (or @t556 (not @t558) @t113))) % 3.13/3.42 (assume @p263 (forall @t132 (or @t559 @t557 @t128))) % 3.13/3.42 (assume @p264 (forall @t127 (or @t556 (not @t559) @t128))) % 3.13/3.42 (assume @p265 (forall @t302 (or @t560 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t276 @t1) (tptp.hAPP (tptp.hAPP @t39 @t300) @t299))))) % 3.13/3.42 (assume @p266 (forall @t435 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t561) @t17 tptp.tc_nat) @t339))) % 3.13/3.42 (assume @p267 (forall @t168 (or @t11 @t7 @t4 (not @t562)))) % 3.13/3.42 (assume @p268 (forall (@list @t1 @t563 @t6 @t3 @t2) (or @t324 @t323 (not (= (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP @t566 @t6)) @t326) (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP @t566 @t2)) @t325))) @t565 @t564))) % 3.13/3.42 (assume @p269 (forall @t87 (or @t324 @t323 (not (= (tptp.hAPP @t569 @t83) (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP @t44 @t78)) @t456))) @t568 @t567))) % 3.13/3.42 (assume @p270 (forall (@list @t26 @t35 @t37 @t78) (or (not (= (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP @t572 @t35)) (tptp.hAPP @t570 @t78)) (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP @t572 @t78)) @t571))) @t568 @t567))) % 3.13/3.42 (assume @p271 (forall (@list @t563 @t6 @t3 @t2) (or (not (= (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP @t573 @t6)) @t318) (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP @t573 @t2)) @t317))) @t565 @t564))) % 3.13/3.42 (assume @p272 (forall @t329 (= (tptp.c_Nat_Osize__class_Osize @t17 tptp.tc_nat) @t17))) % 3.13/3.42 (assume @p273 (forall @t24 (= (tptp.c_HOL_Ominus__class_Ominus @t100 @t90 tptp.tc_nat) @t21))) % 3.13/3.42 (assume @p274 (forall @t177 (or @t11 @t442 @t444))) % 3.13/3.42 (assume @p275 (forall @t61 (or @t11 @t403 @t164))) % 3.13/3.42 (assume @p276 (forall @t176 (or @t11 @t163 @t402))) % 3.13/3.42 (assume @p277 (forall @t61 (or @t11 @t49 @t407))) % 3.13/3.42 (assume @p278 (forall @t176 (or @t11 @t406 @t48))) % 3.13/3.42 (assume @p279 (forall @t176 (or @t404 @t164 @t403))) % 3.13/3.42 (assume @p280 (forall @t453 (or @t138 (tptp.c_HOL_Oord__class_Oless @t20 @t135 tptp.tc_nat) @t64))) % 3.13/3.42 (assume @p281 (forall (@list @t3 @t249) (or @t575 (= (tptp.c_Lambda_Osubst @t574 @t249 @t3) @t249)))) % 3.13/3.42 (assume @p282 (forall (@list @t1 @t576 @t17 @t111) (or @t560 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t576 @t90 @t111 @t1) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t576 @t17 (tptp.hAPP @t576 @t111) @t1))))) % 3.13/3.42 (assume @p283 (forall @t147 (or @t74 (= @t394 @t577)))) % 3.13/3.42 (assume @p284 (forall @t147 (or @t74 (= @t394 @t578)))) % 3.13/3.42 (assume @p285 (forall @t12 (or @t11 (= (tptp.c_Orderings_Oord__class_Omin @t15 @t2 @t1) @t579)))) % 3.13/3.42 (assume @p286 (forall @t12 (or @t11 (= @t579 (tptp.c_Orderings_Oord__class_Omin @t6 @t194 @t1))))) % 3.13/3.42 (assume @p287 (= @t273 @t581)) % 3.13/3.42 (assume @p288 (forall @t144 (or @t209 @t208 @t292 @t582 @t29))) % 3.13/3.42 (assume @p289 (forall @t583 (or @t33 (tptp.c_lessequals @t32 @t202 @t1) @t89 @t236))) % 3.13/3.42 (assume @p290 (forall @t451 (or (tptp.c_lessequals @t450 @t449 tptp.tc_nat) @t25))) % 3.13/3.42 (assume @p291 (forall (@list @t18 @t266 @t17) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t18 @t266 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t17 @t266 tptp.tc_nat) tptp.tc_nat) @t25))) % 3.13/3.42 (assume @p292 (forall @t343 (or @t588 @t25 @t585 @t584))) % 3.13/3.42 (assume @p293 (forall @t296 (or @t19 (not @t588) @t585 @t584))) % 3.13/3.42 (assume @p294 (forall @t220 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t265 tptp.tc_nat) @t20))) % 3.13/3.42 (assume @p295 (forall @t159 (= @t590 (tptp.c_HOL_Ominus__class_Ominus @t111 @t589 tptp.tc_nat)))) % 3.13/3.42 (assume @p296 (forall @t591 (or @t33 (tptp.c_lessequals @t32 @t520 @t1) @t29 @t365))) % 3.13/3.42 (assume @p297 (forall (@list @t1 @t592 @t6 @t3) (or @t413 (not (= (tptp.c_HOL_Ominus__class_Ominus @t592 @t6 @t1) @t593)) (= @t592 @t6)))) % 3.13/3.42 (assume @p298 (forall (@list @t1 @t3 @t595 @t594) (or @t413 (not (= @t593 @t596)) (= @t595 @t594)))) % 3.13/3.42 (assume @p299 (forall @t343 (or (not (= @t587 @t586)) @t585 @t584 @t283))) % 3.13/3.42 (assume @p300 (forall @t61 (or @t11 (= (tptp.c_Orderings_Oord__class_Omin @t3 @t9 @t1) @t3)))) % 3.13/3.42 (assume @p301 (forall @t348 (or @t597 @t294 @t283))) % 3.13/3.42 (assume @p302 (forall @t24 (or @t513 @t278 @t328))) % 3.13/3.42 (assume @p303 (forall @t24 (or @t513 @t514 @t274))) % 3.13/3.42 (assume @p304 (forall @t348 (or @t293 @t599))) % 3.13/3.42 (assume @p305 (forall @t348 (or @t293 @t601))) % 3.13/3.42 (assume @p306 (forall @t484 (or @t560 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t100 @t1) (tptp.hAPP @t481 @t300))))) % 3.13/3.42 (assume @p307 (forall @t24 (= @t101 @t99))) % 3.13/3.42 (assume @p308 (forall @t296 (or @t19 @t294 (not @t342)))) % 3.13/3.42 (assume @p309 (forall @t296 (or @t19 @t294 @t602))) % 3.13/3.42 (assume @p310 (forall @t296 (or @t19 @t602 @t294))) % 3.13/3.42 (assume @p311 (forall @t348 (or @t347 @t25 @t294))) % 3.13/3.42 (assume @p312 (forall @t144 (or @t256 @t210 @t606 @t604))) % 3.13/3.42 (assume @p313 (forall @t607 (or @t256 @t605 @t211 @t604))) % 3.13/3.42 (assume @p314 (forall @t147 (or @t256 @t364 @t606 @t609))) % 3.13/3.42 (assume @p315 (forall @t607 (or @t256 @t605 @t365 @t609))) % 3.13/3.42 (assume @p316 (forall @t147 (or @t86 @t364 @t609 @t606))) % 3.13/3.42 (assume @p317 (forall @t147 (or @t86 @t364 @t609 (not @t610)))) % 3.13/3.42 (assume @p318 (forall @t24 (or (tptp.c_HOL_Oord__class_Oless @t273 @t276 tptp.tc_nat) @t612 @t611))) % 3.13/3.42 (assume @p319 (forall @t343 (= (tptp.c_HOL_Ominus__class_Ominus @t432 @t295 tptp.tc_nat) @t21))) % 3.13/3.42 (assume @p320 (forall @t348 (= (tptp.c_HOL_Ominus__class_Ominus @t280 @t269 tptp.tc_nat) @t21))) % 3.13/3.42 (assume @p321 (forall @t329 (tptp.c_HOL_Oord__class_Oless @t20 @t90 tptp.tc_nat))) % 3.13/3.42 (assume @p322 (forall @t381 (tptp.c_HOL_Oord__class_Oless @t20 @t378 tptp.tc_nat))) % 3.13/3.42 (assume @p323 (forall @t613 (= (tptp.c_Nat_Osize__class_Osize @t398 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP (tptp.hAPP @t95 (tptp.c_Nat_Osize__class_Osize @t396 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t395 tptp.tc_Lambda_OdB))) @t273)))) % 3.13/3.42 (assume @p324 (forall @t60 (or @t11 @t614 (not (tptp.c_HOL_Oord__class_Oless @t3 @t26 @t1))))) % 3.13/3.42 (assume @p325 (forall @t60 (or @t11 @t614 (not (tptp.c_HOL_Oord__class_Oless @t3 @t37 @t1))))) % 3.13/3.42 (assume @p326 (forall @t315 (or @t11 @t531 @t311))) % 3.13/3.42 (assume @p327 (forall @t315 (or @t11 @t531 @t313))) % 3.13/3.42 (assume @p328 (forall @t405 (or @t11 @t4 @t615))) % 3.13/3.42 (assume @p329 (forall @t168 (or @t11 @t7 @t615))) % 3.13/3.42 (assume @p330 (forall @t61 (or @t11 (= @t15 @t193)))) % 3.13/3.42 (assume @p331 (forall @t34 (or @t33 (tptp.c_HOL_Oord__class_Oless @t88 @t32 @t1) @t103 @t616))) % 3.13/3.42 (assume @p332 (forall (@list @t111 @t114 @t112 @t152) (= (tptp.hAPP @t119 (tptp.hAPP @t116 @t152)) (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP (tptp.hAPP @t105 @t228) @t114)) @t152)))) % 3.13/3.42 (assume @p333 (forall (@list @t1 @t26 @t36 @t37 @t35) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.hAPP @t45 (tptp.hAPP @t43 @t35)) (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP @t617 @t36)) @t35))))) % 3.13/3.42 (assume @p334 (forall @t24 (tptp.c_lessequals @t21 @t18 tptp.tc_nat))) % 3.13/3.42 (assume @p335 (forall @t540 (or (not (= @t539 @t618)) (= @t539 @t249)))) % 3.13/3.42 (assume @p336 (forall @t220 (or @t102 @t619))) % 3.13/3.42 (assume @p337 (forall @t24 (or @t426 @t619))) % 3.13/3.42 (assume @p338 (forall @t263 (or @t386 @t620 @t517 @t509))) % 3.13/3.42 (assume @p339 (forall @t591 (or @t33 @t521 @t103 @t29 @t77))) % 3.13/3.42 (assume @p340 (forall @t61 (or @t256 @t490 @t621))) % 3.13/3.42 (assume @p341 (forall @t176 (or @t256 @t486 @t621))) % 3.13/3.42 (assume @p342 (forall (@list @t62 @t179 @t178 @t592) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Nat_Onat_Onat__case @t179 @t178 (tptp.c_Suc @t592) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t62 (tptp.hAPP @t178 @t592)))))) % 3.13/3.42 (assume @p343 (forall (@list @t62 @t179 @t178 @t66) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Nat_Onat_Onat__case @t179 @t178 @t181 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t62 @t180))))) % 3.13/3.42 (assume @p344 (forall @t348 (= (tptp.hAPP @t344 @t21) (tptp.c_HOL_Ominus__class_Ominus @t346 @t345 tptp.tc_nat)))) % 3.13/3.42 (assume @p345 (forall @t296 (= (tptp.hAPP (tptp.hAPP @t105 @t21) @t152) (tptp.c_HOL_Ominus__class_Ominus @t341 @t340 tptp.tc_nat)))) % 3.13/3.42 (assume @p346 (forall @t175 (or @t11 @t622 (not (tptp.c_HOL_Oord__class_Oless @t26 @t3 @t1))))) % 3.13/3.42 (assume @p347 (forall @t175 (or @t11 @t622 (not (tptp.c_HOL_Oord__class_Oless @t37 @t3 @t1))))) % 3.13/3.42 (assume @p348 (forall @t315 (or @t11 @t310 @t623))) % 3.13/3.42 (assume @p349 (forall @t467 (or @t11 @t312 @t623))) % 3.13/3.42 (assume @p350 (forall @t12 (or @t11 @t562 @t5))) % 3.13/3.42 (assume @p351 (forall @t12 (or @t11 @t562 @t8))) % 3.13/3.42 (assume @p352 (forall @t343 (or (= (tptp.c_HOL_Ominus__class_Ominus @t587 @t586 tptp.tc_nat) @t21) @t585 @t584))) % 3.13/3.42 (assume @p353 (forall @t159 (= @t590 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t111 @t152 tptp.tc_nat) @t112 tptp.tc_nat)))) % 3.13/3.42 (assume @p354 (forall @t263 (or @t386 @t624 @t81 @t29))) % 3.13/3.42 (assume @p355 (forall @t263 (or @t386 @t624 @t401 @t200))) % 3.13/3.42 (assume @p356 (forall @t390 (or @t208 (= (tptp.hAPP @t370 @t276) (tptp.hAPP (tptp.hAPP @t369 @t389) @t17))))) % 3.13/3.42 (assume @p357 (forall (@list @t26 @t35 @t37) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t26 @t35 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t37 @t35 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t35 @t26 tptp.tc_nat)) @t625))) % 3.13/3.42 (assume @p358 (forall @t263 (or @t256 @t628 @t627 @t29))) % 3.13/3.42 (assume @p359 (forall @t263 (or @t256 @t628 @t401 @t630))) % 3.13/3.42 (assume @p360 (forall @t263 (or @t631 @t628 @t627 @t29))) % 3.13/3.42 (assume @p361 (forall @t263 (or @t631 @t628 @t401 @t630))) % 3.13/3.42 (assume @p362 (forall @t515 (or @t631 (tptp.c_lessequals @t388 @t27 @t1) @t627 @t29))) % 3.13/3.42 (assume @p363 (forall @t289 (or @t256 (not (tptp.c_HOL_Oord__class_Oless @t632 @t27 @t1))))) % 3.13/3.42 (assume @p364 (forall @t399 (= (tptp.c_Lambda_OdB_OdB__rec @t179 @t178 @t306 @t398 @t1) (tptp.hAPP (tptp.hAPP @t397 (tptp.c_Lambda_OdB_OdB__rec @t179 @t178 @t306 @t396 @t1)) (tptp.c_Lambda_OdB_OdB__rec @t179 @t178 @t306 @t395 @t1))))) % 3.13/3.42 (assume @p365 (forall @t348 (or @t637 @t215))) % 3.13/3.42 (assume @p366 (forall @t296 (or @t214 (not @t637)))) % 3.13/3.42 (assume @p367 (forall @t24 (or @t638 (= @t100 @t17) @t215))) % 3.13/3.42 (assume @p368 (forall @t24 (or @t25 @t221))) % 3.13/3.42 (assume @p369 (forall @t220 (or @t219 @t19))) % 3.13/3.42 (assume @p370 (forall @t227 (or (not (= (tptp.hAPP @t414 @t6) @t415)) @t565))) % 3.13/3.42 (assume @p371 (forall @t343 (or (not (= @t432 @t295)) @t283))) % 3.13/3.42 (assume @p372 (forall @t263 (or @t386 @t620 @t517 @t630))) % 3.13/3.42 (assume @p373 (forall @t263 (or @t386 @t620 @t627 @t509))) % 3.13/3.42 (assume @p374 (forall @t263 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t69 @t37 @t1) @t26) @t477))) % 3.13/3.42 (assume @p375 (forall @t515 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t388 @t37 @t1) @t26) @t477))) % 3.13/3.42 (assume @p376 (forall @t24 (or @t283 @t214 @t377))) % 3.13/3.42 (assume @p377 (forall @t24 (or @t283 @t640 @t218))) % 3.13/3.42 (assume @p378 (forall @t220 (or @t641 @t640 @t218))) % 3.13/3.42 (assume @p379 (forall @t387 (or @t256 (tptp.c_lessequals @t644 @t27 @t1)))) % 3.13/3.42 (assume @p380 (forall @t507 (or @t74 @t506 @t505 (= @t70 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP @t39 @t504) @t503) @t35 @t1))))) % 3.13/3.42 (assume @p381 (forall @t159 (or (= @t646 @t645) @t153))) % 3.13/3.42 (assume @p382 (forall @t529 (or (= @t649 @t647) @t153))) % 3.13/3.42 (assume @p383 (= (tptp.hAPP (tptp.hAPP @t105 @t273) @t273) @t273)) % 3.13/3.42 (assume @p384 (forall @t661 (or @t259 (= @t660 (tptp.hAPP @t656 (tptp.hAPP @t652 @t650)))))) % 3.13/3.42 (assume @p385 (forall @t661 (or @t259 (= @t660 (tptp.hAPP @t655 (tptp.hAPP @t652 @t658)))))) % 3.13/3.42 (assume @p386 (forall @t661 (or @t259 (= @t660 (tptp.hAPP @t657 (tptp.hAPP @t659 @t650)))))) % 3.13/3.42 (assume @p387 (forall @t387 (or @t33 (tptp.c_lessequals @t27 @t88 @t1)))) % 3.13/3.42 (assume @p388 (forall @t220 (= @t663 @t662))) % 3.13/3.42 (assume @p389 (forall @t24 (= @t204 @t662))) % 3.13/3.42 (assume @p390 (forall (@list @t1 @t26 @t18) (or @t259 (= (tptp.hAPP @t667 @t18) @t665)))) % 3.13/3.42 (assume @p391 (forall (@list @t1 @t18 @t26) (or @t259 (= (tptp.hAPP @t483 @t666) @t665)))) % 3.13/3.42 (assume @p392 (forall @t159 (or (= (tptp.c_HOL_Ominus__class_Ominus @t111 @t154 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t156 @t112 tptp.tc_nat)) @t153))) % 3.13/3.42 (assume @p393 (forall @t668 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t273 tptp.tc_nat) @t20))) % 3.13/3.42 (assume @p394 (forall @t94 (or @t208 (= (tptp.hAPP (tptp.hAPP @t369 @t27) @t17) @t27)))) % 3.13/3.42 (assume @p395 (forall (@list @t112 @t17 @t152) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t112 @t17 tptp.tc_nat) @t152 tptp.tc_nat) @t536))) % 3.13/3.42 (assume @p396 (forall (@list @t18 @t249 @t538) (or (not (= @t669 @t618)) (= @t669 @t249)))) % 3.13/3.42 (assume @p397 (forall (@list @t303 @t538 @t249) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t303 @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t618) @t304))) % 3.13/3.42 (assume @p398 (forall @t68 (or @t67 (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Suc @t670)))) @t64))) % 3.13/3.42 (assume @p399 (forall @t671 (= (tptp.c_Nat_Osize__class_Osize @t181 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t95 (tptp.c_Nat_Osize__class_Osize @t66 tptp.tc_nat)) @t273)))) % 3.13/3.42 (assume @p400 (forall @t289 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t26 @t88 @t1) @t27)))) % 3.13/3.42 (assume @p401 (forall @t24 (or (= @t205 @t18) @t215))) % 3.13/3.42 (assume @p402 (= @t273 @t298)) % 3.13/3.42 (assume @p403 (forall @t61 (or @t404 @t402 @t163 @t49))) % 3.13/3.42 (assume @p404 (forall @t381 (not @t575))) % 3.13/3.42 (assume @p405 (forall @t329 (not (tptp.c_HOL_Oord__class_Oless @t17 @t17 tptp.tc_nat)))) % 3.13/3.42 (assume @p406 (forall @t177 (or @t408 @t443))) % 3.13/3.42 (assume @p407 (forall @t177 (or @t11 @t443))) % 3.13/3.42 (assume @p408 (forall @t177 (or @t404 @t443))) % 3.13/3.42 (assume @p409 (forall @t673 (or (not (tptp.c_lessequals @t111 @t672 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t672 @t111 tptp.tc_nat) @t152)))) % 3.13/3.42 (assume @p410 (forall @t177 (or @t11 (= (tptp.c_Orderings_Oord__class_Omin @t3 @t3 @t1) @t3)))) % 3.13/3.42 (assume @p411 (forall @t675 (or (= @t674 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t148 @t17))) @t229))) % 3.13/3.42 (assume @p412 (forall @t678 (tptp.c_Lambda_Obeta @t677 (tptp.c_Lambda_Osubst @t249 @t247 @t20)))) % 3.13/3.42 (assume @p413 (forall @t263 (or @t386 @t624 @t81 @t200))) % 3.13/3.42 (assume @p414 (forall @t220 (tptp.c_lessequals @t17 @t265 tptp.tc_nat))) % 3.13/3.42 (assume @p415 (forall @t220 (tptp.c_lessequals @t17 @t97 tptp.tc_nat))) % 3.13/3.42 (assume @p416 (forall @t151 (tptp.c_lessequals @t18 @t150 tptp.tc_nat))) % 3.13/3.42 (assume @p417 (forall @t220 (= (tptp.hAPP (tptp.hAPP @t95 @t679) @t18) (tptp.c_Orderings_Oord__class_Omax @t17 @t18 tptp.tc_nat)))) % 3.13/3.42 (assume @p418 (forall @t387 (or @t33 (not (tptp.c_lessequals @t88 @t27 @t1))))) % 3.13/3.42 (assume @p419 (forall @t34 (or @t33 (tptp.c_HOL_Oord__class_Oless @t88 @t356 @t1) @t616))) % 3.13/3.42 (assume @p420 (forall @t176 (or @t512 @t406 @t402 @t491))) % 3.13/3.42 (assume @p421 (forall @t61 (or @t11 @t491 @t406 @t402))) % 3.13/3.42 (assume @p422 (forall @t24 (or @t283 @t245 @t25))) % 3.13/3.42 (assume @p423 (forall @t220 (or @t218 @t214 @t283))) % 3.13/3.42 (assume @p424 (forall (@list @t62 @t17 @t18) (or (tptp.hBOOL (tptp.hAPP @t137 @t18)) @t218 @t283 @t214))) % 3.13/3.42 (assume @p425 (forall (@list @t6 @t3) (or (tptp.c_HOL_Oord__class_Oless @t6 @t3 tptp.tc_nat) @t222 @t491))) % 3.13/3.42 (assume @p426 (forall @t61 (or @t408 @t491 @t164 @t49))) % 3.13/3.42 (assume @p427 (forall @t176 (or @t11 @t406 @t402 @t491))) % 3.13/3.42 (assume @p428 (forall @t61 (or @t408 @t491 @t49 @t164))) % 3.13/3.42 (assume @p429 (forall @t176 (or @t11 @t406 @t491 @t402))) % 3.13/3.42 (assume @p430 (forall @t61 (or @t11 @t491 @t402 @t406))) % 3.13/3.42 (assume @p431 (forall @t507 (or @t440 @t506 @t505 (= @t439 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t504 @t503 @t1) @t35 @t1))))) % 3.13/3.42 (assume @p432 (forall @t263 (or @t16 @t364 (not @t680)))) % 3.13/3.42 (assume @p433 (forall @t263 (or @t16 @t680 @t365))) % 3.13/3.42 (assume @p434 (forall @t177 (or @t11 (= (tptp.c_Orderings_Oord__class_Omax @t3 @t3 @t1) @t3)))) % 3.13/3.42 (assume @p435 (forall @t685 (or @t684 (= @t395 @t681)))) % 3.13/3.42 (assume @p436 (forall @t685 (or @t684 (= @t396 @t682)))) % 3.13/3.42 (assume @p437 (forall @t87 (or @t687 @t686 @t79 @t77))) % 3.13/3.42 (assume @p438 (forall @t363 (or (tptp.c_HOL_Oord__class_Oless @t156 @t362 tptp.tc_nat) @t267 @t230))) % 3.13/3.42 (assume @p439 (forall @t492 (or @t437 @t223))) % 3.13/3.42 (assume @p440 (forall @t24 (or @t19 @t215))) % 3.13/3.42 (assume @p441 (forall @t61 (or @t408 @t48 @t403))) % 3.13/3.42 (assume @p442 (forall @t61 (or @t404 @t48 @t403))) % 3.13/3.42 (assume @p443 (forall @t691 (or @t690 @t689))) % 3.13/3.42 (assume @p444 (forall @t691 (or @t690 @t692))) % 3.13/3.42 (assume @p445 (forall (@list @t249 @t538 @t303) (or (not (= @t618 @t539)) (= @t249 @t539)))) % 3.13/3.42 (assume @p446 (forall (@list @t696 @t249 @t247 @t693 @t694) (or (tptp.c_Type_Otyping @t696 @t251 @t693) (not (tptp.c_Type_Otyping @t696 @t247 @t694)) (not (tptp.c_Type_Otyping @t696 @t249 @t695))))) % 3.13/3.42 (assume @p447 (forall @t34 (or @t33 (tptp.c_HOL_Oord__class_Oless @t88 @t355 @t1) @t616))) % 3.13/3.42 (assume @p448 (forall (@list @t18 @t112 @t152) (or (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t282 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t432 @t281 tptp.tc_nat)) @t153))) % 3.13/3.42 (assume @p449 (forall @t263 (or @t16 @t76 (not @t697)))) % 3.13/3.42 (assume @p450 (forall @t263 (or @t16 @t697 @t77))) % 3.13/3.42 (assume @p451 (forall @t302 (or @t33 @t698 @t215))) % 3.13/3.42 (assume @p452 (forall @t302 (or @t33 @t214 (not @t698)))) % 3.13/3.42 (assume @p453 (forall @t329 (tptp.c_HOL_Oord__class_Oless @t17 @t90 tptp.tc_nat))) % 3.13/3.42 (assume @p454 (forall @t381 @t379)) % 3.13/3.42 (assume @p455 (forall @t158 (or (tptp.c_HOL_Oord__class_Oless @t699 @t152 tptp.tc_nat) @t536 @t230))) % 3.13/3.42 (assume @p456 (forall @t75 (or @t209 @t700 @t365))) % 3.13/3.42 (assume @p457 (forall @t147 (or @t209 @t364 (not @t700)))) % 3.13/3.42 (assume @p458 (forall @t607 (or @t209 @t702 @t365))) % 3.13/3.42 (assume @p459 (forall @t147 (or @t209 @t364 (not @t702)))) % 3.13/3.42 (assume @p460 (forall @t75 (or @t368 @t700 @t365))) % 3.13/3.42 (assume @p461 (forall @t607 (or @t368 @t702 @t365))) % 3.13/3.42 (assume @p462 (forall @t158 (or (tptp.c_lessequals @t156 @t589 tptp.tc_nat) @t128))) % 3.13/3.42 (assume @p463 (forall @t296 (or @t19 (not @t703)))) % 3.13/3.42 (assume @p464 (forall @t348 (or @t703 @t25))) % 3.13/3.42 (assume @p465 (forall @t387 (or @t33 (tptp.c_HOL_Oord__class_Oless @t27 @t88 @t1)))) % 3.13/3.42 (assume @p466 (forall @t704 (or @t128 (= @t112 (tptp.hAPP (tptp.hAPP @t95 @t129) @t111))))) % 3.13/3.42 (assume @p467 (forall @t220 (or @t705 @t245))) % 3.13/3.42 (assume @p468 (forall @t24 (or (= (tptp.hAPP (tptp.hAPP @t95 @t21) @t17) @t18) @t245))) % 3.13/3.42 (assume @p469 (forall @t708 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP @t572 @t37) @t35 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP @t572 @t707)) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP @t572 @t706) @t35 tptp.tc_nat))))) % 3.13/3.42 (assume @p470 (forall (@list @t186 @t3 @t185 @t104 @t187 @t184 @t183 @t1) (or (= @t711 @t709) @t188))) % 3.13/3.42 (assume @p471 (forall @t348 (or (not (= @t280 @t269)) @t283))) % 3.13/3.42 (assume @p472 (forall @t12 (or @t324 @t323 (not (= @t272 @t412)) @t565))) % 3.13/3.42 (assume @p473 (forall @t147 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t713 @t712))) % 3.13/3.42 (assume @p474 (forall @t147 (or @t714 @t713 @t712))) % 3.13/3.42 (assume @p475 (forall @t144 (or @t714 (not (= @t261 @t258)) @t712))) % 3.13/3.42 (assume @p476 (forall @t24 (tptp.c_lessequals @t205 @t18 tptp.tc_nat))) % 3.13/3.42 (assume @p477 (forall @t12 (or @t209 (= (tptp.hAPP (tptp.hAPP @t40 @t15) @t2) (tptp.c_Orderings_Oord__class_Omin @t412 @t410 @t1))))) % 3.13/3.42 (assume @p478 (forall @t296 (or (tptp.c_lessequals @t18 (tptp.c_HOL_Ominus__class_Ominus @t265 @t152 tptp.tc_nat) tptp.tc_nat) @t585))) % 3.13/3.42 (assume @p479 (forall @t176 (or @t512 (tptp.c_lessequals @t382 @t3 @t1) @t715 @t488 @t487))) % 3.13/3.42 (assume @p480 (forall @t61 (or @t512 (tptp.c_lessequals @t325 @t3 @t1) @t715 @t488 @t487))) % 3.13/3.42 (assume @p481 (forall @t147 (or @t440 (= @t439 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t71 @t392 @t1) @t35 @t1))))) % 3.13/3.42 (assume @p482 (forall (@list @t185 @t186 @t3 @t6 @t104 @t187 @t184 @t183 @t1) (or (= (tptp.hAPP (tptp.hAPP @t185 @t717) @t104) (tptp.hAPP @t716 (tptp.hAPP (tptp.hAPP @t185 @t6) @t104))) @t188))) % 3.13/3.42 (assume @p483 (forall (@list @t186 @t3 @t187 @t6 @t2 @t185 @t184 @t183 @t1) (or (= (tptp.hAPP @t710 @t719) (tptp.hAPP (tptp.hAPP @t187 @t717) (tptp.hAPP @t710 @t2))) @t188))) % 3.13/3.42 (assume @p484 (forall (@list @t186 @t3 @t6 @t187 @t185 @t184 @t183 @t1) (or (= @t717 (tptp.hAPP @t720 @t3)) @t188))) % 3.13/3.42 (assume @p485 (forall (@list @t186 @t3 @t6 @t2 @t187 @t185 @t184 @t183 @t1) (or (= (tptp.hAPP @t710 (tptp.hAPP @t720 @t2)) (tptp.hAPP (tptp.hAPP @t186 @t717) @t2)) @t188))) % 3.13/3.42 (assume @p486 (forall (@list @t186 @t183 @t3 @t187 @t185 @t184 @t1) (or (= (tptp.hAPP @t721 @t3) @t3) @t188))) % 3.13/3.42 (assume @p487 (forall (@list @t186 @t184 @t3 @t187 @t185 @t183 @t1) (or (= (tptp.hAPP @t722 @t3) @t184) @t188))) % 3.13/3.42 (assume @p488 (forall (@list @t187 @t3 @t6 @t186 @t185 @t184 @t183 @t1) (or (= @t724 (tptp.hAPP @t718 @t3)) @t188))) % 3.13/3.42 (assume @p489 (forall (@list @t187 @t3 @t6 @t2 @t186 @t185 @t184 @t183 @t1) (or (= (tptp.hAPP @t723 @t719) (tptp.hAPP (tptp.hAPP @t187 @t724) @t2)) @t188))) % 3.13/3.42 (assume @p490 (forall (@list @t187 @t184 @t3 @t186 @t185 @t183 @t1) (or (= (tptp.hAPP @t725 @t3) @t3) @t188))) % 3.13/3.42 (assume @p491 (forall @t732 (or (= @t731 (tptp.hAPP @t728 @t78)) @t188))) % 3.13/3.42 (assume @p492 (forall (@list @t187 @t26 @t35 @t186 @t185 @t184 @t183 @t1) (or (= @t727 (tptp.hAPP @t729 @t26)) @t188))) % 3.13/3.42 (assume @p493 (forall @t736 (or (= @t735 (tptp.hAPP @t728 @t37)) @t188))) % 3.13/3.42 (assume @p494 (forall @t732 (or (= @t731 (tptp.hAPP @t729 (tptp.hAPP @t726 @t78))) @t188))) % 3.13/3.42 (assume @p495 (forall @t736 (or (= @t735 (tptp.hAPP @t726 (tptp.hAPP @t737 @t35))) @t188))) % 3.13/3.42 (assume @p496 (forall (@list @t187 @t26 @t37 @t35 @t78 @t186 @t185 @t184 @t183 @t1) (or (= (tptp.hAPP @t734 @t730) (tptp.hAPP @t728 (tptp.hAPP @t737 @t78))) @t188))) % 3.13/3.42 (assume @p497 (forall @t742 (or (= @t741 (tptp.hAPP @t739 (tptp.hAPP @t738 @t650))) @t188))) % 3.13/3.42 (assume @p498 (forall @t742 (or (= @t741 (tptp.hAPP @t743 @t650)) @t188))) % 3.13/3.42 (assume @p499 (forall @t747 (or (= @t746 (tptp.hAPP @t738 (tptp.hAPP @t744 @t653))) @t188))) % 3.13/3.42 (assume @p500 (forall @t747 (or (= @t746 (tptp.hAPP @t743 @t651)) @t188))) % 3.13/3.42 (assume @p501 (forall @t749 (or (= @t748 (tptp.hAPP @t739 (tptp.hAPP @t745 @t650))) @t188))) % 3.13/3.42 (assume @p502 (forall @t749 (or (= @t748 (tptp.hAPP @t738 (tptp.hAPP @t744 @t740))) @t188))) % 3.13/3.42 (assume @p503 (forall @t749 (or (= @t748 (tptp.hAPP @t743 (tptp.hAPP @t744 @t650))) @t188))) % 3.13/3.42 (assume @p504 (forall (@list @t186 @t26 @t183 @t187 @t185 @t184 @t1) (or (= (tptp.hAPP @t750 @t183) @t26) @t188))) % 3.13/3.42 (assume @p505 (forall (@list @t186 @t183 @t26 @t187 @t185 @t184 @t1) (or (= (tptp.hAPP @t721 @t26) @t26) @t188))) % 3.13/3.42 (assume @p506 (forall (@list @t186 @t26 @t184 @t187 @t185 @t183 @t1) (or (= (tptp.hAPP @t750 @t184) @t184) @t188))) % 3.13/3.42 (assume @p507 (forall (@list @t186 @t184 @t26 @t187 @t185 @t183 @t1) (or (= (tptp.hAPP @t722 @t26) @t184) @t188))) % 3.13/3.42 (assume @p508 (forall (@list @t186 @t187 @t26 @t37 @t35 @t185 @t184 @t183 @t1) (or (= (tptp.hAPP @t752 @t35) (tptp.hAPP (tptp.hAPP @t187 (tptp.hAPP @t750 @t35)) (tptp.hAPP @t751 @t35))) @t188))) % 3.13/3.42 (assume @p509 (forall (@list @t186 @t26 @t37 @t187 @t185 @t184 @t183 @t1) (or (= (tptp.hAPP @t750 @t37) (tptp.hAPP @t751 @t26)) @t188))) % 3.13/3.42 (assume @p510 (forall (@list @t187 @t26 @t184 @t186 @t185 @t183 @t1) (or (= (tptp.hAPP @t726 @t184) @t26) @t188))) % 3.13/3.42 (assume @p511 (forall (@list @t187 @t184 @t26 @t186 @t185 @t183 @t1) (or (= (tptp.hAPP @t725 @t26) @t26) @t188))) % 3.13/3.42 (assume @p512 (forall (@list @t187 @t18 @t186 @t183 @t185 @t184 @t1) (or (= (tptp.hAPP @t753 @t18) (tptp.hAPP (tptp.hAPP @t186 (tptp.hAPP (tptp.hAPP @t187 @t183) @t183)) @t18)) @t188))) % 3.13/3.42 (assume @p513 (forall (@list @t187 @t18 @t186 @t26 @t183 @t185 @t184 @t1) (or (= (tptp.hAPP @t753 @t755) @t754) @t188))) % 3.13/3.42 (assume @p514 (forall (@list @t187 @t186 @t26 @t18 @t183 @t185 @t184 @t1) (or (= (tptp.hAPP @t756 @t18) @t754) @t188))) % 3.13/3.42 (assume @p515 (forall (@list @t187 @t186 @t26 @t18 @t37 @t185 @t184 @t183 @t1) (or (= (tptp.hAPP @t756 (tptp.hAPP @t751 @t18)) (tptp.hAPP @t752 @t18)) @t188))) % 3.13/3.42 (assume @p516 (forall @t24 (or (not @t338) (= @t339 @t20)))) % 3.13/3.42 (assume @p517 (forall (@list @t303 @t552 @t249) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t303 @t552 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t249 @t552 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t692))) % 3.13/3.42 (assume @p518 (forall @t147 (or @t74 (= @t70 @t73)))) % 3.13/3.42 (assume @p519 (forall @t147 (or @t74 (= @t70 (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP @t44 @t392) @t35 @t1))))) % 3.13/3.42 (assume @p520 (forall @t24 (or @t757 @t278 @t328))) % 3.13/3.42 (assume @p521 (forall @t24 (or @t757 @t514 @t274))) % 3.13/3.42 (assume @p522 (forall @t296 (= (tptp.c_HOL_Ominus__class_Ominus @t246 @t633 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t21 @t152 tptp.tc_nat)))) % 3.13/3.42 (assume @p523 (forall @t343 (or (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Odiv @t18 @t152 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t17 @t152 tptp.tc_nat) tptp.tc_nat) @t25))) % 3.13/3.42 (assume @p524 (forall @t24 (or @t455 @t215))) % 3.13/3.42 (assume @p525 (forall @t348 (or @t758 @t25))) % 3.13/3.42 (assume @p526 (forall @t296 (or @t19 (not @t758)))) % 3.13/3.42 (assume @p527 (forall @t61 (or @t256 @t759 @t490))) % 3.13/3.42 (assume @p528 (forall @t61 (or @t256 @t759 @t486))) % 3.13/3.42 (assume @p529 (forall (@list @t303) (or (tptp.c_InductTermi_OIT @t539) @t760))) % 3.13/3.42 (assume @p530 (forall (@list @t1 @t26 @t37 @t35 @t78) (or @t259 (= (tptp.hAPP @t418 @t422) (tptp.hAPP @t421 @t367))))) % 3.13/3.42 (assume @p531 (forall (@list @t114 @t249 @t247) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t762 @t249) (tptp.hAPP @t762 @t247)) @t761))) % 3.13/3.42 (assume @p532 (forall (@list @t249 @t114 @t247) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t250 @t114) @t764) @t761))) % 3.13/3.42 (assume @p533 (forall @t765 (= (tptp.c_Nat_Osize__class_Osize @t308 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t95 (tptp.c_Nat_Osize__class_Osize @t305 tptp.tc_Lambda_OdB)) @t273)))) % 3.13/3.42 (assume @p534 (forall @t484 (or @t33 (not (tptp.c_HOL_Oord__class_Oless @t300 @t27 @t1))))) % 3.13/3.42 (assume @p535 (forall @t61 (or @t11 (= @t9 @t766)))) % 3.13/3.42 (assume @p536 (tptp.c_InductTermi_OIT tptp.v_u____)) % 3.13/3.42 (assume @p537 (forall @t591 (or @t33 (not (= @t32 @t520)) @t567 @t103 @t401 @t29))) % 3.13/3.42 (assume @p538 (forall @t675 (or (= @t674 @t333) @t767))) % 3.13/3.42 (assume @p539 (forall @t329 (tptp.c_lessequals @t90 @t90 tptp.tc_nat))) % 3.13/3.42 (assume @p540 (forall (@list @t111 @t152 @t3 @t1) (= (tptp.c_List_Odrop @t111 (tptp.c_List_Oreplicate @t152 @t3 @t1) @t1) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t152 @t111 tptp.tc_nat) @t3 @t1)))) % 3.13/3.42 (assume @p541 (forall @t12 (or @t11 (tptp.c_lessequals @t195 @t196 @t1)))) % 3.13/3.42 (assume @p542 (forall (@list @t17 @t249 @t247 @t152) (= (tptp.c_Lambda_Oliftn @t17 @t251 @t152) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t17 @t249 @t152)) @t472)))) % 3.13/3.42 (assume @p543 (forall @t671 (= (tptp.c_nat_Onat__size @t181) (tptp.hAPP (tptp.hAPP @t95 (tptp.c_nat_Onat__size @t66)) @t273)))) % 3.13/3.42 (assume @p544 (forall @t61 (or @t11 (= (tptp.c_Orderings_Oord__class_Omax @t3 @t15 @t1) @t3)))) % 3.13/3.42 (assume @p545 (forall @t668 (tptp.c_lessequals @t18 @t768 tptp.tc_nat))) % 3.13/3.42 (assume @p546 (forall (@list @t247 @t152 @t249) (= (tptp.c_Lambda_Osubst @t248 @t249 @t152) @t247))) % 3.13/3.42 (assume @p547 (forall @t607 (or @t256 @t603 @t608 @t463))) % 3.13/3.42 (assume @p548 (forall @t144 (or @t256 @t769 @t76 @t463))) % 3.13/3.42 (assume @p549 (forall @t607 (or @t256 @t603 @t608 @t458))) % 3.13/3.42 (assume @p550 (forall @t144 (or @t256 @t769 @t76 @t458))) % 3.13/3.42 (assume @p551 (forall @t771 (or (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t770 tptp.tc_nat) @t111) (not (tptp.c_lessequals @t111 @t17 tptp.tc_nat))))) % 3.13/3.42 (assume @p552 (forall @t673 (or (= (tptp.c_Lambda_Olift @t333 @t152) @t333) @t767))) % 3.13/3.42 (assume @p553 (forall (@list @t303 @t111 @t249) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t303 @t111) (tptp.c_Lambda_Olift @t249 @t111)) @t304))) % 3.13/3.42 (assume @p554 (forall @t34 (or @t33 (tptp.c_HOL_Oord__class_Oless @t356 @t32 @t1) @t201 @t200))) % 3.13/3.42 (assume @p555 (forall @t24 (= (tptp.c_Orderings_Oord__class_Omin @t100 @t90 tptp.tc_nat) (tptp.c_Suc @t772)))) % 3.13/3.42 (assume @p556 (forall @t24 (or (= @t18 @t90) @t19 (not @t773)))) % 3.13/3.42 (assume @p557 (forall @t381 (or @t575 @t379))) % 3.13/3.42 (assume @p558 (forall @t24 (or @t215 @t640))) % 3.13/3.42 (assume @p559 (forall @t220 (or @t639 @t214))) % 3.13/3.42 (assume @p560 (forall @t387 (or @t259 (tptp.c_Groebner__Basis_Ogb__semiring @t40 @t39 @t30 @t27 @t88 @t1)))) % 3.13/3.42 (assume @p561 (forall @t348 (= (tptp.hAPP @t344 @t205) (tptp.c_Divides_Odiv__class_Omod @t346 @t345 tptp.tc_nat)))) % 3.13/3.42 (assume @p562 (forall @t296 (= (tptp.hAPP (tptp.hAPP @t105 @t205) @t152) (tptp.c_Divides_Odiv__class_Omod @t341 @t340 tptp.tc_nat)))) % 3.13/3.42 (assume @p563 (forall @t343 (or @t598 @t215 @t294))) % 3.13/3.42 (assume @p564 (forall @t348 (or @t600 @t215 @t294))) % 3.13/3.42 (assume @p565 (forall @t775 (or (tptp.c_HOL_Oord__class_Oless @t533 @t774 tptp.tc_nat) @t294 @t230))) % 3.13/3.42 (assume @p566 (forall @t158 (or (tptp.c_HOL_Oord__class_Oless @t777 @t776 tptp.tc_nat) @t294 @t230))) % 3.13/3.42 (assume @p567 (forall @t296 (or @t214 @t601 @t294))) % 3.13/3.42 (assume @p568 (forall @t144 (or @t256 @t769 @t463 @t604))) % 3.13/3.42 (assume @p569 (forall @t607 (or @t256 @t462 @t778 @t604))) % 3.13/3.42 (assume @p570 (forall (@list @t186 @t185 @t3 @t104 @t187 @t184 @t183 @t1) (or (= (tptp.hAPP @t716 @t3) @t709) @t188))) % 3.13/3.42 (assume @p571 (forall (@list @t185 @t3 @t104 @t186 @t187 @t184 @t183 @t1) (or (= @t709 @t711) @t188))) % 3.13/3.42 (assume @p572 (forall (@list @t185 @t3 @t17 @t186 @t187 @t184 @t183 @t1) (or (= (tptp.hAPP @t191 @t90) (tptp.hAPP @t710 (tptp.hAPP @t191 @t17))) @t188))) % 3.13/3.42 (assume @p573 (forall @t296 (or @t214 @t601))) % 3.13/3.42 (assume @p574 (forall @t296 (or @t214 @t599))) % 3.13/3.42 (assume @p575 (forall @t289 (or @t33 (tptp.c_HOL_Oord__class_Oless @t26 @t664 @t1)))) % 3.13/3.42 (assume @p576 (forall @t159 (or (= @t645 @t646) @t153))) % 3.13/3.42 (assume @p577 (forall @t530 (or (= @t647 @t649) @t153))) % 3.13/3.42 (assume @p578 (forall (@list @t17 @t18 @t779 @t1) (= (tptp.c_List_Odrop @t17 (tptp.c_List_Odrop @t18 @t779 @t1) @t1) (tptp.c_List_Odrop @t265 @t779 @t1)))) % 3.13/3.42 (assume @p579 (forall @t391 (or @t33 @t364 @t401 (not (tptp.c_lessequals @t355 @t780 @t1))))) % 3.13/3.42 (assume @p580 (forall @t61 (or @t781 (= (tptp.hAPP @t253 @t325) @t325)))) % 3.13/3.42 (assume @p581 (forall (@list @t3 @t17 @t592 @t6 @t782) (or (not (= (tptp.hAPP @t414 (tptp.hAPP @t106 @t592)) (tptp.hAPP @t224 (tptp.hAPP @t106 @t782)))) (= (tptp.c_Divides_Odiv__class_Omod @t3 @t17 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t6 @t17 tptp.tc_nat))))) % 3.13/3.42 (assume @p582 (forall @t94 (or @t33 @t783 @t103))) % 3.13/3.42 (assume @p583 (forall @t94 (or @t33 @t102 (not @t783)))) % 3.13/3.42 (assume @p584 (forall @t87 (or @t86 @t85 @t609 @t29 @t366 @t77))) % 3.13/3.42 (assume @p585 (forall @t87 (or @t86 @t85 @t82 @t200 @t79 @t365))) % 3.13/3.42 (assume @p586 (forall @t390 (or @t33 (not (= @t427 @t32)) @t616 @t283))) % 3.13/3.42 (assume @p587 (forall @t289 (or @t92 (= @t784 @t88)))) % 3.13/3.42 (assume @p588 (forall @t177 (or @t259 (= (tptp.hAPP @t349 @t20) @t88)))) % 3.13/3.42 (assume @p589 (forall @t348 (or @t785 @t294))) % 3.13/3.42 (assume @p590 (forall @t263 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t787 @t786 @t1) @t27)))) % 3.13/3.42 (assume @p591 (forall @t24 (= (tptp.c_Divides_Odiv__class_Odiv @t790 @t789 tptp.tc_nat) @t20))) % 3.13/3.42 (assume @p592 (forall @t309 (= (tptp.c_Lambda_OdB_OdB__rec @t179 @t178 @t306 @t308 @t1) (tptp.hAPP @t307 (tptp.c_Lambda_OdB_OdB__rec @t179 @t178 @t306 @t305 @t1))))) % 3.13/3.42 (assume @p593 (forall @t360 (or @t259 (= @t358 @t359)))) % 3.13/3.42 (assume @p594 (forall @t360 (or @t259 (= (tptp.hAPP @t791 @t3) @t359)))) % 3.13/3.42 (assume @p595 (forall @t263 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t262 @t37 @t1) @t141)))) % 3.13/3.42 (assume @p596 (forall @t515 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t261 @t37 @t1) @t141)))) % 3.13/3.42 (assume @p597 (forall @t515 (or @t256 @t400 @t626 @t792))) % 3.13/3.42 (assume @p598 (forall @t263 (or @t256 @t629 @t626 @t792))) % 3.13/3.42 (assume @p599 (forall @t515 (or @t256 @t400 @t28 @t792))) % 3.13/3.42 (assume @p600 (forall @t263 (or @t256 @t629 @t28 @t792))) % 3.13/3.42 (assume @p601 (forall @t515 (or @t86 (tptp.c_HOL_Oord__class_Oless @t388 @t27 @t1) @t517 @t200))) % 3.13/3.42 (assume @p602 (forall @t263 (or @t86 @t793 @t517 @t200))) % 3.13/3.42 (assume @p603 (forall @t263 (or @t86 @t793 @t81 @t509))) % 3.13/3.42 (assume @p604 (forall @t34 (or @t208 (= @t373 @t375)))) % 3.13/3.42 (assume @p605 (forall @t24 (or @t19 @t217))) % 3.13/3.42 (assume @p606 (forall @t24 (or @t773 @t25))) % 3.13/3.42 (assume @p607 (forall @t220 (or (tptp.c_HOL_Oord__class_Oless @t17 @t276 tptp.tc_nat) @t612 @t611))) % 3.13/3.42 (assume @p608 (forall @t220 (or (tptp.c_HOL_Oord__class_Oless @t17 @t279 tptp.tc_nat) @t612 @t611))) % 3.13/3.42 (assume @p609 (forall @t329 (not (tptp.c_lessequals @t90 @t17 tptp.tc_nat)))) % 3.13/3.42 (assume @p610 (forall @t296 (or @t214 (not @t794) @t585 @t584))) % 3.13/3.42 (assume @p611 (forall @t343 (or @t794 @t215 @t585 @t584))) % 3.13/3.42 (assume @p612 (forall @t144 (or @t33 @t292 @t582 @t200))) % 3.13/3.42 (assume @p613 (forall @t708 (= (tptp.c_Divides_Odiv__class_Omod @t26 @t571 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP @t570 (tptp.c_Divides_Odiv__class_Omod @t795 @t35 tptp.tc_nat))) (tptp.c_Divides_Odiv__class_Omod @t26 @t37 tptp.tc_nat))))) % 3.13/3.42 (assume @p614 (forall (@list @t112 @t114 @t111) (or (= (tptp.c_Lambda_Osubst @t797 @t114 @t111) @t797) @t796))) % 3.13/3.42 (assume @p615 (forall (@list @t62 @t179 @t178 @t306 @t305) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Lambda_OdB_OdB__case @t179 @t178 @t306 @t308 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t62 @t307))))) % 3.13/3.42 (assume @p616 (forall (@list @t62 @t179 @t178 @t306 @t592) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Lambda_OdB_OdB__case @t179 @t178 @t306 (tptp.c_Lambda_OdB_OAbs @t592) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t62 (tptp.hAPP @t306 @t592)))))) % 3.13/3.42 (assume @p617 (forall (@list @t303 @t111 @t112) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t303 @t333 @t112)) @t760))) % 3.13/3.42 (assume @p618 (forall @t289 (or @t332 @t798 @t630))) % 3.13/3.42 (assume @p619 (forall @t289 (or @t332 @t629 (not @t798)))) % 3.13/3.42 (assume @p620 (forall @t803 (or @t33 @t802 @t223 @t799))) % 3.13/3.42 (assume @p621 (forall @t804 (or @t33 @t222 (not @t802) @t799))) % 3.13/3.42 (assume @p622 (forall @t583 (or @t33 (tptp.c_HOL_Oord__class_Oless @t32 @t202 @t1) @t616 @t198))) % 3.13/3.42 (assume @p623 (forall @t805 (or @t33 @t214 (not (tptp.c_HOL_Oord__class_Oless @t427 @t32 @t1)) @t616))) % 3.13/3.42 (assume @p624 (forall @t704 (not (tptp.c_HOL_Oord__class_Oless @t228 @t111 tptp.tc_nat)))) % 3.13/3.42 (assume @p625 (forall (@list @t112 @t111) (not (tptp.c_HOL_Oord__class_Oless @t648 @t111 tptp.tc_nat)))) % 3.13/3.42 (assume @p626 (forall @t302 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t21 @t1) (tptp.c_HOL_Ominus__class_Ominus @t300 @t299 @t1)) @t245))) % 3.13/3.42 (assume @p627 (forall @t34 (or @t33 (tptp.c_HOL_Oord__class_Oless @t32 @t356 @t1) @t616))) % 3.13/3.42 (assume @p628 (forall @t708 (= (tptp.c_Divides_Odiv__class_Odiv @t26 @t571 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv @t795 @t35 tptp.tc_nat)))) % 3.13/3.42 (assume @p629 (forall (@list @t37 @t104 @t35 @t303) (or (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP @t570 (tptp.c_Divides_Odiv__class_Omod @t104 @t35 tptp.tc_nat))) @t303) @t571 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t303 @t37 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t20 @t35 tptp.tc_nat))))) % 3.13/3.42 (assume @p630 (forall @t75 (or @t239 @t610 @t806 @t211))) % 3.13/3.42 (assume @p631 (forall @t607 (or @t239 @t605 @t806 @t211))) % 3.13/3.42 (assume @p632 (forall @t75 (or @t807 @t610 @t82 @t365))) % 3.13/3.42 (assume @p633 (forall @t607 (or @t807 @t605 @t82 @t365))) % 3.13/3.42 (assume @p634 (forall @t607 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t605 @t82 @t365))) % 3.13/3.42 (assume @p635 (forall @t24 (or @t501 @t214))) % 3.13/3.42 (assume @p636 (forall @t813 (or @t812 (= @t809 @t808)))) % 3.13/3.42 (assume @p637 (forall @t813 (or @t812 (= @t811 @t810)))) % 3.13/3.42 (assume @p638 (forall (@list @t1 @t3 @t303 @t35 @t78) (or @t324 @t323 (not (= (tptp.hAPP @t271 (tptp.hAPP @t814 @t35)) (tptp.hAPP @t271 (tptp.hAPP @t814 @t78)))) @t568 (= @t303 @t27)))) % 3.13/3.42 (assume @p639 (forall (@list @t3 @t303 @t35 @t78) (or (not (= (tptp.hAPP @t414 (tptp.hAPP @t815 @t35)) (tptp.hAPP @t414 (tptp.hAPP @t815 @t78)))) @t568 (= @t303 @t20)))) % 3.13/3.42 (assume @p640 (forall @t61 (or @t256 @t816 @t486))) % 3.13/3.42 (assume @p641 (forall @t61 (or @t256 @t816 @t490))) % 3.13/3.42 (assume @p642 (forall @t24 (or @t485 @t245 @t103))) % 3.13/3.42 (assume @p643 (forall @t158 (or @t818 (not @t817)))) % 3.13/3.42 (assume @p644 (forall @t159 (or @t817 (not @t818)))) % 3.13/3.42 (assume @p645 (forall @t329 (not (= @t90 @t17)))) % 3.13/3.42 (assume @p646 (forall @t329 (not (= @t17 @t90)))) % 3.13/3.42 (assume @p647 (forall @t24 (= @t339 (tptp.c_Divides_Odiv__class_Omod @t337 @t17 tptp.tc_nat)))) % 3.13/3.42 (assume @p648 (forall @t75 (or @t687 @t819 @t77))) % 3.13/3.42 (assume @p649 (forall @t75 (or @t209 @t819 @t77))) % 3.13/3.42 (assume @p650 (forall @t147 (or @t209 @t76 (not @t819)))) % 3.13/3.42 (assume @p651 (forall @t607 (or @t687 @t820 @t77))) % 3.13/3.42 (assume @p652 (forall @t607 (or @t209 @t820 @t77))) % 3.13/3.42 (assume @p653 (forall @t147 (or @t209 @t76 (not @t820)))) % 3.13/3.42 (assume @p654 (forall @t158 (or (tptp.c_HOL_Oord__class_Oless @t156 @t589 tptp.tc_nat) @t230))) % 3.13/3.42 (assume @p655 (forall @t296 (or @t214 (not @t821)))) % 3.13/3.42 (assume @p656 (forall @t348 (or @t821 @t215))) % 3.13/3.42 (assume @p657 (forall @t824 (or @t63 (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Suc @t823))) @t822))) % 3.13/3.42 (assume @p658 (forall @t24 (or @t428 (not @t430) (not @t431)))) % 3.13/3.42 (assume @p659 (forall @t315 (or @t408 @t165 @t524 @t164))) % 3.13/3.42 (assume @p660 (forall @t315 (or @t408 @t310 @t524 @t407))) % 3.13/3.42 (assume @p661 (forall @t315 (or @t408 @t310 @t313 @t164))) % 3.13/3.42 (assume @p662 (forall @t263 (or @t386 (tptp.c_lessequals @t262 @t27 @t1) @t627 @t630))) % 3.13/3.42 (assume @p663 (forall @t405 (or @t404 @t50 @t161 @t49))) % 3.13/3.42 (assume @p664 (forall @t329 (tptp.c_lessequals @t17 @t17 tptp.tc_nat))) % 3.13/3.42 (assume @p665 (forall @t158 (or (tptp.c_lessequals @t111 @t152 tptp.tc_nat) (not (tptp.c_lessequals @t112 @t152 tptp.tc_nat)) @t128))) % 3.13/3.42 (assume @p666 (forall @t381 @t380)) % 3.13/3.42 (assume @p667 (forall @t177 (or @t408 @t444))) % 3.13/3.42 (assume @p668 (forall @t177 (or @t404 @t444))) % 3.13/3.42 (assume @p669 (forall @t405 (or @t404 @t4 @t8 @t49))) % 3.13/3.42 (assume @p670 (forall @t147 (or @t256 @t76 @t463 @t609))) % 3.13/3.42 (assume @p671 (forall @t607 (or @t256 @t462 @t77 @t609))) % 3.13/3.42 (assume @p672 (forall @t607 (or @t256 @t462 @t604 @t778))) % 3.13/3.42 (assume @p673 (forall @t607 (or @t86 @t462 @t609 @t77))) % 3.13/3.42 (assume @p674 (forall @t75 (or @t256 @t457 @t604 @t778))) % 3.13/3.42 (assume @p675 (forall @t75 (or @t86 @t457 @t609 @t77))) % 3.13/3.42 (assume @p676 (forall @t75 (or @t256 @t457 @t77 @t609))) % 3.13/3.42 (assume @p677 (forall @t75 (or @t256 @t457 @t778 @t604))) % 3.13/3.42 (assume @p678 (forall @t607 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t462 @t609 @t77))) % 3.13/3.42 (assume @p679 (forall @t708 (= (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t95 @t26) @t37) @t35 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP (tptp.hAPP @t95 (tptp.c_Divides_Odiv__class_Odiv @t26 @t35 tptp.tc_nat)) @t707)) (tptp.c_Divides_Odiv__class_Odiv (tptp.hAPP (tptp.hAPP @t95 (tptp.c_Divides_Odiv__class_Omod @t26 @t35 tptp.tc_nat)) @t706) @t35 tptp.tc_nat))))) % 3.13/3.42 (assume @p680 (forall @t12 (or @t209 (= (tptp.hAPP (tptp.hAPP @t40 @t9) @t2) (tptp.c_Orderings_Oord__class_Omax @t412 @t410 @t1))))) % 3.13/3.42 (assume @p681 (forall @t551 (or (tptp.c_InductTermi_OIT (tptp.hAPP @t763 @t333)) @t541))) % 3.13/3.42 (assume @p682 (forall @t591 (or @t33 (not (= @t355 @t780)) @t567 @t401 @t29))) % 3.13/3.42 (assume @p683 (forall @t607 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t461 @t460 @t1) @t142) @t825))) % 3.13/3.42 (assume @p684 (forall @t75 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t84 @t456 @t1) @t142) @t825))) % 3.13/3.42 (assume @p685 (forall @t348 (or @t785 @t535))) % 3.13/3.42 (assume @p686 (forall @t363 (or (tptp.c_lessequals @t777 (tptp.hAPP @t115 @t266) tptp.tc_nat) @t361 @t128))) % 3.13/3.42 (assume @p687 (forall @t668 (tptp.c_lessequals @t18 (tptp.hAPP @t275 @t768) tptp.tc_nat))) % 3.13/3.42 (assume @p688 (forall @t87 (or @t827 @t826 @t82 @t401 @t366 @t365))) % 3.13/3.42 (assume @p689 (forall @t87 (or @t827 @t826 @t82 @t29 @t366 @t365))) % 3.13/3.42 (assume @p690 (forall @t12 (or @t11 (= (tptp.c_Orderings_Oord__class_Omax @t9 @t2 @t1) @t828)))) % 3.13/3.42 (assume @p691 (forall @t12 (or @t11 (= @t828 (tptp.c_Orderings_Oord__class_Omax @t6 @t829 @t1))))) % 3.13/3.42 (assume @p692 (forall @t387 (or @t33 (tptp.c_HOL_Oord__class_Oless @t27 @t482 @t1)))) % 3.13/3.42 (assume @p693 (forall @t435 (= (tptp.c_Divides_Odiv__class_Omod @t561 @t17 tptp.tc_nat) @t205))) % 3.13/3.42 (assume @p694 (forall @t75 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t480 @t37 @t1) @t141)))) % 3.13/3.42 (assume @p695 (forall @t147 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t479 @t37 @t1) @t141)))) % 3.13/3.42 (assume @p696 (forall (@list @t1 @t26 @t18 @t37) (or @t259 (= (tptp.hAPP @t667 (tptp.hAPP @t42 @t18)) (tptp.hAPP @t617 @t18))))) % 3.13/3.42 (assume @p697 (forall @t220 (or @t103 (tptp.c_HOL_Oord__class_Oless @t18 (tptp.hAPP @t106 (tptp.c_Suc @t108)) tptp.tc_nat)))) % 3.13/3.42 (assume @p698 (forall (@list @t249 @t247 @t17 @t538) (not (= @t677 @t830)))) % 3.13/3.42 (assume @p699 (forall @t94 (or @t33 (tptp.c_lessequals @t27 @t299 @t1)))) % 3.13/3.42 (assume @p700 (forall @t484 (or @t33 (tptp.c_lessequals @t27 @t300 @t1)))) % 3.13/3.42 (assume @p701 (forall @t515 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t261 @t37 @t1) @t831) @t477))) % 3.13/3.42 (assume @p702 (forall @t263 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t262 @t37 @t1) @t831) @t477))) % 3.13/3.42 (assume @p703 (forall @t387 (or @t256 (not (tptp.c_HOL_Oord__class_Oless @t27 @t644 @t1))))) % 3.13/3.42 (assume @p704 (forall @t678 (or (tptp.c_Lambda_Obeta @t676 @t832) @t761))) % 3.13/3.42 (assume @p705 (forall @t61 (or @t11 (= (tptp.c_Orderings_Oord__class_Omax @t3 @t9 @t1) @t9)))) % 3.13/3.42 (assume @p706 (forall @t668 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t273 tptp.tc_nat) @t18))) % 3.13/3.42 (assume @p707 (forall @t263 (or @t256 @t629 @t28 @t834))) % 3.13/3.42 (assume @p708 (forall @t515 (or @t256 @t626 @t28 @t834))) % 3.13/3.42 (assume @p709 (forall @t263 (or @t256 @t629 @t400 @t834))) % 3.13/3.42 (assume @p710 (forall @t515 (or @t256 @t626 @t400 @t834))) % 3.13/3.42 (assume @p711 (forall @t24 (= (tptp.c_HOL_Ominus__class_Ominus @t97 @t17 tptp.tc_nat) @t18))) % 3.13/3.42 (assume @p712 (forall @t220 (= (tptp.c_HOL_Ominus__class_Ominus @t265 @t17 tptp.tc_nat) @t18))) % 3.13/3.42 (assume @p713 (forall @t263 (or @t335 (= (tptp.c_HOL_Ominus__class_Ominus @t262 @t37 @t1) @t26)))) % 3.13/3.42 (assume @p714 (forall @t805 (or @t33 @t19 (not (tptp.c_lessequals @t427 @t32 @t1)) @t616))) % 3.13/3.42 (assume @p715 (forall @t804 (or @t33 @t437 (not @t835) @t799))) % 3.13/3.42 (assume @p716 (forall @t803 (or @t33 @t835 @t438 @t799))) % 3.13/3.42 (assume @p717 (forall @t302 (or @t33 (tptp.c_HOL_Oord__class_Oless @t88 (tptp.hAPP (tptp.hAPP @t39 @t18) @t17) @t1) (not (tptp.c_HOL_Oord__class_Oless @t88 @t17 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t88 @t18 @t1))))) % 3.13/3.42 (assume @p718 (forall @t492 (or (= (tptp.c_Nitpick_Onat__gcd @t3 @t6) (tptp.c_Nitpick_Onat__gcd @t6 (tptp.c_Divides_Odiv__class_Omod @t3 @t6 tptp.tc_nat))) (= @t6 @t20)))) % 3.13/3.42 (assume @p719 (forall @t289 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t26 @t88 @t1) @t26)))) % 3.13/3.42 (assume @p720 (forall @t537 (or @t536 @t535 (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Divides_Odiv__class_Omod @t534 @t152 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t62 @t112))))) % 3.13/3.42 (assume @p721 (forall @t87 (or @t687 @t686 @t79 @t365))) % 3.13/3.42 (assume @p722 (forall @t87 (or @t687 @t686 @t366 @t77))) % 3.13/3.42 (assume @p723 (forall (@list @t3 @t17) (or (tptp.c_HOL_Oord__class_Oless @t378 @t90 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t3 @t17 tptp.tc_nat))))) % 3.13/3.42 (assume @p724 (forall @t24 (or @t214 (not @t836)))) % 3.13/3.42 (assume @p725 (forall @t24 (or @t836 @t215))) % 3.13/3.42 (assume @p726 (forall @t24 (or @t425 @t103))) % 3.13/3.42 (assume @p727 (forall @t24 (or @t425 @t454))) % 3.13/3.42 (assume @p728 (forall @t289 (or @t332 @t199 (not @t837)))) % 3.13/3.42 (assume @p729 (forall @t289 (or @t332 @t837 @t200))) % 3.13/3.42 (assume @p730 (forall @t34 (or @t841 @t840 @t839 @t92 @t838 @t297))) % 3.13/3.42 (assume @p731 (forall @t34 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t838 @t297))) % 3.13/3.42 (assume @p732 (forall @t177 (or @t259 (= (tptp.hAPP @t642 @t3) @t27)))) % 3.13/3.42 (assume @p733 (forall @t289 (or @t839 @t842))) % 3.13/3.42 (assume @p734 (forall @t289 (or @t839 @t843))) % 3.13/3.42 (assume @p735 (forall (@list @t1 @t37) (or @t844 (= @t786 @t27)))) % 3.13/3.42 (assume @p736 (forall @t289 (or @t844 @t843))) % 3.13/3.42 (assume @p737 (forall @t289 (or @t259 @t843))) % 3.13/3.42 (assume @p738 (forall @t289 (or @t259 @t842))) % 3.13/3.42 (assume @p739 (forall @t387 (or @t841 (not (= @t88 @t27))))) % 3.13/3.42 (assume @p740 (forall @t263 (or @t840 @t845 @t297 @t477))) % 3.13/3.42 (assume @p741 (forall @t263 (or @t840 @t845 @t477 @t297))) % 3.13/3.42 (assume @p742 (forall @t263 (or @t844 @t845 @t477 @t297))) % 3.13/3.42 (assume @p743 (forall @t289 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t26 @t27 @t1) @t27)))) % 3.13/3.42 (assume @p744 (forall @t289 (or @t74 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t26 @t1) @t27)))) % 3.13/3.42 (assume @p745 (forall @t289 (or @t332 (not (= @t330 @t27)) @t297))) % 3.13/3.42 (assume @p746 (forall @t177 (or @t324 @t323 @t846))) % 3.13/3.42 (assume @p747 (forall @t289 (or @t335 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t26 @t1) @t27)))) % 3.13/3.42 (assume @p748 (forall @t289 (or @t335 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t27 @t1) @t26)))) % 3.13/3.42 (assume @p749 (forall @t177 (or @t335 @t846))) % 3.13/3.42 (assume @p750 (forall @t177 (or @t413 @t846))) % 3.13/3.42 (assume @p751 (forall (@list @t1 @t3 @t26) (or @t324 @t323 (not (= @t3 (tptp.hAPP @t271 @t26))) @t297))) % 3.13/3.42 (assume @p752 (forall @t289 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t26 @t26 @t1) @t27)))) % 3.13/3.42 (assume @p753 (forall @t289 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t26 @t27 @t1) @t26)))) % 3.13/3.42 (assume @p754 (forall @t289 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t26 @t1) @t27)))) % 3.13/3.42 (assume @p755 (forall @t387 (or @t332 @t384))) % 3.13/3.42 (assume @p756 (forall @t387 (or @t841 (not (= @t27 @t88))))) % 3.13/3.42 (assume @p757 (forall @t61 (or @t324 @t323 (not (= @t847 @t27)) @t491))) % 3.13/3.42 (assume @p758 (forall @t263 (or @t335 @t848 @t567))) % 3.13/3.42 (assume @p759 (forall @t263 (or @t413 @t848 @t567))) % 3.13/3.42 (assume @p760 (forall @t177 (or @t259 (= (tptp.hAPP @t383 @t3) @t3)))) % 3.13/3.42 (assume @p761 (forall @t289 (or @t208 @t849))) % 3.13/3.42 (assume @p762 (forall @t177 (or @t324 @t323 (= @t3 (tptp.hAPP @t271 @t27))))) % 3.13/3.42 (assume @p763 (forall @t289 (or @t208 @t850))) % 3.13/3.42 (assume @p764 (forall @t289 (or @t522 @t849))) % 3.13/3.42 (assume @p765 (forall @t289 (or @t522 @t850))) % 3.13/3.42 (assume @p766 (forall @t289 (or @t259 @t850))) % 3.13/3.42 (assume @p767 (forall @t289 (or @t259 @t849))) % 3.13/3.42 (assume @p768 (forall @t405 (or @t404 @t4 @t161 @t403))) % 3.13/3.42 (assume @p769 (forall (@list @t1 @t26 @t37 @t78 @t35) (or @t16 (tptp.c_lessequals @t26 @t367 @t1) @t366 (not (tptp.c_lessequals @t26 @t416 @t1))))) % 3.13/3.42 (assume @p770 (forall (@list @t62 @t179 @t178 @t306 @t396 @t395) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Lambda_OdB_OdB__case @t179 @t178 @t306 @t398 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t62 @t397))))) % 3.13/3.42 (assume @p771 (forall (@list @t62 @t179 @t178 @t306 @t782 @t851) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Lambda_OdB_OdB__case @t179 @t178 @t306 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t782) @t851) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t62 (tptp.hAPP (tptp.hAPP @t178 @t782) @t851)))))) % 3.13/3.42 (assume @p772 (forall @t853 (or @t852 @t689))) % 3.13/3.42 (assume @p773 (forall @t853 (or @t852 @t283))) % 3.13/3.42 (assume @p774 (forall (@list @t554 @t396 @t395) (not (= @t555 @t398)))) % 3.13/3.42 (assume @p775 (forall (@list @t694 @t36 @t247) (or (= @t694 (tptp.c_Type_Otype_OFun @t856 @t855)) @t854))) % 3.13/3.42 (assume @p776 (forall (@list @t18 @t111 @t17) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t18 @t111 tptp.tc_nat) @t770 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t772 @t111 tptp.tc_nat)))) % 3.13/3.42 (assume @p777 (forall (@list @t62 @t26 @t37) (or @t63 @t625 (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_HOL_Ominus__class_Ominus @t26 @t37 tptp.tc_nat))))))) % 3.13/3.42 (assume @p778 (= @t581 @t273)) % 3.13/3.42 (assume @p779 (forall @t177 (or @t781 (= @t254 @t3)))) % 3.13/3.42 (assume @p780 (forall @t263 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t69 @t37 @t1) @t27)))) % 3.13/3.42 (assume @p781 (forall @t515 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t388 @t37 @t1) @t27)))) % 3.13/3.42 (assume @p782 (forall (@list @t78 @t3) (= (tptp.c_Divides_Odiv__class_Omod (tptp.hAPP (tptp.hAPP @t105 @t78) @t3) @t78 tptp.tc_nat) @t20))) % 3.13/3.42 (assume @p783 (forall (@list @t62 @t111 @t17) (or (not @t532) (not (tptp.c_HOL_Oord__class_Oless @t111 @t470 tptp.tc_nat)) @t469 @t63))) % 3.13/3.42 (assume @p784 (forall @t87 (or @t86 @t85 @t82 @t29 @t79 @t77))) % 3.13/3.42 (assume @p785 (forall @t220 (or @t641 @t640 @t25))) % 3.13/3.42 (assume @p786 (forall (@list @t396 @t395 @t554) (not (= @t398 @t555)))) % 3.13/3.42 (assume @p787 (forall @t263 (or @t74 (= (tptp.hAPP (tptp.hAPP @t40 @t141) @t145) @t26)))) % 3.13/3.42 (assume @p788 (forall @t158 (or (tptp.c_lessequals @t777 @t776 tptp.tc_nat) @t128))) % 3.13/3.42 (assume @p789 (forall @t775 (or (tptp.c_lessequals @t533 @t774 tptp.tc_nat) @t128))) % 3.13/3.42 (assume @p790 (forall @t348 (or @t347 @t25))) % 3.13/3.42 (assume @p791 (forall @t343 (or @t342 @t25))) % 3.13/3.42 (assume @p792 (forall @t24 (or @t214 (not @t857)))) % 3.13/3.42 (assume @p793 (forall @t220 (or @t857 @t215))) % 3.13/3.42 (assume @p794 (forall @t24 (or @t214 (not @t638)))) % 3.13/3.42 (assume @p795 (forall @t24 (or @t376 @t215))) % 3.13/3.42 (assume @p796 (forall @t387 (or @t256 (= @t644 @t27)))) % 3.13/3.42 (assume @p797 (forall @t607 (or @t256 @t603 @t76 @t458))) % 3.13/3.42 (assume @p798 (forall @t144 (or @t256 @t769 @t608 @t458))) % 3.13/3.42 (assume @p799 (forall @t607 (or @t256 @t603 @t76 @t463))) % 3.13/3.42 (assume @p800 (forall @t144 (or @t256 @t769 @t608 @t463))) % 3.13/3.42 (assume @p801 (forall (@list @t247 @t114 @t249 @t152) (= (tptp.c_Lambda_Osubst @t764 @t249 @t152) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t247 @t249 @t152)) (tptp.c_Lambda_Osubst @t114 @t249 @t152))))) % 3.13/3.42 (assume @p802 (forall @t348 (or (not (= @t636 @t635)) @t283))) % 3.13/3.42 (assume @p803 (forall @t329 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t17 @t273 tptp.tc_nat)) @t17) @t103))) % 3.13/3.42 (assume @p804 (forall @t302 (or @t560 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t97 @t1) (tptp.hAPP (tptp.hAPP @t40 @t300) @t299))))) % 3.13/3.42 (assume @p805 (forall @t24 (or (tptp.c_HOL_Oord__class_Oless @t21 @t18 tptp.tc_nat) @t454 @t103))) % 3.13/3.42 (assume @p806 (forall @t12 (or @t11 (tptp.c_lessequals @t859 @t858 @t1)))) % 3.13/3.42 (assume @p807 (forall @t862 (or @t16 @t861 @t860 @t164))) % 3.13/3.42 (assume @p808 (forall @t862 (or @t16 @t861 @t163 (not @t860)))) % 3.13/3.42 (assume @p809 (forall @t862 (or @t16 @t861 @t863 @t403))) % 3.13/3.42 (assume @p810 (forall @t862 (or @t16 @t861 @t402 (not @t863)))) % 3.13/3.42 (assume @p811 (forall @t391 (or @t288 (= (tptp.hAPP (tptp.hAPP @t30 @t69) @t17) (tptp.hAPP @t353 @t520))))) % 3.13/3.42 (assume @p812 (forall (@list @t1 @t3 @t6 @t104) (or @t259 (= (tptp.hAPP (tptp.hAPP @t30 @t325) @t104) (tptp.hAPP @t791 (tptp.hAPP (tptp.hAPP @t30 @t6) @t104)))))) % 3.13/3.42 (assume @p813 (forall @t75 (or @t74 (= @t577 @t394)))) % 3.13/3.42 (assume @p814 (forall @t147 (or @t74 (= @t578 @t394)))) % 3.13/3.42 (assume @p815 (forall @t220 (or @t705 @t214))) % 3.13/3.42 (assume @p816 (forall @t771 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t17 @t699 tptp.tc_nat) @t17 tptp.tc_nat) @t103))) % 3.13/3.42 (assume @p817 (forall @t24 (or @t757 @t278 @t274))) % 3.13/3.42 (assume @p818 (forall @t24 (or @t757 @t514 @t328))) % 3.13/3.42 (assume @p819 (forall @t168 (or @t11 (= (tptp.c_Orderings_Oord__class_Omax @t52 @t3 @t1) (tptp.c_Orderings_Oord__class_Omin @t766 (tptp.c_Orderings_Oord__class_Omax @t2 @t3 @t1) @t1))))) % 3.13/3.42 (assume @p820 (forall @t12 (or @t11 (= @t859 @t858)))) % 3.13/3.42 (assume @p821 (forall @t390 (or @t290 (= (tptp.hAPP @t31 @t276) (tptp.hAPP (tptp.hAPP @t30 @t427) @t17))))) % 3.13/3.42 (assume @p822 (forall @t515 (or @t74 (= @t143 @t26)))) % 