%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL813-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:56 AM UTC 2026 % Result : Unsatisfiable 1.76s 2.05s % Output : Proof 1.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL813-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n017.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sun Sep 6 01:32:37 UTC 2026 % 0.10/0.37 % CPUTime : % 0.31/0.61 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.76/2.05 % SZS status Unsatisfiable % 1.76/2.05 % SZS output start Proof % 1.76/2.11 ( % 1.76/2.11 (declare-sort $$unsorted 0) % 1.76/2.11 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.v_as____ $$unsorted) % 1.76/2.11 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.v_T____ $$unsorted) % 1.76/2.11 (declare-const tptp.c_String_Ochar_Ochar__size (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.tc_Type_Otype $$unsorted) % 1.76/2.11 (declare-const tptp.v_T_H_H____ $$unsorted) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.v_e____ $$unsorted) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.v_u____ $$unsorted) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 1.76/2.11 (declare-const tptp.v_T_H____ $$unsorted) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.v_n____ $$unsorted) % 1.76/2.11 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_nat_Onat__size (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.v_sko__List__Xreplicate__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.v_a____ $$unsorted) % 1.76/2.11 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 1.76/2.11 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.v_Ts____ $$unsorted) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.v_rs____ $$unsorted) % 1.76/2.11 (declare-const tptp.v_i____ $$unsorted) % 1.76/2.11 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.tc_String_Ochar $$unsorted) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.tc_nat $$unsorted) % 1.76/2.11 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.t_a $$unsorted) % 1.76/2.11 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.v_sko__Nat__Xnat__Xinducts__1 (-> $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.76/2.11 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 1.76/2.11 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.76/2.11 (define @t1 () (@var "V_j" $$unsorted)) % 1.76/2.11 (define @t2 () (@var "V_i" $$unsorted)) % 1.76/2.11 (define @t3 () (not (tptp.c_lessequals @t2 @t1 tptp.tc_nat))) % 1.76/2.11 (define @t4 () (@var "V_n" $$unsorted)) % 1.76/2.11 (define @t5 () (@var "V_u" $$unsorted)) % 1.76/2.11 (define @t6 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t2 tptp.tc_nat)) % 1.76/2.11 (define @t7 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 1.76/2.11 (define @t8 () (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t6 @t5 tptp.tc_nat)) @t4)) % 1.76/2.11 (define @t9 () (@var "V_m" $$unsorted)) % 1.76/2.11 (define @t10 () (tptp.c_HOL_Oord__class_Oless @t9 @t8 tptp.tc_nat)) % 1.76/2.11 (define @t11 () (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t1 @t5 tptp.tc_nat))) % 1.76/2.11 (define @t12 () (tptp.hAPP @t11 @t4)) % 1.76/2.11 (define @t13 () (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t2 @t5 tptp.tc_nat))) % 1.76/2.11 (define @t14 () (tptp.hAPP @t13 @t9)) % 1.76/2.11 (define @t15 () (tptp.c_HOL_Oord__class_Oless @t14 @t12 tptp.tc_nat)) % 1.76/2.11 (define @t16 () (@list @t2 @t5 @t9 @t1 @t4)) % 1.76/2.11 (define @t17 () (not @t15)) % 1.76/2.11 (define @t18 () (@list @t9 @t1 @t2 @t5 @t4)) % 1.76/2.11 (define @t19 () (not (tptp.c_lessequals @t1 @t2 tptp.tc_nat))) % 1.76/2.11 (define @t20 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t1 tptp.tc_nat)) % 1.76/2.11 (define @t21 () (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t20 @t5 tptp.tc_nat)) @t9)) % 1.76/2.11 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t21 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t23 () (@list @t2 @t1 @t5 @t9 @t4)) % 1.76/2.11 (define @t24 () (@var "V_d" $$unsorted)) % 1.76/2.11 (define @t25 () (@var "T_a" $$unsorted)) % 1.76/2.11 (define @t26 () (@var "V_e" $$unsorted)) % 1.76/2.11 (define @t27 () (@var "V_b" $$unsorted)) % 1.76/2.11 (define @t28 () (tptp.c_HOL_Oplus__class_Oplus @t25)) % 1.76/2.11 (define @t29 () (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t27 @t26 @t25))) % 1.76/2.11 (define @t30 () (tptp.hAPP @t29 @t24)) % 1.76/2.11 (define @t31 () (@var "V_a" $$unsorted)) % 1.76/2.11 (define @t32 () (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t27 @t31 @t25) @t26 @t25)) @t24)) % 1.76/2.11 (define @t33 () (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t31 @t26 @t25))) % 1.76/2.11 (define @t34 () (not (tptp.class_Ring__and__Field_Oring @t25))) % 1.76/2.11 (define @t35 () (tptp.hAPP @t7 @t9)) % 1.76/2.11 (define @t36 () (tptp.hAPP @t35 @t4)) % 1.76/2.11 (define @t37 () (tptp.c_Suc @t36)) % 1.76/2.11 (define @t38 () (tptp.c_Suc @t9)) % 1.76/2.11 (define @t39 () (tptp.hAPP (tptp.hAPP @t7 @t38) @t4)) % 1.76/2.11 (define @t40 () (@list @t9 @t4)) % 1.76/2.11 (define @t41 () (tptp.c_Suc @t4)) % 1.76/2.11 (define @t42 () (tptp.hAPP @t35 @t41)) % 1.76/2.11 (define @t43 () (tptp.c_HOL_Ozero__class_Ozero @t25)) % 1.76/2.11 (define @t44 () (not (tptp.class_Power_Opower @t25))) % 1.76/2.11 (define @t45 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t25))) % 1.76/2.11 (define @t46 () (@list @t25 @t4)) % 1.76/2.11 (define @t47 () (tptp.c_HOL_Oord__class_Oless @t31 @t27 @t25)) % 1.76/2.11 (define @t48 () (not @t47)) % 1.76/2.11 (define @t49 () (@var "V_c" $$unsorted)) % 1.76/2.11 (define @t50 () (not (tptp.c_HOL_Oord__class_Oless @t49 @t24 @t25))) % 1.76/2.11 (define @t51 () (tptp.c_HOL_Oord__class_Oless @t43 @t27 @t25)) % 1.76/2.11 (define @t52 () (not @t51)) % 1.76/2.11 (define @t53 () (not (tptp.c_lessequals @t43 @t49 @t25))) % 1.76/2.11 (define @t54 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t24 @t25)) % 1.76/2.11 (define @t55 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t49 @t25)) % 1.76/2.11 (define @t56 () (tptp.c_HOL_Oord__class_Oless @t55 @t54 @t25)) % 1.76/2.11 (define @t57 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t25))) % 1.76/2.11 (define @t58 () (@list @t25 @t31 @t49 @t27 @t24)) % 1.76/2.11 (define @t59 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 1.76/2.11 (define @t60 () (@var "V_P" $$unsorted)) % 1.76/2.11 (define @t61 () (tptp.hBOOL (tptp.hAPP @t60 @t59))) % 1.76/2.11 (define @t62 () (not @t61)) % 1.76/2.11 (define @t63 () (tptp.v_sko__Nat__Xnat__Xinduct__1 @t60)) % 1.76/2.11 (define @t64 () (@var "V_nat" $$unsorted)) % 1.76/2.11 (define @t65 () (tptp.hBOOL (tptp.hAPP @t60 @t64))) % 1.76/2.11 (define @t66 () (@list @t60 @t64)) % 1.76/2.11 (define @t67 () (@var "V_x" $$unsorted)) % 1.76/2.11 (define @t68 () (@var "V_y" $$unsorted)) % 1.76/2.11 (define @t69 () (tptp.c_Orderings_Oord__class_Omin @t67 @t68 @t25)) % 1.76/2.11 (define @t70 () (not (tptp.class_Orderings_Olinorder @t25))) % 1.76/2.11 (define @t71 () (@list @t25 @t67 @t68)) % 1.76/2.11 (define @t72 () (tptp.c_lessequals @t67 @t31 @t25)) % 1.76/2.11 (define @t73 () (not @t72)) % 1.76/2.11 (define @t74 () (tptp.c_lessequals @t67 @t27 @t25)) % 1.76/2.11 (define @t75 () (not @t74)) % 1.76/2.11 (define @t76 () (tptp.c_Orderings_Oord__class_Omin @t31 @t27 @t25)) % 1.76/2.11 (define @t77 () (tptp.c_lessequals @t67 @t76 @t25)) % 1.76/2.11 (define @t78 () (@list @t25 @t67 @t31 @t27)) % 1.76/2.11 (define @t79 () (tptp.c_lessequals @t67 @t68 @t25)) % 1.76/2.11 (define @t80 () (not @t79)) % 1.76/2.11 (define @t81 () (@var "V_z" $$unsorted)) % 1.76/2.11 (define @t82 () (tptp.c_lessequals @t67 @t81 @t25)) % 1.76/2.11 (define @t83 () (not @t82)) % 1.76/2.11 (define @t84 () (tptp.c_Orderings_Oord__class_Omin @t68 @t81 @t25)) % 1.76/2.11 (define @t85 () (tptp.c_lessequals @t67 @t84 @t25)) % 1.76/2.11 (define @t86 () (@list @t25 @t67 @t68 @t81)) % 1.76/2.11 (define @t87 () (tptp.c_HOL_Ominus__class_Ominus @t31 @t27 @t25)) % 1.76/2.11 (define @t88 () (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t87 @t26 @t25)) @t49)) % 1.76/2.11 (define @t89 () (tptp.hAPP @t33 @t49)) % 1.76/2.11 (define @t90 () (tptp.c_lessequals @t43 @t31 @t25)) % 1.76/2.11 (define @t91 () (not @t90)) % 1.76/2.11 (define @t92 () (tptp.c_Power_Opower__class_Opower @t31 @t4 @t25)) % 1.76/2.11 (define @t93 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t25))) % 1.76/2.11 (define @t94 () (@list @t25 @t31 @t4)) % 1.76/2.11 (define @t95 () (tptp.c_lessequals @t9 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t96 () (not @t95)) % 1.76/2.11 (define @t97 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t98 () (= @t97 @t59)) % 1.76/2.11 (define @t99 () (not @t98)) % 1.76/2.11 (define @t100 () (tptp.c_HOL_Ominus__class_Ominus @t68 @t81 @t25)) % 1.76/2.11 (define @t101 () (tptp.c_HOL_Ominus__class_Ominus @t67 @t81 @t25)) % 1.76/2.11 (define @t102 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t25))) % 1.76/2.11 (define @t103 () (tptp.c_HOL_Oord__class_Oless @t67 @t81 @t25)) % 1.76/2.11 (define @t104 () (not @t103)) % 1.76/2.11 (define @t105 () (tptp.c_HOL_Oord__class_Oless @t68 @t81 @t25)) % 1.76/2.11 (define @t106 () (not @t105)) % 1.76/2.11 (define @t107 () (tptp.c_Orderings_Oord__class_Omax @t67 @t68 @t25)) % 1.76/2.11 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t107 @t81 @t25)) % 1.76/2.11 (define @t109 () (@var "V_zs" $$unsorted)) % 1.76/2.11 (define @t110 () (@var "V_ys" $$unsorted)) % 1.76/2.11 (define @t111 () (= @t110 @t109)) % 1.76/2.11 (define @t112 () (@var "V_xs" $$unsorted)) % 1.76/2.11 (define @t113 () (tptp.c_List_Oappend @t112 @t110 @t25)) % 1.76/2.11 (define @t114 () (@list @t112 @t110 @t25 @t109)) % 1.76/2.11 (define @t115 () (@var "V_k" $$unsorted)) % 1.76/2.11 (define @t116 () (not (tptp.c_lessequals @t115 @t1 tptp.tc_nat))) % 1.76/2.11 (define @t117 () (tptp.hAPP @t7 @t115)) % 1.76/2.11 (define @t118 () (tptp.hAPP @t117 @t9)) % 1.76/2.11 (define @t119 () (tptp.c_Suc @t1)) % 1.76/2.11 (define @t120 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t121 () (tptp.c_Suc @t120)) % 1.76/2.11 (define @t122 () (= @t9 @t4)) % 1.76/2.11 (define @t123 () (tptp.c_List_Oreplicate @t9 @t67 @t25)) % 1.76/2.11 (define @t124 () (not (= @t123 (tptp.c_List_Oreplicate @t4 @t68 @t25)))) % 1.76/2.11 (define @t125 () (@list @t9 @t67 @t25 @t4 @t68)) % 1.76/2.11 (define @t126 () (tptp.c_HOL_Oord__class_Oless @t43 @t31 @t25)) % 1.76/2.11 (define @t127 () (not @t126)) % 1.76/2.11 (define @t128 () (not (tptp.c_lessequals @t27 @t49 @t25))) % 1.76/2.11 (define @t129 () (tptp.hAPP @t28 @t31)) % 1.76/2.11 (define @t130 () (tptp.hAPP @t129 @t49)) % 1.76/2.11 (define @t131 () (tptp.c_HOL_Oord__class_Oless @t27 @t130 @t25)) % 1.76/2.11 (define @t132 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t25))) % 1.76/2.11 (define @t133 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t25))) % 1.76/2.11 (define @t134 () (@list @t25 @t27 @t31 @t49)) % 1.76/2.11 (define @t135 () (tptp.c_HOL_Oord__class_Oless @t59 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t136 () (not @t135)) % 1.76/2.11 (define @t137 () (tptp.hAPP @t7 @t4)) % 1.76/2.11 (define @t138 () (tptp.hAPP @t137 @t115)) % 1.76/2.11 (define @t139 () (@list @t9 @t4 @t115)) % 1.76/2.11 (define @t140 () (tptp.c_Suc @t59)) % 1.76/2.11 (define @t141 () (tptp.hAPP (tptp.hAPP @t7 @t140) @t59)) % 1.76/2.11 (define @t142 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t4 @t25)) % 1.76/2.11 (define @t143 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t9 @t25)) % 1.76/2.11 (define @t144 () (tptp.c_lessequals @t143 @t142 @t25)) % 1.76/2.11 (define @t145 () (@list @t25 @t9 @t4)) % 1.76/2.11 (define @t146 () (@var "V_s" $$unsorted)) % 1.76/2.11 (define @t147 () (@var "V_r" $$unsorted)) % 1.76/2.11 (define @t148 () (not (tptp.c_Lambda_Obeta @t147 @t146))) % 1.76/2.11 (define @t149 () (@var "V_t" $$unsorted)) % 1.76/2.11 (define @t150 () (@var "V_dB" $$unsorted)) % 1.76/2.11 (define @t151 () (@var "V_f3" $$unsorted)) % 1.76/2.11 (define @t152 () (tptp.hAPP @t151 @t150)) % 1.76/2.11 (define @t153 () (tptp.c_Lambda_OdB_OAbs @t150)) % 1.76/2.11 (define @t154 () (@var "V_f2" $$unsorted)) % 1.76/2.11 (define @t155 () (@var "V_f1" $$unsorted)) % 1.76/2.11 (define @t156 () (@list @t155 @t154 @t151 @t150 @t25)) % 1.76/2.11 (define @t157 () (tptp.c_HOL_Oord__class_Oless @t81 @t67 @t25)) % 1.76/2.11 (define @t158 () (not @t157)) % 1.76/2.11 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t81 @t68 @t25)) % 1.76/2.11 (define @t160 () (not @t159)) % 1.76/2.11 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t81 @t69 @t25)) % 1.76/2.11 (define @t162 () (@list @t25 @t81 @t67 @t68)) % 1.76/2.11 (define @t163 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t68 tptp.tc_nat)) % 1.76/2.11 (define @t164 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t81 tptp.tc_nat)) % 1.76/2.11 (define @t165 () (@list @t67 @t68 @t81)) % 1.76/2.11 (define @t166 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t49 tptp.tc_nat)) % 1.76/2.11 (define @t167 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t24 tptp.tc_nat)) % 1.76/2.11 (define @t168 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t49 @t25)) % 1.76/2.11 (define @t169 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t24 @t25)) % 1.76/2.11 (define @t170 () (not (tptp.class_Int_Onumber__ring @t25))) % 1.76/2.11 (define @t171 () (not (tptp.class_Ring__and__Field_Oidom @t25))) % 1.76/2.11 (define @t172 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t68 @t25)) % 1.76/2.11 (define @t173 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t81 @t25)) % 1.76/2.11 (define @t174 () (tptp.hAPP (tptp.hAPP @t28 @t172) @t173)) % 1.76/2.11 (define @t175 () (= @t4 @t59)) % 1.76/2.11 (define @t176 () (@list @t4)) % 1.76/2.11 (define @t177 () (tptp.hAPP @t129 @t31)) % 1.76/2.11 (define @t178 () (tptp.c_lessequals @t43 @t177 @t25)) % 1.76/2.11 (define @t179 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t25))) % 1.76/2.11 (define @t180 () (@list @t25 @t31)) % 1.76/2.11 (define @t181 () (tptp.c_Lambda_OdB_OVar @t2)) % 1.76/2.11 (define @t182 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t12 tptp.tc_nat)) % 1.76/2.11 (define @t183 () (not (tptp.class_OrderedGroup_Ogroup__add @t25))) % 1.76/2.11 (define @t184 () (@list @t25 @t31 @t27)) % 1.76/2.11 (define @t185 () (tptp.hBOOL (tptp.hAPP @t60 @t67))) % 1.76/2.11 (define @t186 () (tptp.hAPP @t7 @t27)) % 1.76/2.11 (define @t187 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t188 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t189 () (tptp.c_lessequals @t188 @t187 tptp.tc_nat)) % 1.76/2.11 (define @t190 () (@list @t9 @t115 @t4)) % 1.76/2.11 (define @t191 () (tptp.c_HOL_Otimes__class_Otimes @t115 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t192 () (tptp.c_HOL_Otimes__class_Otimes @t115 @t9 tptp.tc_nat)) % 1.76/2.11 (define @t193 () (tptp.c_lessequals @t192 @t191 tptp.tc_nat)) % 1.76/2.11 (define @t194 () (@list @t115 @t9 @t4)) % 1.76/2.11 (define @t195 () (@var "V_q" $$unsorted)) % 1.76/2.11 (define @t196 () (@var "V_p" $$unsorted)) % 1.76/2.11 (define @t197 () (tptp.c_HOL_Otimes__class_Otimes @t196 @t195 tptp.tc_nat)) % 1.76/2.11 (define @t198 () (tptp.c_Power_Opower__class_Opower @t67 @t196 @t25)) % 1.76/2.11 (define @t199 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t25))) % 1.76/2.11 (define @t200 () (@list @t25 @t67 @t196 @t195)) % 1.76/2.11 (define @t201 () (tptp.v_sko__Nat__Xnat__Xinducts__1 @t60)) % 1.76/2.11 (define @t202 () (tptp.c_HOL_Otimes__class_Otimes @t92 @t31 @t25)) % 1.76/2.11 (define @t203 () (tptp.c_Power_Opower__class_Opower @t31 @t41 @t25)) % 1.76/2.11 (define @t204 () (not (tptp.class_OrderedGroup_Omonoid__mult @t25))) % 1.76/2.11 (define @t205 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t92 @t25)) % 1.76/2.11 (define @t206 () (tptp.c_Power_Opower__class_Opower @t67 @t195 @t25)) % 1.76/2.11 (define @t207 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t206 @t25)) % 1.76/2.11 (define @t208 () (tptp.c_Suc @t195)) % 1.76/2.11 (define @t209 () (tptp.c_Power_Opower__class_Opower @t67 @t208 @t25)) % 1.76/2.11 (define @t210 () (@list @t25 @t67 @t195)) % 1.76/2.11 (define @t211 () (@var "V_l" $$unsorted)) % 1.76/2.11 (define @t212 () (not (tptp.c_lessequals @t115 @t211 tptp.tc_nat))) % 1.76/2.11 (define @t213 () (tptp.hAPP @t7 @t1)) % 1.76/2.11 (define @t214 () (tptp.hAPP @t213 @t211)) % 1.76/2.11 (define @t215 () (tptp.hAPP @t7 @t2)) % 1.76/2.11 (define @t216 () (tptp.hAPP @t215 @t115)) % 1.76/2.11 (define @t217 () (@list @t2 @t115 @t1 @t211)) % 1.76/2.11 (define @t218 () (tptp.c_lessequals @t31 @t27 @t25)) % 1.76/2.11 (define @t219 () (not @t218)) % 1.76/2.11 (define @t220 () (not (tptp.c_lessequals @t49 @t24 @t25))) % 1.76/2.11 (define @t221 () (tptp.hAPP @t28 @t27)) % 1.76/2.11 (define @t222 () (tptp.hAPP @t221 @t24)) % 1.76/2.11 (define @t223 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t25))) % 1.76/2.11 (define @t224 () (tptp.c_HOL_Oord__class_Oless @t9 @t41 tptp.tc_nat)) % 1.76/2.11 (define @t225 () (not @t224)) % 1.76/2.11 (define @t226 () (tptp.c_Suc @t67)) % 1.76/2.11 (define @t227 () (tptp.c_HOL_Oord__class_Oless @t67 @t226 tptp.tc_nat)) % 1.76/2.11 (define @t228 () (tptp.c_lessequals @t67 @t67 tptp.tc_nat)) % 1.76/2.11 (define @t229 () (@list @t67)) % 1.76/2.11 (define @t230 () (tptp.c_List_Ofoldl @t28 @t43 @t112 @t25 @t25)) % 1.76/2.11 (define @t231 () (tptp.c_List_Olistsum @t112 @t25)) % 1.76/2.11 (define @t232 () (not (tptp.class_OrderedGroup_Omonoid__add @t25))) % 1.76/2.11 (define @t233 () (@list @t25 @t112)) % 1.76/2.11 (define @t234 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t9 tptp.tc_nat)) % 1.76/2.11 (define @t235 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t236 () (tptp.hAPP @t28 @t43)) % 1.76/2.11 (define @t237 () (= (tptp.hAPP @t236 @t43) @t43)) % 1.76/2.11 (define @t238 () (not (tptp.c_lessequals @t43 @t43 @t25))) % 1.76/2.11 (define @t239 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t25))) % 1.76/2.11 (define @t240 () (@list @t25)) % 1.76/2.11 (define @t241 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t31 @t25)) % 1.76/2.11 (define @t242 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t27 @t25)) % 1.76/2.11 (define @t243 () (@var "V_dB2" $$unsorted)) % 1.76/2.11 (define @t244 () (@var "V_dB1" $$unsorted)) % 1.76/2.11 (define @t245 () (tptp.hAPP (tptp.hAPP @t154 @t244) @t243)) % 1.76/2.11 (define @t246 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t244) @t243)) % 1.76/2.11 (define @t247 () (@list @t155 @t154 @t151 @t244 @t243 @t25)) % 1.76/2.11 (define @t248 () (tptp.c_lessequals @t43 @t27 @t25)) % 1.76/2.11 (define @t249 () (not @t248)) % 1.76/2.11 (define @t250 () (tptp.hAPP @t129 @t27)) % 1.76/2.11 (define @t251 () (tptp.c_HOL_Oord__class_Oless @t67 @t68 @t25)) % 1.76/2.11 (define @t252 () (not @t251)) % 1.76/2.11 (define @t253 () (not (tptp.class_Orderings_Opreorder @t25))) % 1.76/2.11 (define @t254 () (@list @t25 @t67 @t81 @t68)) % 1.76/2.11 (define @t255 () (tptp.c_HOL_Oord__class_Oless @t68 @t67 @t25)) % 1.76/2.11 (define @t256 () (not @t255)) % 1.76/2.11 (define @t257 () (not (tptp.class_Orderings_Oorder @t25))) % 1.76/2.11 (define @t258 () (@var "V_T" $$unsorted)) % 1.76/2.11 (define @t259 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t149)) % 1.76/2.11 (define @t260 () (tptp.hAPP @t259 @t5)) % 1.76/2.11 (define @t261 () (not (tptp.c_Type_Otyping @t26 @t260 @t258))) % 1.76/2.11 (define @t262 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t258 @t26 @t149 @t5)) % 1.76/2.11 (define @t263 () (= @t107 @t68)) % 1.76/2.11 (define @t264 () (tptp.c_lessequals @t68 @t67 @t25)) % 1.76/2.11 (define @t265 () (not @t264)) % 1.76/2.11 (define @t266 () (tptp.hAPP @t28 @t67)) % 1.76/2.11 (define @t267 () (tptp.hAPP @t266 @t68)) % 1.76/2.11 (define @t268 () (tptp.hAPP @t28 @t68)) % 1.76/2.11 (define @t269 () (tptp.hAPP @t268 @t81)) % 1.76/2.11 (define @t270 () (tptp.hAPP @t266 @t269)) % 1.76/2.11 (define @t271 () (tptp.hAPP @t266 @t81)) % 1.76/2.11 (define @t272 () (not (tptp.class_OrderedGroup_Oab__group__add @t25))) % 1.76/2.11 (define @t273 () (tptp.hAPP @t7 @t67)) % 1.76/2.11 (define @t274 () (tptp.hAPP @t273 @t81)) % 1.76/2.11 (define @t275 () (tptp.hAPP @t7 @t68)) % 1.76/2.11 (define @t276 () (tptp.hAPP @t275 @t81)) % 1.76/2.11 (define @t277 () (tptp.hAPP @t221 @t49)) % 1.76/2.11 (define @t278 () (tptp.hAPP @t129 @t277)) % 1.76/2.11 (define @t279 () (tptp.hAPP @t28 @t250)) % 1.76/2.11 (define @t280 () (tptp.hAPP @t279 @t49)) % 1.76/2.11 (define @t281 () (= @t280 @t278)) % 1.76/2.11 (define @t282 () (@list @t25 @t31 @t27 @t49)) % 1.76/2.11 (define @t283 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t25))) % 1.76/2.11 (define @t284 () (tptp.hAPP @t28 @t130)) % 1.76/2.11 (define @t285 () (tptp.hAPP @t28 @t49)) % 1.76/2.11 (define @t286 () (tptp.hAPP @t285 @t24)) % 1.76/2.11 (define @t287 () (tptp.hAPP @t129 @t286)) % 1.76/2.11 (define @t288 () (@list @t25 @t31 @t49 @t24)) % 1.76/2.11 (define @t289 () (tptp.c_HOL_Oord__class_Oless @t59 @t36 tptp.tc_nat)) % 1.76/2.11 (define @t290 () (tptp.c_HOL_Oord__class_Oless @t59 @t9 tptp.tc_nat)) % 1.76/2.11 (define @t291 () (tptp.c_HOL_Oord__class_Oless @t59 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t292 () (@list @t4 @t9)) % 1.76/2.11 (define @t293 () (tptp.c_Power_Opower__class_Opower @t31 @t9 @t25)) % 1.76/2.11 (define @t294 () (@list @t25 @t31 @t9 @t4)) % 1.76/2.11 (define @t295 () (tptp.c_lessequals @t140 @t235 tptp.tc_nat)) % 1.76/2.11 (define @t296 () (not @t295)) % 1.76/2.11 (define @t297 () (tptp.c_lessequals @t140 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t298 () (tptp.c_lessequals @t140 @t9 tptp.tc_nat)) % 1.76/2.11 (define @t299 () (tptp.c_List_Olist_OCons @t67 @t112 @t25)) % 1.76/2.11 (define @t300 () (@list @t67 @t112 @t25)) % 1.76/2.11 (define @t301 () (tptp.c_List_Oreplicate @t4 @t67 @t25)) % 1.76/2.11 (define @t302 () (@list @t4 @t67 @t25)) % 1.76/2.11 (define @t303 () (tptp.hAPP @t35 @t1)) % 1.76/2.11 (define @t304 () (@list @t2 @t9 @t1)) % 1.76/2.11 (define @t305 () (tptp.hAPP @t213 @t9)) % 1.76/2.11 (define @t306 () (@list @t2 @t1 @t9)) % 1.76/2.11 (define @t307 () (not (= @t89 @t30))) % 1.76/2.11 (define @t308 () (@list @t25 @t31 @t26 @t49 @t27 @t24)) % 1.76/2.11 (define @t309 () (tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 @t60)) % 1.76/2.11 (define @t310 () (tptp.hAPP @t60 @t4)) % 1.76/2.11 (define @t311 () (tptp.hBOOL @t310)) % 1.76/2.11 (define @t312 () (@list @t2 @t9)) % 1.76/2.11 (define @t313 () (tptp.hAPP @t35 @t67)) % 1.76/2.11 (define @t314 () (@list @t9 @t67)) % 1.76/2.11 (define @t315 () (tptp.c_lessequals @t2 @t120 tptp.tc_nat)) % 1.76/2.11 (define @t316 () (tptp.c_lessequals @t216 @t1 tptp.tc_nat)) % 1.76/2.11 (define @t317 () (@list @t2 @t115 @t1)) % 1.76/2.11 (define @t318 () (@list @t2 @t1 @t115)) % 1.76/2.11 (define @t319 () (tptp.c_lessequals @t68 @t81 @t25)) % 1.76/2.11 (define @t320 () (not @t319)) % 1.76/2.11 (define @t321 () (tptp.c_lessequals @t107 @t81 @t25)) % 1.76/2.11 (define @t322 () (tptp.c_lessequals @t81 @t67 @t25)) % 1.76/2.11 (define @t323 () (not @t322)) % 1.76/2.11 (define @t324 () (tptp.c_Orderings_Oord__class_Omax @t68 @t81 @t25)) % 1.76/2.11 (define @t325 () (@list @t25 @t68 @t81 @t67)) % 1.76/2.11 (define @t326 () (tptp.c_lessequals @t31 @t67 @t25)) % 1.76/2.11 (define @t327 () (not @t326)) % 1.76/2.11 (define @t328 () (tptp.c_lessequals @t27 @t67 @t25)) % 1.76/2.11 (define @t329 () (not @t328)) % 1.76/2.11 (define @t330 () (tptp.c_Orderings_Oord__class_Omax @t31 @t27 @t25)) % 1.76/2.11 (define @t331 () (tptp.c_lessequals @t330 @t67 @t25)) % 1.76/2.11 (define @t332 () (@list @t25 @t31 @t27 @t67)) % 1.76/2.11 (define @t333 () (@list @t25 @t68 @t67)) % 1.76/2.11 (define @t334 () (tptp.c_List_Olist_ONil @t25)) % 1.76/2.11 (define @t335 () (tptp.c_List_Oappend @t112 @t334 @t25)) % 1.76/2.11 (define @t336 () (@list @t112 @t25)) % 1.76/2.11 (define @t337 () (@list @t67 @t25)) % 1.76/2.11 (define @t338 () (tptp.c_List_Oappend @t334 @t110 @t25)) % 1.76/2.11 (define @t339 () (@list @t25 @t67)) % 1.76/2.11 (define @t340 () (@var "V_r1" $$unsorted)) % 1.76/2.11 (define @t341 () (@var "V_r0" $$unsorted)) % 1.76/2.11 (define @t342 () (@var "V_pwr" $$unsorted)) % 1.76/2.11 (define @t343 () (@var "V_mul" $$unsorted)) % 1.76/2.11 (define @t344 () (@var "V_add" $$unsorted)) % 1.76/2.11 (define @t345 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t344 @t343 @t342 @t341 @t340 @t25))) % 1.76/2.11 (define @t346 () (tptp.hAPP @t342 @t67)) % 1.76/2.11 (define @t347 () (tptp.hAPP @t346 @t196)) % 1.76/2.11 (define @t348 () (tptp.c_Orderings_Oord__class_Omin @t68 @t67 @t25)) % 1.76/2.11 (define @t349 () (tptp.c_Orderings_Oord__class_Omin @t67 @t81 @t25)) % 1.76/2.11 (define @t350 () (tptp.c_Orderings_Oord__class_Omax @t69 @t349 @t25)) % 1.76/2.11 (define @t351 () (tptp.c_Orderings_Oord__class_Omin @t67 @t324 @t25)) % 1.76/2.11 (define @t352 () (tptp.c_lessequals @t27 @t130 @t25)) % 1.76/2.11 (define @t353 () (tptp.c_lessequals @t27 @t31 @t25)) % 1.76/2.11 (define @t354 () (not @t353)) % 1.76/2.11 (define @t355 () (tptp.v_sko__List__Xupt__Xinduct__1 @t60)) % 1.76/2.11 (define @t356 () (@var "V_nat_H" $$unsorted)) % 1.76/2.11 (define @t357 () (= @t64 @t356)) % 1.76/2.11 (define @t358 () (tptp.c_Type_Otype_OAtom @t64)) % 1.76/2.11 (define @t359 () (@list @t64 @t356)) % 1.76/2.11 (define @t360 () (tptp.v_sko__List__Xreplicate__Xinduct__1 @t60)) % 1.76/2.11 (define @t361 () (tptp.c_HOL_Oord__class_Oless @t9 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t362 () (not @t361)) % 1.76/2.11 (define @t363 () (tptp.c_lessequals @t38 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t364 () (not @t363)) % 1.76/2.11 (define @t365 () (tptp.c_HOL_Oord__class_Oless @t4 @t9 tptp.tc_nat)) % 1.76/2.11 (define @t366 () (tptp.c_lessequals @t41 @t9 tptp.tc_nat)) % 1.76/2.11 (define @t367 () (not @t366)) % 1.76/2.11 (define @t368 () (tptp.c_HOL_Oord__class_Oless @t67 @t68 tptp.tc_nat)) % 1.76/2.11 (define @t369 () (not @t368)) % 1.76/2.11 (define @t370 () (tptp.c_HOL_Oord__class_Oless @t67 @t276 tptp.tc_nat)) % 1.76/2.11 (define @t371 () (tptp.hAPP @t215 @t1)) % 1.76/2.11 (define @t372 () (tptp.c_HOL_Oord__class_Oless @t2 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t373 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t1 tptp.tc_nat))) % 1.76/2.11 (define @t374 () (tptp.c_lessequals @t49 @t32 @t25)) % 1.76/2.11 (define @t375 () (tptp.c_lessequals @t89 @t30 @t25)) % 1.76/2.11 (define @t376 () (not (tptp.class_Ring__and__Field_Opordered__ring @t25))) % 1.76/2.11 (define @t377 () (not @t375)) % 1.76/2.11 (define @t378 () (@list @t25 @t49 @t27 @t31 @t26 @t24)) % 1.76/2.11 (define @t379 () (tptp.c_lessequals @t88 @t24 @t25)) % 1.76/2.11 (define @t380 () (@list @t25 @t31 @t27 @t26 @t49 @t24)) % 1.76/2.11 (define @t381 () (tptp.c_lessequals @t4 @t9 tptp.tc_nat)) % 1.76/2.11 (define @t382 () (not @t381)) % 1.76/2.11 (define @t383 () (tptp.c_HOL_Ominus__class_Ominus @t38 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t384 () (tptp.c_Lambda_Olift @t149 @t115)) % 1.76/2.11 (define @t385 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t146)) % 1.76/2.11 (define @t386 () (tptp.hAPP @t385 @t149)) % 1.76/2.11 (define @t387 () (tptp.c_HOL_Otimes__class_Otimes @t67 @t67 @t25)) % 1.76/2.11 (define @t388 () (tptp.hAPP (tptp.hAPP @t28 @t387) (tptp.c_HOL_Otimes__class_Otimes @t68 @t68 @t25))) % 1.76/2.11 (define @t389 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t25))) % 1.76/2.11 (define @t390 () (tptp.hAPP @t285 @t31)) % 1.76/2.11 (define @t391 () (tptp.hAPP @t221 @t31)) % 1.76/2.11 (define @t392 () (tptp.hAPP @t137 @t9)) % 1.76/2.11 (define @t393 () (not (tptp.c_HOL_Oord__class_Oless @t115 @t211 tptp.tc_nat))) % 1.76/2.11 (define @t394 () (tptp.hAPP @t117 @t4)) % 1.76/2.11 (define @t395 () (= @t9 @t140)) % 1.76/2.11 (define @t396 () (not (= @t235 @t140))) % 1.76/2.11 (define @t397 () (= @t4 @t140)) % 1.76/2.11 (define @t398 () (tptp.c_HOL_Ominus__class_Ominus @t211 @t9 tptp.tc_nat)) % 1.76/2.11 (define @t399 () (tptp.c_HOL_Ominus__class_Ominus @t211 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t400 () (@list @t211 @t4 @t9)) % 1.76/2.11 (define @t401 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t49 @t25)) % 1.76/2.11 (define @t402 () (tptp.c_HOL_Oord__class_Oless @t55 @t401 @t25)) % 1.76/2.11 (define @t403 () (not @t402)) % 1.76/2.11 (define @t404 () (tptp.c_HOL_Otimes__class_Otimes @t49 @t27 @t25)) % 1.76/2.11 (define @t405 () (tptp.c_HOL_Otimes__class_Otimes @t49 @t31 @t25)) % 1.76/2.11 (define @t406 () (tptp.c_HOL_Oord__class_Oless @t405 @t404 @t25)) % 1.76/2.11 (define @t407 () (not @t406)) % 1.76/2.11 (define @t408 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t25))) % 1.76/2.11 (define @t409 () (tptp.c_lessequals @t81 @t107 @t25)) % 1.76/2.11 (define @t410 () (tptp.c_lessequals @t81 @t68 @t25)) % 1.76/2.11 (define @t411 () (@list @t25 @t81 @t68 @t67)) % 1.76/2.11 (define @t412 () (tptp.hAPP (tptp.hAPP @t7 @t196) @t195)) % 1.76/2.11 (define @t413 () (tptp.hAPP @t346 @t195)) % 1.76/2.11 (define @t414 () (not @t85)) % 1.76/2.11 (define @t415 () (tptp.c_lessequals @t69 @t81 @t25)) % 1.76/2.11 (define @t416 () (tptp.c_lessequals @t76 @t67 @t25)) % 1.76/2.11 (define @t417 () (not @t77)) % 1.76/2.11 (define @t418 () (= @t68 @t43)) % 1.76/2.11 (define @t419 () (not (tptp.c_lessequals @t43 @t67 @t25))) % 1.76/2.11 (define @t420 () (not (tptp.c_lessequals @t43 @t68 @t25))) % 1.76/2.11 (define @t421 () (not (= @t267 @t43))) % 1.76/2.11 (define @t422 () (= @t67 @t43)) % 1.76/2.11 (define @t423 () (= @t67 @t68)) % 1.76/2.11 (define @t424 () (@list @t67 @t68)) % 1.76/2.11 (define @t425 () (tptp.c_Suc @t356)) % 1.76/2.11 (define @t426 () (tptp.c_Suc @t64)) % 1.76/2.11 (define @t427 () (tptp.c_List_Ofoldl @t28 @t31 @t112 @t25 @t25)) % 1.76/2.11 (define @t428 () (tptp.c_HOL_Oord__class_Oless @t49 @t32 @t25)) % 1.76/2.11 (define @t429 () (tptp.c_HOL_Oord__class_Oless @t89 @t30 @t25)) % 1.76/2.11 (define @t430 () (not @t429)) % 1.76/2.11 (define @t431 () (tptp.c_HOL_Oord__class_Oless @t88 @t24 @t25)) % 1.76/2.11 (define @t432 () (not (= @t14 @t12))) % 1.76/2.11 (define @t433 () (tptp.c_HOL_Oord__class_Oless @t31 @t43 @t25)) % 1.76/2.11 (define @t434 () (not @t433)) % 1.76/2.11 (define @t435 () (tptp.c_HOL_Oord__class_Oless @t177 @t43 @t25)) % 1.76/2.11 (define @t436 () (not @t435)) % 1.76/2.11 (define @t437 () (not (tptp.class_Ring__and__Field_Oordered__idom @t25))) % 1.76/2.11 (define @t438 () (not (= @t140 @t36))) % 1.76/2.11 (define @t439 () (= @t9 @t59)) % 1.76/2.11 (define @t440 () (@list @t25 @t27 @t31)) % 1.76/2.11 (define @t441 () (tptp.c_HOL_Oord__class_Oless @t43 @t242 @t25)) % 1.76/2.11 (define @t442 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t43 @t25))) % 1.76/2.11 (define @t443 () (not @t290)) % 1.76/2.11 (define @t444 () (not @t291)) % 1.76/2.11 (define @t445 () (tptp.c_HOL_Oord__class_Oless @t59 @t235 tptp.tc_nat)) % 1.76/2.11 (define @t446 () (tptp.c_Power_Opower__class_Opower @t27 @t4 @t25)) % 1.76/2.11 (define @t447 () (tptp.c_HOL_Oord__class_Oless @t92 @t446 @t25)) % 1.76/2.11 (define @t448 () (@list @t25 @t31 @t27 @t4)) % 1.76/2.11 (define @t449 () (not @t321)) % 1.76/2.11 (define @t450 () (tptp.hAPP @t35 @t115)) % 1.76/2.11 (define @t451 () (not (tptp.c_lessequals @t450 @t4 tptp.tc_nat))) % 1.76/2.11 (define @t452 () (tptp.c_lessequals @t115 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t453 () (tptp.c_lessequals @t67 @t276 tptp.tc_nat)) % 1.76/2.11 (define @t454 () (tptp.c_lessequals @t67 @t68 tptp.tc_nat)) % 1.76/2.11 (define @t455 () (= @t69 @t67)) % 1.76/2.11 (define @t456 () (@var "V_ts" $$unsorted)) % 1.76/2.11 (define @t457 () (tptp.c_Type_Otyping @t26 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t149 @t456 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t258)) % 1.76/2.11 (define @t458 () (not @t457)) % 1.76/2.11 (define @t459 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t258 @t26 @t149 @t456)) % 1.76/2.11 (define @t460 () (@list @t26 @t456 @t258 @t149)) % 1.76/2.11 (define @t461 () (tptp.c_HOL_Oord__class_Oless @t67 @t67 @t25)) % 1.76/2.11 (define @t462 () (not @t461)) % 1.76/2.11 (define @t463 () (tptp.c_lessequals @t67 @t67 @t25)) % 1.76/2.11 (define @t464 () (@list @t60 @t4)) % 1.76/2.11 (define @t465 () (tptp.c_Lambda_OdB_OVar @t67)) % 1.76/2.11 (define @t466 () (tptp.c_HOL_Oord__class_Oless @t67 @t67 tptp.tc_nat)) % 1.76/2.11 (define @t467 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t60)) % 1.76/2.11 (define @t468 () (tptp.hBOOL (tptp.hAPP @t60 @t258))) % 1.76/2.11 (define @t469 () (tptp.c_Orderings_Oord__class_Omin @t67 @t84 @t25)) % 1.76/2.11 (define @t470 () (tptp.hAPP @t7 @t59)) % 1.76/2.11 (define @t471 () (tptp.hAPP @t470 @t140)) % 1.76/2.11 (define @t472 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t49 @t25))) % 1.76/2.11 (define @t473 () (not (tptp.c_lessequals @t115 @t9 tptp.tc_nat))) % 1.76/2.11 (define @t474 () (not @t452)) % 1.76/2.11 (define @t475 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t476 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t477 () (tptp.c_lessequals @t476 @t475 tptp.tc_nat)) % 1.76/2.11 (define @t478 () (tptp.hAPP @t213 @t115)) % 1.76/2.11 (define @t479 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t480 () (@list @t25 @t31 @t4 @t27)) % 1.76/2.11 (define @t481 () (@var "V_xa" $$unsorted)) % 1.76/2.11 (define @t482 () (tptp.c_HOL_Ominus__class_Ominus @t67 @t67 @t25)) % 1.76/2.11 (define @t483 () (@var "V_y_H" $$unsorted)) % 1.76/2.11 (define @t484 () (@var "V_x_H" $$unsorted)) % 1.76/2.11 (define @t485 () (tptp.c_HOL_Ominus__class_Ominus @t484 @t483 @t25)) % 1.76/2.11 (define @t486 () (not (= @t192 @t191))) % 1.76/2.11 (define @t487 () (tptp.c_HOL_Oord__class_Oless @t188 @t187 tptp.tc_nat)) % 1.76/2.11 (define @t488 () (not @t487)) % 1.76/2.11 (define @t489 () (tptp.c_HOL_Oord__class_Oless @t192 @t191 tptp.tc_nat)) % 1.76/2.11 (define @t490 () (not @t489)) % 1.76/2.11 (define @t491 () (@var "T_b" $$unsorted)) % 1.76/2.11 (define @t492 () (@var "V_f" $$unsorted)) % 1.76/2.11 (define @t493 () (tptp.c_List_Olist_OCons @t67 @t112 @t491)) % 1.76/2.11 (define @t494 () (not @t193)) % 1.76/2.11 (define @t495 () (tptp.c_HOL_Oord__class_Oless @t49 @t43 @t25)) % 1.76/2.11 (define @t496 () (not @t495)) % 1.76/2.11 (define @t497 () (tptp.c_lessequals @t405 @t404 @t25)) % 1.76/2.11 (define @t498 () (not @t497)) % 1.76/2.11 (define @t499 () (@list @t25 @t49 @t31 @t27)) % 1.76/2.11 (define @t500 () (tptp.c_HOL_Oord__class_Oless @t43 @t49 @t25)) % 1.76/2.11 (define @t501 () (not @t500)) % 1.76/2.11 (define @t502 () (tptp.c_lessequals @t55 @t401 @t25)) % 1.76/2.11 (define @t503 () (not (tptp.c_HOL_Oord__class_Oless @t140 @t4 tptp.tc_nat))) % 1.76/2.11 (define @t504 () (not (tptp.c_HOL_Oord__class_Oless @t140 @t9 tptp.tc_nat))) % 1.76/2.11 (define @t505 () (@list @t244 @t243)) % 1.76/2.11 (define @t506 () (tptp.c_HOL_Oord__class_Oless @t67 @t330 @t25)) % 1.76/2.11 (define @t507 () (tptp.c_HOL_Oord__class_Oless @t81 @t107 @t25)) % 1.76/2.11 (define @t508 () (not @t108)) % 1.76/2.11 (define @t509 () (tptp.c_Lambda_OdB_OAbs @t147)) % 1.76/2.11 (define @t510 () (@var "V_ss" $$unsorted)) % 1.76/2.11 (define @t511 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t146 @t510 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.76/2.11 (define @t512 () (@list @t147 @t146 @t510)) % 1.76/2.11 (define @t513 () (not @t445)) % 1.76/2.11 (define @t514 () (tptp.c_HOL_Oord__class_Oless @t250 @t43 @t25)) % 1.76/2.11 (define @t515 () (not (tptp.c_lessequals @t388 @t43 @t25))) % 1.76/2.11 (define @t516 () (tptp.c_List_Olist_OCons @t67 (tptp.c_List_Oappend @t481 @t109 @t25) @t25)) % 1.76/2.11 (define @t517 () (tptp.c_List_Olist_OCons @t67 @t481 @t25)) % 1.76/2.11 (define @t518 () (tptp.c_List_Oappend @t517 @t109 @t25)) % 1.76/2.11 (define @t519 () (tptp.hAPP @t154 @t481)) % 1.76/2.11 (define @t520 () (tptp.hAPP @t154 @t64)) % 1.76/2.11 (define @t521 () (@list @t60 @t155 @t154 @t64)) % 1.76/2.11 (define @t522 () (tptp.c_HOL_Oord__class_Oless @t76 @t67 @t25)) % 1.76/2.11 (define @t523 () (not @t161)) % 1.76/2.11 (define @t524 () (tptp.c_HOL_Oord__class_Oless @t69 @t81 @t25)) % 1.76/2.11 (define @t525 () (tptp.c_HOL_Oord__class_Oless @t43 @t250 @t25)) % 1.76/2.11 (define @t526 () (not (tptp.c_HOL_Oord__class_Oless @t31 @t27 tptp.tc_nat))) % 1.76/2.11 (define @t527 () (tptp.c_lessequals @t27 @t43 @t25)) % 1.76/2.11 (define @t528 () (not @t527)) % 1.76/2.11 (define @t529 () (tptp.c_lessequals @t242 @t43 @t25)) % 1.76/2.11 (define @t530 () (tptp.c_lessequals @t31 @t43 @t25)) % 1.76/2.11 (define @t531 () (not @t530)) % 1.76/2.11 (define @t532 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t25))) % 1.76/2.11 (define @t533 () (not @t410)) % 1.76/2.11 (define @t534 () (tptp.c_lessequals @t67 @t330 @t25)) % 1.76/2.11 (define @t535 () (not @t331)) % 1.76/2.11 (define @t536 () (tptp.c_lessequals @t120 @t2 tptp.tc_nat)) % 1.76/2.11 (define @t537 () (tptp.c_lessequals @t1 @t216 tptp.tc_nat)) % 1.76/2.11 (define @t538 () (@list @t1 @t2 @t115)) % 1.76/2.11 (define @t539 () (@list @t1 @t115 @t2)) % 1.76/2.11 (define @t540 () (tptp.c_List_Olist_ONil @t491)) % 1.76/2.11 (define @t541 () (not (tptp.c_InductTermi_OIT @t149))) % 1.76/2.11 (define @t542 () (tptp.c_Lambda_Olift @t149 @t2)) % 1.76/2.11 (define @t543 () (@list @t149 @t2)) % 1.76/2.11 (define @t544 () (tptp.c_Lambda_OdB_OVar @t4)) % 1.76/2.11 (define @t545 () (@list @t155 @t154 @t64 @t25)) % 1.76/2.11 (define @t546 () (= @t112 @t334)) % 1.76/2.11 (define @t547 () (not (= @t334 @t113))) % 1.76/2.11 (define @t548 () (@list @t25 @t112 @t110)) % 1.76/2.11 (define @t549 () (= @t110 @t334)) % 1.76/2.11 (define @t550 () (@var "V_dB_H" $$unsorted)) % 1.76/2.11 (define @t551 () (tptp.c_Lambda_OdB_OAbs @t550)) % 1.76/2.11 (define @t552 () (tptp.c_lessequals @t14 @t12 tptp.tc_nat)) % 1.76/2.11 (define @t553 () (not @t552)) % 1.76/2.11 (define @t554 () (tptp.c_lessequals @t21 @t4 tptp.tc_nat)) % 1.76/2.11 (define @t555 () (tptp.c_lessequals @t9 @t8 tptp.tc_nat)) % 1.76/2.11 (define @t556 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t25))) % 1.76/2.11 (define @t557 () (not (= @t113 @t334))) % 1.76/2.11 (define @t558 () (@list @t112 @t110 @t25)) % 1.76/2.11 (define @t559 () (@var "V_w" $$unsorted)) % 1.76/2.11 (define @t560 () (= @t559 @t67)) % 1.76/2.11 (define @t561 () (= @t68 @t81)) % 1.76/2.11 (define @t562 () (= @t31 @t27)) % 1.76/2.11 (define @t563 () (= @t49 @t24)) % 1.76/2.11 (define @t564 () (tptp.hAPP @t28 @t55)) % 1.76/2.11 (define @t565 () (tptp.c_HOL_Oord__class_Oless @t4 @t38 tptp.tc_nat)) % 1.76/2.11 (define @t566 () (not @t565)) % 1.76/2.11 (define @t567 () (= @t4 @t9)) % 1.76/2.11 (define @t568 () (tptp.c_HOL_Otimes__class_Otimes @t43 @t43 @t25)) % 1.76/2.11 (define @t569 () (tptp.hAPP (tptp.hAPP @t28 @t568) @t568)) % 1.76/2.11 (define @t570 () (tptp.hAPP @t215 @t120)) % 1.76/2.11 (define @t571 () (tptp.c_HOL_Ominus__class_Ominus @t371 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t572 () (tptp.hAPP (tptp.hAPP @t7 @t120) @t2)) % 1.76/2.11 (define @t573 () (tptp.hAPP @t213 @t2)) % 1.76/2.11 (define @t574 () (tptp.c_HOL_Ominus__class_Ominus @t573 @t115 tptp.tc_nat)) % 1.76/2.11 (define @t575 () (@var "V_ry" $$unsorted)) % 1.76/2.11 (define @t576 () (@var "V_ly" $$unsorted)) % 1.76/2.11 (define @t577 () (@var "V_rx" $$unsorted)) % 1.76/2.11 (define @t578 () (@var "V_lx" $$unsorted)) % 1.76/2.11 (define @t579 () (tptp.c_HOL_Otimes__class_Otimes @t578 @t577 @t25)) % 1.76/2.11 (define @t580 () (tptp.c_HOL_Otimes__class_Otimes @t577 @t575 @t25)) % 1.76/2.11 (define @t581 () (tptp.c_HOL_Otimes__class_Otimes @t578 @t576 @t25)) % 1.76/2.11 (define @t582 () (tptp.c_HOL_Otimes__class_Otimes @t581 @t580 @t25)) % 1.76/2.11 (define @t583 () (@list @t25 @t578 @t576 @t577 @t575)) % 1.76/2.11 (define @t584 () (not (tptp.c_HOL_Oord__class_Oless @t1 @t115 tptp.tc_nat))) % 1.76/2.11 (define @t585 () (tptp.c_Lambda_OdB_OVar @t9)) % 1.76/2.11 (define @t586 () (tptp.hAPP @t155 @t64)) % 1.76/2.11 (define @t587 () (tptp.c_List_Oreplicate @t59 @t67 @t25)) % 1.76/2.11 (define @t588 () (tptp.hAPP @t117 @t2)) % 1.76/2.11 (define @t589 () (@list @t2 @t115)) % 1.76/2.11 (define @t590 () (tptp.c_Lambda_OdB_OAbs @t146)) % 1.76/2.11 (define @t591 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t590) @t149)) % 1.76/2.11 (define @t592 () (@list @t146 @t149)) % 1.76/2.11 (define @t593 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t9 tptp.tc_nat)) % 1.76/2.11 (define @t594 () (@list @t25 @t67 @t112)) % 1.76/2.11 (define @t595 () (tptp.c_List_Oreplicate @t115 @t67 @t25)) % 1.76/2.11 (define @t596 () (tptp.c_lessequals @t87 @t43 @t25)) % 1.76/2.11 (define @t597 () (@var "V_dB2_H" $$unsorted)) % 1.76/2.11 (define @t598 () (@var "V_dB1_H" $$unsorted)) % 1.76/2.11 (define @t599 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t598) @t597)) % 1.76/2.11 (define @t600 () (not (= @t246 @t599))) % 1.76/2.11 (define @t601 () (@list @t244 @t243 @t598 @t597)) % 1.76/2.11 (define @t602 () (tptp.c_HOL_Oord__class_Oless @t130 @t222 @t25)) % 1.76/2.11 (define @t603 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t25))) % 1.76/2.11 (define @t604 () (@var "V_rs" $$unsorted)) % 1.76/2.11 (define @t605 () (= @t604 @t510)) % 1.76/2.11 (define @t606 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t509 @t604 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t590 @t510 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 1.76/2.11 (define @t607 () (@list @t147 @t604 @t146 @t510)) % 1.76/2.11 (define @t608 () (= @t147 @t146)) % 1.76/2.11 (define @t609 () (@var "V_list_H" $$unsorted)) % 1.76/2.11 (define @t610 () (@var "V_a_H" $$unsorted)) % 1.76/2.11 (define @t611 () (tptp.c_List_Olist_OCons @t610 @t609 @t25)) % 1.76/2.12 (define @t612 () (tptp.c_HOL_Oord__class_Oless @t87 @t43 @t25)) % 1.76/2.12 (define @t613 () (tptp.c_HOL_Otimes__class_Otimes @t31 @t31 @t25)) % 1.76/2.12 (define @t614 () (tptp.c_Suc @t115)) % 1.76/2.12 (define @t615 () (tptp.c_HOL_Otimes__class_Otimes @t614 @t4 tptp.tc_nat)) % 1.76/2.12 (define @t616 () (tptp.c_HOL_Otimes__class_Otimes @t614 @t9 tptp.tc_nat)) % 1.76/2.12 (define @t617 () (tptp.c_HOL_Oord__class_Oless @t616 @t615 tptp.tc_nat)) % 1.76/2.12 (define @t618 () (tptp.c_HOL_Oord__class_Oless @t38 @t4 tptp.tc_nat)) % 1.76/2.12 (define @t619 () (= @t27 @t49)) % 1.76/2.12 (define @t620 () (not (= @t250 @t130))) % 1.76/2.12 (define @t621 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t25))) % 1.76/2.12 (define @t622 () (@var "V_xs1" $$unsorted)) % 1.76/2.12 (define @t623 () (tptp.hAPP @t343 @t413)) % 1.76/2.12 (define @t624 () (tptp.hAPP @t343 @t67)) % 1.76/2.12 (define @t625 () (tptp.hAPP @t624 @t68)) % 1.76/2.12 (define @t626 () (tptp.hAPP @t344 @t68)) % 1.76/2.12 (define @t627 () (tptp.hAPP @t626 @t81)) % 1.76/2.12 (define @t628 () (tptp.hAPP @t343 @t68)) % 1.76/2.12 (define @t629 () (tptp.hAPP @t343 @t340)) % 1.76/2.12 (define @t630 () (tptp.hAPP @t343 @t341)) % 1.76/2.12 (define @t631 () (tptp.hAPP @t344 @t67)) % 1.76/2.12 (define @t632 () (tptp.hAPP @t631 @t68)) % 1.76/2.12 (define @t633 () (tptp.hAPP @t344 @t341)) % 1.76/2.12 (define @t634 () (tptp.hAPP @t344 @t31)) % 1.76/2.12 (define @t635 () (tptp.hAPP @t634 @t49)) % 1.76/2.12 (define @t636 () (tptp.hAPP @t344 @t635)) % 1.76/2.12 (define @t637 () (tptp.hAPP @t344 @t49)) % 1.76/2.12 (define @t638 () (tptp.hAPP @t637 @t24)) % 1.76/2.12 (define @t639 () (tptp.hAPP @t634 @t638)) % 1.76/2.12 (define @t640 () (@list @t344 @t31 @t49 @t24 @t343 @t342 @t341 @t340 @t25)) % 1.76/2.12 (define @t641 () (tptp.hAPP @t634 @t27)) % 1.76/2.12 (define @t642 () (tptp.hAPP @t344 @t641)) % 1.76/2.12 (define @t643 () (tptp.hAPP @t642 @t49)) % 1.76/2.12 (define @t644 () (@list @t344 @t31 @t27 @t49 @t343 @t342 @t341 @t340 @t25)) % 1.76/2.12 (define @t645 () (tptp.hAPP @t344 @t27)) % 1.76/2.12 (define @t646 () (tptp.hAPP @t343 @t578)) % 1.76/2.12 (define @t647 () (tptp.hAPP @t343 @t577)) % 1.76/2.12 (define @t648 () (tptp.hAPP @t647 @t575)) % 1.76/2.12 (define @t649 () (tptp.hAPP @t646 @t648)) % 1.76/2.12 (define @t650 () (@list @t343 @t578 @t577 @t575 @t344 @t342 @t341 @t340 @t25)) % 1.76/2.12 (define @t651 () (tptp.hAPP @t343 (tptp.hAPP @t646 @t577))) % 1.76/2.12 (define @t652 () (tptp.hAPP @t343 @t576)) % 1.76/2.12 (define @t653 () (tptp.hAPP @t343 (tptp.hAPP @t646 @t576))) % 1.76/2.12 (define @t654 () (tptp.hAPP @t653 @t577)) % 1.76/2.12 (define @t655 () (@list @t343 @t578 @t576 @t577 @t344 @t342 @t341 @t340 @t25)) % 1.76/2.12 (define @t656 () (tptp.hAPP @t653 @t648)) % 1.76/2.12 (define @t657 () (@list @t343 @t578 @t576 @t577 @t575 @t344 @t342 @t341 @t340 @t25)) % 1.76/2.12 (define @t658 () (tptp.hAPP @t343 @t31)) % 1.76/2.12 (define @t659 () (tptp.hAPP @t343 @t27)) % 1.76/2.12 (define @t660 () (tptp.hAPP @t343 @t641)) % 1.76/2.12 (define @t661 () (tptp.hAPP @t344 @t9)) % 1.76/2.12 (define @t662 () (tptp.hAPP (tptp.hAPP @t343 (tptp.hAPP @t634 @t340)) @t9)) % 1.76/2.12 (define @t663 () (tptp.hAPP @t658 @t9)) % 1.76/2.12 (define @t664 () (tptp.hAPP @t344 @t663)) % 1.76/2.12 (define @t665 () (@var "V_xc" $$unsorted)) % 1.76/2.12 (define @t666 () (tptp.hBOOL (tptp.hAPP @t60 @t586))) % 1.76/2.12 (define @t667 () (@var "V_us" $$unsorted)) % 1.76/2.12 (define @t668 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t181 @t456 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.76/2.12 (define @t669 () (not (tptp.c_Type_Otyping @t26 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t668 @t667 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t258))) % 1.76/2.12 (define @t670 () (@var "V_Ts" $$unsorted)) % 1.76/2.12 (define @t671 () (not (tptp.c_Type_Otypings @t26 @t456 @t670))) % 1.76/2.12 (define @t672 () (@var "V_U" $$unsorted)) % 1.76/2.12 (define @t673 () (not (tptp.c_Type_Otyping @t26 @t668 @t672))) % 1.76/2.12 (define @t674 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t258 @t672 @t26 @t667)) % 1.76/2.12 (define @t675 () (not (= @t36 @t140))) % 1.76/2.12 (define @t676 () (tptp.c_lessequals @t616 @t615 tptp.tc_nat)) % 1.76/2.12 (define @t677 () (tptp.c_HOL_Oord__class_Oless @t43 @t388 @t25)) % 1.76/2.12 (define @t678 () (not (tptp.c_InductTermi_OIT @t147))) % 1.76/2.12 (define @t679 () (not (tptp.c_Lambda_Obeta @t146 @t149))) % 1.76/2.12 (define @t680 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t5)) % 1.76/2.12 (define @t681 () (@list @t150)) % 1.76/2.12 (define @t682 () (@list @t25 @t9)) % 1.76/2.12 (define @t683 () (tptp.c_Orderings_Oord__class_Omax @t68 @t67 @t25)) % 1.76/2.12 (define @t684 () (@list @t64)) % 1.76/2.12 (define @t685 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t9 tptp.tc_nat)) % 1.76/2.12 (define @t686 () (@list @t9)) % 1.76/2.12 (define @t687 () (tptp.c_HOL_Oord__class_Oless @t27 @t31 @t25)) % 1.76/2.12 (define @t688 () (tptp.c_HOL_Ominus__class_Ominus @t4 @t2 tptp.tc_nat)) % 1.76/2.12 (define @t689 () (@list @t4 @t2)) % 1.76/2.12 (define @t690 () (tptp.c_Orderings_Oord__class_Omin @t9 @t4 tptp.tc_nat)) % 1.76/2.12 (define @t691 () (tptp.c_lessequals @t9 @t41 tptp.tc_nat)) % 1.76/2.12 (define @t692 () (tptp.c_HOL_Otimes__class_Otimes @t115 @t1 tptp.tc_nat)) % 1.76/2.12 (define @t693 () (tptp.c_HOL_Otimes__class_Otimes @t115 @t2 tptp.tc_nat)) % 1.76/2.12 (define @t694 () (@list @t115 @t2 @t1)) % 1.76/2.12 (define @t695 () (tptp.c_HOL_Oord__class_Oless @t143 @t142 @t25)) % 1.76/2.12 (define @t696 () (tptp.c_Suc @t2)) % 1.76/2.12 (define @t697 () (tptp.c_lessequals @t130 @t277 @t25)) % 1.76/2.12 (define @t698 () (@list @t25 @t31 @t49 @t27)) % 1.76/2.12 (define @t699 () (tptp.hAPP @t285 @t27)) % 1.76/2.12 (define @t700 () (tptp.c_lessequals @t390 @t699 @t25)) % 1.76/2.12 (define @t701 () (tptp.c_lessequals @t118 @t394 tptp.tc_nat)) % 1.76/2.12 (define @t702 () (@list @t2 @t1)) % 1.76/2.12 (define @t703 () (= (tptp.hAPP @t137 @t97) @t9)) % 1.76/2.12 (define @t704 () (tptp.hAPP @t346 @t208)) % 1.76/2.12 (define @t705 () (tptp.hAPP @t624 @t413)) % 1.76/2.12 (define @t706 () (tptp.c_Power_Opower__class_Opower @t27 @t41 @t25)) % 1.76/2.12 (define @t707 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t25))) % 1.76/2.12 (define @t708 () (tptp.c_HOL_Oord__class_Oless @t43 @t142 @t25)) % 1.76/2.12 (define @t709 () (not @t529)) % 1.76/2.12 (define @t710 () (tptp.c_HOL_Oord__class_Oless @t242 @t43 @t25)) % 1.76/2.12 (define @t711 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t258 @t26 @t149 @t456)) % 1.76/2.12 (define @t712 () (tptp.c_HOL_Oord__class_Oless @t476 @t475 tptp.tc_nat)) % 1.76/2.12 (define @t713 () (not (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat))) % 1.76/2.12 (define @t714 () (tptp.c_Lambda_OdB_OVar @t1)) % 1.76/2.12 (define @t715 () (tptp.c_lessequals @t177 @t43 @t25)) % 1.76/2.12 (define @t716 () (not (tptp.c_lessequals @t49 @t43 @t25))) % 1.76/2.12 (define @t717 () (not (tptp.class_Ring__and__Field_Omult__mono @t25))) % 1.76/2.12 (define @t718 () (tptp.c_List_Oappend @t334 @t299 @t25)) % 1.76/2.12 (define @t719 () (not (= @t388 @t43))) % 1.76/2.12 (define @t720 () (tptp.c_HOL_Oord__class_Oless @t2 @t120 tptp.tc_nat)) % 1.76/2.12 (define @t721 () (tptp.c_HOL_Oord__class_Oless @t216 @t1 tptp.tc_nat)) % 1.76/2.12 (define @t722 () (tptp.c_HOL_Oord__class_Oless @t130 @t277 @t25)) % 1.76/2.12 (define @t723 () (tptp.c_HOL_Oord__class_Oless @t390 @t699 @t25)) % 1.76/2.12 (define @t724 () (tptp.c_HOL_Oord__class_Oless @t118 @t394 tptp.tc_nat)) % 1.76/2.12 (define @t725 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t115 tptp.tc_nat)) % 1.76/2.12 (define @t726 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t115 tptp.tc_nat)) % 1.76/2.12 (define @t727 () (not @t687)) % 1.76/2.12 (define @t728 () (tptp.c_lessequals @t55 @t54 @t25)) % 1.76/2.12 (define @t729 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t25))) % 1.76/2.12 (define @t730 () (tptp.c_Orderings_Oord__class_Omax @t67 @t324 @t25)) % 1.76/2.12 (define @t731 () (tptp.c_Orderings_Oord__class_Omax @t67 @t81 @t25)) % 1.76/2.12 (define @t732 () (tptp.c_List_Oappend @t334 @t334 @t25)) % 1.76/2.12 (define @t733 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t544 @t510 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.76/2.12 (define @t734 () (tptp.c_Lambda_OdB_OAbs @t149)) % 1.76/2.12 (define @t735 () (tptp.c_List_Oreplicate @t2 @t67 @t25)) % 1.76/2.12 (define @t736 () (tptp.c_List_Olist_OCons @t67 @t334 @t25)) % 1.76/2.12 (define @t737 () (tptp.c_lessequals @t43 @t242 @t25)) % 1.76/2.12 (define @t738 () (not @t737)) % 1.76/2.12 (define @t739 () (tptp.c_List_Oappend @t112 @t110 @t491)) % 1.76/2.12 (define @t740 () (tptp.c_HOL_Oord__class_Oless @t38 @t41 tptp.tc_nat)) % 1.76/2.12 (define @t741 () (tptp.c_HOL_Oord__class_Oless @t43 @t177 @t25)) % 1.76/2.12 (define @t742 () (not (tptp.c_Type_Otyping @t26 @t734 @t258))) % 1.76/2.12 (define @t743 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t258 @t26 @t149)) % 1.76/2.12 (define @t744 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t258 @t26 @t149)) % 1.76/2.12 (define @t745 () (= @t31 @t43)) % 1.76/2.12 (define @t746 () (not (= @t92 @t43))) % 1.76/2.12 (define @t747 () (not (tptp.class_Ring__and__Field_Omult__zero @t25))) % 1.76/2.12 (define @t748 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t25))) % 1.76/2.12 (define @t749 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t25))) % 1.76/2.12 (define @t750 () (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t31 @t25) @t43)) % 1.76/2.12 (define @t751 () (= (tptp.c_HOL_Otimes__class_Otimes @t31 @t43 @t25) @t43)) % 1.76/2.12 (define @t752 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t25))) % 1.76/2.12 (define @t753 () (= @t27 @t43)) % 1.76/2.12 (define @t754 () (not (= @t242 @t43))) % 1.76/2.12 (define @t755 () (= @t482 @t43)) % 1.76/2.12 (define @t756 () (tptp.c_HOL_Ominus__class_Ominus @t67 @t68 @t25)) % 1.76/2.12 (define @t757 () (not (= @t87 @t43))) % 1.76/2.12 (define @t758 () (= (tptp.hAPP @t236 @t31) @t31)) % 1.76/2.12 (define @t759 () (= (tptp.hAPP @t129 @t43) @t31)) % 1.76/2.12 (define @t760 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 1.76/2.12 (define @t761 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t59 tptp.tc_nat)) % 1.76/2.12 (define @t762 () (tptp.c_HOL_Otimes__class_Otimes @t59 @t4 tptp.tc_nat)) % 1.76/2.12 (define @t763 () (@list @t356)) % 1.76/2.12 (define @t764 () (not (= @t36 @t59))) % 1.76/2.12 (define @t765 () (@var "V_xb" $$unsorted)) % 1.76/2.12 (define @t766 () (@var "V_list" $$unsorted)) % 1.76/2.12 (define @t767 () (not (= (tptp.c_List_Olist_OCons @t31 @t766 @t25) @t611))) % 1.76/2.12 (define @t768 () (@list @t31 @t766 @t25 @t610 @t609)) % 1.76/2.12 (define @t769 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t585 @t604 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t733))) % 1.76/2.12 (define @t770 () (@list @t9 @t604 @t4 @t510)) % 1.76/2.12 (define @t771 () (not (tptp.c_Type_Otyping @t26 @t668 @t258))) % 1.76/2.12 (define @t772 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t258 @t26 @t2 @t456)) % 1.76/2.12 (define @t773 () (tptp.c_HOL_Oord__class_Oless @t59 @t593 tptp.tc_nat)) % 1.76/2.12 (define @t774 () (tptp.c_Orderings_Oord__class_Omin @t107 @t731 @t25)) % 1.76/2.12 (define @t775 () (tptp.c_Orderings_Oord__class_Omax @t67 @t84 @t25)) % 1.76/2.12 (define @t776 () (tptp.c_lessequals @t483 @t484 @t25)) % 1.76/2.12 (define @t777 () (not (= @t756 @t485))) % 1.76/2.12 (define @t778 () (@list @t25 @t67 @t68 @t484 @t483)) % 1.76/2.12 (define @t779 () (tptp.c_HOL_Oord__class_Oless @t484 @t483 @t25)) % 1.76/2.12 (define @t780 () (not (= (tptp.c_List_Oappend @t112 @t736 @t25) (tptp.c_List_Oappend @t110 (tptp.c_List_Olist_OCons @t68 @t334 @t25) @t25)))) % 1.76/2.12 (define @t781 () (@list @t112 @t67 @t25 @t110 @t68)) % 1.76/2.12 (define @t782 () (tptp.c_lessequals @t41 @t38 tptp.tc_nat)) % 1.76/2.12 (define @t783 () (tptp.c_HOL_Otimes__class_Otimes @t581 @t577 @t25)) % 1.76/2.12 (define @t784 () (@list @t25 @t578 @t576 @t577)) % 1.76/2.12 (define @t785 () (tptp.c_HOL_Otimes__class_Otimes @t578 @t580 @t25)) % 1.76/2.12 (define @t786 () (@list @t25 @t578 @t577 @t575)) % 1.76/2.12 (define @t787 () (= (tptp.c_HOL_Otimes__class_Otimes @t250 @t49 @t25) (tptp.hAPP @t564 @t401))) % 1.76/2.12 (define @t788 () (= @t115 @t59)) % 1.76/2.12 (define @t789 () (@list @t49)) % 1.76/2.12 (define @t790 () (tptp.c_List_Ofoldr @t28 @t112 @t43 @t25 @t25)) % 1.76/2.12 (define @t791 () (tptp.c_Lambda_OdB_OVar @t64)) % 1.76/2.12 (define @t792 () (@var "V_xd" $$unsorted)) % 1.76/2.12 (define @t793 () (@list @t155 @t154 @t151 @t64 @t25)) % 1.76/2.12 (define @t794 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 1.76/2.12 (define @t795 () (not (tptp.c_Type_Otyping @t26 @t149 @t258))) % 1.76/2.12 (define @t796 () (@var "V_t_H" $$unsorted)) % 1.76/2.12 (define @t797 () (@var "V_type2_H" $$unsorted)) % 1.76/2.12 (define @t798 () (@var "V_type1_H" $$unsorted)) % 1.76/2.12 (define @t799 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t798) @t797)) % 1.76/2.12 (define @t800 () (@var "V_T2" $$unsorted)) % 1.76/2.12 (define @t801 () (@var "V_T1" $$unsorted)) % 1.76/2.12 (define @t802 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t801) @t800)) % 1.76/2.12 (define @t803 () (@var "V_T1a" $$unsorted)) % 1.76/2.12 (define @t804 () (@var "V_type2" $$unsorted)) % 1.76/2.12 (define @t805 () (@var "V_type1" $$unsorted)) % 1.76/2.12 (define @t806 () (tptp.hAPP (tptp.hAPP @t154 @t805) @t804)) % 1.76/2.12 (define @t807 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t805) @t804)) % 1.76/2.12 (define @t808 () (@list @t155 @t154 @t805 @t804 @t25)) % 1.76/2.12 (define @t809 () (@var "V_Ta" $$unsorted)) % 1.76/2.12 (define @t810 () (not (tptp.c_InductTermi_OIT @t5))) % 1.76/2.12 (define @t811 () (tptp.c_Lambda_Osubst @t149 @t5 @t2)) % 1.76/2.12 (define @t812 () (tptp.c_InductTermi_OIT @t811)) % 1.76/2.12 (define @t813 () (not (= tptp.v_T____ @t802))) % 1.76/2.12 (define @t814 () (@list @t801 @t800 @t149 @t5 @t2 @t26 @t809)) % 1.76/2.12 (define @t815 () (@list @t26 @t149 @t258 @t456)) % 1.76/2.12 (define @t816 () (= (tptp.c_Power_Opower__class_Opower @t43 @t4 @t25) @t43)) % 1.76/2.12 (define @t817 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 1.76/2.12 (define @t818 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t258) @t672)) % 1.76/2.12 (define @t819 () (@var "V_env" $$unsorted)) % 1.76/2.12 (define @t820 () (@var "V_e_H" $$unsorted)) % 1.76/2.12 (define @t821 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) @t817)) % 