%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL795-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:52 AM UTC 2026 % Result : Unsatisfiable 0.94s 1.26s % Output : Proof 1.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL795-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.12/0.37 % Computer : n011.cluster.edu % 0.12/0.37 % Model : x86_64 x86_64 % 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.37 % Memory : 8046.5625MB % 0.12/0.37 % OS : Linux 6.8.0-71-generic % 0.12/0.37 % CPULimit : 300 % 0.12/0.37 % WCLimit : 300 % 0.12/0.37 % DateTime : Sat Sep 5 15:23:59 UTC 2026 % 0.12/0.38 % CPUTime : % 0.23/0.65 %----Proving TF0_NAR, FOF, or CNF % 0.23/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.26 % SZS status Unsatisfiable % 0.94/1.26 % SZS output start Proof % 1.04/1.31 ( % 1.04/1.31 (declare-sort $$unsorted 0) % 1.04/1.31 (declare-const tptp.v_a____ $$unsorted) % 1.04/1.31 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.tc_String_Ochar $$unsorted) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 1.04/1.31 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.v_u____ $$unsorted) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.v_T_H____ $$unsorted) % 1.04/1.31 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.t_a $$unsorted) % 1.04/1.31 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.v_as____ $$unsorted) % 1.04/1.31 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 1.04/1.31 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 1.04/1.31 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.v_T_H_H____ $$unsorted) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_nat_Onat__size (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_String_Ochar_Ochar__size (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Nitpick_Onat__gcd (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.v_Ts____ $$unsorted) % 1.04/1.31 (declare-const tptp.tc_nat $$unsorted) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Nat_Onat_Onat__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.v_sko__Nat__Xnat__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.v_sko__List__Xreplicate__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.v_n____ $$unsorted) % 1.04/1.31 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.v_i____ $$unsorted) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.tc_Type_Otype $$unsorted) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.v_sko__Nat__Xnat__Xinducts__1 (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.v_T____ $$unsorted) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.v_e____ $$unsorted) % 1.04/1.31 (declare-const tptp.v_sko__List__Xupt__Xinduct__1 (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 1.04/1.31 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.04/1.31 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 1.04/1.31 (define @t1 () (@var "V_d" $$unsorted)) % 1.04/1.31 (define @t2 () (@var "V_c" $$unsorted)) % 1.04/1.31 (define @t3 () (@var "T_a" $$unsorted)) % 1.04/1.31 (define @t4 () (@var "V_e" $$unsorted)) % 1.04/1.31 (define @t5 () (@var "V_b" $$unsorted)) % 1.04/1.31 (define @t6 () (@var "V_a" $$unsorted)) % 1.04/1.31 (define @t7 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t5 @t3)) % 1.04/1.31 (define @t8 () (tptp.c_HOL_Oplus__class_Oplus @t3)) % 1.04/1.31 (define @t9 () (tptp.hAPP (tptp.hAPP @t8 (tptp.c_HOL_Otimes__class_Otimes @t7 @t4 @t3)) @t2)) % 1.04/1.31 (define @t10 () (tptp.hAPP @t8 (tptp.c_HOL_Otimes__class_Otimes @t5 @t4 @t3))) % 1.04/1.31 (define @t11 () (tptp.hAPP @t10 @t1)) % 1.04/1.31 (define @t12 () (tptp.hAPP @t8 (tptp.c_HOL_Otimes__class_Otimes @t6 @t4 @t3))) % 1.04/1.31 (define @t13 () (tptp.hAPP @t12 @t2)) % 1.04/1.31 (define @t14 () (not (= @t13 @t11))) % 1.04/1.31 (define @t15 () (not (tptp.class_Ring__and__Field_Oring @t3))) % 1.04/1.31 (define @t16 () (@list @t3 @t6 @t4 @t2 @t5 @t1)) % 1.04/1.31 (define @t17 () (tptp.hAPP (tptp.hAPP @t8 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t5 @t6 @t3) @t4 @t3)) @t1)) % 1.04/1.31 (define @t18 () (@var "V_j" $$unsorted)) % 1.04/1.31 (define @t19 () (@var "V_i" $$unsorted)) % 1.04/1.31 (define @t20 () (not (tptp.c_lessequals @t19 @t18 tptp.tc_nat))) % 1.04/1.31 (define @t21 () (@var "V_n" $$unsorted)) % 1.04/1.31 (define @t22 () (@var "V_u" $$unsorted)) % 1.04/1.31 (define @t23 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t19 tptp.tc_nat)) % 1.04/1.31 (define @t24 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 1.04/1.31 (define @t25 () (tptp.hAPP (tptp.hAPP @t24 (tptp.c_HOL_Otimes__class_Otimes @t23 @t22 tptp.tc_nat)) @t21)) % 1.04/1.31 (define @t26 () (@var "V_m" $$unsorted)) % 1.04/1.31 (define @t27 () (tptp.c_HOL_Oord__class_Oless @t26 @t25 tptp.tc_nat)) % 1.04/1.31 (define @t28 () (tptp.hAPP @t24 (tptp.c_HOL_Otimes__class_Otimes @t18 @t22 tptp.tc_nat))) % 1.04/1.31 (define @t29 () (tptp.hAPP @t28 @t21)) % 1.04/1.31 (define @t30 () (tptp.hAPP @t24 (tptp.c_HOL_Otimes__class_Otimes @t19 @t22 tptp.tc_nat))) % 1.04/1.31 (define @t31 () (tptp.hAPP @t30 @t26)) % 1.04/1.31 (define @t32 () (tptp.c_HOL_Oord__class_Oless @t31 @t29 tptp.tc_nat)) % 1.04/1.31 (define @t33 () (@list @t19 @t22 @t26 @t18 @t21)) % 1.04/1.31 (define @t34 () (not @t32)) % 1.04/1.31 (define @t35 () (@list @t26 @t18 @t19 @t22 @t21)) % 1.04/1.31 (define @t36 () (not (tptp.c_lessequals @t18 @t19 tptp.tc_nat))) % 1.04/1.31 (define @t37 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t18 tptp.tc_nat)) % 1.04/1.31 (define @t38 () (tptp.hAPP (tptp.hAPP @t24 (tptp.c_HOL_Otimes__class_Otimes @t37 @t22 tptp.tc_nat)) @t26)) % 1.04/1.31 (define @t39 () (tptp.c_HOL_Oord__class_Oless @t38 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t40 () (@list @t19 @t18 @t22 @t26 @t21)) % 1.04/1.31 (define @t41 () (tptp.hAPP @t24 @t26)) % 1.04/1.31 (define @t42 () (tptp.hAPP @t41 @t21)) % 1.04/1.31 (define @t43 () (tptp.c_Suc @t42)) % 1.04/1.31 (define @t44 () (tptp.c_Suc @t26)) % 1.04/1.31 (define @t45 () (tptp.hAPP (tptp.hAPP @t24 @t44) @t21)) % 1.04/1.31 (define @t46 () (@list @t26 @t21)) % 1.04/1.31 (define @t47 () (tptp.c_Suc @t21)) % 1.04/1.31 (define @t48 () (tptp.hAPP @t41 @t47)) % 1.04/1.31 (define @t49 () (tptp.c_HOL_Ozero__class_Ozero @t3)) % 1.04/1.31 (define @t50 () (not (tptp.class_Power_Opower @t3))) % 1.04/1.31 (define @t51 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t3))) % 1.04/1.31 (define @t52 () (@list @t3 @t21)) % 1.04/1.31 (define @t53 () (tptp.c_HOL_Oord__class_Oless @t6 @t5 @t3)) % 1.04/1.31 (define @t54 () (not @t53)) % 1.04/1.31 (define @t55 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t1 @t3))) % 1.04/1.31 (define @t56 () (tptp.c_HOL_Oord__class_Oless @t49 @t5 @t3)) % 1.04/1.31 (define @t57 () (not @t56)) % 1.04/1.31 (define @t58 () (not (tptp.c_lessequals @t49 @t2 @t3))) % 1.04/1.31 (define @t59 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t1 @t3)) % 1.04/1.31 (define @t60 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t2 @t3)) % 1.04/1.31 (define @t61 () (tptp.c_HOL_Oord__class_Oless @t60 @t59 @t3)) % 1.04/1.31 (define @t62 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t3))) % 1.04/1.31 (define @t63 () (@list @t3 @t6 @t2 @t5 @t1)) % 1.04/1.31 (define @t64 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 1.04/1.31 (define @t65 () (@var "V_P" $$unsorted)) % 1.04/1.31 (define @t66 () (tptp.hBOOL (tptp.hAPP @t65 @t64))) % 1.04/1.31 (define @t67 () (not @t66)) % 1.04/1.31 (define @t68 () (tptp.v_sko__Nat__Xnat__Xinduct__1 @t65)) % 1.04/1.31 (define @t69 () (@var "V_nat" $$unsorted)) % 1.04/1.31 (define @t70 () (tptp.hBOOL (tptp.hAPP @t65 @t69))) % 1.04/1.31 (define @t71 () (@list @t65 @t69)) % 1.04/1.31 (define @t72 () (@var "V_x" $$unsorted)) % 1.04/1.31 (define @t73 () (@var "V_y" $$unsorted)) % 1.04/1.31 (define @t74 () (tptp.c_Orderings_Oord__class_Omin @t72 @t73 @t3)) % 1.04/1.31 (define @t75 () (not (tptp.class_Orderings_Olinorder @t3))) % 1.04/1.31 (define @t76 () (@list @t3 @t72 @t73)) % 1.04/1.31 (define @t77 () (tptp.c_lessequals @t72 @t6 @t3)) % 1.04/1.31 (define @t78 () (not @t77)) % 1.04/1.31 (define @t79 () (tptp.c_lessequals @t72 @t5 @t3)) % 1.04/1.31 (define @t80 () (not @t79)) % 1.04/1.31 (define @t81 () (tptp.c_Orderings_Oord__class_Omin @t6 @t5 @t3)) % 1.04/1.31 (define @t82 () (tptp.c_lessequals @t72 @t81 @t3)) % 1.04/1.31 (define @t83 () (@list @t3 @t72 @t6 @t5)) % 1.04/1.31 (define @t84 () (tptp.c_lessequals @t72 @t73 @t3)) % 1.04/1.31 (define @t85 () (not @t84)) % 1.04/1.31 (define @t86 () (@var "V_z" $$unsorted)) % 1.04/1.31 (define @t87 () (tptp.c_lessequals @t72 @t86 @t3)) % 1.04/1.31 (define @t88 () (not @t87)) % 1.04/1.31 (define @t89 () (tptp.c_Orderings_Oord__class_Omin @t73 @t86 @t3)) % 1.04/1.31 (define @t90 () (tptp.c_lessequals @t72 @t89 @t3)) % 1.04/1.31 (define @t91 () (@list @t3 @t72 @t73 @t86)) % 1.04/1.31 (define @t92 () (tptp.c_lessequals @t49 @t6 @t3)) % 1.04/1.31 (define @t93 () (not @t92)) % 1.04/1.31 (define @t94 () (tptp.c_Power_Opower__class_Opower @t6 @t21 @t3)) % 1.04/1.31 (define @t95 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t3))) % 1.04/1.31 (define @t96 () (@list @t3 @t6 @t21)) % 1.04/1.31 (define @t97 () (tptp.c_lessequals @t26 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t98 () (not @t97)) % 1.04/1.31 (define @t99 () (tptp.c_HOL_Ominus__class_Ominus @t26 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t100 () (= @t99 @t64)) % 1.04/1.31 (define @t101 () (not @t100)) % 1.04/1.31 (define @t102 () (tptp.c_HOL_Ominus__class_Ominus @t73 @t86 @t3)) % 1.04/1.31 (define @t103 () (tptp.c_HOL_Ominus__class_Ominus @t72 @t86 @t3)) % 1.04/1.31 (define @t104 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t3))) % 1.04/1.31 (define @t105 () (tptp.c_HOL_Oord__class_Oless @t72 @t86 @t3)) % 1.04/1.31 (define @t106 () (not @t105)) % 1.04/1.31 (define @t107 () (tptp.c_HOL_Oord__class_Oless @t73 @t86 @t3)) % 1.04/1.31 (define @t108 () (not @t107)) % 1.04/1.31 (define @t109 () (tptp.c_Orderings_Oord__class_Omax @t72 @t73 @t3)) % 1.04/1.31 (define @t110 () (tptp.c_HOL_Oord__class_Oless @t109 @t86 @t3)) % 1.04/1.31 (define @t111 () (@var "V_zs" $$unsorted)) % 1.04/1.31 (define @t112 () (@var "V_ys" $$unsorted)) % 1.04/1.31 (define @t113 () (= @t112 @t111)) % 1.04/1.31 (define @t114 () (@var "V_xs" $$unsorted)) % 1.04/1.31 (define @t115 () (tptp.c_List_Oappend @t114 @t112 @t3)) % 1.04/1.31 (define @t116 () (@list @t114 @t112 @t3 @t111)) % 1.04/1.31 (define @t117 () (@var "V_k" $$unsorted)) % 1.04/1.31 (define @t118 () (not (tptp.c_lessequals @t117 @t18 tptp.tc_nat))) % 1.04/1.31 (define @t119 () (tptp.hAPP @t24 @t117)) % 1.04/1.31 (define @t120 () (tptp.hAPP @t119 @t26)) % 1.04/1.31 (define @t121 () (tptp.c_Suc @t18)) % 1.04/1.31 (define @t122 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t123 () (tptp.c_Suc @t122)) % 1.04/1.31 (define @t124 () (= @t26 @t21)) % 1.04/1.31 (define @t125 () (tptp.c_List_Oreplicate @t26 @t72 @t3)) % 1.04/1.31 (define @t126 () (not (= @t125 (tptp.c_List_Oreplicate @t21 @t73 @t3)))) % 1.04/1.31 (define @t127 () (@list @t26 @t72 @t3 @t21 @t73)) % 1.04/1.31 (define @t128 () (tptp.c_HOL_Oord__class_Oless @t49 @t6 @t3)) % 1.04/1.31 (define @t129 () (not @t128)) % 1.04/1.31 (define @t130 () (not (tptp.c_lessequals @t5 @t2 @t3))) % 1.04/1.31 (define @t131 () (tptp.hAPP @t8 @t6)) % 1.04/1.31 (define @t132 () (tptp.hAPP @t131 @t2)) % 1.04/1.31 (define @t133 () (tptp.c_HOL_Oord__class_Oless @t5 @t132 @t3)) % 1.04/1.31 (define @t134 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t3))) % 1.04/1.31 (define @t135 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t3))) % 1.04/1.31 (define @t136 () (@list @t3 @t5 @t6 @t2)) % 1.04/1.31 (define @t137 () (tptp.c_HOL_Oord__class_Oless @t64 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t138 () (not @t137)) % 1.04/1.31 (define @t139 () (tptp.hAPP @t24 @t21)) % 1.04/1.31 (define @t140 () (tptp.hAPP @t139 @t117)) % 1.04/1.31 (define @t141 () (@list @t26 @t21 @t117)) % 1.04/1.31 (define @t142 () (tptp.c_Suc @t64)) % 1.04/1.31 (define @t143 () (tptp.hAPP (tptp.hAPP @t24 @t142) @t64)) % 1.04/1.31 (define @t144 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t21 @t3)) % 1.04/1.31 (define @t145 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t26 @t3)) % 1.04/1.31 (define @t146 () (tptp.c_lessequals @t145 @t144 @t3)) % 1.04/1.31 (define @t147 () (@list @t3 @t26 @t21)) % 1.04/1.31 (define @t148 () (@var "V_s" $$unsorted)) % 1.04/1.31 (define @t149 () (@var "V_r" $$unsorted)) % 1.04/1.31 (define @t150 () (not (tptp.c_Lambda_Obeta @t149 @t148))) % 1.04/1.31 (define @t151 () (@var "V_t" $$unsorted)) % 1.04/1.31 (define @t152 () (tptp.c_HOL_Oord__class_Oless @t86 @t72 @t3)) % 1.04/1.31 (define @t153 () (not @t152)) % 1.04/1.31 (define @t154 () (tptp.c_HOL_Oord__class_Oless @t86 @t73 @t3)) % 1.04/1.31 (define @t155 () (not @t154)) % 1.04/1.31 (define @t156 () (tptp.c_HOL_Oord__class_Oless @t86 @t74 @t3)) % 1.04/1.31 (define @t157 () (@list @t3 @t86 @t72 @t73)) % 1.04/1.31 (define @t158 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t73 tptp.tc_nat)) % 1.04/1.31 (define @t159 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t86 tptp.tc_nat)) % 1.04/1.31 (define @t160 () (@list @t72 @t73 @t86)) % 1.04/1.31 (define @t161 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t2 tptp.tc_nat)) % 