3.13/3.42 (assume @p823 (forall @t263 (or @t74 (= @t146 @t26)))) % 3.13/3.42 (assume @p824 (forall @t263 (or @t74 (= @t26 @t146)))) % 3.13/3.42 (assume @p825 (forall @t515 (or @t408 @t769 @t567 @t211))) % 3.13/3.42 (assume @p826 (forall @t515 (or @t408 @t769 @t211 @t567))) % 3.13/3.42 (assume @p827 (forall @t24 (or @t214 @t283 @t25))) % 3.13/3.42 (assume @p828 (forall @t24 (or @t283 @t214 @t25))) % 3.13/3.42 (assume @p829 (forall @t61 (or @t408 @t491 @t402 @t49))) % 3.13/3.42 (assume @p830 (forall @t61 (or @t408 @t402 @t491 @t49))) % 3.13/3.42 (assume @p831 (forall @t263 (or @t408 @t76 @t567 @t365))) % 3.13/3.42 (assume @p832 (forall @t263 (or @t408 @t76 @t365 @t567))) % 3.13/3.42 (assume @p833 (forall @t61 (or @t11 @t491 @t49 @t402))) % 3.13/3.42 (assume @p834 (forall @t61 (or @t11 @t491 @t402 @t49))) % 3.13/3.42 (assume @p835 (forall @t263 (or @t631 @t833 @t401 @t29))) % 3.13/3.42 (assume @p836 (forall @t263 (or @t256 @t833 @t627 @t630))) % 3.13/3.42 (assume @p837 (forall @t263 (or @t256 @t833 @t401 @t29))) % 3.13/3.42 (assume @p838 (forall @t289 (or @t256 (tptp.c_lessequals @t27 @t632 @t1)))) % 3.13/3.42 (assume @p839 (forall @t263 (or @t239 @t833 @t627 @t630))) % 3.13/3.42 (assume @p840 (forall @t263 (or @t239 @t833 @t401 @t29))) % 3.13/3.42 (assume @p841 (forall @t220 (or @t103 (tptp.c_lessequals @t663 @t18 tptp.tc_nat)))) % 3.13/3.42 (assume @p842 (forall @t613 (= (tptp.c_Lambda_OdB_OdB__size @t398) (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP (tptp.hAPP @t95 (tptp.c_Lambda_OdB_OdB__size @t396)) (tptp.c_Lambda_OdB_OdB__size @t395))) @t273)))) % 3.13/3.42 (assume @p843 (forall @t75 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t84 @t456 @t1) (tptp.hAPP (tptp.hAPP @t39 @t141) @t35))))) % 3.13/3.42 (assume @p844 (forall @t607 (or @t74 (= (tptp.c_Divides_Odiv__class_Omod @t461 @t460 @t1) (tptp.hAPP @t459 @t141))))) % 3.13/3.42 (assume @p845 (forall @t220 (or @t244 (not @t864)))) % 3.13/3.42 (assume @p846 (forall @t220 (or @t864 @t245))) % 3.13/3.42 (assume @p847 (forall @t765 (= (tptp.c_Lambda_OdB_OdB__size @t308) (tptp.hAPP (tptp.hAPP @t95 (tptp.c_Lambda_OdB_OdB__size @t305)) @t273)))) % 3.13/3.42 (assume @p848 (forall @t147 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.hAPP (tptp.hAPP @t39 @t69) @t35) (tptp.hAPP @t44 @t456))))) % 3.13/3.42 (assume @p849 (forall @t866 (or @t259 (= @t865 (tptp.hAPP @t656 @t651))))) % 3.13/3.42 (assume @p850 (forall @t866 (or @t259 (= @t865 (tptp.hAPP @t655 (tptp.hAPP @t652 @t653)))))) % 3.13/3.42 (assume @p851 (forall @t868 (or @t259 (= @t867 (tptp.hAPP @t656 @t650))))) % 3.13/3.42 (assume @p852 (forall @t868 (or @t259 (= @t867 (tptp.hAPP @t657 (tptp.hAPP @t655 @t650)))))) % 3.13/3.42 (assume @p853 (forall @t296 (= (tptp.hAPP (tptp.hAPP @t105 @t276) @t152) (tptp.hAPP @t275 @t340)))) % 3.13/3.42 (assume @p854 (forall @t12 (or @t259 (= (tptp.hAPP @t253 (tptp.hAPP @t252 @t2)) (tptp.hAPP (tptp.hAPP @t39 @t325) @t2))))) % 3.13/3.42 (assume @p855 (forall @t147 (or @t259 @t869))) % 3.13/3.42 (assume @p856 (forall @t147 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t869))) % 3.13/3.42 (assume @p857 (forall @t296 (= (tptp.hAPP (tptp.hAPP @t105 @t97) @t152) (tptp.hAPP (tptp.hAPP @t95 @t341) @t340)))) % 3.13/3.42 (assume @p858 (forall @t348 (= (tptp.hAPP @t344 @t97) (tptp.hAPP (tptp.hAPP @t95 @t346) @t345)))) % 3.13/3.42 (assume @p859 (forall @t12 (or @t259 (= (tptp.hAPP @t253 @t410) @t327)))) % 3.13/3.42 (assume @p860 (forall @t263 (or @t408 @t77 @t778))) % 3.13/3.42 (assume @p861 (forall @t61 (or @t11 @t403 @t407))) % 3.13/3.42 (assume @p862 (forall @t220 (or @t244 @t19))) % 3.13/3.42 (assume @p863 (forall @t176 (or @t11 @t163 @t48))) % 3.13/3.42 (assume @p864 (forall @t176 (or @t404 @t407 @t403))) % 3.13/3.42 (assume @p865 (forall @t515 (or @t404 @t778 @t77))) % 3.13/3.42 (assume @p866 (forall @t289 (or @t208 (= (tptp.hAPP @t370 @t20) @t27)))) % 3.13/3.42 (assume @p867 (forall @t387 (or @t93 @t92 (= (tptp.hAPP @t91 @t20) @t88)))) % 3.13/3.42 (assume @p868 (= (tptp.c_Nat_Osize__class_Osize @t20 tptp.tc_nat) @t20)) % 3.13/3.42 (assume @p869 (forall @t453 (or @t469 @t870))) % 3.13/3.42 (assume @p870 (forall @t453 (or (not @t870) @t138))) % 3.13/3.42 (assume @p871 (forall (@list @t447 @t446 @t1 @t26) (= (tptp.hAPP @t448 @t20) @t447))) % 3.13/3.42 (assume @p872 (tptp.c_lessequals @t20 @t20 tptp.tc_nat)) % 3.13/3.42 (assume @p873 (forall @t24 (= @t871 (tptp.hAPP @t106 @t20)))) % 3.13/3.42 (assume @p874 (forall @t24 (= @t790 @t789))) % 3.13/3.42 (assume @p875 (forall (@list @t1 @t576 @t111) (or @t560 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t576 @t20 @t111 @t1) @t111)))) % 3.13/3.42 (assume @p876 (forall @t68 (or @t67 (tptp.hBOOL (tptp.hAPP @t62 @t670)) @t64))) % 3.13/3.42 (assume @p877 (forall @t824 (or @t63 (not (tptp.hBOOL (tptp.hAPP @t62 @t823))) @t822))) % 3.13/3.42 (assume @p878 (not (tptp.c_HOL_Oord__class_Oless @t20 @t20 tptp.tc_nat))) % 3.13/3.42 (assume @p879 (forall (@list @t247 @t152) (= (tptp.c_Lambda_Oliftn @t20 @t247 @t152) @t247))) % 3.13/3.42 (assume @p880 (forall (@list @t62 @t18) (or (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Divides_Odiv__class_Odiv @t18 @t20 tptp.tc_nat))) @t64))) % 3.13/3.42 (assume @p881 (forall @t453 (or @t64 @t872))) % 3.13/3.42 (assume @p882 (forall @t453 (or (not @t872) @t63))) % 3.13/3.42 (assume @p883 (forall @t329 (or @t102 @t328))) % 3.13/3.42 (assume @p884 (forall @t873 (= (tptp.c_Nat_Onat_Onat__rec @t179 @t178 @t20 @t1) @t179))) % 3.13/3.42 (assume @p885 (forall @t453 (or (tptp.hBOOL (tptp.hAPP @t62 @t470)) @t469 @t63))) % 3.13/3.42 (assume @p886 (forall @t668 (not (= @t100 @t20)))) % 3.13/3.42 (assume @p887 (forall @t874 (not (= @t495 @t20)))) % 3.13/3.42 (assume @p888 (forall @t220 (or (not (= @t679 @t20)) @t23 @t283))) % 3.13/3.42 (assume @p889 (forall @t329 (or @t328 (not (tptp.c_lessequals @t17 @t20 tptp.tc_nat))))) % 3.13/3.42 (assume @p890 (forall @t453 (or @t138 (tptp.hBOOL (tptp.hAPP @t62 @t452)) @t64))) % 3.13/3.42 (assume @p891 (forall @t668 (= @t871 @t20))) % 3.13/3.42 (assume @p892 (forall @t329 (= @t789 @t20))) % 3.13/3.42 (assume @p893 (forall @t24 (or (not (= @t276 @t20)) @t328 @t514))) % 3.13/3.42 (assume @p894 (forall @t24 (or @t875 @t328))) % 3.13/3.42 (assume @p895 (forall @t24 (or @t875 @t514))) % 3.13/3.42 (assume @p896 (forall (@list @t3 @t876 @t1) (= (tptp.c_Nat_Onat_Onat__case @t3 @t876 @t20 @t1) @t3))) % 3.13/3.42 (assume @p897 (forall @t873 (= (tptp.c_Nat_Onat_Onat__case @t179 @t178 @t20 @t1) @t179))) % 3.13/3.42 (assume @p898 (forall @t329 (= (tptp.c_Orderings_Oord__class_Omin @t17 @t20 tptp.tc_nat) @t20))) % 3.13/3.42 (assume @p899 (forall @t329 (= (tptp.c_Orderings_Oord__class_Omin @t20 @t17 tptp.tc_nat) @t20))) % 3.13/3.42 (assume @p900 (forall @t343 (or (not (= @t341 @t340)) @t535 @t283))) % 3.13/3.42 (assume @p901 (forall @t348 (or @t597 @t535 @t283))) % 3.13/3.42 (assume @p902 (forall @t348 (or @t597 @t283 @t535))) % 3.13/3.42 (assume @p903 (forall @t668 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t20 tptp.tc_nat) @t18))) % 3.13/3.42 (assume @p904 (forall @t668 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t18 tptp.tc_nat) @t20))) % 3.13/3.42 (assume @p905 (forall (@list @t3 @t26) (or (not (= @t3 (tptp.hAPP @t414 @t26))) (= @t26 @t20)))) % 3.13/3.42 (assume @p906 (forall @t24 (or (not (= @t97 @t18)) @t328))) % 3.13/3.42 (assume @p907 (forall @t68 (or @t67 (tptp.hBOOL (tptp.hAPP @t62 @t213)) @t64))) % 3.13/3.42 (assume @p908 (forall @t668 (not (= @t20 @t100)))) % 3.13/3.42 (assume @p909 (forall @t874 (not (= @t20 @t495)))) % 3.13/3.42 (assume @p910 (forall (@list @t62 @t179 @t178) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Nat_Onat_Onat__case @t179 @t178 @t20 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t62 @t179))))) % 3.13/3.42 (assume @p911 (forall @t68 (or @t67 (tptp.hBOOL (tptp.hAPP @t62 @t352)) @t64))) % 3.13/3.42 (assume @p912 (forall @t381 (= (tptp.c_Nitpick_Onat__gcd @t3 @t20) @t3))) % 3.13/3.42 (assume @p913 (= (tptp.c_nat_Onat__size @t20) @t20)) % 3.13/3.42 (assume @p914 (forall @t877 (= (tptp.c_String_Ochar_Ochar__size @t35) @t20))) % 3.13/3.42 (assume @p915 (= (tptp.hAPP @t580 @t20) @t20)) % 3.13/3.42 (assume @p916 (forall @t68 (or @t67 (tptp.hBOOL (tptp.hAPP @t62 @t65)) @t64))) % 3.13/3.42 (assume @p917 (forall @t668 (not (tptp.c_HOL_Oord__class_Oless @t18 @t20 tptp.tc_nat)))) % 3.13/3.42 (assume @p918 (forall @t329 (not (tptp.c_HOL_Oord__class_Oless @t17 @t20 tptp.tc_nat)))) % 3.13/3.42 (assume @p919 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_nat) @t20)) % 3.13/3.42 (assume @p920 (forall @t68 (or @t67 (tptp.hBOOL (tptp.hAPP @t62 @t212)) @t64))) % 3.13/3.42 (assume @p921 (forall (@list @t779 @t1) (= (tptp.c_List_Odrop @t20 @t779 @t1) @t779))) % 3.13/3.42 (assume @p922 (forall @t329 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t17 tptp.tc_nat) @t20))) % 3.13/3.42 (assume @p923 (forall @t453 (or @t138 (not (tptp.hBOOL (tptp.hAPP @t62 @t135))) @t64))) % 3.13/3.42 (assume @p924 (forall @t329 (tptp.c_lessequals @t20 @t17 tptp.tc_nat))) % 3.13/3.42 (assume @p925 (forall @t877 (= (tptp.c_Nat_Osize__class_Osize @t35 tptp.tc_String_Ochar) @t20))) % 3.13/3.42 (assume @p926 (forall (@list @t3 @t1 @t6) (= (tptp.c_List_Oreplicate @t20 @t3 @t1) (tptp.c_List_Oreplicate @t20 @t6 @t1)))) % 3.13/3.42 (assume @p927 (forall @t329 (= (tptp.c_Orderings_Oord__class_Omax @t17 @t20 tptp.tc_nat) @t17))) % 3.13/3.42 (assume @p928 (forall @t329 (= (tptp.c_Orderings_Oord__class_Omax @t20 @t17 tptp.tc_nat) @t17))) % 3.13/3.42 (assume @p929 (forall @t285 (or @t284 @t491 @t514))) % 3.13/3.42 (assume @p930 (forall @t381 (= @t3 (tptp.hAPP @t414 @t20)))) % 3.13/3.42 (assume @p931 (forall @t329 (= (tptp.hAPP @t580 @t17) @t17))) % 3.13/3.42 (assume @p932 (forall @t668 (= (tptp.hAPP @t96 @t20) @t18))) % 3.13/3.42 (assume @p933 (forall (@list @t185 @t3 @t183 @t187 @t186 @t184 @t1) (or (= (tptp.hAPP @t191 @t20) @t183) @t188))) % 3.13/3.42 (assume @p934 (forall (@list @t554 @t66) (not (= @t555 @t878)))) % 3.13/3.42 (assume @p935 (forall (@list @t62 @t179 @t178 @t306 @t879) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Lambda_OdB_OdB__case @t179 @t178 @t306 (tptp.c_Lambda_OdB_OVar @t879) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t62 (tptp.hAPP @t179 @t879)))))) % 3.13/3.42 (assume @p936 (forall (@list @t62 @t179 @t178 @t306 @t66) (or (not (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Lambda_OdB_OdB__case @t179 @t178 @t306 @t878 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t62 @t880))))) % 3.13/3.42 (assume @p937 (forall (@list @t152 @t114) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t152) @t114 @t152) @t114))) % 3.13/3.42 (assume @p938 (forall (@list @t111 @t247) (not (tptp.c_Lambda_Obeta @t333 @t247)))) % 3.13/3.42 (assume @p939 (forall @t881 (= (tptp.c_Lambda_OdB_OdB__rec @t179 @t178 @t306 @t878 @t1) @t880))) % 3.13/3.42 (assume @p940 (forall (@list @t66 @t682 @t681) (not (= @t878 @t683)))) % 3.13/3.42 (assume @p941 (forall (@list @t66 @t554) (not (= @t878 @t555)))) % 3.13/3.42 (assume @p942 (forall @t329 (tptp.c_InductTermi_OIT @t553))) % 3.13/3.42 (assume @p943 (forall @t881 (= (tptp.c_Lambda_OdB_OdB__case @t179 @t178 @t306 @t878 @t1) @t880))) % 3.13/3.42 (assume @p944 (forall (@list @t682 @t681 @t66) (not (= @t683 @t878)))) % 3.13/3.42 (assume @p945 (forall (@list @t694 @t693 @t36 @t111 @t552) (or (= @t694 @t693) (not (tptp.c_Type_Otyping @t36 @t882 @t693)) (not (tptp.c_Type_Otyping @t36 @t882 @t694))))) % 3.13/3.42 (assume @p946 (forall (@list @t36 @t884 @t694 @t247) (or (tptp.c_Type_Otyping @t36 @t884 @t694) (not (tptp.c_Lambda_Obeta @t247 @t884)) @t883))) % 3.13/3.42 (assume @p947 (forall (@list @t36 @t247 @t694) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t36 @t20 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t36 @t247) tptp.tc_Type_Otype) @t247 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t36 @t247)) @t854))) % 3.13/3.42 (assume @p948 (forall (@list @t36 @t694 @t247) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t36 @t20 @t856 tptp.tc_Type_Otype) @t247 @t855) @t854))) % 3.13/3.42 (assume @p949 (forall (@list @t36 @t111 @t694 @t1 @t112) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t36 @t111 @t694 @t1) @t112) (tptp.hAPP @t36 @t112)) @t796))) % 3.13/3.42 (assume @p950 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 3.13/3.42 (assume @p951 (forall (@list @t696 @t247 @t694 @t693) (or (tptp.c_Type_Otyping @t696 @t832 @t695) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t696 @t20 @t694 tptp.tc_Type_Otype) @t247 @t693))))) % 3.13/3.42 (assume @p952 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) % 3.13/3.42 (assume @p953 (forall @t94 (or @t841 @t840 @t839 @t92 @t885 @t328))) % 3.13/3.42 (assume @p954 (forall @t94 (or @t93 @t92 @t885 @t328))) % 3.13/3.42 (assume @p955 (forall @t289 (or @t841 @t840 @t839 @t92 (not (= @t784 @t27))))) % 3.13/3.42 (assume @p956 (forall @t387 (or @t560 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t20 @t1) @t27)))) % 3.13/3.42 (assume @p957 (forall @t671 (= (tptp.c_Nat_Osize__class_Osize @t878 tptp.tc_Lambda_OdB) @t20))) % 3.13/3.42 (assume @p958 (forall @t671 (= (tptp.c_Lambda_OdB_OdB__size @t878) @t20))) % 3.13/3.42 (assume @p959 (forall (@list @t36 @t111 @t693 @t1 @t694) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t36 @t111 @t693 @t1) @t20 @t694 @t1) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t36 @t20 @t694 @t1) @t699 @t693 @t1)))) % 3.13/3.42 (assume @p960 (forall (@list @t36 @t111 @t693 @t247 @t694) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t36 @t111 @t693 tptp.tc_Type_Otype) @t550 @t694) @t883))) % 3.13/3.42 (assume @p961 (forall (@list @t886 @t114 @t693 @t111 @t247 @t694) (or (not (tptp.c_Type_Otyping @t886 @t114 @t693)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t886 @t111 @t693 tptp.tc_Type_Otype) @t247 @t694)) (tptp.c_Type_Otyping @t886 @t545 @t694)))) % 3.13/3.42 (assume @p962 (forall @t496 (or (not (= @t878 (tptp.c_Lambda_OdB_OVar @t493))) @t494))) % 3.13/3.42 (assume @p963 @t888) % 3.13/3.42 (assume @p964 (forall (@list @t36 @t111 @t694) (or (= (tptp.hAPP @t36 @t111) @t694) (not (tptp.c_Type_Otyping @t36 @t333 @t694))))) % 3.13/3.42 (assume @p965 (forall (@list @t696 @t3) (tptp.c_Type_Otyping @t696 @t574 (tptp.hAPP @t696 @t3)))) % 3.13/3.42 (assume @p966 (not @t891)) % 3.13/3.42 (assume @p967 (forall @t895 (or (tptp.class_Orderings_Opreorder @t894) (not (tptp.class_Orderings_Opreorder @t892))))) % 3.13/3.42 (assume @p968 (forall @t895 (or (tptp.class_Orderings_Oorder @t894) (not (tptp.class_Orderings_Oorder @t892))))) % 3.13/3.42 (assume @p969 (forall @t895 (or (tptp.class_Orderings_Obot @t894) (not (tptp.class_Orderings_Obot @t892))))) % 3.13/3.42 (assume @p970 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 3.13/3.42 (assume @p971 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 3.13/3.42 (assume @p972 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 3.13/3.42 (assume @p973 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 3.13/3.42 (assume @p974 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 3.13/3.42 (assume @p975 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 3.13/3.42 (assume @p976 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 3.13/3.42 (assume @p977 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 3.13/3.42 (assume @p978 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 3.13/3.42 (assume @p979 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 3.13/3.42 (assume @p980 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 3.13/3.42 (assume @p981 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 3.13/3.42 (assume @p982 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 3.13/3.42 (assume @p983 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 3.13/3.42 (assume @p984 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 3.13/3.42 (assume @p985 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 3.13/3.42 (assume @p986 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 3.13/3.42 (assume @p987 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 3.13/3.42 (assume @p988 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 3.13/3.42 (assume @p989 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 3.13/3.42 (assume @p990 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 3.13/3.42 (assume @p991 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 3.13/3.42 (assume @p992 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 3.13/3.42 (assume @p993 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 3.13/3.42 (assume @p994 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 3.13/3.42 (assume @p995 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 3.13/3.42 (assume @p996 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 3.13/3.42 (assume @p997 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 3.13/3.42 (assume @p998 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 3.13/3.42 (assume @p999 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 3.13/3.42 (assume @p1000 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 3.13/3.42 (assume @p1001 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 3.13/3.42 (assume @p1002 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 3.13/3.42 (assume @p1003 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 3.13/3.42 (assume @p1004 (tptp.class_Orderings_Obot tptp.tc_nat)) % 3.13/3.42 (assume @p1005 (tptp.class_Power_Opower tptp.tc_nat)) % 3.13/3.42 (assume @p1006 (forall (@list @t3 @t1) (tptp.c_fequal @t3 @t3 @t1))) % 3.13/3.42 (assume @p1007 (forall (@list @t897 @t896 @t1) (or (= @t897 @t896) (not (tptp.c_fequal @t897 @t896 @t1))))) % 3.13/3.42 (step @p1008 :rule evaluate :args ((= false true))) % 3.13/3.42 (step @p1009 :rule instantiate :premises (@p965) :args ((@list @t890 @t20))) % 3.13/3.42 (step @p1010 :rule true_intro :premises (@p1009)) % 3.13/3.42 (step @p1011 :rule eq-symm :args (@t887 @t694)) % 3.13/3.42 (step @p1012 :rule cong :premises (@p1011) :args (@t888)) % 3.13/3.42 (step @p1013 :rule eq_resolve :premises (@p963 @p1012)) % 3.13/3.42 (step @p1014 :rule instantiate :premises (@p1013) :args ((@list tptp.v_e____ @t20 tptp.v_T_H_H____ tptp.tc_Type_Otype))) % 3.13/3.42 (step @p1015 :rule refl :args (@t889)) % 3.13/3.42 (step @p1016 :rule refl :args (@t890)) % 3.13/3.42 (step @p1017 :rule cong :premises (@p1016 @p1015 @p1014) :args (@t891)) % 3.13/3.42 (step @p1018 :rule false_intro :premises (@p966)) % 3.13/3.42 (step @p1019 :rule symm :premises (@p1018)) % 3.13/3.42 (step @p1020 :rule trans :premises (@p1019 @p1017 @p1010)) % 3.13/3.42 (step @p1021 false :rule eq_resolve :premises (@p1020 @p1008)) % 3.13/3.42 ) % 3.13/3.43 % SZS output end Proof % 3.13/3.43 % cvc5 exiting %------------------------------------------------------------------------------