1.76/2.12 (define @t822 () (not (= @t807 @t799))) % 1.76/2.12 (define @t823 () (@list @t805 @t804 @t798 @t797)) % 1.76/2.12 (define @t824 () (tptp.hAPP (tptp.c_Type_Oshift @t26 @t67 @t258 @t25) @t67)) % 1.76/2.12 (define @t825 () (forall (@list @t26 @t67 @t258 @t25) (= @t824 @t258))) % 1.76/2.12 (define @t826 () (tptp.c_Lambda_OdB_OVar @t59)) % 1.76/2.12 (define @t827 () (tptp.c_Type_Oshift tptp.v_e____ @t59 @t817 tptp.tc_Type_Otype)) % 1.76/2.12 (define @t828 () (tptp.c_Type_Otyping @t827 @t826 @t817)) % 1.76/2.12 (define @t829 () (@var "T_1" $$unsorted)) % 1.76/2.12 (define @t830 () (@var "T_2" $$unsorted)) % 1.76/2.12 (define @t831 () (tptp.tc_fun @t830 @t829)) % 1.76/2.12 (define @t832 () (@list @t830 @t829)) % 1.76/2.12 (define @t833 () (@var "V_Y" $$unsorted)) % 1.76/2.12 (define @t834 () (@var "V_X" $$unsorted)) % 1.76/2.12 (assume @p1 (forall @t16 (or @t15 (not @t10) @t3))) % 1.76/2.12 (assume @p2 (forall @t18 (or @t10 @t17 @t3))) % 1.76/2.12 (assume @p3 (forall @t16 (or @t15 (not @t22) @t19))) % 1.76/2.12 (assume @p4 (forall @t23 (or @t22 @t17 @t19))) % 1.76/2.12 (assume @p5 (forall (@list @t25 @t31 @t26 @t27 @t24) (or @t34 (= (tptp.hAPP @t33 @t32) @t30)))) % 1.76/2.12 (assume @p6 (forall @t40 (= @t39 @t37))) % 1.76/2.12 (assume @p7 (forall @t40 (= @t42 @t37))) % 1.76/2.12 (assume @p8 (forall @t46 (or @t45 @t44 (= (tptp.c_Power_Opower__class_Opower @t43 @t41 @t25) @t43)))) % 1.76/2.12 (assume @p9 (forall @t58 (or @t57 @t56 @t53 @t52 @t50 @t48))) % 1.76/2.12 (assume @p10 (forall @t66 (or @t65 (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Suc @t63)))) @t62))) % 1.76/2.12 (assume @p11 (forall @t71 (or @t70 (tptp.c_lessequals @t69 @t67 @t25)))) % 1.76/2.12 (assume @p12 (forall @t71 (or @t70 (tptp.c_lessequals @t69 @t68 @t25)))) % 1.76/2.12 (assume @p13 (forall @t78 (or @t70 @t77 @t75 @t73))) % 1.76/2.12 (assume @p14 (forall @t86 (or @t70 @t85 @t83 @t80))) % 1.76/2.12 (assume @p15 (forall (@list @t25 @t31 @t26 @t49 @t27) (or @t34 (= @t89 (tptp.hAPP @t29 @t88))))) % 1.76/2.12 (assume @p16 (forall @t94 (or @t93 (tptp.c_lessequals @t43 @t92 @t25) @t91))) % 1.76/2.12 (assume @p17 (forall @t40 (or @t98 @t96))) % 1.76/2.12 (assume @p18 (forall @t40 (or @t99 @t95))) % 1.76/2.12 (assume @p19 (forall @t86 (or @t102 (= (tptp.c_HOL_Ominus__class_Ominus @t69 @t81 @t25) (tptp.c_Orderings_Oord__class_Omin @t101 @t100 @t25))))) % 1.76/2.12 (assume @p20 (forall @t86 (or @t70 @t108 @t106 @t104))) % 1.76/2.12 (assume @p21 (forall @t114 (or (not (= @t113 (tptp.c_List_Oappend @t112 @t109 @t25))) @t111))) % 1.76/2.12 (assume @p22 (forall (@list @t110 @t112 @t25 @t109) (or (not (= (tptp.c_List_Oappend @t110 @t112 @t25) (tptp.c_List_Oappend @t109 @t112 @t25))) @t111))) % 1.76/2.12 (assume @p23 (forall (@list @t1 @t115 @t9) (or (= (tptp.c_HOL_Ominus__class_Ominus @t121 @t9 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t119 @t118 tptp.tc_nat)) @t116))) % 1.76/2.12 (assume @p24 (forall @t125 (or @t124 @t122))) % 1.76/2.12 (assume @p25 (forall @t134 (or @t133 @t132 @t131 @t128 @t127))) % 1.76/2.12 (assume @p26 (forall @t139 (or (tptp.c_HOL_Oord__class_Oless @t9 @t138 tptp.tc_nat) @t96 @t136))) % 1.76/2.12 (assume @p27 (= @t141 @t140)) % 1.76/2.12 (assume @p28 (forall @t145 (or @t93 @t95 (not @t144)))) % 1.76/2.12 (assume @p29 (forall @t145 (or @t93 @t144 @t96))) % 1.76/2.12 (assume @p30 (forall (@list @t147 @t149 @t2 @t146) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t147 @t149 @t2) (tptp.c_Lambda_Osubst @t146 @t149 @t2)) @t148))) % 1.76/2.12 (assume @p31 (forall @t156 (= (tptp.c_Lambda_OdB_OdB__case @t155 @t154 @t151 @t153 @t25) @t152))) % 1.76/2.12 (assume @p32 (forall @t162 (or @t70 @t161 @t160 @t158))) % 1.76/2.12 (assume @p33 (forall @t165 (= (tptp.hAPP (tptp.hAPP @t7 @t163) @t164) (tptp.hAPP (tptp.hAPP @t7 @t164) @t163)))) % 1.76/2.12 (assume @p34 (forall (@list @t67 @t49 @t24) (= (tptp.hAPP (tptp.hAPP @t7 @t166) @t167) (tptp.hAPP (tptp.hAPP @t7 @t167) @t166)))) % 1.76/2.12 (assume @p35 (forall (@list @t25 @t67 @t49 @t24) (or @t171 @t170 (= (tptp.hAPP (tptp.hAPP @t28 @t168) @t169) (tptp.hAPP (tptp.hAPP @t28 @t169) @t168))))) % 1.76/2.12 (assume @p36 (forall @t86 (or @t171 @t170 (= @t174 (tptp.hAPP (tptp.hAPP @t28 @t173) @t172))))) % 1.76/2.12 (assume @p37 (forall @t40 (= (tptp.c_Orderings_Oord__class_Omax @t38 @t41 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t9 @t4 tptp.tc_nat))))) % 1.76/2.12 (assume @p38 (forall @t176 (or @t175 (not (tptp.c_HOL_Oord__class_Oless @t4 @t140 tptp.tc_nat))))) % 1.76/2.12 (assume @p39 (forall @t180 (or @t179 @t90 (not @t178)))) % 1.76/2.12 (assume @p40 (forall @t180 (or @t179 @t178 @t91))) % 1.76/2.12 (assume @p41 (forall @t71 (or @t70 (= (tptp.c_Orderings_Oord__class_Omin @t67 @t69 @t25) @t69)))) % 1.76/2.12 (assume @p42 (forall (@list @t2 @t146 @t115) (or (= (tptp.c_Lambda_Osubst @t181 @t146 @t115) @t181) (= @t2 @t115) (tptp.c_HOL_Oord__class_Oless @t115 @t2 tptp.tc_nat)))) % 1.76/2.12 (assume @p43 (forall @t16 (or (= @t182 (tptp.c_HOL_Ominus__class_Ominus @t9 @t8 tptp.tc_nat)) @t3))) % 1.76/2.12 (assume @p44 (forall @t16 (or (= @t182 (tptp.c_HOL_Ominus__class_Ominus @t21 @t4 tptp.tc_nat)) @t19))) % 1.76/2.12 (assume @p45 (forall @t184 (or @t183 (= (tptp.hAPP (tptp.hAPP @t28 @t87) @t27) @t31)))) % 1.76/2.12 (assume @p46 (forall (@list @t60 @t27 @t67) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t186 @t67) @t27 tptp.tc_nat)))) @t185))) % 1.76/2.12 (assume @p47 (forall (@list @t60 @t27 @t24) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t186 @t24) @t27 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t60 @t24))))) % 1.76/2.12 (assume @p48 (forall @t190 (or @t189 @t135))) % 1.76/2.12 (assume @p49 (forall @t194 (or @t193 @t135))) % 1.76/2.12 (assume @p50 (forall @t200 (or @t199 (= (tptp.c_Power_Opower__class_Opower @t198 @t195 @t25) (tptp.c_Power_Opower__class_Opower @t67 @t197 @t25))))) % 1.76/2.12 (assume @p51 (forall @t66 (or @t65 (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Suc @t201)))) @t62))) % 1.76/2.12 (assume @p52 (forall @t94 (or @t204 (= @t203 @t202)))) % 1.76/2.12 (assume @p53 (forall @t94 (or @t44 (= @t203 @t205)))) % 1.76/2.12 (assume @p54 (forall (@list @t25 @t67 @t4) (or @t199 (= (tptp.c_Power_Opower__class_Opower @t67 @t41 @t25) (tptp.c_HOL_Otimes__class_Otimes @t67 (tptp.c_Power_Opower__class_Opower @t67 @t4 @t25) @t25))))) % 1.76/2.12 (assume @p55 (forall @t210 (or @t199 (= @t209 @t207)))) % 1.76/2.12 (assume @p56 (forall @t217 (or (tptp.c_lessequals @t216 @t214 tptp.tc_nat) @t212 @t3))) % 1.76/2.12 (assume @p57 (forall @t58 (or @t223 (tptp.c_lessequals @t130 @t222 @t25) @t220 @t219))) % 1.76/2.12 (assume @p58 (forall @t40 (or @t224 @t96))) % 1.76/2.12 (assume @p59 (forall @t40 (or @t95 @t225))) % 1.76/2.12 (assume @p60 (forall @t229 (or (not @t228) @t227))) % 1.76/2.12 (assume @p61 (forall @t233 (or @t232 (= @t231 @t230)))) % 1.76/2.12 (assume @p62 (forall @t71 (or @t199 (= @t172 (tptp.c_HOL_Otimes__class_Otimes @t68 @t67 @t25))))) % 1.76/2.12 (assume @p63 (forall @t40 (= @t235 @t234))) % 1.76/2.12 (assume @p64 (forall @t240 (or @t239 @t238 @t238 @t237))) % 1.76/2.12 (assume @p65 (forall @t184 (or @t199 (= @t242 @t241)))) % 1.76/2.12 (assume @p66 (forall @t40 (tptp.c_HOL_Oord__class_Oless @t97 @t38 tptp.tc_nat))) % 1.76/2.12 (assume @p67 (forall @t247 (= (tptp.c_Lambda_OdB_OdB__case @t155 @t154 @t151 @t246 @t25) @t245))) % 1.76/2.12 (assume @p68 (forall @t184 (or @t239 (tptp.c_lessequals @t43 @t250 @t25) @t249 @t91))) % 1.76/2.12 (assume @p69 (forall @t254 (or @t253 @t103 @t106 @t252))) % 1.76/2.12 (assume @p70 (forall @t162 (or @t257 @t157 @t160 @t256))) % 1.76/2.12 (assume @p71 (forall (@list @t26 @t5 @t258 @t149) (or (tptp.c_Type_Otyping @t26 @t5 @t262) @t261))) % 1.76/2.12 (assume @p72 (forall @t71 (or @t70 @t263 @t80))) % 1.76/2.12 (assume @p73 (forall @t71 (or @t70 (not @t263) @t79))) % 1.76/2.12 (assume @p74 (forall @t71 (or @t70 (= @t107 @t67) @t265))) % 1.76/2.12 (assume @p75 (forall @t86 (or @t199 (= @t270 (tptp.hAPP (tptp.hAPP @t28 @t267) @t81))))) % 1.76/2.12 (assume @p76 (forall @t86 (or @t272 (= @t270 (tptp.hAPP @t268 @t271))))) % 1.76/2.12 (assume @p77 (forall @t165 (= (tptp.hAPP @t273 @t276) (tptp.hAPP @t275 @t274)))) % 1.76/2.12 (assume @p78 (forall @t139 (= (tptp.hAPP (tptp.hAPP @t7 @t36) @t115) (tptp.hAPP @t35 @t138)))) % 1.76/2.12 (assume @p79 (forall @t282 (or @t132 @t281))) % 1.76/2.12 (assume @p80 (forall @t282 (or @t132 (= @t278 (tptp.hAPP @t221 @t130))))) % 1.76/2.12 (assume @p81 (forall @t282 (or @t283 @t281))) % 1.76/2.12 (assume @p82 (forall @t288 (or @t199 (= @t287 (tptp.hAPP @t284 @t24))))) % 1.76/2.12 (assume @p83 (forall @t282 (or @t199 (= @t280 (tptp.hAPP @t284 @t27))))) % 1.76/2.12 (assume @p84 (forall @t288 (or @t199 (= @t287 (tptp.hAPP @t285 (tptp.hAPP @t129 @t24)))))) % 1.76/2.12 (assume @p85 (forall @t282 (or @t199 @t281))) % 1.76/2.12 (assume @p86 (forall @t292 (or @t291 @t290 (not @t289)))) % 1.76/2.12 (assume @p87 (forall @t294 (or @t204 (= (tptp.c_Power_Opower__class_Opower @t31 @t36 @t25) (tptp.c_HOL_Otimes__class_Otimes @t293 @t92 @t25))))) % 1.76/2.12 (assume @p88 (forall @t292 (or @t297 @t296))) % 1.76/2.12 (assume @p89 (forall @t40 (or @t298 @t296))) % 1.76/2.12 (assume @p90 (forall @t300 (= (tptp.c_List_Odrop @t59 @t299 @t25) @t299))) % 1.76/2.12 (assume @p91 (forall @t302 (= (tptp.c_List_Oreplicate @t41 @t67 @t25) (tptp.c_List_Olist_OCons @t67 @t301 @t25)))) % 1.76/2.12 (assume @p92 (forall (@list @t25 @t67 @t68 @t81 @t5) (or @t272 (not (= @t270 (tptp.hAPP @t268 @t5))) (= @t271 @t5)))) % 1.76/2.12 (assume @p93 (forall @t304 (or (tptp.c_lessequals @t2 @t303 tptp.tc_nat) @t3))) % 1.76/2.12 (assume @p94 (forall @t306 (or (tptp.c_lessequals @t2 @t305 tptp.tc_nat) @t3))) % 1.76/2.12 (assume @p95 (forall @t308 (or @t34 @t307 (= @t49 @t32)))) % 1.76/2.12 (assume @p96 (forall @t308 (or @t34 @t307 (= @t88 @t24)))) % 1.76/2.12 (assume @p97 (forall (@list @t60 @t4 @t67) (or @t311 @t185 (not (tptp.c_HOL_Oord__class_Oless @t67 @t309 tptp.tc_nat)) @t62))) % 1.76/2.12 (assume @p98 (forall @t312 (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_Suc (tptp.hAPP @t215 @t9)) tptp.tc_nat))) % 1.76/2.12 (assume @p99 (forall @t312 (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_Suc (tptp.hAPP @t35 @t2)) tptp.tc_nat))) % 1.76/2.12 (assume @p100 (forall @t314 (tptp.c_HOL_Oord__class_Oless @t9 (tptp.c_Suc @t313) tptp.tc_nat))) % 1.76/2.12 (assume @p101 (forall @t317 (or @t316 (not @t315) @t116))) % 1.76/2.12 (assume @p102 (forall @t318 (or @t315 (not @t316) @t116))) % 1.76/2.12 (assume @p103 (forall @t86 (or @t70 @t321 @t320 @t83))) % 1.76/2.12 (assume @p104 (forall @t325 (or @t70 (tptp.c_lessequals @t324 @t67 @t25) @t323 @t265))) % 1.76/2.12 (assume @p105 (forall @t332 (or @t70 @t331 @t329 @t327))) % 1.76/2.12 (assume @p106 (forall @t71 (or @t70 (tptp.c_lessequals @t67 @t107 @t25)))) % 1.76/2.12 (assume @p107 (forall @t333 (or @t70 (tptp.c_lessequals @t68 @t107 @t25)))) % 1.76/2.12 (assume @p108 (forall @t336 (= @t335 @t112))) % 1.76/2.12 (assume @p109 (forall @t337 (= @t67 (tptp.c_List_Oappend @t334 @t67 @t25)))) % 1.76/2.12 (assume @p110 (forall @t336 (= @t112 @t335))) % 1.76/2.12 (assume @p111 (forall (@list @t25 @t110) (= @t338 @t110))) % 1.76/2.12 (assume @p112 (forall (@list @t110 @t25) (= @t110 @t338))) % 1.76/2.12 (assume @p113 (forall @t339 (or (not (tptp.class_Orderings_Obot @t25)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t25) @t67 @t25)))) % 1.76/2.12 (assume @p114 (forall (@list @t342 @t67 @t196 @t195 @t344 @t343 @t341 @t340 @t25) (or (= (tptp.hAPP (tptp.hAPP @t342 @t347) @t195) (tptp.hAPP @t346 @t197)) @t345))) % 1.76/2.12 (assume @p115 (forall @t325 (or @t70 (= (tptp.c_Orderings_Oord__class_Omin @t324 @t67 @t25) (tptp.c_Orderings_Oord__class_Omax @t348 (tptp.c_Orderings_Oord__class_Omin @t81 @t67 @t25) @t25))))) % 1.76/2.12 (assume @p116 (forall @t86 (or @t70 (= @t351 @t350)))) % 1.76/2.12 (assume @p117 (forall @t134 (or @t133 @t132 @t352 @t128 @t91))) % 1.76/2.12 (assume @p118 (forall @t134 (or @t133 @t132 @t352 @t354 @t53))) % 1.76/2.12 (assume @p119 (forall @t66 (or @t65 (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Suc @t355)))) @t62))) % 1.76/2.12 (assume @p120 (forall @t359 (or (not (= @t358 (tptp.c_Type_Otype_OAtom @t356))) @t357))) % 1.76/2.12 (assume @p121 (forall @t66 (or @t65 (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Suc @t360)))) @t62))) % 1.76/2.12 (assume @p122 (forall @t40 (or @t363 @t362))) % 1.76/2.12 (assume @p123 (forall @t40 (or @t361 @t364))) % 1.76/2.12 (assume @p124 (forall @t292 (or @t366 (not @t365)))) % 1.76/2.12 (assume @p125 (forall @t292 (or @t365 @t367))) % 1.76/2.12 (assume @p126 (forall @t165 (or @t370 @t369))) % 1.76/2.12 (assume @p127 (forall @t165 (or @t370 (not (tptp.c_HOL_Oord__class_Oless @t67 @t81 tptp.tc_nat))))) % 1.76/2.12 (assume @p128 (forall @t317 (or @t372 (not (tptp.c_HOL_Oord__class_Oless @t371 @t115 tptp.tc_nat))))) % 1.76/2.12 (assume @p129 (forall @t306 (or (tptp.c_HOL_Oord__class_Oless @t2 @t305 tptp.tc_nat) @t373))) % 1.76/2.12 (assume @p130 (forall @t304 (or (tptp.c_HOL_Oord__class_Oless @t2 @t303 tptp.tc_nat) @t373))) % 1.76/2.12 (assume @p131 (forall @t308 (or @t376 @t375 (not @t374)))) % 1.76/2.12 (assume @p132 (forall @t378 (or @t376 @t374 @t377))) % 1.76/2.12 (assume @p133 (forall @t308 (or @t376 @t375 (not @t379)))) % 1.76/2.12 (assume @p134 (forall @t380 (or @t376 @t379 @t377))) % 1.76/2.12 (assume @p135 (forall @t40 (or (= @t383 (tptp.c_Suc @t97)) @t382))) % 1.76/2.12 (assume @p136 (forall (@list @t146 @t149 @t115) (= (tptp.c_Lambda_Olift @t386 @t115) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t146 @t115)) @t384)))) % 1.76/2.12 (assume @p137 (forall @t71 (or @t389 (tptp.c_lessequals @t43 @t388 @t25)))) % 1.76/2.12 (assume @p138 (forall (@list @t25 @t31 @t49) (or @t199 (= @t130 @t390)))) % 1.76/2.12 (assume @p139 (forall @t184 (or @t132 (= @t250 @t391)))) % 1.76/2.12 (assume @p140 (forall @t40 (= @t36 @t392))) % 1.76/2.12 (assume @p141 (forall (@list @t9 @t211 @t115 @t4) (or (not (= (tptp.hAPP @t35 @t211) @t394)) @t393 @t361))) % 1.76/2.12 (assume @p142 (forall @t71 (or @t199 (= @t267 (tptp.hAPP @t268 @t67))))) % 1.76/2.12 (assume @p143 (forall @t40 (or @t396 @t395))) % 1.76/2.12 (assume @p144 (forall @t40 (or @t396 @t397))) % 1.76/2.12 (assume @p145 (forall (@list @t25 @t67 @t68 @t109) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t25)) (= (tptp.c_List_Ofoldl @t28 @t267 @t109 @t25 @t25) (tptp.hAPP @t266 (tptp.c_List_Ofoldl @t28 @t68 @t109 @t25 @t25)))))) % 1.76/2.12 (assume @p146 (forall @t400 (or (tptp.c_HOL_Oord__class_Oless @t399 @t398 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t9 @t211 tptp.tc_nat)) @t362))) % 1.76/2.12 (assume @p147 (forall @t145 (or (not (tptp.class_Nat_Osemiring__char__0 @t25)) (not (= @t143 @t142)) @t122))) % 1.76/2.12 (assume @p148 (forall @t282 (or @t57 @t47 @t53 @t403))) % 1.76/2.12 (assume @p149 (forall @t282 (or @t57 @t47 @t53 @t407))) % 1.76/2.12 (assume @p150 (forall @t282 (or @t408 @t47 @t53 @t403))) % 1.76/2.12 (assume @p151 (forall @t282 (or @t408 @t47 @t53 @t407))) % 1.76/2.12 (assume @p152 (forall @t94 (or @t204 (= @t202 @t205)))) % 1.76/2.12 (assume @p153 (forall @t411 (or @t70 @t410 @t322 (not @t409)))) % 1.76/2.12 (assume @p154 (forall @t200 (or @t199 (= (tptp.c_HOL_Otimes__class_Otimes @t198 @t206 @t25) (tptp.c_Power_Opower__class_Opower @t67 @t412 @t25))))) % 1.76/2.12 (assume @p155 (forall (@list @t4 @t25) (= (tptp.c_List_Odrop @t4 @t334 @t25) @t334))) % 1.76/2.12 (assume @p156 (forall (@list @t343 @t342 @t67 @t196 @t195 @t344 @t341 @t340 @t25) (or (= (tptp.hAPP (tptp.hAPP @t343 @t347) @t413) (tptp.hAPP @t346 @t412)) @t345))) % 1.76/2.12 (assume @p157 (forall (@list @t1 @t2 @t5 @t9) (or @t19 (= @t14 (tptp.hAPP @t11 @t21))))) % 1.76/2.12 (assume @p158 (forall @t254 (or @t70 @t82 @t414))) % 1.76/2.12 (assume @p159 (forall @t86 (or @t70 @t79 @t414))) % 1.76/2.12 (assume @p160 (forall @t86 (or @t70 @t415 @t320))) % 1.76/2.12 (assume @p161 (forall @t86 (or @t70 @t415 @t83))) % 1.76/2.12 (assume @p162 (forall @t332 (or @t70 @t416 @t329))) % 1.76/2.12 (assume @p163 (forall @t332 (or @t70 @t416 @t327))) % 1.76/2.12 (assume @p164 (forall (@list @t25 @t67 @t27 @t31) (or @t70 @t74 @t417))) % 1.76/2.12 (assume @p165 (forall @t78 (or @t70 @t72 @t417))) % 1.76/2.12 (assume @p166 (forall @t71 (or @t239 @t421 @t420 @t419 @t418))) % 1.76/2.12 (assume @p167 (forall @t71 (or @t239 @t421 @t420 @t419 @t422))) % 1.76/2.12 (assume @p168 (forall @t424 (or (not (= @t226 (tptp.c_Suc @t68))) @t423))) % 1.76/2.12 (assume @p169 (forall @t359 (or (not (= @t426 @t425)) @t357))) % 1.76/2.12 (assume @p170 (forall (@list @t25 @t112 @t31) (or @t283 (= (tptp.c_List_Ofoldr @t28 @t112 @t31 @t25 @t25) @t427)))) % 1.76/2.12 (assume @p171 (forall @t308 (or @t376 @t429 (not @t428)))) % 1.76/2.12 (assume @p172 (forall @t378 (or @t376 @t428 @t430))) % 1.76/2.12 (assume @p173 (forall @t308 (or @t376 @t429 (not @t431)))) % 1.76/2.12 (assume @p174 (forall @t380 (or @t376 @t431 @t430))) % 1.76/2.12 (assume @p175 (= tptp.v_n____ tptp.v_i____)) % 1.76/2.12 (assume @p176 (forall @t16 (or @t432 @t19 (= @t21 @t4)))) % 1.76/2.12 (assume @p177 (forall @t16 (or @t432 @t3 (= @t9 @t8)))) % 1.76/2.12 (assume @p178 (forall @t325 (or @t70 @t319 @t82 (not @t415)))) % 1.76/2.12 (assume @p179 (forall (@list @t2 @t1 @t5 @t4) (or @t3 (= (tptp.hAPP @t13 @t8) @t12)))) % 1.76/2.12 (assume @p180 (tptp.c_HOL_Oord__class_Oless @t59 @t140 tptp.tc_nat)) % 1.76/2.12 (assume @p181 (forall @t180 (or @t179 @t435 @t434))) % 1.76/2.12 (assume @p182 (forall @t180 (or @t179 @t433 @t436))) % 1.76/2.12 (assume @p183 (forall @t180 (or @t437 @t433 @t436))) % 1.76/2.12 (assume @p184 (forall @t180 (or @t437 @t435 @t434))) % 1.76/2.12 (assume @p185 (forall @t40 (or @t438 @t397 @t395))) % 1.76/2.12 (assume @p186 (forall @t40 (or @t438 @t439 @t175))) % 1.76/2.12 (assume @p187 (forall @t440 (or @t57 @t51 @t127 (not (tptp.c_HOL_Oord__class_Oless @t43 @t241 @t25))))) % 1.76/2.12 (assume @p188 (forall @t440 (or @t57 @t51 @t127 (not @t441)))) % 1.76/2.12 (assume @p189 (forall @t184 (or @t57 @t441 @t52 @t127))) % 1.76/2.12 (assume @p190 (forall @t184 (or @t389 @t441 @t442 @t434))) % 1.76/2.12 (assume @p191 (forall @t40 (or @t445 @t444 @t443))) % 1.76/2.12 (assume @p192 (forall @t448 (or @t93 @t47 @t249 (not @t447)))) % 1.76/2.12 (assume @p193 (forall (@list @t25 @t67 @t109) (or @t232 (= (tptp.hAPP @t266 (tptp.c_List_Ofoldl @t28 @t43 @t109 @t25 @t25)) (tptp.c_List_Ofoldl @t28 @t67 @t109 @t25 @t25))))) % 1.76/2.12 (assume @p194 (forall @t325 (or @t70 @t319 @t449))) % 1.76/2.12 (assume @p195 (forall (@list @t115 @t4 @t9) (or @t452 @t451))) % 1.76/2.12 (assume @p196 (forall @t139 (or @t95 @t451))) % 1.76/2.12 (assume @p197 (forall @t165 (or @t453 (not (tptp.c_lessequals @t67 @t81 tptp.tc_nat))))) % 1.76/2.12 (assume @p198 (forall @t165 (or @t453 (not @t454)))) % 1.76/2.12 (assume @p199 (forall @t71 (or @t70 @t455 @t80))) % 1.76/2.12 (assume @p200 (forall @t71 (or @t70 (not @t455) @t79))) % 1.76/2.12 (assume @p201 (forall @t71 (or @t70 (= @t69 @t68) @t265))) % 1.76/2.12 (assume @p202 (forall @t86 (or @t102 (= (tptp.c_HOL_Ominus__class_Ominus @t107 @t81 @t25) (tptp.c_Orderings_Oord__class_Omax @t101 @t100 @t25))))) % 1.76/2.12 (assume @p203 (forall @t460 (or (tptp.c_Type_Otypings @t26 @t456 @t459) @t458))) % 1.76/2.12 (assume @p204 (forall @t71 (or @t70 @t251 @t264))) % 1.76/2.12 (assume @p205 (forall @t339 (or @t70 (not @t463) @t462))) % 1.76/2.12 (assume @p206 (forall @t339 (or @t70 @t461 @t463))) % 1.76/2.12 (assume @p207 (forall @t71 (or @t70 @t252 @t265))) % 1.76/2.12 (assume @p208 (forall @t333 (or @t70 @t264 @t251))) % 1.76/2.12 (assume @p209 (forall @t71 (or @t70 @t80 @t256))) % 1.76/2.12 (assume @p210 (forall @t333 (or @t70 @t255 @t79))) % 1.76/2.12 (assume @p211 (forall @t333 (or @t253 @t265 @t252))) % 1.76/2.12 (assume @p212 (forall @t464 (or @t311 (tptp.c_HOL_Oord__class_Oless @t59 @t309 tptp.tc_nat) @t62))) % 1.76/2.12 (assume @p213 (forall (@list @t67 @t146) (or @t466 (= (tptp.c_Lambda_Osubst @t465 @t146 @t67) @t146)))) % 1.76/2.12 (assume @p214 (forall (@list @t60 @t258) (or @t468 (not (tptp.hBOOL (tptp.hAPP @t60 @t467)))))) % 1.76/2.12 (assume @p215 (forall @t86 (or @t70 (= (tptp.c_Orderings_Oord__class_Omin @t69 @t81 @t25) @t469)))) % 1.76/2.12 (assume @p216 (forall @t86 (or @t70 (= @t469 (tptp.c_Orderings_Oord__class_Omin @t68 @t349 @t25))))) % 1.76/2.12 (assume @p217 (= @t140 @t471)) % 1.76/2.12 (assume @p218 (forall @t134 (or @t133 @t132 @t131 @t472 @t91))) % 1.76/2.12 (assume @p219 (forall @t400 (or (tptp.c_lessequals @t399 @t398 tptp.tc_nat) @t96))) % 1.76/2.12 (assume @p220 (forall (@list @t9 @t211 @t4) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t9 @t211 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t4 @t211 tptp.tc_nat) tptp.tc_nat) @t96))) % 1.76/2.12 (assume @p221 (forall @t190 (or @t477 @t96 @t474 @t473))) % 1.76/2.12 (assume @p222 (forall @t139 (or @t95 (not @t477) @t474 @t473))) % 1.76/2.12 (assume @p223 (forall @t292 (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t392 tptp.tc_nat) @t59))) % 1.76/2.12 (assume @p224 (forall @t318 (= @t479 (tptp.c_HOL_Ominus__class_Ominus @t2 @t478 tptp.tc_nat)))) % 1.76/2.12 (assume @p225 (forall @t480 (or @t93 (tptp.c_lessequals @t92 @t446 @t25) @t91 @t219))) % 1.76/2.12 (assume @p226 (forall (@list @t25 @t481 @t68 @t67) (or @t272 (not (= (tptp.c_HOL_Ominus__class_Ominus @t481 @t68 @t25) @t482)) (= @t481 @t68)))) % 1.76/2.12 (assume @p227 (forall (@list @t25 @t67 @t484 @t483) (or @t272 (not (= @t482 @t485)) (= @t484 @t483)))) % 1.76/2.12 (assume @p228 (forall @t190 (or (not (= @t476 @t475)) @t474 @t473 @t122))) % 1.76/2.12 (assume @p229 (forall @t71 (or @t70 (= (tptp.c_Orderings_Oord__class_Omin @t67 @t107 @t25) @t67)))) % 1.76/2.12 (assume @p230 (forall @t194 (or @t486 @t136 @t122))) % 1.76/2.12 (assume @p231 (forall @t40 (or @t438 @t397 @t175))) % 1.76/2.12 (assume @p232 (forall @t40 (or @t438 @t439 @t395))) % 1.76/2.12 (assume @p233 (forall @t194 (or @t135 @t488))) % 1.76/2.12 (assume @p234 (forall @t194 (or @t135 @t490))) % 1.76/2.12 (assume @p235 (forall (@list @t492 @t31 @t67 @t112 @t491 @t25) (= (tptp.c_List_Ofoldl @t492 @t31 @t493 @t25 @t491) (tptp.c_List_Ofoldl @t492 (tptp.hAPP (tptp.hAPP @t492 @t31) @t67) @t112 @t25 @t491)))) % 1.76/2.12 (assume @p236 (forall @t40 (= @t39 @t42))) % 1.76/2.12 (assume @p237 (forall (@list @t4 @t67 @t112 @t25) (= (tptp.c_List_Odrop @t41 @t299 @t25) (tptp.c_List_Odrop @t4 @t112 @t25)))) % 1.76/2.12 (assume @p238 (forall @t139 (or @t95 @t136 (not @t189)))) % 1.76/2.12 (assume @p239 (forall @t139 (or @t95 @t136 @t494))) % 1.76/2.12 (assume @p240 (forall @t139 (or @t95 @t494 @t136))) % 1.76/2.12 (assume @p241 (forall @t194 (or @t193 @t96 @t136))) % 1.76/2.12 (assume @p242 (forall @t134 (or @t389 @t353 @t498 @t496))) % 1.76/2.12 (assume @p243 (forall @t499 (or @t389 @t497 @t354 @t496))) % 1.76/2.12 (assume @p244 (forall @t282 (or @t389 @t218 @t498 @t501))) % 1.76/2.12 (assume @p245 (forall @t499 (or @t389 @t497 @t219 @t501))) % 1.76/2.12 (assume @p246 (forall @t282 (or @t57 @t218 @t501 @t498))) % 1.76/2.12 (assume @p247 (forall @t282 (or @t57 @t218 @t501 (not @t502)))) % 1.76/2.12 (assume @p248 (forall @t40 (or (tptp.c_HOL_Oord__class_Oless @t140 @t235 tptp.tc_nat) @t504 @t503))) % 1.76/2.12 (assume @p249 (forall @t190 (= (tptp.c_HOL_Ominus__class_Ominus @t450 @t138 tptp.tc_nat) @t97))) % 1.76/2.12 (assume @p250 (forall @t194 (= (tptp.c_HOL_Ominus__class_Ominus @t118 @t394 tptp.tc_nat) @t97))) % 1.76/2.12 (assume @p251 (forall @t176 (tptp.c_HOL_Oord__class_Oless @t59 @t41 tptp.tc_nat))) % 1.76/2.12 (assume @p252 (forall @t229 (tptp.c_HOL_Oord__class_Oless @t59 @t226 tptp.tc_nat))) % 1.76/2.12 (assume @p253 (forall @t505 (= (tptp.c_Nat_Osize__class_Osize @t246 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t7 (tptp.hAPP (tptp.hAPP @t7 (tptp.c_Nat_Osize__class_Osize @t244 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t243 tptp.tc_Lambda_OdB))) @t140)))) % 1.76/2.12 (assume @p254 (forall @t78 (or @t70 @t506 (not (tptp.c_HOL_Oord__class_Oless @t67 @t31 @t25))))) % 1.76/2.12 (assume @p255 (forall @t78 (or @t70 @t506 (not (tptp.c_HOL_Oord__class_Oless @t67 @t27 @t25))))) % 1.76/2.12 (assume @p256 (forall @t162 (or @t70 @t507 @t158))) % 1.76/2.12 (assume @p257 (forall @t162 (or @t70 @t507 @t160))) % 1.76/2.12 (assume @p258 (forall @t254 (or @t70 @t103 @t508))) % 1.76/2.12 (assume @p259 (forall @t325 (or @t70 @t105 @t508))) % 1.76/2.12 (assume @p260 (forall @t240 (or @t232 (= (tptp.c_List_Olistsum @t334 @t25) @t43)))) % 1.76/2.12 (assume @p261 (forall @t71 (or @t70 (= @t69 @t348)))) % 1.76/2.12 (assume @p262 (forall (@list @t2 @t5 @t1 @t115) (= (tptp.hAPP @t13 (tptp.hAPP @t11 @t115)) (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t371 @t5 tptp.tc_nat)) @t115)))) % 1.76/2.12 (assume @p263 (forall (@list @t25 @t31 @t26 @t27 @t49) (or (not (tptp.class_Ring__and__Field_Osemiring @t25)) (= (tptp.hAPP @t33 (tptp.hAPP @t29 @t49)) (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t250 @t26 @t25)) @t49))))) % 1.76/2.12 (assume @p264 (forall @t40 (tptp.c_lessequals @t97 @t9 tptp.tc_nat))) % 1.76/2.12 (assume @p265 (forall @t512 (or (not (= @t509 @t511)) (= @t509 @t146)))) % 1.76/2.12 (assume @p266 (forall @t292 (or @t291 @t513))) % 1.76/2.12 (assume @p267 (forall @t40 (or @t290 @t513))) % 1.76/2.12 (assume @p268 (forall @t184 (or @t239 @t514 @t442 @t434))) % 1.76/2.12 (assume @p269 (forall @t480 (or @t93 @t447 @t444 @t91 @t48))) % 1.76/2.12 (assume @p270 (forall @t71 (or @t389 @t422 @t515))) % 1.76/2.12 (assume @p271 (forall @t333 (or @t389 @t418 @t515))) % 1.76/2.12 (assume @p272 (forall (@list @t67 @t481 @t25 @t109) (= @t518 @t516))) % 1.76/2.12 (assume @p273 (forall (@list @t67 @t112 @t25 @t110) (= (tptp.c_List_Oappend @t299 @t110 @t25) (tptp.c_List_Olist_OCons @t67 @t113 @t25)))) % 1.76/2.12 (assume @p274 (forall (@list @t60 @t155 @t154 @t481) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Nat_Onat_Onat__case @t155 @t154 (tptp.c_Suc @t481) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 @t519))))) % 1.76/2.12 (assume @p275 (forall @t521 (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Nat_Onat_Onat__case @t155 @t154 @t426 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 @t520))))) % 1.76/2.12 (assume @p276 (forall @t194 (= (tptp.c_HOL_Otimes__class_Otimes @t115 @t97 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t192 @t191 tptp.tc_nat)))) % 1.76/2.12 (assume @p277 (forall @t139 (= (tptp.c_HOL_Otimes__class_Otimes @t97 @t115 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t188 @t187 tptp.tc_nat)))) % 1.76/2.12 (assume @p278 (forall @t332 (or @t70 @t522 (not (tptp.c_HOL_Oord__class_Oless @t31 @t67 @t25))))) % 1.76/2.12 (assume @p279 (forall @t332 (or @t70 @t522 (not (tptp.c_HOL_Oord__class_Oless @t27 @t67 @t25))))) % 1.76/2.12 (assume @p280 (forall @t162 (or @t70 @t157 @t523))) % 1.76/2.12 (assume @p281 (forall @t411 (or @t70 @t159 @t523))) % 1.76/2.12 (assume @p282 (forall @t86 (or @t70 @t524 @t104))) % 1.76/2.12 (assume @p283 (forall @t86 (or @t70 @t524 @t106))) % 1.76/2.12 (assume @p284 (forall @t190 (or (= (tptp.c_HOL_Ominus__class_Ominus @t476 @t475 tptp.tc_nat) @t97) @t474 @t473))) % 1.76/2.12 (assume @p285 (forall @t318 (= @t479 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t2 @t115 tptp.tc_nat) @t1 tptp.tc_nat)))) % 1.76/2.12 (assume @p286 (forall @t184 (or @t239 @t525 @t52 @t91))) % 1.76/2.12 (assume @p287 (forall @t184 (or @t239 @t525 @t249 @t127))) % 1.76/2.12 (assume @p288 (forall (@list @t31 @t49 @t27) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t31 @t49 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t27 @t49 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t49 @t31 tptp.tc_nat)) @t526))) % 1.76/2.12 (assume @p289 (forall @t184 (or @t389 @t529 @t528 @t91))) % 1.76/2.12 (assume @p290 (forall @t184 (or @t389 @t529 @t249 @t531))) % 1.76/2.12 (assume @p291 (forall @t184 (or @t532 @t529 @t528 @t91))) % 1.76/2.12 (assume @p292 (forall @t184 (or @t532 @t529 @t249 @t531))) % 1.76/2.12 (assume @p293 (forall @t254 (or @t70 @t82 @t449))) % 1.76/2.12 (assume @p294 (forall @t162 (or @t70 @t409 @t533))) % 1.76/2.12 (assume @p295 (forall @t162 (or @t70 @t409 @t323))) % 1.76/2.12 (assume @p296 (forall @t78 (or @t70 @t534 @t75))) % 1.76/2.12 (assume @p297 (forall @t78 (or @t70 @t534 @t73))) % 1.76/2.12 (assume @p298 (forall (@list @t25 @t27 @t67 @t31) (or @t70 @t328 @t535))) % 1.76/2.12 (assume @p299 (forall (@list @t25 @t31 @t67 @t27) (or @t70 @t326 @t535))) % 1.76/2.12 (assume @p300 (forall @t538 (or @t537 (not @t536)))) % 1.76/2.12 (assume @p301 (forall @t539 (or @t536 (not @t537)))) % 1.76/2.12 (assume @p302 (forall @t94 (or @t93 (tptp.c_HOL_Oord__class_Oless @t43 @t92 @t25) @t127))) % 1.76/2.12 (assume @p303 (forall @t411 (or @t70 @t159 @t157 (not @t507)))) % 1.76/2.12 (assume @p304 (forall @t40 (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t41 tptp.tc_nat) (tptp.hAPP @t35 @t235)))) % 1.76/2.12 (assume @p305 (forall @t40 (= (tptp.c_HOL_Otimes__class_Otimes @t38 @t4 tptp.tc_nat) (tptp.hAPP @t137 @t235)))) % 1.76/2.12 (assume @p306 (forall @t512 (or (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t509) @t146) @t510 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.c_InductTermi_OIT @t146)) (not (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t147 @t146 @t59) @t510 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))) % 1.76/2.12 (assume @p307 (forall (@list @t492 @t31 @t491 @t25) (= (tptp.c_List_Ofoldl @t492 @t31 @t540 @t25 @t491) @t31))) % 1.76/2.12 (assume @p308 (forall @t543 (or (tptp.c_InductTermi_OIT @t542) @t541))) % 1.76/2.12 (assume @p309 (forall (@list @t4 @t456 @t147 @t510) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t544 @t456 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t509 @t510 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 1.76/2.12 (assume @p310 (forall @t545 (= (tptp.c_Nat_Onat_Onat__case @t155 @t154 @t426 @t25) @t520))) % 1.76/2.12 (assume @p311 (forall @t548 (or @t547 @t546))) % 1.76/2.12 (assume @p312 (forall @t548 (or @t547 @t549))) % 1.76/2.12 (assume @p313 (forall (@list @t150 @t550) (or (not (= @t153 @t551)) (= @t150 @t550)))) % 1.76/2.12 (assume @p314 (forall @t71 (or @t389 (not (tptp.c_HOL_Oord__class_Oless @t388 @t43 @t25))))) % 1.76/2.12 (assume @p315 (forall @t23 (or @t554 @t553 @t19))) % 1.76/2.12 (assume @p316 (forall @t16 (or @t552 (not @t554) @t19))) % 1.76/2.12 (assume @p317 (forall @t18 (or @t555 @t553 @t3))) % 1.76/2.12 (assume @p318 (forall @t16 (or @t552 (not @t555) @t3))) % 1.76/2.12 (assume @p319 (forall @t145 (or @t556 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t235 @t25) (tptp.c_HOL_Otimes__class_Otimes @t143 @t142 @t25))))) % 1.76/2.12 (assume @p320 (forall @t558 (or @t557 @t546))) % 1.76/2.12 (assume @p321 (forall @t558 (or @t557 @t549))) % 1.76/2.12 (assume @p322 (forall @t325 (or @t70 @t105 @t103 (not @t524)))) % 1.76/2.12 (assume @p323 (forall (@list @t25 @t559 @t68 @t67 @t81) (or @t171 @t170 (not (= (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t559 @t68 @t25)) @t173) (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t559 @t81 @t25)) @t172))) @t561 @t560))) % 1.76/2.12 (assume @p324 (forall @t58 (or @t171 @t170 (not (= (tptp.hAPP @t564 @t54) (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t31 @t24 @t25)) @t401))) @t563 @t562))) % 1.76/2.12 (assume @p325 (forall (@list @t31 @t49 @t27 @t24) (or (not (= (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t31 @t49 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t27 @t24 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t31 @t24 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t27 @t49 tptp.tc_nat)))) @t563 @t562))) % 1.76/2.12 (assume @p326 (forall (@list @t559 @t68 @t67 @t81) (or (not (= (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t559 @t68 tptp.tc_nat)) @t164) (tptp.hAPP (tptp.hAPP @t7 (tptp.c_HOL_Otimes__class_Otimes @t559 @t81 tptp.tc_nat)) @t163))) @t561 @t560))) % 1.76/2.12 (assume @p327 (forall @t40 (= (tptp.c_HOL_Ominus__class_Ominus @t38 @t41 tptp.tc_nat) @t97))) % 1.76/2.12 (assume @p328 (forall @t184 (or @t239 @t514 @t442 @t531))) % 1.76/2.12 (assume @p329 (forall @t184 (or @t239 @t514 @t528 @t434))) % 1.76/2.12 (assume @p330 (forall @t40 (or @t122 @t361 @t225))) % 1.76/2.12 (assume @p331 (forall @t40 (or @t122 @t566 @t365))) % 1.76/2.12 (assume @p332 (forall @t292 (or @t567 @t566 @t365))) % 1.76/2.12 (assume @p333 (forall @t240 (or @t389 (tptp.c_lessequals @t569 @t43 @t25)))) % 1.76/2.12 (assume @p334 (forall @t318 (or (= @t571 @t570) @t116))) % 1.76/2.12 (assume @p335 (forall @t538 (or (= @t574 @t572) @t116))) % 1.76/2.12 (assume @p336 (= (tptp.c_HOL_Otimes__class_Otimes @t140 @t140 tptp.tc_nat) @t140)) % 1.76/2.12 (assume @p337 (forall @t583 (or @t199 (= @t582 (tptp.c_HOL_Otimes__class_Otimes @t579 (tptp.c_HOL_Otimes__class_Otimes @t576 @t575 @t25) @t25))))) % 1.76/2.12 (assume @p338 (forall @t583 (or @t199 (= @t582 (tptp.c_HOL_Otimes__class_Otimes @t578 (tptp.c_HOL_Otimes__class_Otimes @t576 @t580 @t25) @t25))))) % 1.76/2.12 (assume @p339 (forall @t583 (or @t199 (= @t582 (tptp.c_HOL_Otimes__class_Otimes @t577 (tptp.c_HOL_Otimes__class_Otimes @t581 @t575 @t25) @t25))))) % 1.76/2.12 (assume @p340 (forall @t318 (or (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t120 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t216 @t1 tptp.tc_nat)) @t116))) % 1.76/2.12 (assume @p341 (forall (@list @t1 @t4 @t115) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t1 @t4 tptp.tc_nat) @t115 tptp.tc_nat) @t584))) % 1.76/2.12 (assume @p342 (forall (@list @t9 @t146 @t510) (or (not (= @t585 @t511)) (= @t585 @t146)))) % 1.76/2.12 (assume @p343 (forall @t545 (= (tptp.c_Type_Otype_Otype__rec @t155 @t154 @t358 @t25) @t586))) % 1.76/2.12 (assume @p344 (forall (@list @t147 @t510 @t146) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t147 @t510 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t511) @t148))) % 1.76/2.12 (assume @p345 (forall @t339 (= @t334 @t587))) % 1.76/2.12 (assume @p346 (= @t140 @t141)) % 1.76/2.12 (assume @p347 (forall @t71 (or @t253 @t251 @t264 @t80))) % 1.76/2.12 (assume @p348 (forall @t229 (not @t466))) % 1.76/2.12 (assume @p349 (forall @t176 (not (tptp.c_HOL_Oord__class_Oless @t4 @t4 tptp.tc_nat)))) % 1.76/2.12 (assume @p350 (forall @t339 (or @t257 @t462))) % 1.76/2.12 (assume @p351 (forall @t339 (or @t70 @t462))) % 1.76/2.12 (assume @p352 (forall @t339 (or @t253 @t462))) % 1.76/2.12 (assume @p353 (forall @t589 (or (not (tptp.c_lessequals @t2 @t588 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t588 @t2 tptp.tc_nat) @t115)))) % 1.76/2.12 (assume @p354 (forall @t339 (or @t70 (= (tptp.c_Orderings_Oord__class_Omin @t67 @t67 @t25) @t67)))) % 1.76/2.12 (assume @p355 (forall @t592 (tptp.c_Lambda_Obeta @t591 (tptp.c_Lambda_Osubst @t146 @t149 @t59)))) % 1.76/2.12 (assume @p356 (forall @t184 (or @t239 @t525 @t52 @t127))) % 1.76/2.12 (assume @p357 (forall @t292 (tptp.c_lessequals @t4 @t392 tptp.tc_nat))) % 1.76/2.12 (assume @p358 (forall @t292 (tptp.c_lessequals @t4 @t36 tptp.tc_nat))) % 1.76/2.12 (assume @p359 (forall @t314 (tptp.c_lessequals @t9 @t313 tptp.tc_nat))) % 1.76/2.12 (assume @p360 (forall @t292 (= (tptp.hAPP (tptp.hAPP @t7 @t593) @t9) (tptp.c_Orderings_Oord__class_Omax @t4 @t9 tptp.tc_nat)))) % 1.76/2.12 (assume @p361 (forall @t594 (or @t232 (= (tptp.c_List_Olistsum @t299 @t25) (tptp.hAPP @t266 @t231))))) % 1.76/2.12 (assume @p362 (forall @t333 (or @t437 @t255 @t251 @t423))) % 1.76/2.12 (assume @p363 (forall @t71 (or @t70 @t423 @t255 @t251))) % 1.76/2.12 (assume @p364 (forall @t40 (or @t122 @t382 @t96))) % 1.76/2.12 (assume @p365 (forall @t292 (or @t365 @t361 @t122))) % 1.76/2.12 (assume @p366 (forall (@list @t60 @t4 @t9) (or (tptp.hBOOL (tptp.hAPP @t310 @t9)) @t365 @t122 @t361))) % 1.76/2.12 (assume @p367 (forall (@list @t68 @t67) (or (tptp.c_HOL_Oord__class_Oless @t68 @t67 tptp.tc_nat) @t368 @t423))) % 1.76/2.12 (assume @p368 (forall @t71 (or @t257 @t423 @t265 @t80))) % 1.76/2.12 (assume @p369 (forall @t333 (or @t70 @t255 @t251 @t423))) % 1.76/2.12 (assume @p370 (forall @t71 (or @t257 @t423 @t80 @t265))) % 1.76/2.12 (assume @p371 (forall (@list @t4 @t67 @t25 @t115) (= (tptp.c_List_Oappend @t301 @t595 @t25) (tptp.c_List_Oappend @t595 @t301 @t25)))) % 1.76/2.12 (assume @p372 (forall @t333 (or @t70 @t255 @t423 @t251))) % 1.76/2.12 (assume @p373 (forall @t71 (or @t70 @t423 @t251 @t255))) % 1.76/2.12 (assume @p374 (forall @t184 (or @t102 @t218 (not @t596)))) % 1.76/2.12 (assume @p375 (forall @t184 (or @t102 @t596 @t219))) % 1.76/2.12 (assume @p376 (forall @t339 (or @t70 (= (tptp.c_Orderings_Oord__class_Omax @t67 @t67 @t25) @t67)))) % 1.76/2.12 (assume @p377 (forall @t601 (or @t600 (= @t243 @t597)))) % 1.76/2.12 (assume @p378 (forall @t601 (or @t600 (= @t244 @t598)))) % 1.76/2.12 (assume @p379 (forall @t58 (or @t603 @t602 @t50 @t48))) % 1.76/2.12 (assume @p380 (forall @t217 (or (tptp.c_HOL_Oord__class_Oless @t216 @t214 tptp.tc_nat) @t393 @t373))) % 1.76/2.12 (assume @p381 (forall @t424 (or @t454 @t369))) % 1.76/2.12 (assume @p382 (forall @t40 (or @t95 @t362))) % 1.76/2.12 (assume @p383 (forall @t71 (or @t257 @t79 @t252))) % 1.76/2.12 (assume @p384 (forall @t71 (or @t253 @t79 @t252))) % 1.76/2.12 (assume @p385 (forall @t607 (or @t606 @t605))) % 1.76/2.12 (assume @p386 (forall @t607 (or @t606 @t608))) % 1.76/2.12 (assume @p387 (forall (@list @t146 @t510 @t147) (or (not (= @t511 @t509)) (= @t146 @t509)))) % 1.76/2.12 (assume @p388 (forall (@list @t25 @t610 @t609) (not (= @t334 @t611)))) % 1.76/2.12 (assume @p389 (forall (@list @t9 @t1 @t115) (or (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t121 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t450 @t119 tptp.tc_nat)) @t116))) % 1.76/2.12 (assume @p390 (forall @t184 (or @t102 @t47 (not @t612)))) % 1.76/2.12 (assume @p391 (forall @t184 (or @t102 @t612 @t48))) % 1.76/2.12 (assume @p392 (forall @t440 (or @t532 (tptp.c_lessequals @t241 @t43 @t25) @t528 @t91))) % 1.76/2.12 (assume @p393 (forall @t180 (or @t389 (not (tptp.c_HOL_Oord__class_Oless @t613 @t43 @t25))))) % 1.76/2.12 (assume @p394 (forall @t247 (= (tptp.c_Lambda_OdB_OdB__rec @t155 @t154 @t151 @t246 @t25) (tptp.hAPP (tptp.hAPP @t245 (tptp.c_Lambda_OdB_OdB__rec @t155 @t154 @t151 @t244 @t25)) (tptp.c_Lambda_OdB_OdB__rec @t155 @t154 @t151 @t243 @t25))))) % 1.76/2.12 (assume @p395 (forall @t194 (or @t617 @t362))) % 1.76/2.12 (assume @p396 (forall @t139 (or @t361 (not @t617)))) % 1.76/2.12 (assume @p397 (forall @t40 (or @t618 (= @t38 @t4) @t362))) % 1.76/2.12 (assume @p398 (forall @t40 (or @t96 @t367))) % 1.76/2.12 (assume @p399 (forall @t292 (or @t366 @t95))) % 1.76/2.12 (assume @p400 (forall @t165 (or (not (= (tptp.hAPP @t273 @t68) @t274)) @t561))) % 1.76/2.12 (assume @p401 (forall @t190 (or (not (= @t450 @t138)) @t122))) % 1.76/2.12 (assume @p402 (forall @t194 (or (not (= @t118 @t394)) @t122))) % 1.76/2.12 (assume @p403 (forall @t86 (or @t171 @t170 (not (= @t267 @t271)) @t561))) % 1.76/2.12 (assume @p404 (forall @t282 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t25)) @t620 @t619))) % 1.76/2.12 (assume @p405 (forall @t282 (or @t621 @t620 @t619))) % 1.76/2.12 (assume @p406 (forall @t134 (or @t621 (not (= @t391 @t390)) @t619))) % 1.76/2.12 (assume @p407 (forall (@list @t67 @t481 @t109 @t25) (= @t516 @t518))) % 1.76/2.12 (assume @p408 (forall (@list @t67 @t622 @t109 @t25) (= (tptp.c_List_Olist_OCons @t67 (tptp.c_List_Oappend @t622 @t109 @t25) @t25) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t67 @t622 @t25) @t109 @t25)))) % 1.76/2.12 (assume @p409 (forall @t86 (or @t133 (= (tptp.hAPP (tptp.hAPP @t28 @t69) @t81) (tptp.c_Orderings_Oord__class_Omin @t271 @t269 @t25))))) % 1.76/2.12 (assume @p410 (forall @t139 (or (tptp.c_lessequals @t9 (tptp.c_HOL_Ominus__class_Ominus @t392 @t115 tptp.tc_nat) tptp.tc_nat) @t474))) % 1.76/2.12 (assume @p411 (forall (@list @t67 @t481 @t25) (not (= @t517 @t334)))) % 1.76/2.12 (assume @p412 (forall (@list @t610 @t609 @t25) (not (= @t611 @t334)))) % 1.76/2.12 (assume @p413 (forall (@list @t342 @t343 @t67 @t68 @t195 @t344 @t341 @t340 @t25) (or (= (tptp.hAPP (tptp.hAPP @t342 @t625) @t195) (tptp.hAPP @t623 (tptp.hAPP (tptp.hAPP @t342 @t68) @t195))) @t345))) % 1.76/2.12 (assume @p414 (forall (@list @t343 @t67 @t344 @t68 @t81 @t342 @t341 @t340 @t25) (or (= (tptp.hAPP @t624 @t627) (tptp.hAPP (tptp.hAPP @t344 @t625) (tptp.hAPP @t624 @t81))) @t345))) % 1.76/2.12 (assume @p415 (forall (@list @t343 @t67 @t68 @t344 @t342 @t341 @t340 @t25) (or (= @t625 (tptp.hAPP @t628 @t67)) @t345))) % 1.76/2.12 (assume @p416 (forall (@list @t343 @t67 @t68 @t81 @t344 @t342 @t341 @t340 @t25) (or (= (tptp.hAPP @t624 (tptp.hAPP @t628 @t81)) (tptp.hAPP (tptp.hAPP @t343 @t625) @t81)) @t345))) % 1.76/2.12 (assume @p417 (forall (@list @t343 @t340 @t67 @t344 @t342 @t341 @t25) (or (= (tptp.hAPP @t629 @t67) @t67) @t345))) % 1.76/2.12 (assume @p418 (forall (@list @t343 @t341 @t67 @t344 @t342 @t340 @t25) (or (= (tptp.hAPP @t630 @t67) @t341) @t345))) % 1.76/2.12 (assume @p419 (forall (@list @t344 @t67 @t68 @t343 @t342 @t341 @t340 @t25) (or (= @t632 (tptp.hAPP @t626 @t67)) @t345))) % 1.76/2.12 (assume @p420 (forall (@list @t344 @t67 @t68 @t81 @t343 @t342 @t341 @t340 @t25) (or (= (tptp.hAPP @t631 @t627) (tptp.hAPP (tptp.hAPP @t344 @t632) @t81)) @t345))) % 1.76/2.12 (assume @p421 (forall (@list @t344 @t341 @t67 @t343 @t342 @t340 @t25) (or (= (tptp.hAPP @t633 @t67) @t67) @t345))) % 1.76/2.12 (assume @p422 (forall @t640 (or (= @t639 (tptp.hAPP @t636 @t24)) @t345))) % 1.76/2.12 (assume @p423 (forall (@list @t344 @t31 @t49 @t343 @t342 @t341 @t340 @t25) (or (= @t635 (tptp.hAPP @t637 @t31)) @t345))) % 1.76/2.12 (assume @p424 (forall @t644 (or (= @t643 (tptp.hAPP @t636 @t27)) @t345))) % 1.76/2.12 (assume @p425 (forall @t640 (or (= @t639 (tptp.hAPP @t637 (tptp.hAPP @t634 @t24))) @t345))) % 1.76/2.12 (assume @p426 (forall @t644 (or (= @t643 (tptp.hAPP @t634 (tptp.hAPP @t645 @t49))) @t345))) % 1.76/2.12 (assume @p427 (forall (@list @t344 @t31 @t27 @t49 @t24 @t343 @t342 @t341 @t340 @t25) (or (= (tptp.hAPP @t642 @t638) (tptp.hAPP @t636 (tptp.hAPP @t645 @t24))) @t345))) % 1.76/2.12 (assume @p428 (forall @t650 (or (= @t649 (tptp.hAPP @t647 (tptp.hAPP @t646 @t575))) @t345))) % 1.76/2.12 (assume @p429 (forall @t650 (or (= @t649 (tptp.hAPP @t651 @t575)) @t345))) % 1.76/2.12 (assume @p430 (forall @t655 (or (= @t654 (tptp.hAPP @t646 (tptp.hAPP @t652 @t577))) @t345))) % 1.76/2.12 (assume @p431 (forall @t655 (or (= @t654 (tptp.hAPP @t651 @t576)) @t345))) % 1.76/2.12 (assume @p432 (forall @t657 (or (= @t656 (tptp.hAPP @t647 (tptp.hAPP @t653 @t575))) @t345))) % 1.76/2.12 (assume @p433 (forall @t657 (or (= @t656 (tptp.hAPP @t646 (tptp.hAPP @t652 @t648))) @t345))) % 1.76/2.12 (assume @p434 (forall @t657 (or (= @t656 (tptp.hAPP @t651 (tptp.hAPP @t652 @t575))) @t345))) % 1.76/2.12 (assume @p435 (forall (@list @t343 @t31 @t340 @t344 @t342 @t341 @t25) (or (= (tptp.hAPP @t658 @t340) @t31) @t345))) % 1.76/2.12 (assume @p436 (forall (@list @t343 @t340 @t31 @t344 @t342 @t341 @t25) (or (= (tptp.hAPP @t629 @t31) @t31) @t345))) % 1.76/2.12 (assume @p437 (forall (@list @t343 @t31 @t341 @t344 @t342 @t340 @t25) (or (= (tptp.hAPP @t658 @t341) @t341) @t345))) % 1.76/2.12 (assume @p438 (forall (@list @t343 @t341 @t31 @t344 @t342 @t340 @t25) (or (= (tptp.hAPP @t630 @t31) @t341) @t345))) % 1.76/2.12 (assume @p439 (forall (@list @t343 @t344 @t31 @t27 @t49 @t342 @t341 @t340 @t25) (or (= (tptp.hAPP @t660 @t49) (tptp.hAPP (tptp.hAPP @t344 (tptp.hAPP @t658 @t49)) (tptp.hAPP @t659 @t49))) @t345))) % 1.76/2.12 (assume @p440 (forall (@list @t343 @t31 @t27 @t344 @t342 @t341 @t340 @t25) (or (= (tptp.hAPP @t658 @t27) (tptp.hAPP @t659 @t31)) @t345))) % 1.76/2.12 (assume @p441 (forall (@list @t344 @t31 @t341 @t343 @t342 @t340 @t25) (or (= (tptp.hAPP @t634 @t341) @t31) @t345))) % 1.76/2.12 (assume @p442 (forall (@list @t344 @t341 @t31 @t343 @t342 @t340 @t25) (or (= (tptp.hAPP @t633 @t31) @t31) @t345))) % 1.76/2.12 (assume @p443 (forall (@list @t344 @t9 @t343 @t340 @t342 @t341 @t25) (or (= (tptp.hAPP @t661 @t9) (tptp.hAPP (tptp.hAPP @t343 (tptp.hAPP (tptp.hAPP @t344 @t340) @t340)) @t9)) @t345))) % 1.76/2.12 (assume @p444 (forall (@list @t344 @t9 @t343 @t31 @t340 @t342 @t341 @t25) (or (= (tptp.hAPP @t661 @t663) @t662) @t345))) % 1.76/2.12 (assume @p445 (forall (@list @t344 @t343 @t31 @t9 @t340 @t342 @t341 @t25) (or (= (tptp.hAPP @t664 @t9) @t662) @t345))) % 1.76/2.12 (assume @p446 (forall (@list @t344 @t343 @t31 @t9 @t27 @t342 @t341 @t340 @t25) (or (= (tptp.hAPP @t664 (tptp.hAPP @t659 @t9)) (tptp.hAPP @t660 @t9)) @t345))) % 1.76/2.12 (assume @p447 (forall (@list @t60 @t155 @t154 @t665) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Type_Otype_Otype__case @t155 @t154 (tptp.c_Type_Otype_OAtom @t665) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t155 @t665)))))) % 1.76/2.12 (assume @p448 (forall @t521 (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Type_Otype_Otype__case @t155 @t154 @t358 tptp.t_a)))) @t666))) % 1.76/2.12 (assume @p449 (forall (@list @t147 @t456 @t146) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t147 @t456 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t146 @t456 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t608))) % 1.76/2.12 (assume @p450 (forall (@list @t26 @t667 @t258 @t672 @t2 @t456 @t670) (or (tptp.c_Type_Otypings @t26 @t667 @t674) @t673 @t671 @t669))) % 1.76/2.12 (assume @p451 (forall @t40 (or @t675 @t397 @t175))) % 1.76/2.12 (assume @p452 (forall @t40 (or @t675 @t439 @t395))) % 1.76/2.12 (assume @p453 (forall @t139 (= (tptp.c_HOL_Ominus__class_Ominus @t383 @t614 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t97 @t115 tptp.tc_nat)))) % 1.76/2.12 (assume @p454 (forall @t194 (or @t676 @t96))) % 1.76/2.12 (assume @p455 (forall @t139 (or @t95 (not @t676)))) % 1.76/2.12 (assume @p456 (forall @t71 (or @t389 @t677 @t422))) % 1.76/2.12 (assume @p457 (forall @t71 (or @t389 @t677 @t418))) % 1.76/2.12 (assume @p458 (forall (@list @t147) (or (tptp.c_InductTermi_OIT @t509) @t678))) % 1.76/2.12 (assume @p459 (forall (@list @t25 @t31 @t27 @t49 @t24) (or @t199 (= (tptp.hAPP @t279 @t286) (tptp.hAPP @t284 @t222))))) % 1.76/2.12 (assume @p460 (forall (@list @t5 @t146 @t149) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t680 @t146) (tptp.hAPP @t680 @t149)) @t679))) % 1.76/2.12 (assume @p461 (forall (@list @t146 @t5 @t149) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t385 @t5) @t260) @t679))) % 1.76/2.12 (assume @p462 (forall @t681 (= (tptp.c_Nat_Osize__class_Osize @t153 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t7 (tptp.c_Nat_Osize__class_Osize @t150 tptp.tc_Lambda_OdB)) @t140)))) % 1.76/2.12 (assume @p463 (forall @t682 (or @t93 (not (tptp.c_HOL_Oord__class_Oless @t143 @t43 @t25))))) % 1.76/2.12 (assume @p464 (forall @t71 (or @t70 (= @t107 @t683)))) % 1.76/2.12 (assume @p465 (tptp.c_InductTermi_OIT tptp.v_u____)) % 1.76/2.12 (assume @p466 (forall @t480 (or @t93 (not (= @t92 @t446)) @t562 @t444 @t249 @t91))) % 1.76/2.12 (assume @p467 (forall @t176 (tptp.c_lessequals @t41 @t41 tptp.tc_nat))) % 1.76/2.12 (assume @p468 (forall (@list @t2 @t115 @t67 @t25) (= (tptp.c_List_Odrop @t2 @t595 @t25) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t115 @t2 tptp.tc_nat) @t67 @t25)))) % 1.76/2.12 (assume @p469 (forall @t86 (or @t70 (tptp.c_lessequals @t350 @t351 @t25)))) % 1.76/2.12 (assume @p470 (forall @t337 (= @t587 @t334))) % 1.76/2.12 (assume @p471 (forall @t684 (= (tptp.c_nat_Onat__size @t426) (tptp.hAPP (tptp.hAPP @t7 (tptp.c_nat_Onat__size @t64)) @t140)))) % 1.76/2.12 (assume @p472 (forall @t71 (or @t70 (= (tptp.c_Orderings_Oord__class_Omax @t67 @t69 @t25) @t67)))) % 1.76/2.12 (assume @p473 (forall @t686 (tptp.c_lessequals @t9 @t685 tptp.tc_nat))) % 1.76/2.12 (assume @p474 (forall (@list @t149 @t115 @t146) (= (tptp.c_Lambda_Osubst @t384 @t146 @t115) @t149))) % 1.76/2.12 (assume @p475 (forall @t499 (or @t389 @t495 @t500 @t407))) % 1.76/2.12 (assume @p476 (forall @t134 (or @t389 @t687 @t47 @t407))) % 1.76/2.12 (assume @p477 (forall @t499 (or @t389 @t495 @t500 @t403))) % 1.76/2.12 (assume @p478 (forall @t134 (or @t389 @t687 @t47 @t403))) % 1.76/2.12 (assume @p479 (forall @t689 (or (= (tptp.c_HOL_Ominus__class_Ominus @t4 @t688 tptp.tc_nat) @t2) (not (tptp.c_lessequals @t2 @t4 tptp.tc_nat))))) % 1.76/2.12 (assume @p480 (forall @t589 (or (= (tptp.c_Lambda_Olift @t181 @t115) @t181) (not @t372)))) % 1.76/2.12 (assume @p481 (forall (@list @t147 @t2 @t146) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t147 @t2) (tptp.c_Lambda_Olift @t146 @t2)) @t148))) % 1.76/2.12 (assume @p482 (forall (@list @t67 @t149 @t25) (not (= (tptp.c_List_Olist_OCons @t67 @t149 @t25) @t149)))) % 1.76/2.12 (assume @p483 (forall (@list @t112 @t67 @t25) (not (= @t112 @t299)))) % 1.76/2.12 (assume @p484 (forall @t40 (= (tptp.c_Orderings_Oord__class_Omin @t38 @t41 tptp.tc_nat) (tptp.c_Suc @t690)))) % 1.76/2.12 (assume @p485 (forall @t40 (or (= @t9 @t41) @t95 (not @t691)))) % 1.76/2.12 (assume @p486 (forall @t229 (or @t466 @t227))) % 1.76/2.12 (assume @p487 (forall @t40 (or @t362 @t566))) % 1.76/2.12 (assume @p488 (forall @t292 (or @t565 @t361))) % 1.76/2.12 (assume @p489 (forall @t190 (or @t487 @t362 @t136))) % 1.76/2.12 (assume @p490 (forall @t194 (or @t489 @t362 @t136))) % 1.76/2.12 (assume @p491 (forall @t694 (or (tptp.c_HOL_Oord__class_Oless @t693 @t692 tptp.tc_nat) @t136 @t373))) % 1.76/2.12 (assume @p492 (forall @t145 (or @t93 @t695 @t362))) % 1.76/2.12 (assume @p493 (forall @t145 (or @t93 @t361 (not @t695)))) % 1.76/2.12 (assume @p494 (forall @t176 (tptp.c_HOL_Oord__class_Oless @t4 @t41 tptp.tc_nat))) % 1.76/2.12 (assume @p495 (forall @t229 @t227)) % 1.76/2.12 (assume @p496 (forall @t317 (or (tptp.c_HOL_Oord__class_Oless @t696 @t115 tptp.tc_nat) @t584 @t373))) % 1.76/2.12 (assume @p497 (forall @t698 (or @t133 @t697 @t219))) % 1.76/2.12 (assume @p498 (forall @t282 (or @t133 @t218 (not @t697)))) % 1.76/2.12 (assume @p499 (forall @t499 (or @t133 @t700 @t219))) % 1.76/2.12 (assume @p500 (forall @t282 (or @t133 @t218 (not @t700)))) % 1.76/2.12 (assume @p501 (forall @t698 (or @t223 @t697 @t219))) % 1.76/2.12 (assume @p502 (forall @t499 (or @t223 @t700 @t219))) % 1.76/2.12 (assume @p503 (forall @t317 (or (tptp.c_lessequals @t216 @t478 tptp.tc_nat) @t3))) % 1.76/2.12 (assume @p504 (forall @t139 (or @t95 (not @t701)))) % 1.76/2.12 (assume @p505 (forall @t194 (or @t701 @t96))) % 1.76/2.12 (assume @p506 (forall @t702 (or @t3 (= @t1 (tptp.hAPP (tptp.hAPP @t7 @t6) @t2))))) % 1.76/2.12 (assume @p507 (forall @t292 (or @t703 @t382))) % 1.76/2.12 (assume @p508 (forall @t40 (or (= (tptp.hAPP (tptp.hAPP @t7 @t97) @t4) @t9) @t382))) % 1.76/2.12 (assume @p509 (forall (@list @t343 @t67 @t342 @t195 @t344 @t341 @t340 @t25) (or (= @t705 @t704) @t345))) % 1.76/2.12 (assume @p510 (forall (@list @t343 @t342 @t67 @t195 @t344 @t341 @t340 @t25) (or (= (tptp.hAPP @t623 @t67) @t704) @t345))) % 1.76/2.12 (assume @p511 (forall (@list @t342 @t67 @t195 @t343 @t344 @t341 @t340 @t25) (or (= @t704 @t705) @t345))) % 1.76/2.12 (assume @p512 (forall (@list @t342 @t67 @t4 @t343 @t344 @t341 @t340 @t25) (or (= (tptp.hAPP @t346 @t41) (tptp.hAPP @t624 (tptp.hAPP @t346 @t4))) @t345))) % 1.76/2.12 (assume @p513 (forall @t139 (or @t361 @t490))) % 1.76/2.12 (assume @p514 (forall @t139 (or @t361 @t488))) % 1.76/2.12 (assume @p515 (forall @t318 (or (= @t570 @t571) @t116))) % 1.76/2.12 (assume @p516 (forall @t539 (or (= @t572 @t574) @t116))) % 1.76/2.12 (assume @p517 (forall (@list @t4 @t9 @t112 @t25) (= (tptp.c_List_Odrop @t4 (tptp.c_List_Odrop @t9 @t112 @t25) @t25) (tptp.c_List_Odrop @t392 @t112 @t25)))) % 1.76/2.12 (assume @p518 (forall @t448 (or @t93 @t218 @t249 (not (tptp.c_lessequals @t203 @t706 @t25))))) % 1.76/2.12 (assume @p519 (forall (@list @t4 @t9 @t67 @t25) (= (tptp.c_List_Oreplicate @t392 @t67 @t25) (tptp.c_List_Oappend @t301 @t123 @t25)))) % 1.76/2.12 (assume @p520 (forall @t71 (or @t707 (= (tptp.c_HOL_Otimes__class_Otimes @t67 @t172 @t25) @t172)))) % 1.76/2.12 (assume @p521 (forall @t46 (or @t93 @t708 @t444))) % 1.76/2.12 (assume @p522 (forall @t46 (or @t93 @t291 (not @t708)))) % 1.76/2.12 (assume @p523 (forall @t58 (or @t57 @t56 @t501 @t91 @t220 @t48))) % 1.76/2.12 (assume @p524 (forall @t58 (or @t57 @t56 @t53 @t127 @t50 @t219))) % 1.76/2.12 (assume @p525 (forall @t302 (or (not (= @t301 @t334)) @t175))) % 1.76/2.12 (assume @p526 (forall @t156 (= (tptp.c_Lambda_OdB_OdB__rec @t155 @t154 @t151 @t153 @t25) (tptp.hAPP @t152 (tptp.c_Lambda_OdB_OdB__rec @t155 @t154 @t151 @t150 @t25))))) % 1.76/2.12 (assume @p527 (forall @t210 (or @t199 (= @t207 @t209)))) % 1.76/2.12 (assume @p528 (forall @t210 (or @t199 (= (tptp.c_HOL_Otimes__class_Otimes @t206 @t67 @t25) @t209)))) % 1.76/2.12 (assume @p529 (forall (@list @t25 @t4 @t67) (or (not (= @t334 @t301)) @t175))) % 1.76/2.12 (assume @p530 (forall @t440 (or @t389 @t248 @t527 @t709))) % 1.76/2.12 (assume @p531 (forall @t184 (or @t389 @t530 @t527 @t709))) % 1.76/2.12 (assume @p532 (forall @t440 (or @t389 @t248 @t90 @t709))) % 1.76/2.12 (assume @p533 (forall @t184 (or @t389 @t530 @t90 @t709))) % 1.76/2.12 (assume @p534 (forall @t440 (or @t57 (tptp.c_HOL_Oord__class_Oless @t241 @t43 @t25) @t442 @t127))) % 1.76/2.12 (assume @p535 (forall @t184 (or @t57 @t710 @t442 @t127))) % 1.76/2.12 (assume @p536 (forall @t184 (or @t57 @t710 @t52 @t434))) % 1.76/2.12 (assume @p537 (forall @t40 (or @t95 @t364))) % 1.76/2.12 (assume @p538 (forall @t40 (or @t691 @t96))) % 1.76/2.12 (assume @p539 (forall @t460 (or (tptp.c_Type_Otypings @t26 @t456 @t711) @t458))) % 1.76/2.12 (assume @p540 (forall @t292 (or (tptp.c_HOL_Oord__class_Oless @t4 @t235 tptp.tc_nat) @t504 @t503))) % 1.76/2.12 (assume @p541 (forall @t292 (or (tptp.c_HOL_Oord__class_Oless @t4 @t234 tptp.tc_nat) @t504 @t503))) % 1.76/2.12 (assume @p542 (forall @t176 (not (tptp.c_lessequals @t41 @t4 tptp.tc_nat)))) % 1.76/2.12 (assume @p543 (forall @t139 (or @t361 (not @t712) @t474 @t473))) % 1.76/2.12 (assume @p544 (forall @t190 (or @t712 @t362 @t474 @t473))) % 1.76/2.12 (assume @p545 (forall @t134 (or @t93 @t131 @t472 @t127))) % 1.76/2.12 (assume @p546 (forall (@list @t1 @t5 @t2) (or (= (tptp.c_Lambda_Osubst @t714 @t5 @t2) @t714) @t713))) % 1.76/2.12 (assume @p547 (forall (@list @t60 @t155 @t154 @t151 @t150) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Lambda_OdB_OdB__case @t155 @t154 @t151 @t153 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 @t152))))) % 1.76/2.12 (assume @p548 (forall (@list @t60 @t155 @t154 @t151 @t481) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Lambda_OdB_OdB__case @t155 @t154 @t151 (tptp.c_Lambda_OdB_OAbs @t481) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t151 @t481)))))) % 1.76/2.12 (assume @p549 (forall (@list @t147 @t2 @t1) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t147 @t181 @t1)) @t678))) % 1.76/2.12 (assume @p550 (forall @t180 (or @t179 @t715 @t531))) % 1.76/2.12 (assume @p551 (forall @t180 (or @t179 @t530 (not @t715)))) % 1.76/2.12 (assume @p552 (forall @t702 (not (tptp.c_HOL_Oord__class_Oless @t371 @t2 tptp.tc_nat)))) % 1.76/2.12 (assume @p553 (forall (@list @t1 @t2) (not (tptp.c_HOL_Oord__class_Oless @t573 @t2 tptp.tc_nat)))) % 1.76/2.12 (assume @p554 (forall @t145 (or (not (tptp.class_Ring__and__Field_Oring__1 @t25)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t97 @t25) (tptp.c_HOL_Ominus__class_Ominus @t143 @t142 @t25)) @t382))) % 1.76/2.12 (assume @p555 (forall @t698 (or @t376 @t502 @t716 @t354))) % 1.76/2.12 (assume @p556 (forall @t499 (or @t376 @t497 @t716 @t354))) % 1.76/2.12 (assume @p557 (forall @t698 (or @t717 @t502 @t53 @t219))) % 1.76/2.12 (assume @p558 (forall @t499 (or @t717 @t497 @t53 @t219))) % 1.76/2.12 (assume @p559 (forall @t499 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t25)) @t497 @t53 @t219))) % 1.76/2.12 (assume @p560 (forall @t558 (or (not (= @t113 @t112)) @t549))) % 1.76/2.12 (assume @p561 (forall @t558 (or (not (= @t112 @t113)) @t549))) % 1.76/2.12 (assume @p562 (forall @t558 (or (not (= @t113 @t110)) @t546))) % 1.76/2.12 (assume @p563 (forall (@list @t110 @t112 @t25) (or (not (= @t110 @t113)) @t546))) % 1.76/2.12 (assume @p564 (forall (@list @t25 @t67 @t147 @t49 @t24) (or @t171 @t170 (not (= (tptp.hAPP @t266 (tptp.c_HOL_Otimes__class_Otimes @t147 @t49 @t25)) (tptp.hAPP @t266 (tptp.c_HOL_Otimes__class_Otimes @t147 @t24 @t25)))) @t563 (= @t147 @t43)))) % 1.76/2.12 (assume @p565 (forall (@list @t67 @t147 @t49 @t24) (or (not (= (tptp.hAPP @t273 (tptp.c_HOL_Otimes__class_Otimes @t147 @t49 tptp.tc_nat)) (tptp.hAPP @t273 (tptp.c_HOL_Otimes__class_Otimes @t147 @t24 tptp.tc_nat)))) @t563 (= @t147 @t59)))) % 1.76/2.12 (assume @p566 (forall @t594 (= @t718 @t299))) % 1.76/2.12 (assume @p567 (forall @t71 (or @t389 @t719 @t418))) % 1.76/2.12 (assume @p568 (forall @t71 (or @t389 @t719 @t422))) % 1.76/2.12 (assume @p569 (forall @t317 (or @t721 (not @t720)))) % 1.76/2.12 (assume @p570 (forall @t318 (or @t720 (not @t721)))) % 1.76/2.12 (assume @p571 (forall @t176 (not (= @t41 @t4)))) % 1.76/2.12 (assume @p572 (forall @t176 (not (= @t4 @t41)))) % 1.76/2.12 (assume @p573 (forall @t698 (or @t603 @t722 @t48))) % 1.76/2.12 (assume @p574 (forall @t698 (or @t133 @t722 @t48))) % 1.76/2.12 (assume @p575 (forall @t282 (or @t133 @t47 (not @t722)))) % 1.76/2.12 (assume @p576 (forall @t499 (or @t603 @t723 @t48))) % 1.76/2.12 (assume @p577 (forall @t499 (or @t133 @t723 @t48))) % 1.76/2.12 (assume @p578 (forall @t282 (or @t133 @t47 (not @t723)))) % 1.76/2.12 (assume @p579 (forall @t317 (or (tptp.c_HOL_Oord__class_Oless @t216 @t478 tptp.tc_nat) @t373))) % 1.76/2.12 (assume @p580 (forall @t139 (or @t361 (not @t724)))) % 1.76/2.12 (assume @p581 (forall @t194 (or @t724 @t362))) % 1.76/2.12 (assume @p582 (forall @t40 (or @t295 (not @t297) (not @t298)))) % 1.76/2.12 (assume @p583 (forall @t162 (or @t257 @t322 @t533 @t265))) % 1.76/2.12 (assume @p584 (forall @t162 (or @t257 @t157 @t533 @t256))) % 1.76/2.12 (assume @p585 (forall @t162 (or @t257 @t157 @t160 @t265))) % 1.76/2.12 (assume @p586 (forall @t184 (or @t239 (tptp.c_lessequals @t250 @t43 @t25) @t528 @t531))) % 1.76/2.12 (assume @p587 (forall @t254 (or @t253 @t82 @t320 @t80))) % 1.76/2.12 (assume @p588 (forall @t176 (tptp.c_lessequals @t4 @t4 tptp.tc_nat))) % 1.76/2.12 (assume @p589 (forall @t317 (or (tptp.c_lessequals @t2 @t115 tptp.tc_nat) (not (tptp.c_lessequals @t1 @t115 tptp.tc_nat)) @t3))) % 1.76/2.12 (assume @p590 (forall @t229 @t228)) % 1.76/2.12 (assume @p591 (forall @t339 (or @t257 @t463))) % 1.76/2.12 (assume @p592 (forall @t317 (or (tptp.c_HOL_Oord__class_Oless @t726 @t725 tptp.tc_nat) @t136 @t373))) % 1.76/2.12 (assume @p593 (forall @t139 (or @t361 @t490 @t136))) % 1.76/2.12 (assume @p594 (forall @t134 (or @t389 @t687 @t407 @t496))) % 1.76/2.12 (assume @p595 (forall @t499 (or @t389 @t406 @t727 @t496))) % 1.76/2.12 (assume @p596 (forall @t282 (or @t389 @t47 @t407 @t501))) % 1.76/2.12 (assume @p597 (forall @t499 (or @t389 @t406 @t48 @t501))) % 1.76/2.12 (assume @p598 (forall @t499 (or @t389 @t406 @t496 @t727))) % 1.76/2.12 (assume @p599 (forall @t499 (or @t57 @t406 @t501 @t48))) % 1.76/2.12 (assume @p600 (forall @t698 (or @t389 @t402 @t496 @t727))) % 1.76/2.12 (assume @p601 (forall @t698 (or @t57 @t402 @t501 @t48))) % 1.76/2.12 (assume @p602 (forall @t698 (or @t389 @t402 @t48 @t501))) % 1.76/2.12 (assume @p603 (forall @t698 (or @t389 @t402 @t727 @t496))) % 1.76/2.12 (assume @p604 (forall @t499 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t25)) @t406 @t501 @t48))) % 1.76/2.12 (assume @p605 (forall @t300 (= @t299 @t718))) % 1.76/2.12 (assume @p606 (forall @t86 (or @t133 (= (tptp.hAPP (tptp.hAPP @t28 @t107) @t81) (tptp.c_Orderings_Oord__class_Omax @t271 @t269 @t25))))) % 1.76/2.12 (assume @p607 (forall @t543 (or (tptp.c_InductTermi_OIT (tptp.hAPP @t259 @t181)) @t541))) % 1.76/2.12 (assume @p608 (forall @t480 (or @t93 (not (= @t203 @t706)) @t562 @t249 @t91))) % 1.76/2.12 (assume @p609 (forall @t217 (or (tptp.c_lessequals @t726 (tptp.c_HOL_Otimes__class_Otimes @t1 @t211 tptp.tc_nat) tptp.tc_nat) @t212 @t3))) % 1.76/2.12 (assume @p610 (forall @t686 (tptp.c_lessequals @t9 (tptp.c_HOL_Otimes__class_Otimes @t9 @t685 tptp.tc_nat) tptp.tc_nat))) % 1.76/2.12 (assume @p611 (forall @t58 (or @t729 @t728 @t53 @t249 @t220 @t219))) % 1.76/2.12 (assume @p612 (forall @t58 (or @t729 @t728 @t53 @t91 @t220 @t219))) % 1.76/2.12 (assume @p613 (forall @t86 (or @t70 (= (tptp.c_Orderings_Oord__class_Omax @t107 @t81 @t25) @t730)))) % 1.76/2.12 (assume @p614 (forall @t86 (or @t70 (= @t730 (tptp.c_Orderings_Oord__class_Omax @t68 @t731 @t25))))) % 1.76/2.12 (assume @p615 (forall @t240 (= @t334 @t732))) % 1.76/2.12 (assume @p616 (forall (@list @t25 @t31 @t9 @t27) (or @t199 (= (tptp.hAPP (tptp.hAPP @t28 (tptp.c_HOL_Otimes__class_Otimes @t31 @t9 @t25)) (tptp.c_HOL_Otimes__class_Otimes @t27 @t9 @t25)) (tptp.c_HOL_Otimes__class_Otimes @t250 @t9 @t25))))) % 1.76/2.12 (assume @p617 (forall (@list @t146 @t149 @t4 @t510) (not (= @t591 @t733)))) % 1.76/2.12 (assume @p618 (forall @t46 (or @t93 (tptp.c_lessequals @t43 @t142 @t25)))) % 1.76/2.12 (assume @p619 (forall @t682 (or @t93 (tptp.c_lessequals @t43 @t143 @t25)))) % 1.76/2.12 (assume @p620 (forall @t240 (or @t389 (not (tptp.c_HOL_Oord__class_Oless @t43 @t569 @t25))))) % 1.76/2.12 (assume @p621 (forall @t592 (or (tptp.c_Lambda_Obeta @t590 @t734) @t679))) % 1.76/2.12 (assume @p622 (forall @t71 (or @t70 (= (tptp.c_Orderings_Oord__class_Omax @t67 @t107 @t25) @t107)))) % 1.76/2.12 (assume @p623 (forall (@list @t2 @t67 @t25) (= (tptp.c_List_Oappend @t735 @t736 @t25) (tptp.c_List_Olist_OCons @t67 @t735 @t25)))) % 1.76/2.12 (assume @p624 (forall @t184 (or @t389 @t530 @t90 @t738))) % 1.76/2.12 (assume @p625 (forall @t440 (or @t389 @t527 @t90 @t738))) % 1.76/2.12 (assume @p626 (forall @t184 (or @t389 @t530 @t248 @t738))) % 1.76/2.12 (assume @p627 (forall @t440 (or @t389 @t527 @t248 @t738))) % 1.76/2.12 (assume @p628 (forall @t40 (= (tptp.c_HOL_Ominus__class_Ominus @t36 @t4 tptp.tc_nat) @t9))) % 1.76/2.12 (assume @p629 (forall @t292 (= (tptp.c_HOL_Ominus__class_Ominus @t392 @t4 tptp.tc_nat) @t9))) % 1.76/2.12 (assume @p630 (forall @t184 (or @t183 (= (tptp.c_HOL_Ominus__class_Ominus @t250 @t27 @t25) @t31)))) % 1.76/2.12 (assume @p631 (forall (@list @t492 @t31 @t112 @t110 @t491 @t25) (= (tptp.c_List_Ofoldl @t492 @t31 @t739 @t25 @t491) (tptp.c_List_Ofoldl @t492 (tptp.c_List_Ofoldl @t492 @t31 @t112 @t25 @t491) @t110 @t25 @t491)))) % 1.76/2.12 (assume @p632 (forall @t545 (= (tptp.c_Type_Otype_Otype__case @t155 @t154 @t358 @t25) @t586))) % 1.76/2.12 (assume @p633 (forall @t58 (or @t603 @t602 @t50 @t219))) % 1.76/2.12 (assume @p634 (forall @t58 (or @t603 @t602 @t220 @t48))) % 1.76/2.12 (assume @p635 (forall (@list @t67 @t4) (or (tptp.c_HOL_Oord__class_Oless @t226 @t41 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t67 @t4 tptp.tc_nat))))) % 1.76/2.12 (assume @p636 (forall @t40 (or @t361 (not @t740)))) % 1.76/2.12 (assume @p637 (forall @t40 (or @t740 @t362))) % 1.76/2.12 (assume @p638 (forall @t40 (or @t289 @t444))) % 1.76/2.12 (assume @p639 (forall @t40 (or @t289 @t443))) % 1.76/2.12 (assume @p640 (forall @t180 (or @t179 @t126 (not @t741)))) % 1.76/2.12 (assume @p641 (forall @t180 (or @t179 @t741 @t127))) % 1.76/2.12 (assume @p642 (forall (@list @t258 @t26 @t149) (or (= @t258 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t744) @t743)) @t742))) % 1.76/2.12 (assume @p643 (forall @t94 (or @t749 @t748 @t747 @t44 @t746 @t745))) % 1.76/2.12 (assume @p644 (forall @t94 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t25)) @t746 @t745))) % 1.76/2.12 (assume @p645 (forall @t339 (or @t199 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t67 @t25) @t43)))) % 1.76/2.12 (assume @p646 (forall @t180 (or @t747 @t750))) % 1.76/2.12 (assume @p647 (forall @t180 (or @t747 @t751))) % 1.76/2.12 (assume @p648 (forall (@list @t25 @t27) (or @t752 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t27 @t25) @t43)))) % 1.76/2.12 (assume @p649 (forall @t180 (or @t752 @t751))) % 1.76/2.12 (assume @p650 (forall @t180 (or @t199 @t751))) % 1.76/2.12 (assume @p651 (forall @t180 (or @t199 @t750))) % 1.76/2.12 (assume @p652 (forall @t184 (or @t748 @t754 @t745 @t753))) % 1.76/2.12 (assume @p653 (forall @t184 (or @t748 @t754 @t753 @t745))) % 1.76/2.12 (assume @p654 (forall @t184 (or @t752 @t754 @t753 @t745))) % 1.76/2.12 (assume @p655 (forall @t180 (or @t179 (not (= @t177 @t43)) @t745))) % 1.76/2.12 (assume @p656 (forall @t339 (or @t171 @t170 @t755))) % 1.76/2.12 (assume @p657 (forall @t180 (or @t183 (= (tptp.c_HOL_Ominus__class_Ominus @t31 @t31 @t25) @t43)))) % 1.76/2.12 (assume @p658 (forall @t180 (or @t183 (= (tptp.c_HOL_Ominus__class_Ominus @t31 @t43 @t25) @t31)))) % 1.76/2.12 (assume @p659 (forall @t339 (or @t183 @t755))) % 1.76/2.12 (assume @p660 (forall @t339 (or @t272 @t755))) % 1.76/2.12 (assume @p661 (forall (@list @t25 @t67 @t31) (or @t171 @t170 (not (= @t67 (tptp.hAPP @t266 @t31))) @t745))) % 1.76/2.12 (assume @p662 (forall @t240 (or @t179 @t237))) % 1.76/2.12 (assume @p663 (forall @t71 (or @t171 @t170 (not (= @t756 @t43)) @t423))) % 1.76/2.12 (assume @p664 (forall @t184 (or @t183 @t757 @t562))) % 1.76/2.12 (assume @p665 (forall @t184 (or @t272 @t757 @t562))) % 1.76/2.12 (assume @p666 (forall @t339 (or @t199 (= (tptp.hAPP @t236 @t67) @t67)))) % 1.76/2.12 (assume @p667 (forall @t180 (or @t132 @t758))) % 1.76/2.12 (assume @p668 (forall @t339 (or @t171 @t170 (= @t67 (tptp.hAPP @t266 @t43))))) % 1.76/2.12 (assume @p669 (forall @t180 (or @t132 @t759))) % 1.76/2.12 (assume @p670 (forall @t180 (or @t232 @t758))) % 1.76/2.12 (assume @p671 (forall @t180 (or @t232 @t759))) % 1.76/2.12 (assume @p672 (forall @t180 (or @t199 @t759))) % 1.76/2.12 (assume @p673 (forall @t180 (or @t199 @t758))) % 1.76/2.12 (assume @p674 (tptp.c_Type_Otyping @t760 tptp.v_a____ tptp.v_T_H_H____)) % 1.76/2.12 (assume @p675 (tptp.c_lessequals @t59 @t59 tptp.tc_nat)) % 1.76/2.12 (assume @p676 (forall @t40 (= @t761 (tptp.c_HOL_Otimes__class_Otimes @t4 @t59 tptp.tc_nat)))) % 1.76/2.12 (assume @p677 (forall @t40 (= (tptp.c_HOL_Otimes__class_Otimes @t59 @t9 tptp.tc_nat) @t762))) % 1.76/2.12 (assume @p678 (not (tptp.c_HOL_Oord__class_Oless @t59 @t59 tptp.tc_nat))) % 1.76/2.12 (assume @p679 (forall @t176 (or @t291 @t175))) % 1.76/2.12 (assume @p680 (forall @t686 (not (= @t38 @t59)))) % 1.76/2.12 (assume @p681 (forall @t763 (not (= @t425 @t59)))) % 1.76/2.12 (assume @p682 (forall @t292 (or (not (= @t593 @t59)) @t99 @t122))) % 1.76/2.12 (assume @p683 (forall @t176 (or @t175 (not (tptp.c_lessequals @t4 @t59 tptp.tc_nat))))) % 1.76/2.12 (assume @p684 (forall @t686 (= @t761 @t59))) % 1.76/2.12 (assume @p685 (forall @t176 (= @t762 @t59))) % 1.76/2.12 (assume @p686 (forall @t40 (or (not (= @t235 @t59)) @t175 @t439))) % 1.76/2.12 (assume @p687 (forall @t40 (or @t764 @t175))) % 1.76/2.12 (assume @p688 (forall @t40 (or @t764 @t439))) % 1.76/2.12 (assume @p689 (forall @t339 (or @t253 @t463))) % 1.76/2.12 (assume @p690 (forall @t254 (or @t253 @t103 @t106 @t80))) % 1.76/2.12 (assume @p691 (forall @t254 (or @t253 @t103 @t320 @t252))) % 1.76/2.12 (assume @p692 (forall (@list @t25 @t31 @t27 @t24 @t49) (or @t102 (tptp.c_lessequals @t31 @t222 @t25) @t220 (not (tptp.c_lessequals @t31 @t277 @t25))))) % 1.76/2.12 (assume @p693 (forall (@list @t60 @t155 @t154 @t151 @t244 @t243) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Lambda_OdB_OdB__case @t155 @t154 @t151 @t246 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 @t245))))) % 1.76/2.12 (assume @p694 (forall (@list @t60 @t155 @t154 @t151 @t765 @t665) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Lambda_OdB_OdB__case @t155 @t154 @t151 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t765) @t665) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t154 @t765) @t665)))))) % 1.76/2.12 (assume @p695 (forall @t768 (or @t767 (= @t31 @t610)))) % 1.76/2.12 (assume @p696 (forall @t768 (or @t767 (= @t766 @t609)))) % 1.76/2.12 (assume @p697 (forall @t770 (or @t769 @t605))) % 1.76/2.12 (assume @p698 (forall @t770 (or @t769 @t122))) % 1.76/2.12 (assume @p699 (forall (@list @t550 @t244 @t243) (not (= @t551 @t246)))) % 1.76/2.12 (assume @p700 (forall (@list @t9 @t2 @t4) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t9 @t2 tptp.tc_nat) @t688 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t690 @t2 tptp.tc_nat)))) % 1.76/2.12 (assume @p701 (forall (@list @t60 @t31 @t27) (or @t61 @t526 (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_HOL_Ominus__class_Ominus @t31 @t27 tptp.tc_nat))))))) % 1.76/2.12 (assume @p702 (= @t471 @t140)) % 1.76/2.12 (assume @p703 (forall @t339 (or @t707 (= @t387 @t67)))) % 1.76/2.12 (assume @p704 (forall @t58 (or @t57 @t56 @t53 @t91 @t50 @t48))) % 1.76/2.12 (assume @p705 (forall @t292 (or @t567 @t566 @t96))) % 1.76/2.12 (assume @p706 (forall (@list @t26 @t456 @t258 @t2) (or (tptp.c_Type_Otypings @t26 @t456 @t772) @t771))) % 1.76/2.12 (assume @p707 (forall (@list @t244 @t243 @t550) (not (= @t246 @t551)))) % 1.76/2.12 (assume @p708 (forall @t317 (or (tptp.c_lessequals @t726 @t725 tptp.tc_nat) @t3))) % 1.76/2.12 (assume @p709 (forall @t694 (or (tptp.c_lessequals @t693 @t692 tptp.tc_nat) @t3))) % 1.76/2.12 (assume @p710 (forall @t194 (or @t193 @t96))) % 1.76/2.12 (assume @p711 (forall @t190 (or @t189 @t96))) % 1.76/2.12 (assume @p712 (forall (@list @t4 @t67 @t25 @t112) (= (tptp.c_List_Oappend @t301 @t299 @t25) (tptp.c_List_Olist_OCons @t67 (tptp.c_List_Oappend @t301 @t112 @t25) @t25)))) % 1.76/2.12 (assume @p713 (forall @t40 (or @t361 (not @t773)))) % 1.76/2.12 (assume @p714 (forall @t292 (or @t773 @t362))) % 1.76/2.12 (assume @p715 (forall @t40 (or @t361 (not @t618)))) % 1.76/2.12 (assume @p716 (forall @t40 (or @t224 @t362))) % 1.76/2.12 (assume @p717 (forall @t240 (or @t389 (= @t569 @t43)))) % 1.76/2.12 (assume @p718 (forall @t499 (or @t389 @t495 @t47 @t403))) % 1.76/2.12 (assume @p719 (forall @t134 (or @t389 @t687 @t500 @t403))) % 1.76/2.12 (assume @p720 (forall @t499 (or @t389 @t495 @t47 @t407))) % 1.76/2.12 (assume @p721 (forall @t134 (or @t389 @t687 @t500 @t407))) % 1.76/2.12 (assume @p722 (forall (@list @t149 @t5 @t146 @t115) (= (tptp.c_Lambda_Osubst @t260 @t146 @t115) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t149 @t146 @t115)) (tptp.c_Lambda_Osubst @t5 @t146 @t115))))) % 1.76/2.12 (assume @p723 (forall @t194 (or (not (= @t616 @t615)) @t122))) % 1.76/2.12 (assume @p724 (forall @t176 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t4 @t140 tptp.tc_nat)) @t4) @t444))) % 1.76/2.12 (assume @p725 (forall @t145 (or @t556 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t36 @t25) (tptp.hAPP (tptp.hAPP @t28 @t143) @t142))))) % 1.76/2.12 (assume @p726 (forall @t40 (or (tptp.c_HOL_Oord__class_Oless @t97 @t9 tptp.tc_nat) @t443 @t444))) % 1.76/2.12 (assume @p727 (forall @t86 (or @t70 (tptp.c_lessequals @t775 @t774 @t25)))) % 1.76/2.12 (assume @p728 (forall @t778 (or @t102 @t777 @t776 @t265))) % 1.76/2.12 (assume @p729 (forall @t778 (or @t102 @t777 @t264 (not @t776)))) % 1.76/2.12 (assume @p730 (forall @t778 (or @t102 @t777 @t779 @t252))) % 1.76/2.12 (assume @p731 (forall @t778 (or @t102 @t777 @t251 (not @t779)))) % 1.76/2.12 (assume @p732 (forall @t448 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t25)) (= (tptp.c_Power_Opower__class_Opower @t242 @t4 @t25) (tptp.c_HOL_Otimes__class_Otimes @t92 @t446 @t25))))) % 1.76/2.12 (assume @p733 (forall (@list @t25 @t67 @t68 @t195) (or @t199 (= (tptp.c_Power_Opower__class_Opower @t172 @t195 @t25) (tptp.c_HOL_Otimes__class_Otimes @t206 (tptp.c_Power_Opower__class_Opower @t68 @t195 @t25) @t25))))) % 1.76/2.12 (assume @p734 (forall @t548 (or @t232 (= (tptp.c_List_Olistsum @t113 @t25) (tptp.hAPP (tptp.hAPP @t28 @t231) (tptp.c_List_Olistsum @t110 @t25)))))) % 1.76/2.12 (assume @p735 (forall @t292 (or @t703 @t361))) % 1.76/2.12 (assume @p736 (forall @t689 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t4 @t696 tptp.tc_nat) @t4 tptp.tc_nat) @t444))) % 1.76/2.12 (assume @p737 (forall @t781 (or @t780 (= @t112 @t110)))) % 1.76/2.12 (assume @p738 (forall @t781 (or @t780 @t423))) % 1.76/2.12 (assume @p739 (forall @t40 (or @t675 @t397 @t395))) % 1.76/2.12 (assume @p740 (forall @t40 (or @t675 @t439 @t175))) % 1.76/2.12 (assume @p741 (forall @t325 (or @t70 (= (tptp.c_Orderings_Oord__class_Omax @t84 @t67 @t25) (tptp.c_Orderings_Oord__class_Omin @t683 (tptp.c_Orderings_Oord__class_Omax @t81 @t67 @t25) @t25))))) % 1.76/2.12 (assume @p742 (forall @t86 (or @t70 (= @t775 @t774)))) % 1.76/2.12 (assume @p743 (forall @t294 (or @t204 (= (tptp.c_Power_Opower__class_Opower @t31 @t235 @t25) (tptp.c_Power_Opower__class_Opower @t293 @t4 @t25))))) % 1.76/2.12 (assume @p744 (forall @t440 (or @t257 @t687 @t562 @t354))) % 1.76/2.12 (assume @p745 (forall @t440 (or @t257 @t687 @t354 @t562))) % 1.76/2.12 (assume @p746 (forall @t40 (or @t361 @t122 @t96))) % 1.76/2.12 (assume @p747 (forall @t40 (or @t122 @t361 @t96))) % 1.76/2.12 (assume @p748 (forall @t71 (or @t257 @t423 @t251 @t80))) % 1.76/2.12 (assume @p749 (forall @t71 (or @t257 @t251 @t423 @t80))) % 1.76/2.12 (assume @p750 (forall @t184 (or @t257 @t47 @t562 @t219))) % 1.76/2.12 (assume @p751 (forall @t184 (or @t257 @t47 @t219 @t562))) % 1.76/2.12 (assume @p752 (forall @t71 (or @t70 @t423 @t80 @t251))) % 1.76/2.12 (assume @p753 (forall @t71 (or @t70 @t423 @t251 @t80))) % 1.76/2.12 (assume @p754 (forall @t184 (or @t532 @t737 @t249 @t91))) % 1.76/2.12 (assume @p755 (forall @t184 (or @t389 @t737 @t528 @t531))) % 1.76/2.12 (assume @p756 (forall @t184 (or @t389 @t737 @t249 @t91))) % 1.76/2.12 (assume @p757 (forall @t180 (or @t389 (tptp.c_lessequals @t43 @t613 @t25)))) % 1.76/2.12 (assume @p758 (forall @t184 (or @t376 @t737 @t528 @t531))) % 1.76/2.12 (assume @p759 (forall @t184 (or @t376 @t737 @t249 @t91))) % 1.76/2.12 (assume @p760 (forall @t505 (= (tptp.c_Lambda_OdB_OdB__size @t246) (tptp.hAPP (tptp.hAPP @t7 (tptp.hAPP (tptp.hAPP @t7 (tptp.c_Lambda_OdB_OdB__size @t244)) (tptp.c_Lambda_OdB_OdB__size @t243))) @t140)))) % 1.76/2.12 (assume @p761 (forall @t240 (= @t732 @t334))) % 1.76/2.12 (assume @p762 (forall @t292 (or @t381 (not @t782)))) % 1.76/2.12 (assume @p763 (forall @t292 (or @t782 @t382))) % 1.76/2.12 (assume @p764 (forall @t681 (= (tptp.c_Lambda_OdB_OdB__size @t153) (tptp.hAPP (tptp.hAPP @t7 (tptp.c_Lambda_OdB_OdB__size @t150)) @t140)))) % 1.76/2.12 (assume @p765 (forall @t282 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t25)) (= (tptp.c_HOL_Otimes__class_Otimes @t242 @t49 @t25) (tptp.c_HOL_Otimes__class_Otimes @t31 @t401 @t25))))) % 1.76/2.12 (assume @p766 (forall @t784 (or @t199 (= @t783 (tptp.c_HOL_Otimes__class_Otimes @t579 @t576 @t25))))) % 1.76/2.12 (assume @p767 (forall @t784 (or @t199 (= @t783 (tptp.c_HOL_Otimes__class_Otimes @t578 (tptp.c_HOL_Otimes__class_Otimes @t576 @t577 @t25) @t25))))) % 1.76/2.12 (assume @p768 (forall @t786 (or @t199 (= @t785 (tptp.c_HOL_Otimes__class_Otimes @t579 @t575 @t25))))) % 1.76/2.12 (assume @p769 (forall @t786 (or @t199 (= @t785 (tptp.c_HOL_Otimes__class_Otimes @t577 (tptp.c_HOL_Otimes__class_Otimes @t578 @t575 @t25) @t25))))) % 1.76/2.12 (assume @p770 (forall @t114 (= (tptp.c_List_Oappend @t113 @t109 @t25) (tptp.c_List_Oappend @t112 (tptp.c_List_Oappend @t110 @t109 @t25) @t25)))) % 1.76/2.12 (assume @p771 (forall @t139 (= (tptp.c_HOL_Otimes__class_Otimes @t235 @t115 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t9 @t187 tptp.tc_nat)))) % 1.76/2.12 (assume @p772 (forall (@list @t112 @t622 @t667 @t25) (= (tptp.c_List_Oappend @t112 (tptp.c_List_Oappend @t622 @t667 @t25) @t25) (tptp.c_List_Oappend (tptp.c_List_Oappend @t112 @t622 @t25) @t667 @t25)))) % 1.76/2.12 (assume @p773 (forall (@list @t109 @t67 @t25 @t110) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t109 @t67 @t25) @t110 @t25) (tptp.c_List_Oappend @t109 (tptp.c_List_Oappend @t67 @t110 @t25) @t25)))) % 1.76/2.12 (assume @p774 (forall (@list @t112 @t67 @t456 @t25) (= (tptp.c_List_Oappend @t112 (tptp.c_List_Oappend @t67 @t456 @t25) @t25) (tptp.c_List_Oappend (tptp.c_List_Oappend @t112 @t67 @t25) @t456 @t25)))) % 1.76/2.12 (assume @p775 (forall @t86 (or @t199 (= (tptp.c_HOL_Otimes__class_Otimes @t67 (tptp.c_HOL_Otimes__class_Otimes @t68 @t81 @t25) @t25) (tptp.c_HOL_Otimes__class_Otimes @t172 @t81 @t25))))) % 1.76/2.12 (assume @p776 (forall @t282 (or @t199 @t787))) % 1.76/2.12 (assume @p777 (forall @t282 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t25)) @t787))) % 1.76/2.12 (assume @p778 (forall @t139 (= (tptp.c_HOL_Otimes__class_Otimes @t36 @t115 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t7 @t188) @t187)))) % 1.76/2.12 (assume @p779 (forall @t194 (= (tptp.c_HOL_Otimes__class_Otimes @t115 @t36 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t7 @t192) @t191)))) % 1.76/2.12 (assume @p780 (forall @t86 (or @t199 (= (tptp.c_HOL_Otimes__class_Otimes @t67 @t269 @t25) @t174)))) % 1.76/2.12 (assume @p781 (forall @t184 (or @t257 @t48 @t727))) % 1.76/2.12 (assume @p782 (forall @t71 (or @t70 @t252 @t256))) % 1.76/2.12 (assume @p783 (forall @t292 (or @t381 @t95))) % 1.76/2.12 (assume @p784 (forall @t333 (or @t70 @t264 @t79))) % 1.76/2.12 (assume @p785 (forall @t333 (or @t253 @t256 @t252))) % 1.76/2.12 (assume @p786 (forall @t440 (or @t253 @t727 @t48))) % 1.76/2.12 (assume @p787 (forall (@list @t67 @t492 @t25) (= (tptp.c_Nat_Onat_Onat__case @t67 @t492 @t59 @t25) @t67))) % 1.76/2.12 (assume @p788 (forall (@list @t155 @t154 @t25) (= (tptp.c_Nat_Onat_Onat__case @t155 @t154 @t59 @t25) @t155))) % 1.76/2.12 (assume @p789 (forall @t176 (= (tptp.c_Orderings_Oord__class_Omin @t4 @t59 tptp.tc_nat) @t59))) % 1.76/2.12 (assume @p790 (forall @t176 (= (tptp.c_Orderings_Oord__class_Omin @t59 @t4 tptp.tc_nat) @t59))) % 1.76/2.12 (assume @p791 (forall @t190 (or (not (= @t188 @t187)) @t788 @t122))) % 1.76/2.12 (assume @p792 (forall @t194 (or @t486 @t788 @t122))) % 1.76/2.12 (assume @p793 (forall @t194 (or @t486 @t122 @t788))) % 1.76/2.12 (assume @p794 (forall @t686 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t59 tptp.tc_nat) @t9))) % 1.76/2.12 (assume @p795 (forall @t686 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t9 tptp.tc_nat) @t59))) % 1.76/2.12 (assume @p796 (forall (@list @t67 @t31) (or (not (= @t67 (tptp.hAPP @t273 @t31))) (= @t31 @t59)))) % 1.76/2.12 (assume @p797 (forall @t40 (or (not (= @t36 @t9)) @t175))) % 1.76/2.12 (assume @p798 (forall @t66 (or @t65 (tptp.hBOOL (tptp.hAPP @t60 @t360)) @t62))) % 1.76/2.12 (assume @p799 (forall @t686 (not (= @t59 @t38)))) % 1.76/2.12 (assume @p800 (forall @t763 (not (= @t59 @t425)))) % 1.76/2.12 (assume @p801 (forall (@list @t60 @t155 @t154) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Nat_Onat_Onat__case @t155 @t154 @t59 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 @t155))))) % 1.76/2.12 (assume @p802 (forall @t66 (or @t65 (tptp.hBOOL (tptp.hAPP @t60 @t201)) @t62))) % 1.76/2.12 (assume @p803 (forall @t229 (= (tptp.c_Nitpick_Onat__gcd @t67 @t59) @t67))) % 1.76/2.12 (assume @p804 (= (tptp.c_nat_Onat__size @t59) @t59)) % 1.76/2.12 (assume @p805 (forall @t789 (= (tptp.c_String_Ochar_Ochar__size @t49) @t59))) % 1.76/2.12 (assume @p806 (= (tptp.hAPP @t470 @t59) @t59)) % 1.76/2.12 (assume @p807 (forall @t66 (or @t65 (tptp.hBOOL (tptp.hAPP @t60 @t63)) @t62))) % 1.76/2.12 (assume @p808 (forall @t686 (not (tptp.c_HOL_Oord__class_Oless @t9 @t59 tptp.tc_nat)))) % 1.76/2.12 (assume @p809 (forall @t176 (not (tptp.c_HOL_Oord__class_Oless @t4 @t59 tptp.tc_nat)))) % 1.76/2.12 (assume @p810 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_nat) @t59)) % 1.76/2.12 (assume @p811 (forall @t66 (or @t65 (tptp.hBOOL (tptp.hAPP @t60 @t355)) @t62))) % 1.76/2.12 (assume @p812 (forall @t336 (= (tptp.c_List_Odrop @t59 @t112 @t25) @t112))) % 1.76/2.12 (assume @p813 (forall @t176 (= (tptp.c_HOL_Ominus__class_Ominus @t59 @t4 tptp.tc_nat) @t59))) % 1.76/2.12 (assume @p814 (forall @t464 (or @t311 (not (tptp.hBOOL (tptp.hAPP @t60 @t309))) @t62))) % 1.76/2.12 (assume @p815 (forall @t176 (tptp.c_lessequals @t59 @t4 tptp.tc_nat))) % 1.76/2.12 (assume @p816 (forall @t789 (= (tptp.c_Nat_Osize__class_Osize @t49 tptp.tc_String_Ochar) @t59))) % 1.76/2.12 (assume @p817 (forall (@list @t67 @t25 @t68) (= @t587 (tptp.c_List_Oreplicate @t59 @t68 @t25)))) % 1.76/2.12 (assume @p818 (forall @t176 (= (tptp.c_Orderings_Oord__class_Omax @t4 @t59 tptp.tc_nat) @t4))) % 1.76/2.12 (assume @p819 (forall @t176 (= (tptp.c_Orderings_Oord__class_Omax @t59 @t4 tptp.tc_nat) @t4))) % 1.76/2.12 (assume @p820 (forall @t125 (or @t124 @t423 @t439))) % 1.76/2.12 (assume @p821 (forall @t229 (= @t67 (tptp.hAPP @t273 @t59)))) % 1.76/2.12 (assume @p822 (forall @t176 (= (tptp.hAPP @t470 @t4) @t4))) % 1.76/2.12 (assume @p823 (forall @t686 (= (tptp.hAPP @t35 @t59) @t9))) % 1.76/2.12 (assume @p824 (forall (@list @t342 @t67 @t340 @t344 @t343 @t341 @t25) (or (= (tptp.hAPP @t346 @t59) @t340) @t345))) % 1.76/2.12 (assume @p825 (forall @t233 (or @t232 (= @t231 @t790)))) % 1.76/2.12 (assume @p826 (forall @t233 (or @t232 (= @t230 @t790)))) % 1.76/2.12 (assume @p827 (forall (@list @t25 @t31 @t112) (or @t232 (= @t427 (tptp.hAPP @t129 @t790))))) % 1.76/2.12 (assume @p828 (forall (@list @t550 @t64) (not (= @t551 @t791)))) % 1.76/2.12 (assume @p829 (forall (@list @t60 @t155 @t154 @t151 @t792) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Lambda_OdB_OdB__case @t155 @t154 @t151 (tptp.c_Lambda_OdB_OVar @t792) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t155 @t792)))))) % 1.76/2.12 (assume @p830 (forall (@list @t60 @t155 @t154 @t151 @t64) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Lambda_OdB_OdB__case @t155 @t154 @t151 @t791 tptp.t_a)))) @t666))) % 1.76/2.12 (assume @p831 (forall (@list @t115 @t5) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t115) @t5 @t115) @t5))) % 1.76/2.12 (assume @p832 (forall (@list @t2 @t149) (not (tptp.c_Lambda_Obeta @t181 @t149)))) % 1.76/2.12 (assume @p833 (forall @t793 (= (tptp.c_Lambda_OdB_OdB__rec @t155 @t154 @t151 @t791 @t25) @t586))) % 1.76/2.12 (assume @p834 (forall (@list @t64 @t598 @t597) (not (= @t791 @t599)))) % 1.76/2.12 (assume @p835 (forall (@list @t64 @t550) (not (= @t791 @t551)))) % 1.76/2.12 (assume @p836 (forall @t176 (tptp.c_InductTermi_OIT @t544))) % 1.76/2.12 (assume @p837 (forall @t793 (= (tptp.c_Lambda_OdB_OdB__case @t155 @t154 @t151 @t791 @t25) @t586))) % 1.76/2.12 (assume @p838 (forall (@list @t598 @t597 @t64) (not (= @t599 @t791)))) % 1.76/2.12 (assume @p839 (tptp.c_Type_Otypings @t760 tptp.v_as____ tptp.v_Ts____)) % 1.76/2.12 (assume @p840 (tptp.c_Type_Otyping @t760 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t794 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_H____)) % 1.76/2.12 (assume @p841 (forall (@list @t258 @t672 @t26 @t2 @t456) (or (= @t258 @t672) @t673 @t771))) % 1.76/2.12 (assume @p842 (forall (@list @t26 @t796 @t258 @t149) (or (tptp.c_Type_Otyping @t26 @t796 @t258) (not (tptp.c_Lambda_Obeta @t149 @t796)) @t795))) % 1.76/2.12 (assume @p843 (forall (@list @t26 @t149 @t258) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t26 @t59 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t26 @t149) tptp.tc_Type_Otype) @t149 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t26 @t149)) @t742))) % 1.76/2.12 (assume @p844 (forall (@list @t26 @t258 @t149) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t26 @t59 @t744 tptp.tc_Type_Otype) @t149 @t743) @t742))) % 1.76/2.12 (assume @p845 (forall (@list @t26 @t149 @t258 @t5) (or (tptp.c_Type_Otyping @t26 @t149 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t262) @t258)) @t261))) % 1.76/2.12 (assume @p846 (forall (@list @t798 @t797 @t64) (not (= @t799 @t358)))) % 1.76/2.12 (assume @p847 (forall (@list @t60 @t801 @t800 @t258) (or (not (= @t467 @t802)) @t468 (tptp.hBOOL (tptp.hAPP @t60 @t800))))) % 1.76/2.12 (assume @p848 (forall (@list @t60 @t803 @t67 @t258) (or (not (= @t467 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t803) @t67))) @t468 (tptp.hBOOL (tptp.hAPP @t60 @t803))))) % 1.76/2.12 (assume @p849 (forall @t808 (= (tptp.c_Type_Otype_Otype__rec @t155 @t154 @t807 @t25) (tptp.hAPP (tptp.hAPP @t806 (tptp.c_Type_Otype_Otype__rec @t155 @t154 @t805 @t25)) (tptp.c_Type_Otype_Otype__rec @t155 @t154 @t804 @t25))))) % 1.76/2.12 (assume @p850 (forall @t808 (= (tptp.c_Type_Otype_Otype__case @t155 @t154 @t807 @t25) @t806))) % 1.76/2.12 (assume @p851 (forall (@list @t60 @t155 @t154 @t481 @t765) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Type_Otype_Otype__case @t155 @t154 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t481) @t765) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t519 @t765)))))) % 1.76/2.12 (assume @p852 (forall (@list @t60 @t155 @t154 @t805 @t804) (or (not (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Type_Otype_Otype__case @t155 @t154 @t807 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t60 @t806))))) % 1.76/2.12 (assume @p853 (forall (@list @t64 @t798 @t797) (not (= @t358 @t799)))) % 1.76/2.12 (assume @p854 (forall (@list @t492 @t67 @t112 @t491 @t31 @t25) (= (tptp.c_List_Ofoldr @t492 @t493 @t31 @t491 @t25) (tptp.hAPP (tptp.hAPP @t492 @t67) (tptp.c_List_Ofoldr @t492 @t112 @t31 @t491 @t25))))) % 1.76/2.12 (assume @p855 (forall (@list @t492 @t112 @t110 @t491 @t31 @t25) (= (tptp.c_List_Ofoldr @t492 @t739 @t31 @t491 @t25) (tptp.c_List_Ofoldr @t492 @t112 (tptp.c_List_Ofoldr @t492 @t110 @t31 @t491 @t25) @t491 @t25)))) % 1.76/2.12 (assume @p856 (forall (@list @t492 @t491 @t31 @t25) (= (tptp.c_List_Ofoldr @t492 @t540 @t31 @t491 @t25) @t31))) % 1.76/2.12 (assume @p857 (forall @t814 (or @t813 @t812 (not (tptp.c_Type_Otyping @t26 @t5 @t800)) @t810 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t26 @t2 @t800 tptp.tc_Type_Otype) @t149 @t809)) @t541))) % 1.76/2.12 (assume @p858 (forall @t814 (or @t813 @t812 (not (tptp.c_Type_Otyping @t26 @t5 @t801)) @t810 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t26 @t2 @t801 tptp.tc_Type_Otype) @t149 @t809)) @t541))) % 1.76/2.12 (assume @p859 (forall (@list @t672 @t258 @t26 @t667 @t2 @t456 @t670) (or (= @t672 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t674 @t258 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t673 @t671 @t669))) % 1.76/2.12 (assume @p860 (forall (@list @t26 @t2 @t258 @t25 @t1) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t26 @t2 @t258 @t25) @t1) (tptp.hAPP @t26 @t1)) @t713))) % 1.76/2.12 (assume @p861 (forall @t815 (or (tptp.c_Type_Otyping @t26 @t149 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t459 @t258 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t458))) % 1.76/2.12 (assume @p862 (forall (@list @t26 @t149 @t456 @t258 @t670) (or @t457 @t671 (not (tptp.c_Type_Otyping @t26 @t149 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t670 @t258 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 1.76/2.12 (assume @p863 (forall @t815 (or (tptp.c_Type_Otyping @t26 @t149 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t711 @t258 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t458))) % 1.76/2.12 (assume @p864 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 1.76/2.12 (assume @p865 (forall (@list @t26 @t2 @t258 @t456) (or (tptp.c_Type_Otyping @t26 @t181 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t772 @t258 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t771))) % 1.76/2.12 (assume @p866 (forall @t46 (or @t749 @t748 @t747 @t44 @t816 @t175))) % 1.76/2.12 (assume @p867 (forall @t46 (or @t45 @t44 @t816 @t175))) % 1.76/2.12 (assume @p868 (forall @t180 (or @t749 @t748 @t747 @t44 (not (= (tptp.c_Power_Opower__class_Opower @t31 @t59 @t25) @t43))))) % 1.76/2.12 (assume @p869 (forall @t240 (or @t556 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t59 @t25) @t43)))) % 1.76/2.12 (assume @p870 (forall @t684 (= (tptp.c_Nat_Osize__class_Osize @t791 tptp.tc_Lambda_OdB) @t59))) % 1.76/2.12 (assume @p871 (forall @t684 (= (tptp.c_Lambda_OdB_OdB__size @t791) @t59))) % 1.76/2.12 (assume @p872 (tptp.c_Type_Otyping @t760 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t794) tptp.v_a____) @t817)) % 1.76/2.12 (assume @p873 (forall (@list @t26 @t2 @t672 @t25 @t258) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t26 @t2 @t672 @t25) @t59 @t258 @t25) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t26 @t59 @t258 @t25) @t696 @t672 @t25)))) % 1.76/2.12 (assume @p874 (forall (@list @t819 @t146 @t149 @t672 @t258) (or (tptp.c_Type_Otyping @t819 @t386 @t672) (not (tptp.c_Type_Otyping @t819 @t149 @t258)) (not (tptp.c_Type_Otyping @t819 @t146 @t818))))) % 1.76/2.12 (assume @p875 (forall (@list @t26 @t2 @t672 @t149 @t258) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t26 @t2 @t672 tptp.tc_Type_Otype) @t542 @t258) @t795))) % 1.76/2.12 (assume @p876 (forall (@list @t820 @t5 @t672 @t2 @t149 @t258) (or (not (tptp.c_Type_Otyping @t820 @t5 @t672)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t820 @t2 @t672 tptp.tc_Type_Otype) @t149 @t258)) (tptp.c_Type_Otyping @t820 @t811 @t258)))) % 1.76/2.12 (assume @p877 (tptp.c_Type_Otyping @t760 @t794 @t821)) % 1.76/2.12 (assume @p878 (= tptp.v_T____ @t821)) % 1.76/2.12 (assume @p879 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ @t821)) % 1.76/2.12 (assume @p880 (forall (@list @t819 @t149 @t258 @t672) (or (tptp.c_Type_Otyping @t819 @t734 @t818) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t819 @t59 @t258 tptp.tc_Type_Otype) @t149 @t672))))) % 1.76/2.12 (assume @p881 (forall @t359 (or (not (= @t791 (tptp.c_Lambda_OdB_OVar @t356))) @t357))) % 1.76/2.12 (assume @p882 (forall @t823 (or @t822 (= @t805 @t798)))) % 1.76/2.12 (assume @p883 (forall @t823 (or @t822 (= @t804 @t797)))) % 1.76/2.12 (assume @p884 @t825) % 1.76/2.12 (assume @p885 (forall (@list @t26 @t2 @t258) (or (= (tptp.hAPP @t26 @t2) @t258) (not (tptp.c_Type_Otyping @t26 @t181 @t258))))) % 1.76/2.12 (assume @p886 (forall (@list @t819 @t67) (tptp.c_Type_Otyping @t819 @t465 (tptp.hAPP @t819 @t67)))) % 1.76/2.12 (assume @p887 (not @t828)) % 1.76/2.12 (assume @p888 (forall @t832 (or (tptp.class_Orderings_Opreorder @t831) (not (tptp.class_Orderings_Opreorder @t829))))) % 1.76/2.12 (assume @p889 (forall @t832 (or (tptp.class_Orderings_Oorder @t831) (not (tptp.class_Orderings_Oorder @t829))))) % 1.76/2.12 (assume @p890 (forall @t832 (or (tptp.class_Orderings_Obot @t831) (not (tptp.class_Orderings_Obot @t829))))) % 1.76/2.12 (assume @p891 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 1.76/2.12 (assume @p892 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 1.76/2.12 (assume @p893 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 1.76/2.12 (assume @p894 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 1.76/2.12 (assume @p895 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 1.76/2.12 (assume @p896 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 1.76/2.12 (assume @p897 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 1.76/2.12 (assume @p898 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 1.76/2.12 (assume @p899 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 1.76/2.12 (assume @p900 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 1.76/2.12 (assume @p901 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 1.76/2.12 (assume @p902 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 1.76/2.12 (assume @p903 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 1.76/2.12 (assume @p904 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 1.76/2.12 (assume @p905 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 1.76/2.12 (assume @p906 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 1.76/2.12 (assume @p907 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 1.76/2.12 (assume @p908 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 1.76/2.12 (assume @p909 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.76/2.12 (assume @p910 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 1.76/2.12 (assume @p911 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 1.76/2.12 (assume @p912 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 1.76/2.12 (assume @p913 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 1.76/2.12 (assume @p914 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 1.76/2.12 (assume @p915 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 1.76/2.12 (assume @p916 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 1.76/2.12 (assume @p917 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 1.76/2.12 (assume @p918 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 1.76/2.12 (assume @p919 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 1.76/2.12 (assume @p920 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 1.76/2.12 (assume @p921 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.76/2.12 (assume @p922 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.76/2.12 (assume @p923 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.76/2.12 (assume @p924 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.76/2.12 (assume @p925 (tptp.class_Power_Opower tptp.tc_nat)) % 1.76/2.12 (assume @p926 (forall @t337 (tptp.c_fequal @t67 @t67 @t25))) % 1.76/2.12 (assume @p927 (forall (@list @t834 @t833 @t25) (or (= @t834 @t833) (not (tptp.c_fequal @t834 @t833 @t25))))) % 1.76/2.12 (step @p928 :rule evaluate :args ((= false true))) % 1.76/2.12 (step @p929 :rule instantiate :premises (@p886) :args ((@list @t827 @t59))) % 1.76/2.12 (step @p930 :rule true_intro :premises (@p929)) % 1.76/2.12 (step @p931 :rule eq-symm :args (@t824 @t258)) % 1.76/2.12 (step @p932 :rule cong :premises (@p931) :args (@t825)) % 1.76/2.12 (step @p933 :rule eq_resolve :premises (@p884 @p932)) % 1.76/2.12 (step @p934 :rule instantiate :premises (@p933) :args ((@list tptp.v_e____ @t59 @t817 tptp.tc_Type_Otype))) % 1.76/2.12 (step @p935 :rule refl :args (@t826)) % 1.76/2.12 (step @p936 :rule refl :args (@t827)) % 1.76/2.12 (step @p937 :rule cong :premises (@p936 @p935 @p934) :args (@t828)) % 1.76/2.12 (step @p938 :rule false_intro :premises (@p887)) % 1.76/2.12 (step @p939 :rule symm :premises (@p938)) % 1.76/2.12 (step @p940 :rule trans :premises (@p939 @p937 @p930)) % 1.76/2.12 (step @p941 false :rule eq_resolve :premises (@p940 @p928)) % 1.76/2.12 ) % 1.76/2.12 % SZS output end Proof % 1.76/2.12 % cvc5 exiting %------------------------------------------------------------------------------