1.04/1.31 (define @t162 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t1 tptp.tc_nat)) % 1.04/1.31 (define @t163 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t2 @t3)) % 1.04/1.31 (define @t164 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t1 @t3)) % 1.04/1.31 (define @t165 () (not (tptp.class_Int_Onumber__ring @t3))) % 1.04/1.31 (define @t166 () (not (tptp.class_Ring__and__Field_Oidom @t3))) % 1.04/1.31 (define @t167 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t73 @t3)) % 1.04/1.31 (define @t168 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t86 @t3)) % 1.04/1.31 (define @t169 () (tptp.hAPP (tptp.hAPP @t8 @t167) @t168)) % 1.04/1.31 (define @t170 () (= @t21 @t64)) % 1.04/1.31 (define @t171 () (@list @t21)) % 1.04/1.31 (define @t172 () (tptp.hAPP @t131 @t6)) % 1.04/1.31 (define @t173 () (tptp.c_lessequals @t49 @t172 @t3)) % 1.04/1.31 (define @t174 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t3))) % 1.04/1.31 (define @t175 () (@list @t3 @t6)) % 1.04/1.31 (define @t176 () (tptp.c_Lambda_OdB_OVar @t19)) % 1.04/1.31 (define @t177 () (tptp.c_HOL_Ominus__class_Ominus @t31 @t29 tptp.tc_nat)) % 1.04/1.31 (define @t178 () (not (tptp.class_OrderedGroup_Ogroup__add @t3))) % 1.04/1.31 (define @t179 () (@list @t3 @t6 @t5)) % 1.04/1.31 (define @t180 () (tptp.hBOOL (tptp.hAPP @t65 @t72))) % 1.04/1.31 (define @t181 () (tptp.hAPP @t24 @t5)) % 1.04/1.31 (define @t182 () (tptp.c_HOL_Otimes__class_Otimes @t21 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t183 () (tptp.c_HOL_Otimes__class_Otimes @t26 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t184 () (tptp.c_lessequals @t183 @t182 tptp.tc_nat)) % 1.04/1.31 (define @t185 () (@list @t26 @t117 @t21)) % 1.04/1.31 (define @t186 () (tptp.c_HOL_Otimes__class_Otimes @t117 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t187 () (tptp.c_HOL_Otimes__class_Otimes @t117 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t188 () (tptp.c_lessequals @t187 @t186 tptp.tc_nat)) % 1.04/1.31 (define @t189 () (@list @t117 @t26 @t21)) % 1.04/1.31 (define @t190 () (@var "V_q" $$unsorted)) % 1.04/1.31 (define @t191 () (@var "V_p" $$unsorted)) % 1.04/1.31 (define @t192 () (tptp.c_HOL_Otimes__class_Otimes @t191 @t190 tptp.tc_nat)) % 1.04/1.31 (define @t193 () (tptp.c_Power_Opower__class_Opower @t72 @t191 @t3)) % 1.04/1.31 (define @t194 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t3))) % 1.04/1.31 (define @t195 () (@list @t3 @t72 @t191 @t190)) % 1.04/1.31 (define @t196 () (tptp.v_sko__Nat__Xnat__Xinducts__1 @t65)) % 1.04/1.31 (define @t197 () (tptp.c_HOL_Otimes__class_Otimes @t94 @t6 @t3)) % 1.04/1.31 (define @t198 () (tptp.c_Power_Opower__class_Opower @t6 @t47 @t3)) % 1.04/1.31 (define @t199 () (not (tptp.class_OrderedGroup_Omonoid__mult @t3))) % 1.04/1.31 (define @t200 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t94 @t3)) % 1.04/1.31 (define @t201 () (tptp.c_Power_Opower__class_Opower @t72 @t190 @t3)) % 1.04/1.31 (define @t202 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t201 @t3)) % 1.04/1.31 (define @t203 () (tptp.c_Suc @t190)) % 1.04/1.31 (define @t204 () (tptp.c_Power_Opower__class_Opower @t72 @t203 @t3)) % 1.04/1.31 (define @t205 () (@list @t3 @t72 @t190)) % 1.04/1.31 (define @t206 () (@var "V_l" $$unsorted)) % 1.04/1.31 (define @t207 () (not (tptp.c_lessequals @t117 @t206 tptp.tc_nat))) % 1.04/1.31 (define @t208 () (tptp.hAPP @t24 @t18)) % 1.04/1.31 (define @t209 () (tptp.hAPP @t208 @t206)) % 1.04/1.31 (define @t210 () (tptp.hAPP @t24 @t19)) % 1.04/1.31 (define @t211 () (tptp.hAPP @t210 @t117)) % 1.04/1.31 (define @t212 () (@list @t19 @t117 @t18 @t206)) % 1.04/1.31 (define @t213 () (tptp.c_lessequals @t6 @t5 @t3)) % 1.04/1.31 (define @t214 () (not @t213)) % 1.04/1.31 (define @t215 () (not (tptp.c_lessequals @t2 @t1 @t3))) % 1.04/1.31 (define @t216 () (tptp.hAPP @t8 @t5)) % 1.04/1.31 (define @t217 () (tptp.hAPP @t216 @t1)) % 1.04/1.31 (define @t218 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t3))) % 1.04/1.31 (define @t219 () (tptp.c_HOL_Oord__class_Oless @t26 @t47 tptp.tc_nat)) % 1.04/1.31 (define @t220 () (not @t219)) % 1.04/1.31 (define @t221 () (tptp.c_Suc @t72)) % 1.04/1.31 (define @t222 () (tptp.c_HOL_Oord__class_Oless @t72 @t221 tptp.tc_nat)) % 1.04/1.31 (define @t223 () (tptp.c_lessequals @t72 @t72 tptp.tc_nat)) % 1.04/1.31 (define @t224 () (@list @t72)) % 1.04/1.31 (define @t225 () (tptp.c_List_Ofoldl @t8 @t49 @t114 @t3 @t3)) % 1.04/1.31 (define @t226 () (tptp.c_List_Olistsum @t114 @t3)) % 1.04/1.31 (define @t227 () (not (tptp.class_OrderedGroup_Omonoid__add @t3))) % 1.04/1.31 (define @t228 () (@list @t3 @t114)) % 1.04/1.31 (define @t229 () (tptp.c_HOL_Otimes__class_Otimes @t21 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t230 () (tptp.c_HOL_Otimes__class_Otimes @t26 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t231 () (tptp.hAPP @t8 @t49)) % 1.04/1.31 (define @t232 () (= (tptp.hAPP @t231 @t49) @t49)) % 1.04/1.31 (define @t233 () (not (tptp.c_lessequals @t49 @t49 @t3))) % 1.04/1.31 (define @t234 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t3))) % 1.04/1.31 (define @t235 () (@list @t3)) % 1.04/1.31 (define @t236 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t6 @t3)) % 1.04/1.31 (define @t237 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t5 @t3)) % 1.04/1.31 (define @t238 () (tptp.c_lessequals @t49 @t5 @t3)) % 1.04/1.31 (define @t239 () (not @t238)) % 1.04/1.31 (define @t240 () (tptp.hAPP @t131 @t5)) % 1.04/1.31 (define @t241 () (tptp.c_HOL_Oord__class_Oless @t72 @t73 @t3)) % 1.04/1.31 (define @t242 () (not @t241)) % 1.04/1.31 (define @t243 () (not (tptp.class_Orderings_Opreorder @t3))) % 1.04/1.31 (define @t244 () (@list @t3 @t72 @t86 @t73)) % 1.04/1.31 (define @t245 () (tptp.c_HOL_Oord__class_Oless @t73 @t72 @t3)) % 1.04/1.31 (define @t246 () (not @t245)) % 1.04/1.31 (define @t247 () (not (tptp.class_Orderings_Oorder @t3))) % 1.04/1.31 (define @t248 () (@var "V_T" $$unsorted)) % 1.04/1.31 (define @t249 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t151)) % 1.04/1.31 (define @t250 () (tptp.hAPP @t249 @t22)) % 1.04/1.31 (define @t251 () (not (tptp.c_Type_Otyping @t4 @t250 @t248))) % 1.04/1.31 (define @t252 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t248 @t4 @t151 @t22)) % 1.04/1.31 (define @t253 () (= @t109 @t73)) % 1.04/1.31 (define @t254 () (tptp.c_lessequals @t73 @t72 @t3)) % 1.04/1.31 (define @t255 () (not @t254)) % 1.04/1.31 (define @t256 () (tptp.hAPP @t8 @t72)) % 1.04/1.31 (define @t257 () (tptp.hAPP @t256 @t73)) % 1.04/1.31 (define @t258 () (tptp.hAPP @t8 @t73)) % 1.04/1.31 (define @t259 () (tptp.hAPP @t258 @t86)) % 1.04/1.31 (define @t260 () (tptp.hAPP @t256 @t259)) % 1.04/1.31 (define @t261 () (tptp.hAPP @t256 @t86)) % 1.04/1.31 (define @t262 () (not (tptp.class_OrderedGroup_Oab__group__add @t3))) % 1.04/1.31 (define @t263 () (tptp.hAPP @t24 @t72)) % 1.04/1.31 (define @t264 () (tptp.hAPP @t263 @t86)) % 1.04/1.31 (define @t265 () (tptp.hAPP @t24 @t73)) % 1.04/1.31 (define @t266 () (tptp.hAPP @t265 @t86)) % 1.04/1.31 (define @t267 () (tptp.c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1 @t65)) % 1.04/1.31 (define @t268 () (tptp.hAPP @t65 @t21)) % 1.04/1.31 (define @t269 () (tptp.hBOOL @t268)) % 1.04/1.31 (define @t270 () (@list @t19 @t26)) % 1.04/1.31 (define @t271 () (tptp.hAPP @t41 @t72)) % 1.04/1.31 (define @t272 () (@list @t26 @t72)) % 1.04/1.31 (define @t273 () (tptp.c_lessequals @t19 @t122 tptp.tc_nat)) % 1.04/1.31 (define @t274 () (tptp.c_lessequals @t211 @t18 tptp.tc_nat)) % 1.04/1.31 (define @t275 () (@list @t19 @t117 @t18)) % 1.04/1.31 (define @t276 () (@list @t19 @t18 @t117)) % 1.04/1.31 (define @t277 () (tptp.c_lessequals @t73 @t86 @t3)) % 1.04/1.31 (define @t278 () (not @t277)) % 1.04/1.31 (define @t279 () (tptp.c_lessequals @t109 @t86 @t3)) % 1.04/1.31 (define @t280 () (tptp.c_lessequals @t86 @t72 @t3)) % 1.04/1.31 (define @t281 () (not @t280)) % 1.04/1.31 (define @t282 () (tptp.c_Orderings_Oord__class_Omax @t73 @t86 @t3)) % 1.04/1.31 (define @t283 () (@list @t3 @t73 @t86 @t72)) % 1.04/1.31 (define @t284 () (tptp.c_lessequals @t6 @t72 @t3)) % 1.04/1.31 (define @t285 () (not @t284)) % 1.04/1.31 (define @t286 () (tptp.c_lessequals @t5 @t72 @t3)) % 1.04/1.31 (define @t287 () (not @t286)) % 1.04/1.31 (define @t288 () (tptp.c_Orderings_Oord__class_Omax @t6 @t5 @t3)) % 1.04/1.31 (define @t289 () (tptp.c_lessequals @t288 @t72 @t3)) % 1.04/1.31 (define @t290 () (@list @t3 @t6 @t5 @t72)) % 1.04/1.31 (define @t291 () (@list @t3 @t73 @t72)) % 1.04/1.31 (define @t292 () (tptp.c_List_Olist_ONil @t3)) % 1.04/1.31 (define @t293 () (tptp.c_List_Oappend @t114 @t292 @t3)) % 1.04/1.31 (define @t294 () (@list @t114 @t3)) % 1.04/1.31 (define @t295 () (@list @t72 @t3)) % 1.04/1.31 (define @t296 () (tptp.c_List_Oappend @t292 @t112 @t3)) % 1.04/1.31 (define @t297 () (@list @t3 @t72)) % 1.04/1.31 (define @t298 () (@var "V_f2" $$unsorted)) % 1.04/1.31 (define @t299 () (@var "V_f1" $$unsorted)) % 1.04/1.31 (define @t300 () (tptp.hAPP @t298 @t69)) % 1.04/1.31 (define @t301 () (tptp.c_Suc @t69)) % 1.04/1.31 (define @t302 () (@list @t299 @t298 @t69 @t3)) % 1.04/1.31 (define @t303 () (@var "V_r1" $$unsorted)) % 1.04/1.31 (define @t304 () (@var "V_r0" $$unsorted)) % 1.04/1.31 (define @t305 () (@var "V_pwr" $$unsorted)) % 1.04/1.31 (define @t306 () (@var "V_mul" $$unsorted)) % 1.04/1.31 (define @t307 () (@var "V_add" $$unsorted)) % 1.04/1.31 (define @t308 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t307 @t306 @t305 @t304 @t303 @t3))) % 1.04/1.31 (define @t309 () (tptp.hAPP @t305 @t72)) % 1.04/1.31 (define @t310 () (tptp.hAPP @t309 @t191)) % 1.04/1.31 (define @t311 () (tptp.c_Orderings_Oord__class_Omin @t73 @t72 @t3)) % 1.04/1.31 (define @t312 () (tptp.c_Orderings_Oord__class_Omin @t72 @t86 @t3)) % 1.04/1.31 (define @t313 () (tptp.c_Orderings_Oord__class_Omax @t74 @t312 @t3)) % 1.04/1.31 (define @t314 () (tptp.c_Orderings_Oord__class_Omin @t72 @t282 @t3)) % 1.04/1.31 (define @t315 () (tptp.c_lessequals @t5 @t132 @t3)) % 1.04/1.31 (define @t316 () (tptp.c_lessequals @t5 @t6 @t3)) % 1.04/1.31 (define @t317 () (not @t316)) % 1.04/1.31 (define @t318 () (tptp.v_sko__List__Xupt__Xinduct__1 @t65)) % 1.04/1.31 (define @t319 () (@var "V_nat_H" $$unsorted)) % 1.04/1.31 (define @t320 () (= @t69 @t319)) % 1.04/1.31 (define @t321 () (tptp.c_Type_Otype_OAtom @t69)) % 1.04/1.31 (define @t322 () (@list @t69 @t319)) % 1.04/1.31 (define @t323 () (tptp.v_sko__List__Xreplicate__Xinduct__1 @t65)) % 1.04/1.31 (define @t324 () (tptp.c_HOL_Oord__class_Oless @t26 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t325 () (not @t324)) % 1.04/1.31 (define @t326 () (tptp.c_lessequals @t44 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t327 () (not @t326)) % 1.04/1.31 (define @t328 () (tptp.c_HOL_Oord__class_Oless @t21 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t329 () (tptp.c_lessequals @t47 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t330 () (@list @t21 @t26)) % 1.04/1.31 (define @t331 () (not @t329)) % 1.04/1.31 (define @t332 () (tptp.c_HOL_Oord__class_Oless @t72 @t73 tptp.tc_nat)) % 1.04/1.31 (define @t333 () (not @t332)) % 1.04/1.31 (define @t334 () (tptp.c_HOL_Oord__class_Oless @t72 @t266 tptp.tc_nat)) % 1.04/1.31 (define @t335 () (tptp.hAPP @t210 @t18)) % 1.04/1.31 (define @t336 () (tptp.c_HOL_Oord__class_Oless @t19 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t337 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t18 tptp.tc_nat))) % 1.04/1.31 (define @t338 () (tptp.hAPP @t208 @t26)) % 1.04/1.31 (define @t339 () (@list @t19 @t18 @t26)) % 1.04/1.31 (define @t340 () (tptp.hAPP @t41 @t18)) % 1.04/1.31 (define @t341 () (@list @t19 @t26 @t18)) % 1.04/1.31 (define @t342 () (tptp.c_lessequals @t2 @t17 @t3)) % 1.04/1.31 (define @t343 () (tptp.c_lessequals @t13 @t11 @t3)) % 1.04/1.31 (define @t344 () (not (tptp.class_Ring__and__Field_Opordered__ring @t3))) % 1.04/1.31 (define @t345 () (not @t343)) % 1.04/1.31 (define @t346 () (@list @t3 @t2 @t5 @t6 @t4 @t1)) % 1.04/1.31 (define @t347 () (tptp.c_lessequals @t9 @t1 @t3)) % 1.04/1.31 (define @t348 () (@list @t3 @t6 @t5 @t4 @t2 @t1)) % 1.04/1.31 (define @t349 () (tptp.c_lessequals @t21 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t350 () (not @t349)) % 1.04/1.31 (define @t351 () (tptp.c_HOL_Ominus__class_Ominus @t44 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t352 () (tptp.c_HOL_Otimes__class_Otimes @t72 @t72 @t3)) % 1.04/1.31 (define @t353 () (tptp.hAPP (tptp.hAPP @t8 @t352) (tptp.c_HOL_Otimes__class_Otimes @t73 @t73 @t3))) % 1.04/1.31 (define @t354 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t3))) % 1.04/1.31 (define @t355 () (tptp.hAPP @t8 @t2)) % 1.04/1.31 (define @t356 () (tptp.hAPP @t355 @t6)) % 1.04/1.31 (define @t357 () (tptp.hAPP @t216 @t6)) % 1.04/1.31 (define @t358 () (tptp.hAPP @t139 @t26)) % 1.04/1.31 (define @t359 () (not (tptp.c_HOL_Oord__class_Oless @t117 @t206 tptp.tc_nat))) % 1.04/1.31 (define @t360 () (tptp.hAPP @t119 @t21)) % 1.04/1.31 (define @t361 () (= @t26 @t142)) % 1.04/1.31 (define @t362 () (not (= @t230 @t142))) % 1.04/1.31 (define @t363 () (= @t21 @t142)) % 1.04/1.31 (define @t364 () (tptp.c_HOL_Ominus__class_Ominus @t206 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t365 () (tptp.c_HOL_Ominus__class_Ominus @t206 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t366 () (@list @t206 @t21 @t26)) % 1.04/1.31 (define @t367 () (tptp.c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1 @t65)) % 1.04/1.31 (define @t368 () (@list @t65 @t21)) % 1.04/1.31 (define @t369 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t2 @t3)) % 1.04/1.31 (define @t370 () (tptp.c_HOL_Oord__class_Oless @t60 @t369 @t3)) % 1.04/1.31 (define @t371 () (not @t370)) % 1.04/1.31 (define @t372 () (@list @t3 @t6 @t5 @t2)) % 1.04/1.31 (define @t373 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t5 @t3)) % 1.04/1.31 (define @t374 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t6 @t3)) % 1.04/1.31 (define @t375 () (tptp.c_HOL_Oord__class_Oless @t374 @t373 @t3)) % 1.04/1.31 (define @t376 () (not @t375)) % 1.04/1.31 (define @t377 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t3))) % 1.04/1.31 (define @t378 () (tptp.c_lessequals @t86 @t109 @t3)) % 1.04/1.31 (define @t379 () (tptp.c_lessequals @t86 @t73 @t3)) % 1.04/1.31 (define @t380 () (@list @t3 @t86 @t73 @t72)) % 1.04/1.31 (define @t381 () (tptp.hAPP (tptp.hAPP @t24 @t191) @t190)) % 1.04/1.31 (define @t382 () (not @t269)) % 1.04/1.31 (define @t383 () (tptp.c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1 @t65 @t21)) % 1.04/1.31 (define @t384 () (tptp.hAPP @t309 @t190)) % 1.04/1.31 (define @t385 () (tptp.c_Lambda_OdB_OVar @t21)) % 1.04/1.31 (define @t386 () (not @t90)) % 1.04/1.31 (define @t387 () (tptp.c_lessequals @t74 @t86 @t3)) % 1.04/1.31 (define @t388 () (tptp.c_lessequals @t81 @t72 @t3)) % 1.04/1.31 (define @t389 () (not @t82)) % 1.04/1.31 (define @t390 () (= @t73 @t49)) % 1.04/1.31 (define @t391 () (not (tptp.c_lessequals @t49 @t72 @t3))) % 1.04/1.31 (define @t392 () (not (tptp.c_lessequals @t49 @t73 @t3))) % 1.04/1.31 (define @t393 () (not (= @t257 @t49))) % 1.04/1.31 (define @t394 () (= @t72 @t49)) % 1.04/1.31 (define @t395 () (= @t72 @t73)) % 1.04/1.31 (define @t396 () (@list @t72 @t73)) % 1.04/1.31 (define @t397 () (tptp.c_Suc @t319)) % 1.04/1.31 (define @t398 () (tptp.c_List_Ofoldl @t8 @t6 @t114 @t3 @t3)) % 1.04/1.31 (define @t399 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t3))) % 1.04/1.31 (define @t400 () (@var "V_dB_H" $$unsorted)) % 1.04/1.31 (define @t401 () (tptp.c_Lambda_OdB_OAbs @t400)) % 1.04/1.31 (define @t402 () (tptp.c_Lambda_OdB_OVar @t69)) % 1.04/1.31 (define @t403 () (tptp.c_HOL_Oord__class_Oless @t2 @t17 @t3)) % 1.04/1.31 (define @t404 () (tptp.c_HOL_Oord__class_Oless @t13 @t11 @t3)) % 1.04/1.31 (define @t405 () (not @t404)) % 1.04/1.31 (define @t406 () (tptp.c_HOL_Oord__class_Oless @t9 @t1 @t3)) % 1.04/1.31 (define @t407 () (not (= @t31 @t29))) % 1.04/1.31 (define @t408 () (tptp.c_HOL_Oord__class_Oless @t6 @t49 @t3)) % 1.04/1.31 (define @t409 () (not @t408)) % 1.04/1.31 (define @t410 () (tptp.c_HOL_Oord__class_Oless @t172 @t49 @t3)) % 1.04/1.31 (define @t411 () (not @t410)) % 1.04/1.31 (define @t412 () (not (tptp.class_Ring__and__Field_Oordered__idom @t3))) % 1.04/1.31 (define @t413 () (not (= @t142 @t42))) % 1.04/1.31 (define @t414 () (= @t26 @t64)) % 1.04/1.31 (define @t415 () (@list @t3 @t5 @t6)) % 1.04/1.31 (define @t416 () (tptp.c_HOL_Oord__class_Oless @t49 @t237 @t3)) % 1.04/1.31 (define @t417 () (not (tptp.c_HOL_Oord__class_Oless @t5 @t49 @t3))) % 1.04/1.31 (define @t418 () (tptp.c_HOL_Oord__class_Oless @t64 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t419 () (not @t418)) % 1.04/1.31 (define @t420 () (tptp.c_HOL_Oord__class_Oless @t64 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t421 () (not @t420)) % 1.04/1.31 (define @t422 () (tptp.c_HOL_Oord__class_Oless @t64 @t230 tptp.tc_nat)) % 1.04/1.31 (define @t423 () (tptp.c_Power_Opower__class_Opower @t5 @t21 @t3)) % 1.04/1.31 (define @t424 () (tptp.c_HOL_Oord__class_Oless @t94 @t423 @t3)) % 1.04/1.31 (define @t425 () (@list @t3 @t6 @t5 @t21)) % 1.04/1.31 (define @t426 () (tptp.hAPP @t216 @t2)) % 1.04/1.31 (define @t427 () (tptp.hAPP @t131 @t426)) % 1.04/1.31 (define @t428 () (tptp.hAPP @t8 @t240)) % 1.04/1.31 (define @t429 () (tptp.hAPP @t428 @t2)) % 1.04/1.31 (define @t430 () (= @t429 @t427)) % 1.04/1.31 (define @t431 () (tptp.hAPP @t8 @t132)) % 1.04/1.31 (define @t432 () (tptp.hAPP @t355 @t1)) % 1.04/1.31 (define @t433 () (tptp.hAPP @t131 @t432)) % 1.04/1.31 (define @t434 () (@list @t3 @t6 @t2 @t1)) % 1.04/1.31 (define @t435 () (tptp.c_HOL_Oord__class_Oless @t64 @t42 tptp.tc_nat)) % 1.04/1.31 (define @t436 () (tptp.c_Power_Opower__class_Opower @t6 @t26 @t3)) % 1.04/1.31 (define @t437 () (@list @t3 @t6 @t26 @t21)) % 1.04/1.31 (define @t438 () (tptp.c_lessequals @t142 @t230 tptp.tc_nat)) % 1.04/1.31 (define @t439 () (not @t438)) % 1.04/1.31 (define @t440 () (tptp.c_lessequals @t142 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t441 () (tptp.c_lessequals @t142 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t442 () (tptp.c_List_Olist_OCons @t72 @t114 @t3)) % 1.04/1.31 (define @t443 () (@list @t72 @t114 @t3)) % 1.04/1.31 (define @t444 () (tptp.c_List_Oreplicate @t21 @t72 @t3)) % 1.04/1.31 (define @t445 () (@list @t21 @t72 @t3)) % 1.04/1.31 (define @t446 () (tptp.hAPP @t41 @t117)) % 1.04/1.31 (define @t447 () (not (tptp.c_lessequals @t446 @t21 tptp.tc_nat))) % 1.04/1.31 (define @t448 () (tptp.c_lessequals @t117 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t449 () (tptp.c_lessequals @t72 @t266 tptp.tc_nat)) % 1.04/1.31 (define @t450 () (tptp.c_lessequals @t72 @t73 tptp.tc_nat)) % 1.04/1.31 (define @t451 () (= @t74 @t72)) % 1.04/1.31 (define @t452 () (@var "V_ts" $$unsorted)) % 1.04/1.31 (define @t453 () (tptp.c_Type_Otyping @t4 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t151 @t452 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t248)) % 1.04/1.31 (define @t454 () (not @t453)) % 1.04/1.31 (define @t455 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t248 @t4 @t151 @t452)) % 1.04/1.31 (define @t456 () (@list @t4 @t452 @t248 @t151)) % 1.04/1.31 (define @t457 () (tptp.c_HOL_Oord__class_Oless @t72 @t72 @t3)) % 1.04/1.31 (define @t458 () (not @t457)) % 1.04/1.31 (define @t459 () (tptp.c_lessequals @t72 @t72 @t3)) % 1.04/1.31 (define @t460 () (tptp.c_Lambda_OdB_OVar @t72)) % 1.04/1.31 (define @t461 () (tptp.c_HOL_Oord__class_Oless @t72 @t72 tptp.tc_nat)) % 1.04/1.31 (define @t462 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t65)) % 1.04/1.31 (define @t463 () (tptp.hBOOL (tptp.hAPP @t65 @t248))) % 1.04/1.31 (define @t464 () (tptp.c_Orderings_Oord__class_Omin @t72 @t89 @t3)) % 1.04/1.31 (define @t465 () (tptp.hAPP @t24 @t64)) % 1.04/1.31 (define @t466 () (tptp.hAPP @t465 @t142)) % 1.04/1.31 (define @t467 () (not (tptp.c_HOL_Oord__class_Oless @t5 @t2 @t3))) % 1.04/1.31 (define @t468 () (not (tptp.c_lessequals @t117 @t26 tptp.tc_nat))) % 1.04/1.31 (define @t469 () (not @t448)) % 1.04/1.31 (define @t470 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t471 () (tptp.c_HOL_Ominus__class_Ominus @t26 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t472 () (tptp.c_lessequals @t471 @t470 tptp.tc_nat)) % 1.04/1.31 (define @t473 () (tptp.hAPP @t208 @t117)) % 1.04/1.31 (define @t474 () (tptp.c_HOL_Ominus__class_Ominus @t37 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t475 () (@list @t3 @t6 @t21 @t5)) % 1.04/1.31 (define @t476 () (@var "V_xa" $$unsorted)) % 1.04/1.31 (define @t477 () (tptp.c_HOL_Ominus__class_Ominus @t72 @t72 @t3)) % 1.04/1.31 (define @t478 () (@var "V_y_H" $$unsorted)) % 1.04/1.31 (define @t479 () (@var "V_x_H" $$unsorted)) % 1.04/1.31 (define @t480 () (tptp.c_HOL_Ominus__class_Ominus @t479 @t478 @t3)) % 1.04/1.31 (define @t481 () (not (= @t187 @t186))) % 1.04/1.31 (define @t482 () (tptp.c_HOL_Oord__class_Oless @t183 @t182 tptp.tc_nat)) % 1.04/1.31 (define @t483 () (not @t482)) % 1.04/1.31 (define @t484 () (tptp.c_HOL_Oord__class_Oless @t187 @t186 tptp.tc_nat)) % 1.04/1.31 (define @t485 () (not @t484)) % 1.04/1.31 (define @t486 () (@var "T_b" $$unsorted)) % 1.04/1.31 (define @t487 () (@var "V_f" $$unsorted)) % 1.04/1.31 (define @t488 () (tptp.c_List_Olist_OCons @t72 @t114 @t486)) % 1.04/1.31 (define @t489 () (not @t188)) % 1.04/1.31 (define @t490 () (tptp.c_HOL_Oord__class_Oless @t2 @t49 @t3)) % 1.04/1.31 (define @t491 () (not @t490)) % 1.04/1.31 (define @t492 () (tptp.c_lessequals @t374 @t373 @t3)) % 1.04/1.31 (define @t493 () (not @t492)) % 1.04/1.31 (define @t494 () (@list @t3 @t2 @t6 @t5)) % 1.04/1.31 (define @t495 () (tptp.c_HOL_Oord__class_Oless @t49 @t2 @t3)) % 1.04/1.31 (define @t496 () (not @t495)) % 1.04/1.31 (define @t497 () (tptp.c_lessequals @t60 @t369 @t3)) % 1.04/1.31 (define @t498 () (not (tptp.c_HOL_Oord__class_Oless @t142 @t21 tptp.tc_nat))) % 1.04/1.31 (define @t499 () (not (tptp.c_HOL_Oord__class_Oless @t142 @t26 tptp.tc_nat))) % 1.04/1.31 (define @t500 () (tptp.c_HOL_Oord__class_Oless @t72 @t288 @t3)) % 1.04/1.31 (define @t501 () (tptp.c_HOL_Oord__class_Oless @t86 @t109 @t3)) % 1.04/1.31 (define @t502 () (not @t110)) % 1.04/1.31 (define @t503 () (tptp.c_Lambda_OdB_OAbs @t149)) % 1.04/1.31 (define @t504 () (@var "V_ss" $$unsorted)) % 1.04/1.31 (define @t505 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t148 @t504 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.04/1.31 (define @t506 () (@list @t149 @t148 @t504)) % 1.04/1.31 (define @t507 () (not @t422)) % 1.04/1.31 (define @t508 () (tptp.c_HOL_Oord__class_Oless @t240 @t49 @t3)) % 1.04/1.31 (define @t509 () (not (tptp.c_lessequals @t353 @t49 @t3))) % 1.04/1.31 (define @t510 () (tptp.c_List_Olist_OCons @t72 (tptp.c_List_Oappend @t476 @t111 @t3) @t3)) % 1.04/1.31 (define @t511 () (tptp.c_List_Olist_OCons @t72 @t476 @t3)) % 1.04/1.31 (define @t512 () (tptp.c_List_Oappend @t511 @t111 @t3)) % 1.04/1.31 (define @t513 () (tptp.hAPP @t298 @t476)) % 1.04/1.31 (define @t514 () (@list @t65 @t299 @t298 @t69)) % 1.04/1.31 (define @t515 () (tptp.c_HOL_Oord__class_Oless @t81 @t72 @t3)) % 1.04/1.31 (define @t516 () (not @t279)) % 1.04/1.31 (define @t517 () (not @t379)) % 1.04/1.31 (define @t518 () (tptp.c_lessequals @t72 @t288 @t3)) % 1.04/1.31 (define @t519 () (not @t289)) % 1.04/1.31 (define @t520 () (tptp.c_lessequals @t122 @t19 tptp.tc_nat)) % 1.04/1.31 (define @t521 () (tptp.c_lessequals @t18 @t211 tptp.tc_nat)) % 1.04/1.31 (define @t522 () (@list @t18 @t19 @t117)) % 1.04/1.31 (define @t523 () (@list @t18 @t117 @t19)) % 1.04/1.31 (define @t524 () (tptp.c_List_Olist_ONil @t486)) % 1.04/1.31 (define @t525 () (= @t114 @t292)) % 1.04/1.31 (define @t526 () (not (= @t292 @t115))) % 1.04/1.31 (define @t527 () (@list @t3 @t114 @t112)) % 1.04/1.31 (define @t528 () (= @t112 @t292)) % 1.04/1.31 (define @t529 () (@var "V_dB" $$unsorted)) % 1.04/1.31 (define @t530 () (tptp.c_lessequals @t31 @t29 tptp.tc_nat)) % 1.04/1.31 (define @t531 () (not @t530)) % 1.04/1.31 (define @t532 () (tptp.c_lessequals @t38 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t533 () (tptp.c_lessequals @t26 @t25 tptp.tc_nat)) % 1.04/1.31 (define @t534 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t3))) % 1.04/1.31 (define @t535 () (not (= @t115 @t292))) % 1.04/1.31 (define @t536 () (@list @t114 @t112 @t3)) % 1.04/1.31 (define @t537 () (tptp.c_HOL_Oord__class_Oless @t74 @t86 @t3)) % 1.04/1.31 (define @t538 () (@var "V_w" $$unsorted)) % 1.04/1.31 (define @t539 () (= @t538 @t72)) % 1.04/1.31 (define @t540 () (= @t73 @t86)) % 1.04/1.31 (define @t541 () (= @t6 @t5)) % 1.04/1.31 (define @t542 () (= @t2 @t1)) % 1.04/1.31 (define @t543 () (tptp.hAPP @t8 @t60)) % 1.04/1.31 (define @t544 () (@var "V_dB2_H" $$unsorted)) % 1.04/1.31 (define @t545 () (@var "V_dB1_H" $$unsorted)) % 1.04/1.31 (define @t546 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t545) @t544)) % 1.04/1.31 (define @t547 () (tptp.c_lessequals @t6 @t49 @t3)) % 1.04/1.31 (define @t548 () (not @t547)) % 1.04/1.31 (define @t549 () (tptp.c_lessequals @t5 @t49 @t3)) % 1.04/1.31 (define @t550 () (not @t549)) % 1.04/1.31 (define @t551 () (tptp.c_HOL_Oord__class_Oless @t21 @t44 tptp.tc_nat)) % 1.04/1.31 (define @t552 () (not @t551)) % 1.04/1.31 (define @t553 () (= @t21 @t26)) % 1.04/1.31 (define @t554 () (tptp.c_HOL_Otimes__class_Otimes @t49 @t49 @t3)) % 1.04/1.31 (define @t555 () (tptp.hAPP (tptp.hAPP @t8 @t554) @t554)) % 1.04/1.31 (define @t556 () (tptp.hAPP @t210 @t122)) % 1.04/1.31 (define @t557 () (tptp.c_HOL_Ominus__class_Ominus @t335 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t558 () (tptp.hAPP (tptp.hAPP @t24 @t122) @t19)) % 1.04/1.31 (define @t559 () (tptp.hAPP @t208 @t19)) % 1.04/1.31 (define @t560 () (tptp.c_HOL_Ominus__class_Ominus @t559 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t561 () (@var "V_ry" $$unsorted)) % 1.04/1.31 (define @t562 () (@var "V_ly" $$unsorted)) % 1.04/1.31 (define @t563 () (@var "V_rx" $$unsorted)) % 1.04/1.31 (define @t564 () (@var "V_lx" $$unsorted)) % 1.04/1.31 (define @t565 () (tptp.c_HOL_Otimes__class_Otimes @t564 @t563 @t3)) % 1.04/1.31 (define @t566 () (tptp.c_HOL_Otimes__class_Otimes @t563 @t561 @t3)) % 1.04/1.31 (define @t567 () (tptp.c_HOL_Otimes__class_Otimes @t564 @t562 @t3)) % 1.04/1.31 (define @t568 () (tptp.c_HOL_Otimes__class_Otimes @t567 @t566 @t3)) % 1.04/1.31 (define @t569 () (@list @t3 @t564 @t562 @t563 @t561)) % 1.04/1.31 (define @t570 () (not (tptp.c_HOL_Oord__class_Oless @t18 @t117 tptp.tc_nat))) % 1.04/1.31 (define @t571 () (tptp.c_Lambda_OdB_OVar @t26)) % 1.04/1.31 (define @t572 () (tptp.hAPP @t299 @t69)) % 1.04/1.31 (define @t573 () (tptp.c_List_Oreplicate @t64 @t72 @t3)) % 1.04/1.31 (define @t574 () (tptp.hAPP @t119 @t19)) % 1.04/1.31 (define @t575 () (@list @t19 @t117)) % 1.04/1.31 (define @t576 () (tptp.c_Lambda_OdB_OAbs @t148)) % 1.04/1.31 (define @t577 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t576) @t151)) % 1.04/1.31 (define @t578 () (@list @t148 @t151)) % 1.04/1.31 (define @t579 () (tptp.c_HOL_Oord__class_Oless @t49 @t240 @t3)) % 1.04/1.31 (define @t580 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t581 () (@list @t3 @t72 @t114)) % 1.04/1.31 (define @t582 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t176 @t452 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.04/1.31 (define @t583 () (@var "V_U" $$unsorted)) % 1.04/1.31 (define @t584 () (tptp.c_List_Oreplicate @t117 @t72 @t3)) % 1.04/1.31 (define @t585 () (tptp.c_lessequals @t7 @t49 @t3)) % 1.04/1.31 (define @t586 () (@var "V_dB2" $$unsorted)) % 1.04/1.31 (define @t587 () (@var "V_dB1" $$unsorted)) % 1.04/1.31 (define @t588 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t587) @t586)) % 1.04/1.31 (define @t589 () (not (= @t588 @t546))) % 1.04/1.31 (define @t590 () (@list @t587 @t586 @t545 @t544)) % 1.04/1.31 (define @t591 () (tptp.c_HOL_Oord__class_Oless @t132 @t217 @t3)) % 1.04/1.31 (define @t592 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t3))) % 1.04/1.31 (define @t593 () (@var "V_rs" $$unsorted)) % 1.04/1.31 (define @t594 () (= @t593 @t504)) % 1.04/1.31 (define @t595 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t503 @t593 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t576 @t504 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 1.04/1.31 (define @t596 () (@list @t149 @t593 @t148 @t504)) % 1.04/1.31 (define @t597 () (= @t149 @t148)) % 1.04/1.31 (define @t598 () (@var "V_list_H" $$unsorted)) % 1.04/1.31 (define @t599 () (@var "V_a_H" $$unsorted)) % 1.04/1.31 (define @t600 () (tptp.c_List_Olist_OCons @t599 @t598 @t3)) % 1.04/1.31 (define @t601 () (not @t156)) % 1.04/1.31 (define @t602 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t5 tptp.tc_nat))) % 1.04/1.31 (define @t603 () (tptp.c_lessequals @t237 @t49 @t3)) % 1.04/1.31 (define @t604 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t3))) % 1.04/1.31 (define @t605 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t6 @t3)) % 1.04/1.31 (define @t606 () (tptp.c_Suc @t117)) % 1.04/1.31 (define @t607 () (tptp.c_HOL_Otimes__class_Otimes @t606 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t608 () (tptp.c_HOL_Otimes__class_Otimes @t606 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t609 () (tptp.c_HOL_Oord__class_Oless @t608 @t607 tptp.tc_nat)) % 1.04/1.31 (define @t610 () (tptp.c_HOL_Oord__class_Oless @t44 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t611 () (= @t5 @t2)) % 1.04/1.31 (define @t612 () (not (= @t240 @t132))) % 1.04/1.31 (define @t613 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t3))) % 1.04/1.31 (define @t614 () (@var "V_xs1" $$unsorted)) % 1.04/1.31 (define @t615 () (tptp.hAPP @t306 @t384)) % 1.04/1.31 (define @t616 () (tptp.hAPP @t306 @t72)) % 1.04/1.31 (define @t617 () (tptp.hAPP @t616 @t73)) % 1.04/1.31 (define @t618 () (tptp.hAPP @t307 @t73)) % 1.04/1.31 (define @t619 () (tptp.hAPP @t618 @t86)) % 1.04/1.31 (define @t620 () (tptp.hAPP @t306 @t73)) % 1.04/1.31 (define @t621 () (tptp.hAPP @t306 @t303)) % 1.04/1.31 (define @t622 () (tptp.hAPP @t306 @t304)) % 1.04/1.31 (define @t623 () (tptp.hAPP @t307 @t72)) % 1.04/1.31 (define @t624 () (tptp.hAPP @t623 @t73)) % 1.04/1.31 (define @t625 () (tptp.hAPP @t307 @t304)) % 1.04/1.31 (define @t626 () (tptp.hAPP @t307 @t6)) % 1.04/1.31 (define @t627 () (tptp.hAPP @t626 @t2)) % 1.04/1.31 (define @t628 () (tptp.hAPP @t307 @t627)) % 1.04/1.31 (define @t629 () (tptp.hAPP @t307 @t2)) % 1.04/1.31 (define @t630 () (tptp.hAPP @t629 @t1)) % 1.04/1.31 (define @t631 () (tptp.hAPP @t626 @t630)) % 1.04/1.31 (define @t632 () (@list @t307 @t6 @t2 @t1 @t306 @t305 @t304 @t303 @t3)) % 1.04/1.31 (define @t633 () (tptp.hAPP @t626 @t5)) % 1.04/1.31 (define @t634 () (tptp.hAPP @t307 @t633)) % 1.04/1.31 (define @t635 () (tptp.hAPP @t634 @t2)) % 1.04/1.31 (define @t636 () (@list @t307 @t6 @t5 @t2 @t306 @t305 @t304 @t303 @t3)) % 1.04/1.31 (define @t637 () (tptp.hAPP @t307 @t5)) % 1.04/1.31 (define @t638 () (tptp.hAPP @t306 @t564)) % 1.04/1.31 (define @t639 () (tptp.hAPP @t306 @t563)) % 1.04/1.31 (define @t640 () (tptp.hAPP @t639 @t561)) % 1.04/1.31 (define @t641 () (tptp.hAPP @t638 @t640)) % 1.04/1.31 (define @t642 () (@list @t306 @t564 @t563 @t561 @t307 @t305 @t304 @t303 @t3)) % 1.04/1.31 (define @t643 () (tptp.hAPP @t306 (tptp.hAPP @t638 @t563))) % 1.04/1.31 (define @t644 () (tptp.hAPP @t306 @t562)) % 1.04/1.31 (define @t645 () (tptp.hAPP @t306 (tptp.hAPP @t638 @t562))) % 1.04/1.31 (define @t646 () (tptp.hAPP @t645 @t563)) % 1.04/1.31 (define @t647 () (@list @t306 @t564 @t562 @t563 @t307 @t305 @t304 @t303 @t3)) % 1.04/1.31 (define @t648 () (tptp.hAPP @t645 @t640)) % 1.04/1.31 (define @t649 () (@list @t306 @t564 @t562 @t563 @t561 @t307 @t305 @t304 @t303 @t3)) % 1.04/1.31 (define @t650 () (tptp.hAPP @t306 @t6)) % 1.04/1.31 (define @t651 () (tptp.hAPP @t306 @t5)) % 1.04/1.31 (define @t652 () (tptp.hAPP @t306 @t633)) % 1.04/1.31 (define @t653 () (tptp.hAPP @t307 @t26)) % 1.04/1.31 (define @t654 () (tptp.hAPP (tptp.hAPP @t306 (tptp.hAPP @t626 @t303)) @t26)) % 1.04/1.31 (define @t655 () (tptp.hAPP @t650 @t26)) % 1.04/1.31 (define @t656 () (tptp.hAPP @t307 @t655)) % 1.04/1.31 (define @t657 () (@var "V_xc" $$unsorted)) % 1.04/1.31 (define @t658 () (not (= @t42 @t142))) % 1.04/1.31 (define @t659 () (tptp.c_lessequals @t608 @t607 tptp.tc_nat)) % 1.04/1.31 (define @t660 () (tptp.c_HOL_Oord__class_Oless @t49 @t353 @t3)) % 1.04/1.31 (define @t661 () (not (tptp.c_InductTermi_OIT @t149))) % 1.04/1.31 (define @t662 () (not (tptp.c_Lambda_Obeta @t148 @t151))) % 1.04/1.31 (define @t663 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t22)) % 1.04/1.31 (define @t664 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t148)) % 1.04/1.31 (define @t665 () (@list @t3 @t26)) % 1.04/1.31 (define @t666 () (tptp.c_Orderings_Oord__class_Omax @t73 @t72 @t3)) % 1.04/1.31 (define @t667 () (tptp.c_HOL_Otimes__class_Otimes @t26 @t26 tptp.tc_nat)) % 1.04/1.31 (define @t668 () (@list @t26)) % 1.04/1.31 (define @t669 () (tptp.c_HOL_Oord__class_Oless @t5 @t6 @t3)) % 1.04/1.31 (define @t670 () (tptp.c_HOL_Ominus__class_Ominus @t21 @t19 tptp.tc_nat)) % 1.04/1.31 (define @t671 () (@list @t21 @t19)) % 1.04/1.31 (define @t672 () (tptp.c_HOL_Oord__class_Oless @t7 @t49 @t3)) % 1.04/1.31 (define @t673 () (tptp.c_HOL_Oord__class_Oless @t145 @t144 @t3)) % 1.04/1.31 (define @t674 () (tptp.c_Suc @t19)) % 1.04/1.31 (define @t675 () (tptp.c_lessequals @t132 @t426 @t3)) % 1.04/1.31 (define @t676 () (@list @t3 @t6 @t2 @t5)) % 1.04/1.31 (define @t677 () (tptp.hAPP @t355 @t5)) % 1.04/1.31 (define @t678 () (tptp.c_lessequals @t356 @t677 @t3)) % 1.04/1.31 (define @t679 () (tptp.c_lessequals @t120 @t360 tptp.tc_nat)) % 1.04/1.31 (define @t680 () (@list @t19 @t18)) % 1.04/1.31 (define @t681 () (= (tptp.hAPP @t139 @t99) @t26)) % 1.04/1.31 (define @t682 () (tptp.hAPP @t309 @t203)) % 1.04/1.31 (define @t683 () (tptp.hAPP @t616 @t384)) % 1.04/1.31 (define @t684 () (tptp.c_Power_Opower__class_Opower @t5 @t47 @t3)) % 1.04/1.31 (define @t685 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t3))) % 1.04/1.31 (define @t686 () (tptp.c_HOL_Oord__class_Oless @t49 @t144 @t3)) % 1.04/1.31 (define @t687 () (not @t603)) % 1.04/1.31 (define @t688 () (tptp.c_HOL_Oord__class_Oless @t237 @t49 @t3)) % 1.04/1.31 (define @t689 () (tptp.c_lessequals @t26 @t47 tptp.tc_nat)) % 1.04/1.31 (define @t690 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t248 @t4 @t151 @t452)) % 1.04/1.31 (define @t691 () (tptp.c_HOL_Oord__class_Oless @t471 @t470 tptp.tc_nat)) % 1.04/1.31 (define @t692 () (not (tptp.c_HOL_Oord__class_Oless @t18 @t19 tptp.tc_nat))) % 1.04/1.31 (define @t693 () (tptp.c_Lambda_OdB_OVar @t18)) % 1.04/1.31 (define @t694 () (tptp.c_lessequals @t172 @t49 @t3)) % 1.04/1.31 (define @t695 () (not (tptp.c_lessequals @t2 @t49 @t3))) % 1.04/1.31 (define @t696 () (not (tptp.class_Ring__and__Field_Omult__mono @t3))) % 1.04/1.31 (define @t697 () (tptp.c_List_Oappend @t292 @t442 @t3)) % 1.04/1.31 (define @t698 () (not (= @t353 @t49))) % 1.04/1.31 (define @t699 () (tptp.c_HOL_Oord__class_Oless @t19 @t122 tptp.tc_nat)) % 1.04/1.31 (define @t700 () (tptp.c_HOL_Oord__class_Oless @t211 @t18 tptp.tc_nat)) % 1.04/1.31 (define @t701 () (tptp.c_HOL_Oord__class_Oless @t132 @t426 @t3)) % 1.04/1.31 (define @t702 () (tptp.c_HOL_Oord__class_Oless @t356 @t677 @t3)) % 1.04/1.31 (define @t703 () (tptp.c_HOL_Oord__class_Oless @t120 @t360 tptp.tc_nat)) % 1.04/1.31 (define @t704 () (tptp.c_Orderings_Oord__class_Omin @t26 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t705 () (tptp.c_HOL_Otimes__class_Otimes @t117 @t18 tptp.tc_nat)) % 1.04/1.31 (define @t706 () (tptp.c_HOL_Otimes__class_Otimes @t117 @t19 tptp.tc_nat)) % 1.04/1.31 (define @t707 () (@list @t117 @t19 @t18)) % 1.04/1.31 (define @t708 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t709 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t117 tptp.tc_nat)) % 1.04/1.31 (define @t710 () (not @t669)) % 1.04/1.31 (define @t711 () (not (tptp.c_InductTermi_OIT @t151))) % 1.04/1.31 (define @t712 () (@list @t151 @t19)) % 1.04/1.31 (define @t713 () (tptp.c_lessequals @t60 @t59 @t3)) % 1.04/1.31 (define @t714 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t3))) % 1.04/1.31 (define @t715 () (tptp.c_Orderings_Oord__class_Omax @t72 @t282 @t3)) % 1.04/1.31 (define @t716 () (tptp.c_Orderings_Oord__class_Omax @t72 @t86 @t3)) % 1.04/1.31 (define @t717 () (tptp.c_List_Oappend @t292 @t292 @t3)) % 1.04/1.31 (define @t718 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t385 @t504 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 1.04/1.31 (define @t719 () (tptp.c_Lambda_OdB_OAbs @t151)) % 1.04/1.31 (define @t720 () (tptp.c_List_Oreplicate @t19 @t72 @t3)) % 1.04/1.31 (define @t721 () (tptp.c_List_Olist_OCons @t72 @t292 @t3)) % 1.04/1.31 (define @t722 () (tptp.c_lessequals @t49 @t237 @t3)) % 1.04/1.31 (define @t723 () (not @t722)) % 1.04/1.31 (define @t724 () (tptp.c_List_Oappend @t114 @t112 @t486)) % 1.04/1.31 (define @t725 () (tptp.c_HOL_Oord__class_Oless @t44 @t47 tptp.tc_nat)) % 1.04/1.31 (define @t726 () (tptp.c_HOL_Oord__class_Oless @t49 @t172 @t3)) % 1.04/1.31 (define @t727 () (not (tptp.c_Type_Otyping @t4 @t719 @t248))) % 1.04/1.31 (define @t728 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t248 @t4 @t151)) % 1.04/1.31 (define @t729 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t248 @t4 @t151)) % 1.04/1.31 (define @t730 () (= @t6 @t49)) % 1.04/1.31 (define @t731 () (not (= @t94 @t49))) % 1.04/1.31 (define @t732 () (not (tptp.class_Ring__and__Field_Omult__zero @t3))) % 1.04/1.31 (define @t733 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t3))) % 1.04/1.31 (define @t734 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t3))) % 1.04/1.31 (define @t735 () (= (tptp.c_HOL_Otimes__class_Otimes @t49 @t6 @t3) @t49)) % 1.04/1.31 (define @t736 () (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t49 @t3) @t49)) % 1.04/1.31 (define @t737 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t3))) % 1.04/1.31 (define @t738 () (= @t5 @t49)) % 1.04/1.31 (define @t739 () (not (= @t237 @t49))) % 1.04/1.31 (define @t740 () (= @t477 @t49)) % 1.04/1.31 (define @t741 () (tptp.c_HOL_Ominus__class_Ominus @t72 @t73 @t3)) % 1.04/1.31 (define @t742 () (not (= @t7 @t49))) % 1.04/1.31 (define @t743 () (= (tptp.hAPP @t231 @t6) @t6)) % 1.04/1.31 (define @t744 () (= (tptp.hAPP @t131 @t49) @t6)) % 1.04/1.31 (define @t745 () (tptp.c_HOL_Otimes__class_Otimes @t26 @t64 tptp.tc_nat)) % 1.04/1.31 (define @t746 () (tptp.c_HOL_Otimes__class_Otimes @t64 @t21 tptp.tc_nat)) % 1.04/1.31 (define @t747 () (@var "V_list" $$unsorted)) % 1.04/1.31 (define @t748 () (not (= (tptp.c_List_Olist_OCons @t6 @t747 @t3) @t600))) % 1.04/1.31 (define @t749 () (@list @t6 @t747 @t3 @t599 @t598)) % 1.04/1.31 (define @t750 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t571 @t593 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t718))) % 1.04/1.31 (define @t751 () (@list @t26 @t593 @t21 @t504)) % 1.04/1.31 (define @t752 () (tptp.c_HOL_Oord__class_Oless @t64 @t580 tptp.tc_nat)) % 1.04/1.31 (define @t753 () (tptp.c_Orderings_Oord__class_Omin @t109 @t716 @t3)) % 1.04/1.31 (define @t754 () (tptp.c_Orderings_Oord__class_Omax @t72 @t89 @t3)) % 1.04/1.31 (define @t755 () (tptp.c_lessequals @t478 @t479 @t3)) % 1.04/1.31 (define @t756 () (not (= @t741 @t480))) % 1.04/1.31 (define @t757 () (@list @t3 @t72 @t73 @t479 @t478)) % 1.04/1.31 (define @t758 () (tptp.c_HOL_Oord__class_Oless @t479 @t478 @t3)) % 1.04/1.31 (define @t759 () (not (= (tptp.c_List_Oappend @t114 @t721 @t3) (tptp.c_List_Oappend @t112 (tptp.c_List_Olist_OCons @t73 @t292 @t3) @t3)))) % 1.04/1.31 (define @t760 () (@list @t114 @t72 @t3 @t112 @t73)) % 1.04/1.31 (define @t761 () (tptp.c_lessequals @t47 @t44 tptp.tc_nat)) % 1.04/1.31 (define @t762 () (tptp.c_HOL_Otimes__class_Otimes @t567 @t563 @t3)) % 1.04/1.31 (define @t763 () (@list @t3 @t564 @t562 @t563)) % 1.04/1.31 (define @t764 () (tptp.c_HOL_Otimes__class_Otimes @t564 @t566 @t3)) % 1.04/1.31 (define @t765 () (@list @t3 @t564 @t563 @t561)) % 1.04/1.31 (define @t766 () (@var "V_us" $$unsorted)) % 1.04/1.31 (define @t767 () (= (tptp.c_HOL_Otimes__class_Otimes @t240 @t2 @t3) (tptp.hAPP @t543 @t369))) % 1.04/1.31 (define @t768 () (@list @t299 @t298 @t3)) % 1.04/1.31 (define @t769 () (@list @t319)) % 1.04/1.31 (define @t770 () (not (= @t42 @t64))) % 1.04/1.31 (define @t771 () (= @t117 @t64)) % 1.04/1.31 (define @t772 () (@list @t2)) % 1.04/1.31 (define @t773 () (tptp.c_List_Ofoldr @t8 @t114 @t49 @t3 @t3)) % 1.04/1.31 (define @t774 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 1.04/1.31 (define @t775 () (not (tptp.c_Type_Otyping @t4 @t151 @t248))) % 1.04/1.31 (define @t776 () (@var "V_t_H" $$unsorted)) % 1.04/1.31 (define @t777 () (@var "V_env" $$unsorted)) % 1.04/1.31 (define @t778 () (@var "V_type2_H" $$unsorted)) % 1.04/1.31 (define @t779 () (@var "V_type1_H" $$unsorted)) % 1.04/1.31 (define @t780 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t779) @t778)) % 1.04/1.31 (define @t781 () (@var "V_T2" $$unsorted)) % 1.04/1.31 (define @t782 () (@var "V_T1" $$unsorted)) % 1.04/1.31 (define @t783 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t782) @t781)) % 1.04/1.31 (define @t784 () (@var "V_T1a" $$unsorted)) % 1.04/1.31 (define @t785 () (@var "V_type2" $$unsorted)) % 1.04/1.31 (define @t786 () (@var "V_type1" $$unsorted)) % 1.04/1.31 (define @t787 () (tptp.hAPP (tptp.hAPP @t298 @t786) @t785)) % 1.04/1.31 (define @t788 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t786) @t785)) % 1.04/1.31 (define @t789 () (@list @t299 @t298 @t786 @t785 @t3)) % 1.04/1.31 (define @t790 () (@var "V_xb" $$unsorted)) % 1.04/1.31 (define @t791 () (tptp.c_Lambda_Olift @t151 @t19)) % 1.04/1.31 (define @t792 () (tptp.c_Lambda_Olift @t151 @t117)) % 1.04/1.31 (define @t793 () (tptp.hAPP @t664 @t151)) % 1.04/1.31 (define @t794 () (@var "V_Ta" $$unsorted)) % 1.04/1.31 (define @t795 () (not (tptp.c_InductTermi_OIT @t22))) % 1.04/1.31 (define @t796 () (tptp.c_Lambda_Osubst @t151 @t22 @t19)) % 1.04/1.31 (define @t797 () (tptp.c_InductTermi_OIT @t796)) % 1.04/1.31 (define @t798 () (not (= tptp.v_T____ @t783))) % 1.04/1.31 (define @t799 () (@list @t782 @t781 @t151 @t22 @t19 @t4 @t794)) % 1.04/1.31 (define @t800 () (@list @t4 @t151 @t248 @t452)) % 1.04/1.31 (define @t801 () (@var "V_Ts" $$unsorted)) % 1.04/1.31 (define @t802 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 1.04/1.31 (define @t803 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 1.04/1.31 (define @t804 () (= (tptp.c_Power_Opower__class_Opower @t49 @t21 @t3) @t49)) % 1.04/1.31 (define @t805 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t248) @t583)) % 1.04/1.31 (define @t806 () (@var "V_e_H" $$unsorted)) % 1.04/1.31 (define @t807 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) @t802)) % 1.04/1.31 (define @t808 () (forall (@list @t4 @t19 @t583 @t151 @t248) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t4 @t19 @t583 tptp.tc_Type_Otype) @t791 @t248) @t775))) % 1.04/1.31 (define @t809 () (not (= @t788 @t780))) % 1.04/1.31 (define @t810 () (@list @t786 @t785 @t779 @t778)) % 1.04/1.31 (define @t811 () (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ @t807)) % 1.04/1.31 (define @t812 () (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ @t64 tptp.v_T_H_H____ tptp.tc_Type_Otype) (tptp.c_Lambda_Olift tptp.v_u____ @t64) @t807)) % 1.04/1.31 (define @t813 () (@var "T_1" $$unsorted)) % 1.04/1.31 (define @t814 () (@var "T_2" $$unsorted)) % 1.04/1.31 (define @t815 () (tptp.tc_fun @t814 @t813)) % 1.04/1.31 (define @t816 () (@list @t814 @t813)) % 1.04/1.31 (define @t817 () (@var "V_Y" $$unsorted)) % 1.04/1.31 (define @t818 () (@var "V_X" $$unsorted)) % 1.04/1.31 (define @t819 () (not @t811)) % 1.04/1.31 (define @t820 () (or @t812 @t819)) % 1.04/1.31 (define @t821 () (not @t820)) % 1.04/1.31 (define @t822 () (@list true false)) % 1.04/1.31 (assume @p1 (forall @t16 (or @t15 @t14 (= @t9 @t1)))) % 1.04/1.31 (assume @p2 (forall @t16 (or @t15 @t14 (= @t2 @t17)))) % 1.04/1.31 (assume @p3 (forall @t33 (or @t32 (not @t27) @t20))) % 1.04/1.31 (assume @p4 (forall @t35 (or @t27 @t34 @t20))) % 1.04/1.31 (assume @p5 (forall @t33 (or @t32 (not @t39) @t36))) % 1.04/1.31 (assume @p6 (forall @t40 (or @t39 @t34 @t36))) % 1.04/1.31 (assume @p7 (forall (@list @t3 @t6 @t4 @t5 @t1) (or @t15 (= (tptp.hAPP @t12 @t17) @t11)))) % 1.04/1.31 (assume @p8 (forall @t46 (= @t45 @t43))) % 1.04/1.31 (assume @p9 (forall @t46 (= @t48 @t43))) % 1.04/1.31 (assume @p10 (forall @t52 (or @t51 @t50 (= (tptp.c_Power_Opower__class_Opower @t49 @t47 @t3) @t49)))) % 1.04/1.31 (assume @p11 (forall @t63 (or @t62 @t61 @t58 @t57 @t55 @t54))) % 1.04/1.31 (assume @p12 (forall @t71 (or @t70 (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Suc @t68)))) @t67))) % 1.04/1.31 (assume @p13 (forall @t76 (or @t75 (tptp.c_lessequals @t74 @t72 @t3)))) % 1.04/1.31 (assume @p14 (forall @t76 (or @t75 (tptp.c_lessequals @t74 @t73 @t3)))) % 1.04/1.31 (assume @p15 (forall @t83 (or @t75 @t82 @t80 @t78))) % 1.04/1.31 (assume @p16 (forall @t91 (or @t75 @t90 @t88 @t85))) % 1.04/1.31 (assume @p17 (forall (@list @t3 @t6 @t4 @t2 @t5) (or @t15 (= @t13 (tptp.hAPP @t10 @t9))))) % 1.04/1.31 (assume @p18 (forall @t96 (or @t95 (tptp.c_lessequals @t49 @t94 @t3) @t93))) % 1.04/1.31 (assume @p19 (forall @t46 (or @t100 @t98))) % 1.04/1.31 (assume @p20 (forall @t46 (or @t101 @t97))) % 1.04/1.31 (assume @p21 (forall @t91 (or @t104 (= (tptp.c_HOL_Ominus__class_Ominus @t74 @t86 @t3) (tptp.c_Orderings_Oord__class_Omin @t103 @t102 @t3))))) % 1.04/1.31 (assume @p22 (forall @t91 (or @t75 @t110 @t108 @t106))) % 1.04/1.31 (assume @p23 (forall @t116 (or (not (= @t115 (tptp.c_List_Oappend @t114 @t111 @t3))) @t113))) % 1.04/1.31 (assume @p24 (forall (@list @t112 @t114 @t3 @t111) (or (not (= (tptp.c_List_Oappend @t112 @t114 @t3) (tptp.c_List_Oappend @t111 @t114 @t3))) @t113))) % 1.04/1.31 (assume @p25 (forall (@list @t18 @t117 @t26) (or (= (tptp.c_HOL_Ominus__class_Ominus @t123 @t26 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t121 @t120 tptp.tc_nat)) @t118))) % 1.04/1.31 (assume @p26 (forall @t127 (or @t126 @t124))) % 1.04/1.31 (assume @p27 (forall @t136 (or @t135 @t134 @t133 @t130 @t129))) % 1.04/1.31 (assume @p28 (forall @t141 (or (tptp.c_HOL_Oord__class_Oless @t26 @t140 tptp.tc_nat) @t98 @t138))) % 1.04/1.31 (assume @p29 (= @t143 @t142)) % 1.04/1.31 (assume @p30 (forall @t147 (or @t95 @t97 (not @t146)))) % 1.04/1.31 (assume @p31 (forall @t147 (or @t95 @t146 @t98))) % 1.04/1.31 (assume @p32 (forall (@list @t149 @t151 @t19 @t148) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t149 @t151 @t19) (tptp.c_Lambda_Osubst @t148 @t151 @t19)) @t150))) % 1.04/1.31 (assume @p33 (forall @t157 (or @t75 @t156 @t155 @t153))) % 1.04/1.31 (assume @p34 (forall @t160 (= (tptp.hAPP (tptp.hAPP @t24 @t158) @t159) (tptp.hAPP (tptp.hAPP @t24 @t159) @t158)))) % 1.04/1.31 (assume @p35 (forall (@list @t72 @t2 @t1) (= (tptp.hAPP (tptp.hAPP @t24 @t161) @t162) (tptp.hAPP (tptp.hAPP @t24 @t162) @t161)))) % 1.04/1.31 (assume @p36 (forall (@list @t3 @t72 @t2 @t1) (or @t166 @t165 (= (tptp.hAPP (tptp.hAPP @t8 @t163) @t164) (tptp.hAPP (tptp.hAPP @t8 @t164) @t163))))) % 1.04/1.31 (assume @p37 (forall @t91 (or @t166 @t165 (= @t169 (tptp.hAPP (tptp.hAPP @t8 @t168) @t167))))) % 1.04/1.31 (assume @p38 (forall @t46 (= (tptp.c_Orderings_Oord__class_Omax @t44 @t47 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t26 @t21 tptp.tc_nat))))) % 1.04/1.31 (assume @p39 (forall @t171 (or @t170 (not (tptp.c_HOL_Oord__class_Oless @t21 @t142 tptp.tc_nat))))) % 1.04/1.31 (assume @p40 (forall @t175 (or @t174 @t92 (not @t173)))) % 1.04/1.31 (assume @p41 (forall @t175 (or @t174 @t173 @t93))) % 1.04/1.31 (assume @p42 (forall @t76 (or @t75 (= (tptp.c_Orderings_Oord__class_Omin @t72 @t74 @t3) @t74)))) % 1.04/1.31 (assume @p43 (forall (@list @t19 @t148 @t117) (or (= (tptp.c_Lambda_Osubst @t176 @t148 @t117) @t176) (= @t19 @t117) (tptp.c_HOL_Oord__class_Oless @t117 @t19 tptp.tc_nat)))) % 1.04/1.31 (assume @p44 (forall @t33 (or (= @t177 (tptp.c_HOL_Ominus__class_Ominus @t26 @t25 tptp.tc_nat)) @t20))) % 1.04/1.31 (assume @p45 (forall @t33 (or (= @t177 (tptp.c_HOL_Ominus__class_Ominus @t38 @t21 tptp.tc_nat)) @t36))) % 1.04/1.31 (assume @p46 (forall @t179 (or @t178 (= (tptp.hAPP (tptp.hAPP @t8 @t7) @t5) @t6)))) % 1.04/1.31 (assume @p47 (forall (@list @t65 @t5 @t72) (or (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t181 @t72) @t5 tptp.tc_nat)))) @t180))) % 1.04/1.31 (assume @p48 (forall (@list @t65 @t5 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t181 @t1) @t5 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t65 @t1))))) % 1.04/1.31 (assume @p49 (forall @t185 (or @t184 @t137))) % 1.04/1.31 (assume @p50 (forall @t189 (or @t188 @t137))) % 1.04/1.31 (assume @p51 (forall @t195 (or @t194 (= (tptp.c_Power_Opower__class_Opower @t193 @t190 @t3) (tptp.c_Power_Opower__class_Opower @t72 @t192 @t3))))) % 1.04/1.31 (assume @p52 (forall @t71 (or @t70 (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Suc @t196)))) @t67))) % 1.04/1.31 (assume @p53 (forall @t96 (or @t199 (= @t198 @t197)))) % 1.04/1.31 (assume @p54 (forall @t96 (or @t50 (= @t198 @t200)))) % 1.04/1.31 (assume @p55 (forall (@list @t3 @t72 @t21) (or @t194 (= (tptp.c_Power_Opower__class_Opower @t72 @t47 @t3) (tptp.c_HOL_Otimes__class_Otimes @t72 (tptp.c_Power_Opower__class_Opower @t72 @t21 @t3) @t3))))) % 1.04/1.31 (assume @p56 (forall @t205 (or @t194 (= @t204 @t202)))) % 1.04/1.31 (assume @p57 (forall @t212 (or (tptp.c_lessequals @t211 @t209 tptp.tc_nat) @t207 @t20))) % 1.04/1.31 (assume @p58 (forall @t63 (or @t218 (tptp.c_lessequals @t132 @t217 @t3) @t215 @t214))) % 1.04/1.31 (assume @p59 (forall @t46 (or @t219 @t98))) % 1.04/1.31 (assume @p60 (forall @t46 (or @t97 @t220))) % 1.04/1.31 (assume @p61 (forall @t224 (or (not @t223) @t222))) % 1.04/1.31 (assume @p62 (forall @t228 (or @t227 (= @t226 @t225)))) % 1.04/1.31 (assume @p63 (forall @t76 (or @t194 (= @t167 (tptp.c_HOL_Otimes__class_Otimes @t73 @t72 @t3))))) % 1.04/1.31 (assume @p64 (forall @t46 (= @t230 @t229))) % 1.04/1.31 (assume @p65 (forall @t235 (or @t234 @t233 @t233 @t232))) % 1.04/1.31 (assume @p66 (forall @t179 (or @t194 (= @t237 @t236)))) % 1.04/1.31 (assume @p67 (forall @t46 (tptp.c_HOL_Oord__class_Oless @t99 @t44 tptp.tc_nat))) % 1.04/1.31 (assume @p68 (forall @t179 (or @t234 (tptp.c_lessequals @t49 @t240 @t3) @t239 @t93))) % 1.04/1.31 (assume @p69 (forall @t244 (or @t243 @t105 @t108 @t242))) % 1.04/1.31 (assume @p70 (forall @t157 (or @t247 @t152 @t155 @t246))) % 1.04/1.31 (assume @p71 (forall (@list @t4 @t22 @t248 @t151) (or (tptp.c_Type_Otyping @t4 @t22 @t252) @t251))) % 1.04/1.31 (assume @p72 (forall @t76 (or @t75 @t253 @t85))) % 1.04/1.31 (assume @p73 (forall @t76 (or @t75 (not @t253) @t84))) % 1.04/1.31 (assume @p74 (forall @t76 (or @t75 (= @t109 @t72) @t255))) % 1.04/1.31 (assume @p75 (forall @t91 (or @t194 (= @t260 (tptp.hAPP (tptp.hAPP @t8 @t257) @t86))))) % 1.04/1.31 (assume @p76 (forall @t91 (or @t262 (= @t260 (tptp.hAPP @t258 @t261))))) % 1.04/1.31 (assume @p77 (forall @t160 (= (tptp.hAPP @t263 @t266) (tptp.hAPP @t265 @t264)))) % 1.04/1.31 (assume @p78 (forall @t141 (= (tptp.hAPP (tptp.hAPP @t24 @t42) @t117) (tptp.hAPP @t41 @t140)))) % 1.04/1.31 (assume @p79 (forall (@list @t65 @t21 @t72) (or @t269 @t180 (not (tptp.c_HOL_Oord__class_Oless @t72 @t267 tptp.tc_nat)) @t67))) % 1.04/1.31 (assume @p80 (forall @t270 (tptp.c_HOL_Oord__class_Oless @t19 (tptp.c_Suc (tptp.hAPP @t210 @t26)) tptp.tc_nat))) % 1.04/1.31 (assume @p81 (forall @t270 (tptp.c_HOL_Oord__class_Oless @t19 (tptp.c_Suc (tptp.hAPP @t41 @t19)) tptp.tc_nat))) % 1.04/1.31 (assume @p82 (forall @t272 (tptp.c_HOL_Oord__class_Oless @t26 (tptp.c_Suc @t271) tptp.tc_nat))) % 1.04/1.31 (assume @p83 (forall @t275 (or @t274 (not @t273) @t118))) % 1.04/1.31 (assume @p84 (forall @t276 (or @t273 (not @t274) @t118))) % 1.04/1.31 (assume @p85 (forall @t91 (or @t75 @t279 @t278 @t88))) % 1.04/1.31 (assume @p86 (forall @t283 (or @t75 (tptp.c_lessequals @t282 @t72 @t3) @t281 @t255))) % 1.04/1.31 (assume @p87 (forall @t290 (or @t75 @t289 @t287 @t285))) % 1.04/1.31 (assume @p88 (forall @t76 (or @t75 (tptp.c_lessequals @t72 @t109 @t3)))) % 1.04/1.31 (assume @p89 (forall @t291 (or @t75 (tptp.c_lessequals @t73 @t109 @t3)))) % 1.04/1.31 (assume @p90 (forall @t294 (= @t293 @t114))) % 1.04/1.31 (assume @p91 (forall @t295 (= @t72 (tptp.c_List_Oappend @t292 @t72 @t3)))) % 1.04/1.31 (assume @p92 (forall @t294 (= @t114 @t293))) % 1.04/1.31 (assume @p93 (forall (@list @t3 @t112) (= @t296 @t112))) % 1.04/1.31 (assume @p94 (forall (@list @t112 @t3) (= @t112 @t296))) % 1.04/1.31 (assume @p95 (forall @t297 (or (not (tptp.class_Orderings_Obot @t3)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t3) @t72 @t3)))) % 1.04/1.31 (assume @p96 (forall @t302 (= (tptp.c_Nat_Onat_Onat__rec @t299 @t298 @t301 @t3) (tptp.hAPP @t300 (tptp.c_Nat_Onat_Onat__rec @t299 @t298 @t69 @t3))))) % 1.04/1.31 (assume @p97 (forall (@list @t305 @t72 @t191 @t190 @t307 @t306 @t304 @t303 @t3) (or (= (tptp.hAPP (tptp.hAPP @t305 @t310) @t190) (tptp.hAPP @t309 @t192)) @t308))) % 1.04/1.31 (assume @p98 (forall @t283 (or @t75 (= (tptp.c_Orderings_Oord__class_Omin @t282 @t72 @t3) (tptp.c_Orderings_Oord__class_Omax @t311 (tptp.c_Orderings_Oord__class_Omin @t86 @t72 @t3) @t3))))) % 1.04/1.31 (assume @p99 (forall @t91 (or @t75 (= @t314 @t313)))) % 1.04/1.31 (assume @p100 (forall @t136 (or @t135 @t134 @t315 @t130 @t93))) % 1.04/1.31 (assume @p101 (forall @t136 (or @t135 @t134 @t315 @t317 @t58))) % 1.04/1.31 (assume @p102 (forall @t71 (or @t70 (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Suc @t318)))) @t67))) % 1.04/1.31 (assume @p103 (forall @t322 (or (not (= @t321 (tptp.c_Type_Otype_OAtom @t319))) @t320))) % 1.04/1.31 (assume @p104 (forall @t71 (or @t70 (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Suc @t323)))) @t67))) % 1.04/1.31 (assume @p105 (forall @t46 (or @t326 @t325))) % 1.04/1.31 (assume @p106 (forall @t46 (or @t324 @t327))) % 1.04/1.31 (assume @p107 (forall @t330 (or @t329 (not @t328)))) % 1.04/1.31 (assume @p108 (forall @t330 (or @t328 @t331))) % 1.04/1.31 (assume @p109 (forall @t160 (or @t334 @t333))) % 1.04/1.31 (assume @p110 (forall @t160 (or @t334 (not (tptp.c_HOL_Oord__class_Oless @t72 @t86 tptp.tc_nat))))) % 1.04/1.31 (assume @p111 (forall @t275 (or @t336 (not (tptp.c_HOL_Oord__class_Oless @t335 @t117 tptp.tc_nat))))) % 1.04/1.31 (assume @p112 (forall @t339 (or (tptp.c_HOL_Oord__class_Oless @t19 @t338 tptp.tc_nat) @t337))) % 1.04/1.31 (assume @p113 (forall @t341 (or (tptp.c_HOL_Oord__class_Oless @t19 @t340 tptp.tc_nat) @t337))) % 1.04/1.31 (assume @p114 (forall @t16 (or @t344 @t343 (not @t342)))) % 1.04/1.31 (assume @p115 (forall @t346 (or @t344 @t342 @t345))) % 1.04/1.31 (assume @p116 (forall @t16 (or @t344 @t343 (not @t347)))) % 1.04/1.31 (assume @p117 (forall @t348 (or @t344 @t347 @t345))) % 1.04/1.31 (assume @p118 (forall @t46 (or (= @t351 (tptp.c_Suc @t99)) @t350))) % 1.04/1.31 (assume @p119 (forall @t76 (or @t354 (tptp.c_lessequals @t49 @t353 @t3)))) % 1.04/1.31 (assume @p120 (forall (@list @t3 @t6 @t2) (or @t194 (= @t132 @t356)))) % 1.04/1.31 (assume @p121 (forall @t179 (or @t134 (= @t240 @t357)))) % 1.04/1.31 (assume @p122 (forall @t46 (= @t42 @t358))) % 1.04/1.31 (assume @p123 (forall (@list @t26 @t206 @t117 @t21) (or (not (= (tptp.hAPP @t41 @t206) @t360)) @t359 @t324))) % 1.04/1.31 (assume @p124 (forall @t76 (or @t194 (= @t257 (tptp.hAPP @t258 @t72))))) % 1.04/1.31 (assume @p125 (forall @t46 (or @t362 @t361))) % 1.04/1.31 (assume @p126 (forall @t46 (or @t362 @t363))) % 1.04/1.31 (assume @p127 (forall (@list @t3 @t72 @t73 @t111) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t3)) (= (tptp.c_List_Ofoldl @t8 @t257 @t111 @t3 @t3) (tptp.hAPP @t256 (tptp.c_List_Ofoldl @t8 @t73 @t111 @t3 @t3)))))) % 1.04/1.31 (assume @p128 (forall @t366 (or (tptp.c_HOL_Oord__class_Oless @t365 @t364 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t26 @t206 tptp.tc_nat)) @t325))) % 1.04/1.31 (assume @p129 (forall @t368 (or @t269 (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Suc @t367)))) @t67))) % 1.04/1.31 (assume @p130 (forall @t147 (or (not (tptp.class_Nat_Osemiring__char__0 @t3)) (not (= @t145 @t144)) @t124))) % 1.04/1.31 (assume @p131 (forall @t372 (or @t62 @t53 @t58 @t371))) % 1.04/1.31 (assume @p132 (forall @t372 (or @t62 @t53 @t58 @t376))) % 1.04/1.31 (assume @p133 (forall @t372 (or @t377 @t53 @t58 @t371))) % 1.04/1.31 (assume @p134 (forall @t372 (or @t377 @t53 @t58 @t376))) % 1.04/1.31 (assume @p135 (forall @t96 (or @t199 (= @t197 @t200)))) % 1.04/1.31 (assume @p136 (forall @t380 (or @t75 @t379 @t280 (not @t378)))) % 1.04/1.31 (assume @p137 (forall @t195 (or @t194 (= (tptp.c_HOL_Otimes__class_Otimes @t193 @t201 @t3) (tptp.c_Power_Opower__class_Opower @t72 @t381 @t3))))) % 1.04/1.31 (assume @p138 (forall (@list @t21 @t3) (= (tptp.c_List_Odrop @t21 @t292 @t3) @t292))) % 1.04/1.31 (assume @p139 (forall @t368 (or (tptp.c_lessequals @t383 @t21 tptp.tc_nat) @t382 @t66))) % 1.04/1.31 (assume @p140 (forall (@list @t306 @t305 @t72 @t191 @t190 @t307 @t304 @t303 @t3) (or (= (tptp.hAPP (tptp.hAPP @t306 @t310) @t384) (tptp.hAPP @t309 @t381)) @t308))) % 1.04/1.31 (assume @p141 (forall (@list @t18 @t19 @t22 @t26) (or @t36 (= @t31 (tptp.hAPP @t28 @t38))))) % 1.04/1.31 (assume @p142 (forall @t171 (tptp.c_InductTermi_OIT @t385))) % 1.04/1.31 (assume @p143 (forall @t244 (or @t75 @t87 @t386))) % 1.04/1.31 (assume @p144 (forall @t91 (or @t75 @t84 @t386))) % 1.04/1.31 (assume @p145 (forall @t91 (or @t75 @t387 @t278))) % 1.04/1.31 (assume @p146 (forall @t91 (or @t75 @t387 @t88))) % 1.04/1.31 (assume @p147 (forall @t290 (or @t75 @t388 @t287))) % 1.04/1.31 (assume @p148 (forall @t290 (or @t75 @t388 @t285))) % 1.04/1.31 (assume @p149 (forall (@list @t3 @t72 @t5 @t6) (or @t75 @t79 @t389))) % 1.04/1.31 (assume @p150 (forall @t83 (or @t75 @t77 @t389))) % 1.04/1.31 (assume @p151 (forall @t76 (or @t234 @t393 @t392 @t391 @t390))) % 1.04/1.31 (assume @p152 (forall @t76 (or @t234 @t393 @t392 @t391 @t394))) % 1.04/1.31 (assume @p153 (forall @t396 (or (not (= @t221 (tptp.c_Suc @t73))) @t395))) % 1.04/1.31 (assume @p154 (forall @t322 (or (not (= @t301 @t397)) @t320))) % 1.04/1.31 (assume @p155 (forall (@list @t3 @t114 @t6) (or @t399 (= (tptp.c_List_Ofoldr @t8 @t114 @t6 @t3 @t3) @t398)))) % 1.04/1.31 (assume @p156 (forall (@list @t69 @t400) (not (= @t402 @t401)))) % 1.04/1.31 (assume @p157 (forall @t16 (or @t344 @t404 (not @t403)))) % 1.04/1.31 (assume @p158 (forall @t346 (or @t344 @t403 @t405))) % 1.04/1.31 (assume @p159 (forall @t16 (or @t344 @t404 (not @t406)))) % 1.04/1.31 (assume @p160 (forall @t348 (or @t344 @t406 @t405))) % 1.04/1.31 (assume @p161 (= tptp.v_n____ tptp.v_i____)) % 1.04/1.31 (assume @p162 (forall @t33 (or @t407 @t36 (= @t38 @t21)))) % 1.04/1.31 (assume @p163 (forall @t33 (or @t407 @t20 (= @t26 @t25)))) % 1.04/1.31 (assume @p164 (forall @t283 (or @t75 @t277 @t87 (not @t387)))) % 1.04/1.31 (assume @p165 (forall (@list @t19 @t18 @t22 @t21) (or @t20 (= (tptp.hAPP @t30 @t25) @t29)))) % 1.04/1.31 (assume @p166 (tptp.c_HOL_Oord__class_Oless @t64 @t142 tptp.tc_nat)) % 1.04/1.31 (assume @p167 (forall @t175 (or @t174 @t410 @t409))) % 1.04/1.31 (assume @p168 (forall @t175 (or @t174 @t408 @t411))) % 1.04/1.31 (assume @p169 (forall @t175 (or @t412 @t408 @t411))) % 1.04/1.31 (assume @p170 (forall @t175 (or @t412 @t410 @t409))) % 1.04/1.31 (assume @p171 (forall @t46 (or @t413 @t363 @t361))) % 1.04/1.31 (assume @p172 (forall @t46 (or @t413 @t414 @t170))) % 1.04/1.31 (assume @p173 (forall @t415 (or @t62 @t56 @t129 (not (tptp.c_HOL_Oord__class_Oless @t49 @t236 @t3))))) % 1.04/1.31 (assume @p174 (forall @t415 (or @t62 @t56 @t129 (not @t416)))) % 1.04/1.31 (assume @p175 (forall @t179 (or @t62 @t416 @t57 @t129))) % 1.04/1.31 (assume @p176 (forall @t179 (or @t354 @t416 @t417 @t409))) % 1.04/1.31 (assume @p177 (forall @t46 (or @t422 @t421 @t419))) % 1.04/1.31 (assume @p178 (forall @t425 (or @t95 @t53 @t239 (not @t424)))) % 1.04/1.31 (assume @p179 (forall @t372 (or @t134 @t430))) % 1.04/1.31 (assume @p180 (forall @t372 (or @t134 (= @t427 (tptp.hAPP @t216 @t132))))) % 1.04/1.31 (assume @p181 (forall @t372 (or @t399 @t430))) % 1.04/1.31 (assume @p182 (forall @t434 (or @t194 (= @t433 (tptp.hAPP @t431 @t1))))) % 1.04/1.31 (assume @p183 (forall @t372 (or @t194 (= @t429 (tptp.hAPP @t431 @t5))))) % 1.04/1.31 (assume @p184 (forall @t434 (or @t194 (= @t433 (tptp.hAPP @t355 (tptp.hAPP @t131 @t1)))))) % 1.04/1.31 (assume @p185 (forall @t372 (or @t194 @t430))) % 1.04/1.31 (assume @p186 (forall @t330 (or @t420 @t418 (not @t435)))) % 1.04/1.31 (assume @p187 (forall @t437 (or @t199 (= (tptp.c_Power_Opower__class_Opower @t6 @t42 @t3) (tptp.c_HOL_Otimes__class_Otimes @t436 @t94 @t3))))) % 1.04/1.31 (assume @p188 (forall @t330 (or @t440 @t439))) % 1.04/1.31 (assume @p189 (forall @t46 (or @t441 @t439))) % 1.04/1.31 (assume @p190 (forall @t443 (= (tptp.c_List_Odrop @t64 @t442 @t3) @t442))) % 1.04/1.31 (assume @p191 (forall @t445 (= (tptp.c_List_Oreplicate @t47 @t72 @t3) (tptp.c_List_Olist_OCons @t72 @t444 @t3)))) % 1.04/1.31 (assume @p192 (forall (@list @t3 @t72 @t73 @t86 @t22) (or @t262 (not (= @t260 (tptp.hAPP @t258 @t22))) (= @t261 @t22)))) % 1.04/1.31 (assume @p193 (forall @t341 (or (tptp.c_lessequals @t19 @t340 tptp.tc_nat) @t20))) % 1.04/1.31 (assume @p194 (forall @t339 (or (tptp.c_lessequals @t19 @t338 tptp.tc_nat) @t20))) % 1.04/1.31 (assume @p195 (forall (@list @t117 @t21 @t26) (or @t448 @t447))) % 1.04/1.31 (assume @p196 (forall @t141 (or @t97 @t447))) % 1.04/1.31 (assume @p197 (forall @t160 (or @t449 (not (tptp.c_lessequals @t72 @t86 tptp.tc_nat))))) % 1.04/1.31 (assume @p198 (forall @t160 (or @t449 (not @t450)))) % 1.04/1.31 (assume @p199 (forall @t76 (or @t75 @t451 @t85))) % 1.04/1.31 (assume @p200 (forall @t76 (or @t75 (not @t451) @t84))) % 1.04/1.31 (assume @p201 (forall @t76 (or @t75 (= @t74 @t73) @t255))) % 1.04/1.31 (assume @p202 (forall @t91 (or @t104 (= (tptp.c_HOL_Ominus__class_Ominus @t109 @t86 @t3) (tptp.c_Orderings_Oord__class_Omax @t103 @t102 @t3))))) % 1.04/1.31 (assume @p203 (forall @t456 (or (tptp.c_Type_Otypings @t4 @t452 @t455) @t454))) % 1.04/1.31 (assume @p204 (forall @t76 (or @t75 @t241 @t254))) % 1.04/1.31 (assume @p205 (forall @t297 (or @t75 (not @t459) @t458))) % 1.04/1.31 (assume @p206 (forall @t297 (or @t75 @t457 @t459))) % 1.04/1.31 (assume @p207 (forall @t76 (or @t75 @t242 @t255))) % 1.04/1.31 (assume @p208 (forall @t291 (or @t75 @t254 @t241))) % 1.04/1.31 (assume @p209 (forall @t76 (or @t75 @t85 @t246))) % 1.04/1.31 (assume @p210 (forall @t291 (or @t75 @t245 @t84))) % 1.04/1.31 (assume @p211 (forall @t291 (or @t243 @t255 @t242))) % 1.04/1.31 (assume @p212 (forall @t368 (or @t269 (tptp.c_HOL_Oord__class_Oless @t64 @t267 tptp.tc_nat) @t67))) % 1.04/1.31 (assume @p213 (forall (@list @t72 @t148) (or @t461 (= (tptp.c_Lambda_Osubst @t460 @t148 @t72) @t148)))) % 1.04/1.31 (assume @p214 (forall (@list @t65 @t248) (or @t463 (not (tptp.hBOOL (tptp.hAPP @t65 @t462)))))) % 1.04/1.31 (assume @p215 (forall @t91 (or @t75 (= (tptp.c_Orderings_Oord__class_Omin @t74 @t86 @t3) @t464)))) % 1.04/1.31 (assume @p216 (forall @t91 (or @t75 (= @t464 (tptp.c_Orderings_Oord__class_Omin @t73 @t312 @t3))))) % 1.04/1.31 (assume @p217 (= @t142 @t466)) % 1.04/1.31 (assume @p218 (forall @t136 (or @t135 @t134 @t133 @t467 @t93))) % 1.04/1.31 (assume @p219 (forall @t366 (or (tptp.c_lessequals @t365 @t364 tptp.tc_nat) @t98))) % 1.04/1.31 (assume @p220 (forall (@list @t26 @t206 @t21) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t26 @t206 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t21 @t206 tptp.tc_nat) tptp.tc_nat) @t98))) % 1.04/1.31 (assume @p221 (forall @t185 (or @t472 @t98 @t469 @t468))) % 1.04/1.31 (assume @p222 (forall @t141 (or @t97 (not @t472) @t469 @t468))) % 1.04/1.31 (assume @p223 (forall @t330 (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t358 tptp.tc_nat) @t64))) % 1.04/1.31 (assume @p224 (forall @t276 (= @t474 (tptp.c_HOL_Ominus__class_Ominus @t19 @t473 tptp.tc_nat)))) % 1.04/1.31 (assume @p225 (forall @t475 (or @t95 (tptp.c_lessequals @t94 @t423 @t3) @t93 @t214))) % 1.04/1.31 (assume @p226 (forall (@list @t3 @t476 @t73 @t72) (or @t262 (not (= (tptp.c_HOL_Ominus__class_Ominus @t476 @t73 @t3) @t477)) (= @t476 @t73)))) % 1.04/1.31 (assume @p227 (forall (@list @t3 @t72 @t479 @t478) (or @t262 (not (= @t477 @t480)) (= @t479 @t478)))) % 1.04/1.31 (assume @p228 (forall @t185 (or (not (= @t471 @t470)) @t469 @t468 @t124))) % 1.04/1.31 (assume @p229 (forall @t76 (or @t75 (= (tptp.c_Orderings_Oord__class_Omin @t72 @t109 @t3) @t72)))) % 1.04/1.31 (assume @p230 (forall @t189 (or @t481 @t138 @t124))) % 1.04/1.31 (assume @p231 (forall @t46 (or @t413 @t363 @t170))) % 1.04/1.31 (assume @p232 (forall @t46 (or @t413 @t414 @t361))) % 1.04/1.31 (assume @p233 (forall @t189 (or @t137 @t483))) % 1.04/1.31 (assume @p234 (forall @t189 (or @t137 @t485))) % 1.04/1.31 (assume @p235 (forall (@list @t487 @t6 @t72 @t114 @t486 @t3) (= (tptp.c_List_Ofoldl @t487 @t6 @t488 @t3 @t486) (tptp.c_List_Ofoldl @t487 (tptp.hAPP (tptp.hAPP @t487 @t6) @t72) @t114 @t3 @t486)))) % 1.04/1.31 (assume @p236 (forall @t46 (= @t45 @t48))) % 1.04/1.31 (assume @p237 (forall (@list @t21 @t72 @t114 @t3) (= (tptp.c_List_Odrop @t47 @t442 @t3) (tptp.c_List_Odrop @t21 @t114 @t3)))) % 1.04/1.31 (assume @p238 (forall @t141 (or @t97 @t138 (not @t184)))) % 1.04/1.31 (assume @p239 (forall @t141 (or @t97 @t138 @t489))) % 1.04/1.31 (assume @p240 (forall @t141 (or @t97 @t489 @t138))) % 1.04/1.31 (assume @p241 (forall @t189 (or @t188 @t98 @t138))) % 1.04/1.31 (assume @p242 (forall @t136 (or @t354 @t316 @t493 @t491))) % 1.04/1.31 (assume @p243 (forall @t494 (or @t354 @t492 @t317 @t491))) % 1.04/1.31 (assume @p244 (forall @t372 (or @t354 @t213 @t493 @t496))) % 1.04/1.31 (assume @p245 (forall @t494 (or @t354 @t492 @t214 @t496))) % 1.04/1.31 (assume @p246 (forall @t372 (or @t62 @t213 @t496 @t493))) % 1.04/1.31 (assume @p247 (forall @t372 (or @t62 @t213 @t496 (not @t497)))) % 1.04/1.31 (assume @p248 (forall @t46 (or (tptp.c_HOL_Oord__class_Oless @t142 @t230 tptp.tc_nat) @t499 @t498))) % 1.04/1.31 (assume @p249 (forall @t185 (= (tptp.c_HOL_Ominus__class_Ominus @t446 @t140 tptp.tc_nat) @t99))) % 1.04/1.31 (assume @p250 (forall @t189 (= (tptp.c_HOL_Ominus__class_Ominus @t120 @t360 tptp.tc_nat) @t99))) % 1.04/1.31 (assume @p251 (forall @t171 (tptp.c_HOL_Oord__class_Oless @t64 @t47 tptp.tc_nat))) % 1.04/1.31 (assume @p252 (forall @t224 (tptp.c_HOL_Oord__class_Oless @t64 @t221 tptp.tc_nat))) % 1.04/1.31 (assume @p253 (forall @t83 (or @t75 @t500 (not (tptp.c_HOL_Oord__class_Oless @t72 @t6 @t3))))) % 1.04/1.31 (assume @p254 (forall @t83 (or @t75 @t500 (not (tptp.c_HOL_Oord__class_Oless @t72 @t5 @t3))))) % 1.04/1.31 (assume @p255 (forall @t157 (or @t75 @t501 @t153))) % 1.04/1.31 (assume @p256 (forall @t157 (or @t75 @t501 @t155))) % 1.04/1.31 (assume @p257 (forall @t244 (or @t75 @t105 @t502))) % 1.04/1.31 (assume @p258 (forall @t283 (or @t75 @t107 @t502))) % 1.04/1.31 (assume @p259 (forall @t235 (or @t227 (= (tptp.c_List_Olistsum @t292 @t3) @t49)))) % 1.04/1.31 (assume @p260 (forall @t76 (or @t75 (= @t74 @t311)))) % 1.04/1.31 (assume @p261 (forall (@list @t19 @t22 @t18 @t117) (= (tptp.hAPP @t30 (tptp.hAPP @t28 @t117)) (tptp.hAPP (tptp.hAPP @t24 (tptp.c_HOL_Otimes__class_Otimes @t335 @t22 tptp.tc_nat)) @t117)))) % 1.04/1.31 (assume @p262 (forall (@list @t3 @t6 @t4 @t5 @t2) (or (not (tptp.class_Ring__and__Field_Osemiring @t3)) (= (tptp.hAPP @t12 (tptp.hAPP @t10 @t2)) (tptp.hAPP (tptp.hAPP @t8 (tptp.c_HOL_Otimes__class_Otimes @t240 @t4 @t3)) @t2))))) % 1.04/1.31 (assume @p263 (forall @t46 (tptp.c_lessequals @t99 @t26 tptp.tc_nat))) % 1.04/1.31 (assume @p264 (forall @t506 (or (not (= @t503 @t505)) (= @t503 @t148)))) % 1.04/1.31 (assume @p265 (forall @t330 (or @t420 @t507))) % 1.04/1.31 (assume @p266 (forall @t46 (or @t418 @t507))) % 1.04/1.31 (assume @p267 (forall @t179 (or @t234 @t508 @t417 @t409))) % 1.04/1.31 (assume @p268 (forall @t475 (or @t95 @t424 @t421 @t93 @t54))) % 1.04/1.31 (assume @p269 (forall @t76 (or @t354 @t394 @t509))) % 1.04/1.31 (assume @p270 (forall @t291 (or @t354 @t390 @t509))) % 1.04/1.31 (assume @p271 (forall (@list @t72 @t476 @t3 @t111) (= @t512 @t510))) % 1.04/1.31 (assume @p272 (forall (@list @t72 @t114 @t3 @t112) (= (tptp.c_List_Oappend @t442 @t112 @t3) (tptp.c_List_Olist_OCons @t72 @t115 @t3)))) % 1.04/1.31 (assume @p273 (forall (@list @t65 @t299 @t298 @t476) (or (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Nat_Onat_Onat__case @t299 @t298 (tptp.c_Suc @t476) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t65 @t513))))) % 1.04/1.31 (assume @p274 (forall @t514 (or (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Nat_Onat_Onat__case @t299 @t298 @t301 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t65 @t300))))) % 1.04/1.31 (assume @p275 (forall @t189 (= (tptp.c_HOL_Otimes__class_Otimes @t117 @t99 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t187 @t186 tptp.tc_nat)))) % 1.04/1.31 (assume @p276 (forall @t141 (= (tptp.c_HOL_Otimes__class_Otimes @t99 @t117 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t183 @t182 tptp.tc_nat)))) % 1.04/1.31 (assume @p277 (forall @t290 (or @t75 @t515 (not (tptp.c_HOL_Oord__class_Oless @t6 @t72 @t3))))) % 1.04/1.31 (assume @p278 (forall @t290 (or @t75 @t515 (not (tptp.c_HOL_Oord__class_Oless @t5 @t72 @t3))))) % 1.04/1.31 (assume @p279 (forall (@list @t3 @t72 @t111) (or @t227 (= (tptp.hAPP @t256 (tptp.c_List_Ofoldl @t8 @t49 @t111 @t3 @t3)) (tptp.c_List_Ofoldl @t8 @t72 @t111 @t3 @t3))))) % 1.04/1.31 (assume @p280 (forall @t283 (or @t75 @t277 @t516))) % 1.04/1.31 (assume @p281 (forall @t244 (or @t75 @t87 @t516))) % 1.04/1.31 (assume @p282 (forall @t157 (or @t75 @t378 @t517))) % 1.04/1.31 (assume @p283 (forall @t157 (or @t75 @t378 @t281))) % 1.04/1.31 (assume @p284 (forall @t83 (or @t75 @t518 @t80))) % 1.04/1.31 (assume @p285 (forall @t83 (or @t75 @t518 @t78))) % 1.04/1.31 (assume @p286 (forall (@list @t3 @t5 @t72 @t6) (or @t75 @t286 @t519))) % 1.04/1.31 (assume @p287 (forall (@list @t3 @t6 @t72 @t5) (or @t75 @t284 @t519))) % 1.04/1.31 (assume @p288 (forall @t522 (or @t521 (not @t520)))) % 1.04/1.31 (assume @p289 (forall @t523 (or @t520 (not @t521)))) % 1.04/1.31 (assume @p290 (forall @t96 (or @t95 (tptp.c_HOL_Oord__class_Oless @t49 @t94 @t3) @t129))) % 1.04/1.31 (assume @p291 (forall @t380 (or @t75 @t154 @t152 (not @t501)))) % 1.04/1.31 (assume @p292 (forall @t46 (= (tptp.c_HOL_Otimes__class_Otimes @t26 @t47 tptp.tc_nat) (tptp.hAPP @t41 @t230)))) % 1.04/1.31 (assume @p293 (forall @t46 (= (tptp.c_HOL_Otimes__class_Otimes @t44 @t21 tptp.tc_nat) (tptp.hAPP @t139 @t230)))) % 1.04/1.31 (assume @p294 (forall @t506 (or (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t503) @t148) @t504 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.c_InductTermi_OIT @t148)) (not (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t149 @t148 @t64) @t504 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))) % 1.04/1.31 (assume @p295 (forall (@list @t487 @t6 @t486 @t3) (= (tptp.c_List_Ofoldl @t487 @t6 @t524 @t3 @t486) @t6))) % 1.04/1.31 (assume @p296 (forall (@list @t21 @t452 @t149 @t504) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t385 @t452 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t503 @t504 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 1.04/1.31 (assume @p297 (forall @t302 (= (tptp.c_Nat_Onat_Onat__case @t299 @t298 @t301 @t3) @t300))) % 1.04/1.31 (assume @p298 (forall @t527 (or @t526 @t525))) % 1.04/1.31 (assume @p299 (forall @t527 (or @t526 @t528))) % 1.04/1.31 (assume @p300 (forall (@list @t529 @t400) (or (not (= (tptp.c_Lambda_OdB_OAbs @t529) @t401)) (= @t529 @t400)))) % 1.04/1.31 (assume @p301 (forall @t76 (or @t354 (not (tptp.c_HOL_Oord__class_Oless @t353 @t49 @t3))))) % 1.04/1.31 (assume @p302 (forall @t40 (or @t532 @t531 @t36))) % 1.04/1.31 (assume @p303 (forall @t33 (or @t530 (not @t532) @t36))) % 1.04/1.31 (assume @p304 (forall @t35 (or @t533 @t531 @t20))) % 1.04/1.31 (assume @p305 (forall @t33 (or @t530 (not @t533) @t20))) % 1.04/1.31 (assume @p306 (forall @t147 (or @t534 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t230 @t3) (tptp.c_HOL_Otimes__class_Otimes @t145 @t144 @t3))))) % 1.04/1.31 (assume @p307 (forall @t536 (or @t535 @t525))) % 1.04/1.31 (assume @p308 (forall @t536 (or @t535 @t528))) % 1.04/1.31 (assume @p309 (forall @t283 (or @t75 @t107 @t105 (not @t537)))) % 1.04/1.31 (assume @p310 (forall (@list @t3 @t538 @t73 @t72 @t86) (or @t166 @t165 (not (= (tptp.hAPP (tptp.hAPP @t8 (tptp.c_HOL_Otimes__class_Otimes @t538 @t73 @t3)) @t168) (tptp.hAPP (tptp.hAPP @t8 (tptp.c_HOL_Otimes__class_Otimes @t538 @t86 @t3)) @t167))) @t540 @t539))) % 1.04/1.31 (assume @p311 (forall @t63 (or @t166 @t165 (not (= (tptp.hAPP @t543 @t59) (tptp.hAPP (tptp.hAPP @t8 (tptp.c_HOL_Otimes__class_Otimes @t6 @t1 @t3)) @t369))) @t542 @t541))) % 1.04/1.31 (assume @p312 (forall (@list @t6 @t2 @t5 @t1) (or (not (= (tptp.hAPP (tptp.hAPP @t24 (tptp.c_HOL_Otimes__class_Otimes @t6 @t2 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t5 @t1 tptp.tc_nat)) (tptp.hAPP (tptp.hAPP @t24 (tptp.c_HOL_Otimes__class_Otimes @t6 @t1 tptp.tc_nat)) (tptp.c_HOL_Otimes__class_Otimes @t5 @t2 tptp.tc_nat)))) @t542 @t541))) % 1.04/1.31 (assume @p313 (forall (@list @t538 @t73 @t72 @t86) (or (not (= (tptp.hAPP (tptp.hAPP @t24 (tptp.c_HOL_Otimes__class_Otimes @t538 @t73 tptp.tc_nat)) @t159) (tptp.hAPP (tptp.hAPP @t24 (tptp.c_HOL_Otimes__class_Otimes @t538 @t86 tptp.tc_nat)) @t158))) @t540 @t539))) % 1.04/1.31 (assume @p314 (forall @t46 (= (tptp.c_HOL_Ominus__class_Ominus @t44 @t47 tptp.tc_nat) @t99))) % 1.04/1.31 (assume @p315 (forall (@list @t69 @t545 @t544) (not (= @t402 @t546)))) % 1.04/1.31 (assume @p316 (forall @t179 (or @t234 @t508 @t417 @t548))) % 1.04/1.31 (assume @p317 (forall @t179 (or @t234 @t508 @t550 @t409))) % 1.04/1.31 (assume @p318 (forall @t46 (or @t124 @t324 @t220))) % 1.04/1.31 (assume @p319 (forall @t46 (or @t124 @t552 @t328))) % 1.04/1.31 (assume @p320 (forall @t330 (or @t553 @t552 @t328))) % 1.04/1.31 (assume @p321 (forall @t235 (or @t354 (tptp.c_lessequals @t555 @t49 @t3)))) % 1.04/1.31 (assume @p322 (forall @t276 (or (= @t557 @t556) @t118))) % 1.04/1.31 (assume @p323 (forall @t522 (or (= @t560 @t558) @t118))) % 1.04/1.31 (assume @p324 (= (tptp.c_HOL_Otimes__class_Otimes @t142 @t142 tptp.tc_nat) @t142)) % 1.04/1.31 (assume @p325 (forall @t569 (or @t194 (= @t568 (tptp.c_HOL_Otimes__class_Otimes @t565 (tptp.c_HOL_Otimes__class_Otimes @t562 @t561 @t3) @t3))))) % 1.04/1.31 (assume @p326 (forall @t569 (or @t194 (= @t568 (tptp.c_HOL_Otimes__class_Otimes @t564 (tptp.c_HOL_Otimes__class_Otimes @t562 @t566 @t3) @t3))))) % 1.04/1.31 (assume @p327 (forall @t569 (or @t194 (= @t568 (tptp.c_HOL_Otimes__class_Otimes @t563 (tptp.c_HOL_Otimes__class_Otimes @t567 @t561 @t3) @t3))))) % 1.04/1.31 (assume @p328 (forall @t276 (or (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t122 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t211 @t18 tptp.tc_nat)) @t118))) % 1.04/1.31 (assume @p329 (forall (@list @t18 @t21 @t117) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t18 @t21 tptp.tc_nat) @t117 tptp.tc_nat) @t570))) % 1.04/1.31 (assume @p330 (forall (@list @t26 @t148 @t504) (or (not (= @t571 @t505)) (= @t571 @t148)))) % 1.04/1.31 (assume @p331 (forall @t302 (= (tptp.c_Type_Otype_Otype__rec @t299 @t298 @t321 @t3) @t572))) % 1.04/1.31 (assume @p332 (forall (@list @t149 @t504 @t148) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t149 @t504 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t505) @t150))) % 1.04/1.31 (assume @p333 (forall @t297 (= @t292 @t573))) % 1.04/1.31 (assume @p334 (= @t142 @t143)) % 1.04/1.31 (assume @p335 (forall @t76 (or @t243 @t241 @t254 @t85))) % 1.04/1.31 (assume @p336 (forall @t224 (not @t461))) % 1.04/1.31 (assume @p337 (forall @t171 (not (tptp.c_HOL_Oord__class_Oless @t21 @t21 tptp.tc_nat)))) % 1.04/1.31 (assume @p338 (forall @t297 (or @t247 @t458))) % 1.04/1.31 (assume @p339 (forall @t297 (or @t75 @t458))) % 1.04/1.31 (assume @p340 (forall @t297 (or @t243 @t458))) % 1.04/1.31 (assume @p341 (forall @t575 (or (not (tptp.c_lessequals @t19 @t574 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t574 @t19 tptp.tc_nat) @t117)))) % 1.04/1.31 (assume @p342 (forall @t297 (or @t75 (= (tptp.c_Orderings_Oord__class_Omin @t72 @t72 @t3) @t72)))) % 1.04/1.31 (assume @p343 (forall @t578 (tptp.c_Lambda_Obeta @t577 (tptp.c_Lambda_Osubst @t148 @t151 @t64)))) % 1.04/1.31 (assume @p344 (forall @t179 (or @t234 @t579 @t57 @t129))) % 1.04/1.31 (assume @p345 (forall @t330 (tptp.c_lessequals @t21 @t358 tptp.tc_nat))) % 1.04/1.31 (assume @p346 (forall @t330 (tptp.c_lessequals @t21 @t42 tptp.tc_nat))) % 1.04/1.31 (assume @p347 (forall @t272 (tptp.c_lessequals @t26 @t271 tptp.tc_nat))) % 1.04/1.31 (assume @p348 (forall @t330 (= (tptp.hAPP (tptp.hAPP @t24 @t580) @t26) (tptp.c_Orderings_Oord__class_Omax @t21 @t26 tptp.tc_nat)))) % 1.04/1.31 (assume @p349 (forall @t581 (or @t227 (= (tptp.c_List_Olistsum @t442 @t3) (tptp.hAPP @t256 @t226))))) % 1.04/1.31 (assume @p350 (forall @t291 (or @t412 @t245 @t241 @t395))) % 1.04/1.31 (assume @p351 (forall @t76 (or @t75 @t395 @t245 @t241))) % 1.04/1.31 (assume @p352 (forall @t46 (or @t124 @t350 @t98))) % 1.04/1.31 (assume @p353 (forall @t330 (or @t328 @t324 @t124))) % 1.04/1.31 (assume @p354 (forall (@list @t65 @t21 @t26) (or (tptp.hBOOL (tptp.hAPP @t268 @t26)) @t328 @t124 @t324))) % 1.04/1.31 (assume @p355 (forall (@list @t248 @t583 @t4 @t19 @t452) (or (= @t248 @t583) (not (tptp.c_Type_Otyping @t4 @t582 @t583)) (not (tptp.c_Type_Otyping @t4 @t582 @t248))))) % 1.04/1.31 (assume @p356 (forall (@list @t73 @t72) (or (tptp.c_HOL_Oord__class_Oless @t73 @t72 tptp.tc_nat) @t332 @t395))) % 1.04/1.31 (assume @p357 (forall @t76 (or @t247 @t395 @t255 @t85))) % 1.04/1.31 (assume @p358 (forall @t291 (or @t75 @t245 @t241 @t395))) % 1.04/1.31 (assume @p359 (forall @t76 (or @t247 @t395 @t85 @t255))) % 1.04/1.31 (assume @p360 (forall (@list @t21 @t72 @t3 @t117) (= (tptp.c_List_Oappend @t444 @t584 @t3) (tptp.c_List_Oappend @t584 @t444 @t3)))) % 1.04/1.31 (assume @p361 (forall @t291 (or @t75 @t245 @t395 @t241))) % 1.04/1.31 (assume @p362 (forall @t76 (or @t75 @t395 @t241 @t245))) % 1.04/1.31 (assume @p363 (forall @t179 (or @t104 @t213 (not @t585)))) % 1.04/1.31 (assume @p364 (forall @t179 (or @t104 @t585 @t214))) % 1.04/1.31 (assume @p365 (forall @t297 (or @t75 (= (tptp.c_Orderings_Oord__class_Omax @t72 @t72 @t3) @t72)))) % 1.04/1.31 (assume @p366 (forall @t590 (or @t589 (= @t586 @t544)))) % 1.04/1.31 (assume @p367 (forall @t590 (or @t589 (= @t587 @t545)))) % 1.04/1.31 (assume @p368 (forall @t63 (or @t592 @t591 @t55 @t54))) % 1.04/1.31 (assume @p369 (forall @t212 (or (tptp.c_HOL_Oord__class_Oless @t211 @t209 tptp.tc_nat) @t359 @t337))) % 1.04/1.31 (assume @p370 (forall @t396 (or @t450 @t333))) % 1.04/1.31 (assume @p371 (forall @t46 (or @t97 @t325))) % 1.04/1.31 (assume @p372 (forall @t76 (or @t247 @t84 @t242))) % 1.04/1.31 (assume @p373 (forall @t76 (or @t243 @t84 @t242))) % 1.04/1.31 (assume @p374 (forall @t596 (or @t595 @t594))) % 1.04/1.31 (assume @p375 (forall @t596 (or @t595 @t597))) % 1.04/1.31 (assume @p376 (forall (@list @t148 @t504 @t149) (or (not (= @t505 @t503)) (= @t148 @t503)))) % 1.04/1.31 (assume @p377 (forall (@list @t3 @t599 @t598) (not (= @t292 @t600)))) % 1.04/1.31 (assume @p378 (forall @t157 (or @t75 @t152 @t601))) % 1.04/1.31 (assume @p379 (forall @t380 (or @t75 @t154 @t601))) % 1.04/1.31 (assume @p380 (forall @t91 (or @t75 @t537 @t106))) % 1.04/1.31 (assume @p381 (forall @t91 (or @t75 @t537 @t108))) % 1.04/1.31 (assume @p382 (forall @t185 (or (= (tptp.c_HOL_Ominus__class_Ominus @t471 @t470 tptp.tc_nat) @t99) @t469 @t468))) % 1.04/1.31 (assume @p383 (forall @t276 (= @t474 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t19 @t117 tptp.tc_nat) @t18 tptp.tc_nat)))) % 1.04/1.31 (assume @p384 (forall @t179 (or @t234 @t579 @t57 @t93))) % 1.04/1.31 (assume @p385 (forall @t179 (or @t234 @t579 @t239 @t129))) % 1.04/1.31 (assume @p386 (forall (@list @t6 @t2 @t5) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t6 @t2 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t5 @t2 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t2 @t6 tptp.tc_nat)) @t602))) % 1.04/1.31 (assume @p387 (forall @t179 (or @t354 @t603 @t550 @t93))) % 1.04/1.31 (assume @p388 (forall @t179 (or @t354 @t603 @t239 @t548))) % 1.04/1.31 (assume @p389 (forall @t179 (or @t604 @t603 @t550 @t93))) % 1.04/1.31 (assume @p390 (forall @t179 (or @t604 @t603 @t239 @t548))) % 1.04/1.31 (assume @p391 (forall @t415 (or @t604 (tptp.c_lessequals @t236 @t49 @t3) @t550 @t93))) % 1.04/1.31 (assume @p392 (forall @t175 (or @t354 (not (tptp.c_HOL_Oord__class_Oless @t605 @t49 @t3))))) % 1.04/1.31 (assume @p393 (forall @t189 (or @t609 @t325))) % 1.04/1.31 (assume @p394 (forall @t141 (or @t324 (not @t609)))) % 1.04/1.31 (assume @p395 (forall @t46 (or @t610 (= @t44 @t21) @t325))) % 1.04/1.31 (assume @p396 (forall @t46 (or @t98 @t331))) % 1.04/1.31 (assume @p397 (forall @t330 (or @t329 @t97))) % 1.04/1.31 (assume @p398 (forall @t160 (or (not (= (tptp.hAPP @t263 @t73) @t264)) @t540))) % 1.04/1.31 (assume @p399 (forall @t185 (or (not (= @t446 @t140)) @t124))) % 1.04/1.31 (assume @p400 (forall @t189 (or (not (= @t120 @t360)) @t124))) % 1.04/1.31 (assume @p401 (forall @t91 (or @t166 @t165 (not (= @t257 @t261)) @t540))) % 1.04/1.31 (assume @p402 (forall @t372 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t3)) @t612 @t611))) % 1.04/1.31 (assume @p403 (forall @t372 (or @t613 @t612 @t611))) % 1.04/1.31 (assume @p404 (forall @t136 (or @t613 (not (= @t357 @t356)) @t611))) % 1.04/1.31 (assume @p405 (forall (@list @t72 @t476 @t111 @t3) (= @t510 @t512))) % 1.04/1.31 (assume @p406 (forall (@list @t72 @t614 @t111 @t3) (= (tptp.c_List_Olist_OCons @t72 (tptp.c_List_Oappend @t614 @t111 @t3) @t3) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t72 @t614 @t3) @t111 @t3)))) % 1.04/1.31 (assume @p407 (forall @t91 (or @t135 (= (tptp.hAPP (tptp.hAPP @t8 @t74) @t86) (tptp.c_Orderings_Oord__class_Omin @t261 @t259 @t3))))) % 1.04/1.31 (assume @p408 (forall @t141 (or (tptp.c_lessequals @t26 (tptp.c_HOL_Ominus__class_Ominus @t358 @t117 tptp.tc_nat) tptp.tc_nat) @t469))) % 1.04/1.31 (assume @p409 (forall (@list @t72 @t476 @t3) (not (= @t511 @t292)))) % 1.04/1.31 (assume @p410 (forall (@list @t599 @t598 @t3) (not (= @t600 @t292)))) % 1.04/1.31 (assume @p411 (forall (@list @t305 @t306 @t72 @t73 @t190 @t307 @t304 @t303 @t3) (or (= (tptp.hAPP (tptp.hAPP @t305 @t617) @t190) (tptp.hAPP @t615 (tptp.hAPP (tptp.hAPP @t305 @t73) @t190))) @t308))) % 1.04/1.31 (assume @p412 (forall (@list @t306 @t72 @t307 @t73 @t86 @t305 @t304 @t303 @t3) (or (= (tptp.hAPP @t616 @t619) (tptp.hAPP (tptp.hAPP @t307 @t617) (tptp.hAPP @t616 @t86))) @t308))) % 1.04/1.31 (assume @p413 (forall (@list @t306 @t72 @t73 @t307 @t305 @t304 @t303 @t3) (or (= @t617 (tptp.hAPP @t620 @t72)) @t308))) % 1.04/1.31 (assume @p414 (forall (@list @t306 @t72 @t73 @t86 @t307 @t305 @t304 @t303 @t3) (or (= (tptp.hAPP @t616 (tptp.hAPP @t620 @t86)) (tptp.hAPP (tptp.hAPP @t306 @t617) @t86)) @t308))) % 1.04/1.31 (assume @p415 (forall (@list @t306 @t303 @t72 @t307 @t305 @t304 @t3) (or (= (tptp.hAPP @t621 @t72) @t72) @t308))) % 1.04/1.31 (assume @p416 (forall (@list @t306 @t304 @t72 @t307 @t305 @t303 @t3) (or (= (tptp.hAPP @t622 @t72) @t304) @t308))) % 1.04/1.31 (assume @p417 (forall (@list @t307 @t72 @t73 @t306 @t305 @t304 @t303 @t3) (or (= @t624 (tptp.hAPP @t618 @t72)) @t308))) % 1.04/1.31 (assume @p418 (forall (@list @t307 @t72 @t73 @t86 @t306 @t305 @t304 @t303 @t3) (or (= (tptp.hAPP @t623 @t619) (tptp.hAPP (tptp.hAPP @t307 @t624) @t86)) @t308))) % 1.04/1.31 (assume @p419 (forall (@list @t307 @t304 @t72 @t306 @t305 @t303 @t3) (or (= (tptp.hAPP @t625 @t72) @t72) @t308))) % 1.04/1.31 (assume @p420 (forall @t632 (or (= @t631 (tptp.hAPP @t628 @t1)) @t308))) % 1.04/1.31 (assume @p421 (forall (@list @t307 @t6 @t2 @t306 @t305 @t304 @t303 @t3) (or (= @t627 (tptp.hAPP @t629 @t6)) @t308))) % 1.04/1.31 (assume @p422 (forall @t636 (or (= @t635 (tptp.hAPP @t628 @t5)) @t308))) % 1.04/1.31 (assume @p423 (forall @t632 (or (= @t631 (tptp.hAPP @t629 (tptp.hAPP @t626 @t1))) @t308))) % 1.04/1.31 (assume @p424 (forall @t636 (or (= @t635 (tptp.hAPP @t626 (tptp.hAPP @t637 @t2))) @t308))) % 1.04/1.31 (assume @p425 (forall (@list @t307 @t6 @t5 @t2 @t1 @t306 @t305 @t304 @t303 @t3) (or (= (tptp.hAPP @t634 @t630) (tptp.hAPP @t628 (tptp.hAPP @t637 @t1))) @t308))) % 1.04/1.31 (assume @p426 (forall @t642 (or (= @t641 (tptp.hAPP @t639 (tptp.hAPP @t638 @t561))) @t308))) % 1.04/1.31 (assume @p427 (forall @t642 (or (= @t641 (tptp.hAPP @t643 @t561)) @t308))) % 1.04/1.31 (assume @p428 (forall @t647 (or (= @t646 (tptp.hAPP @t638 (tptp.hAPP @t644 @t563))) @t308))) % 1.04/1.31 (assume @p429 (forall @t647 (or (= @t646 (tptp.hAPP @t643 @t562)) @t308))) % 1.04/1.31 (assume @p430 (forall @t649 (or (= @t648 (tptp.hAPP @t639 (tptp.hAPP @t645 @t561))) @t308))) % 1.04/1.31 (assume @p431 (forall @t649 (or (= @t648 (tptp.hAPP @t638 (tptp.hAPP @t644 @t640))) @t308))) % 1.04/1.31 (assume @p432 (forall @t649 (or (= @t648 (tptp.hAPP @t643 (tptp.hAPP @t644 @t561))) @t308))) % 1.04/1.31 (assume @p433 (forall (@list @t306 @t6 @t303 @t307 @t305 @t304 @t3) (or (= (tptp.hAPP @t650 @t303) @t6) @t308))) % 1.04/1.31 (assume @p434 (forall (@list @t306 @t303 @t6 @t307 @t305 @t304 @t3) (or (= (tptp.hAPP @t621 @t6) @t6) @t308))) % 1.04/1.31 (assume @p435 (forall (@list @t306 @t6 @t304 @t307 @t305 @t303 @t3) (or (= (tptp.hAPP @t650 @t304) @t304) @t308))) % 1.04/1.31 (assume @p436 (forall (@list @t306 @t304 @t6 @t307 @t305 @t303 @t3) (or (= (tptp.hAPP @t622 @t6) @t304) @t308))) % 1.04/1.31 (assume @p437 (forall (@list @t306 @t307 @t6 @t5 @t2 @t305 @t304 @t303 @t3) (or (= (tptp.hAPP @t652 @t2) (tptp.hAPP (tptp.hAPP @t307 (tptp.hAPP @t650 @t2)) (tptp.hAPP @t651 @t2))) @t308))) % 1.04/1.31 (assume @p438 (forall (@list @t306 @t6 @t5 @t307 @t305 @t304 @t303 @t3) (or (= (tptp.hAPP @t650 @t5) (tptp.hAPP @t651 @t6)) @t308))) % 1.04/1.31 (assume @p439 (forall (@list @t307 @t6 @t304 @t306 @t305 @t303 @t3) (or (= (tptp.hAPP @t626 @t304) @t6) @t308))) % 1.04/1.31 (assume @p440 (forall (@list @t307 @t304 @t6 @t306 @t305 @t303 @t3) (or (= (tptp.hAPP @t625 @t6) @t6) @t308))) % 1.04/1.31 (assume @p441 (forall (@list @t307 @t26 @t306 @t303 @t305 @t304 @t3) (or (= (tptp.hAPP @t653 @t26) (tptp.hAPP (tptp.hAPP @t306 (tptp.hAPP (tptp.hAPP @t307 @t303) @t303)) @t26)) @t308))) % 1.04/1.31 (assume @p442 (forall (@list @t307 @t26 @t306 @t6 @t303 @t305 @t304 @t3) (or (= (tptp.hAPP @t653 @t655) @t654) @t308))) % 1.04/1.31 (assume @p443 (forall (@list @t307 @t306 @t6 @t26 @t303 @t305 @t304 @t3) (or (= (tptp.hAPP @t656 @t26) @t654) @t308))) % 1.04/1.31 (assume @p444 (forall (@list @t307 @t306 @t6 @t26 @t5 @t305 @t304 @t303 @t3) (or (= (tptp.hAPP @t656 (tptp.hAPP @t651 @t26)) (tptp.hAPP @t652 @t26)) @t308))) % 1.04/1.31 (assume @p445 (forall (@list @t65 @t299 @t298 @t657) (or (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Type_Otype_Otype__case @t299 @t298 (tptp.c_Type_Otype_OAtom @t657) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t65 (tptp.hAPP @t299 @t657)))))) % 1.04/1.31 (assume @p446 (forall @t514 (or (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Type_Otype_Otype__case @t299 @t298 @t321 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t65 @t572))))) % 1.04/1.31 (assume @p447 (forall (@list @t149 @t452 @t148) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t149 @t452 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t148 @t452 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t597))) % 1.04/1.31 (assume @p448 (forall @t46 (or @t658 @t363 @t170))) % 1.04/1.31 (assume @p449 (forall @t46 (or @t658 @t414 @t361))) % 1.04/1.31 (assume @p450 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t351 @t606 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t99 @t117 tptp.tc_nat)))) % 1.04/1.31 (assume @p451 (forall @t189 (or @t659 @t98))) % 1.04/1.31 (assume @p452 (forall @t141 (or @t97 (not @t659)))) % 1.04/1.31 (assume @p453 (forall @t76 (or @t354 @t660 @t394))) % 1.04/1.31 (assume @p454 (forall @t76 (or @t354 @t660 @t390))) % 1.04/1.31 (assume @p455 (forall (@list @t149) (or (tptp.c_InductTermi_OIT @t503) @t661))) % 1.04/1.31 (assume @p456 (forall (@list @t3 @t6 @t5 @t2 @t1) (or @t194 (= (tptp.hAPP @t428 @t432) (tptp.hAPP @t431 @t217))))) % 1.04/1.31 (assume @p457 (forall (@list @t22 @t148 @t151) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t663 @t148) (tptp.hAPP @t663 @t151)) @t662))) % 1.04/1.31 (assume @p458 (forall (@list @t148 @t22 @t151) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t664 @t22) @t250) @t662))) % 1.04/1.31 (assume @p459 (forall @t665 (or @t95 (not (tptp.c_HOL_Oord__class_Oless @t145 @t49 @t3))))) % 1.04/1.31 (assume @p460 (forall @t76 (or @t75 (= @t109 @t666)))) % 1.04/1.31 (assume @p461 (forall @t475 (or @t95 (not (= @t94 @t423)) @t541 @t421 @t239 @t93))) % 1.04/1.31 (assume @p462 (forall @t171 (tptp.c_lessequals @t47 @t47 tptp.tc_nat))) % 1.04/1.31 (assume @p463 (forall (@list @t19 @t117 @t72 @t3) (= (tptp.c_List_Odrop @t19 @t584 @t3) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t117 @t19 tptp.tc_nat) @t72 @t3)))) % 1.04/1.31 (assume @p464 (forall @t91 (or @t75 (tptp.c_lessequals @t313 @t314 @t3)))) % 1.04/1.31 (assume @p465 (forall @t295 (= @t573 @t292))) % 1.04/1.31 (assume @p466 (forall (@list @t69) (= (tptp.c_nat_Onat__size @t301) (tptp.hAPP (tptp.hAPP @t24 (tptp.c_nat_Onat__size @t69)) @t142)))) % 1.04/1.31 (assume @p467 (forall @t76 (or @t75 (= (tptp.c_Orderings_Oord__class_Omax @t72 @t74 @t3) @t72)))) % 1.04/1.31 (assume @p468 (forall @t668 (tptp.c_lessequals @t26 @t667 tptp.tc_nat))) % 1.04/1.31 (assume @p469 (forall @t494 (or @t354 @t490 @t495 @t376))) % 1.04/1.31 (assume @p470 (forall @t136 (or @t354 @t669 @t53 @t376))) % 1.04/1.31 (assume @p471 (forall @t494 (or @t354 @t490 @t495 @t371))) % 1.04/1.31 (assume @p472 (forall @t136 (or @t354 @t669 @t53 @t371))) % 1.04/1.31 (assume @p473 (forall @t671 (or (= (tptp.c_HOL_Ominus__class_Ominus @t21 @t670 tptp.tc_nat) @t19) (not (tptp.c_lessequals @t19 @t21 tptp.tc_nat))))) % 1.04/1.31 (assume @p474 (forall @t575 (or (= (tptp.c_Lambda_Olift @t176 @t117) @t176) (not @t336)))) % 1.04/1.31 (assume @p475 (forall (@list @t72 @t151 @t3) (not (= (tptp.c_List_Olist_OCons @t72 @t151 @t3) @t151)))) % 1.04/1.31 (assume @p476 (forall (@list @t19 @t151) (not (tptp.c_Lambda_Obeta @t176 @t151)))) % 1.04/1.31 (assume @p477 (forall (@list @t26 @t18 @t117) (or (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t123 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t446 @t121 tptp.tc_nat)) @t118))) % 1.04/1.31 (assume @p478 (forall @t179 (or @t104 @t53 (not @t672)))) % 1.04/1.31 (assume @p479 (forall @t179 (or @t104 @t672 @t54))) % 1.04/1.31 (assume @p480 (forall @t147 (or @t95 @t673 @t325))) % 1.04/1.31 (assume @p481 (forall @t147 (or @t95 @t324 (not @t673)))) % 1.04/1.31 (assume @p482 (forall @t171 (tptp.c_HOL_Oord__class_Oless @t21 @t47 tptp.tc_nat))) % 1.04/1.31 (assume @p483 (forall @t224 @t222)) % 1.04/1.31 (assume @p484 (forall @t275 (or (tptp.c_HOL_Oord__class_Oless @t674 @t117 tptp.tc_nat) @t570 @t337))) % 1.04/1.31 (assume @p485 (forall @t676 (or @t135 @t675 @t214))) % 1.04/1.31 (assume @p486 (forall @t372 (or @t135 @t213 (not @t675)))) % 1.04/1.31 (assume @p487 (forall @t494 (or @t135 @t678 @t214))) % 1.04/1.31 (assume @p488 (forall @t372 (or @t135 @t213 (not @t678)))) % 1.04/1.31 (assume @p489 (forall @t676 (or @t218 @t675 @t214))) % 1.04/1.31 (assume @p490 (forall @t494 (or @t218 @t678 @t214))) % 1.04/1.31 (assume @p491 (forall @t275 (or (tptp.c_lessequals @t211 @t473 tptp.tc_nat) @t20))) % 1.04/1.31 (assume @p492 (forall @t141 (or @t97 (not @t679)))) % 1.04/1.31 (assume @p493 (forall @t189 (or @t679 @t98))) % 1.04/1.31 (assume @p494 (forall @t680 (or @t20 (= @t18 (tptp.hAPP (tptp.hAPP @t24 @t23) @t19))))) % 1.04/1.31 (assume @p495 (forall @t330 (or @t681 @t350))) % 1.04/1.31 (assume @p496 (forall @t46 (or (= (tptp.hAPP (tptp.hAPP @t24 @t99) @t21) @t26) @t350))) % 1.04/1.31 (assume @p497 (forall (@list @t306 @t72 @t305 @t190 @t307 @t304 @t303 @t3) (or (= @t683 @t682) @t308))) % 1.04/1.31 (assume @p498 (forall (@list @t306 @t305 @t72 @t190 @t307 @t304 @t303 @t3) (or (= (tptp.hAPP @t615 @t72) @t682) @t308))) % 1.04/1.31 (assume @p499 (forall (@list @t305 @t72 @t190 @t306 @t307 @t304 @t303 @t3) (or (= @t682 @t683) @t308))) % 1.04/1.31 (assume @p500 (forall (@list @t305 @t72 @t21 @t306 @t307 @t304 @t303 @t3) (or (= (tptp.hAPP @t309 @t47) (tptp.hAPP @t616 (tptp.hAPP @t309 @t21))) @t308))) % 1.04/1.31 (assume @p501 (forall @t141 (or @t324 @t485))) % 1.04/1.31 (assume @p502 (forall @t141 (or @t324 @t483))) % 1.04/1.31 (assume @p503 (forall @t276 (or (= @t556 @t557) @t118))) % 1.04/1.31 (assume @p504 (forall @t523 (or (= @t558 @t560) @t118))) % 1.04/1.31 (assume @p505 (forall (@list @t21 @t26 @t114 @t3) (= (tptp.c_List_Odrop @t21 (tptp.c_List_Odrop @t26 @t114 @t3) @t3) (tptp.c_List_Odrop @t358 @t114 @t3)))) % 1.04/1.31 (assume @p506 (forall @t425 (or @t95 @t213 @t239 (not (tptp.c_lessequals @t198 @t684 @t3))))) % 1.04/1.31 (assume @p507 (forall (@list @t21 @t26 @t72 @t3) (= (tptp.c_List_Oreplicate @t358 @t72 @t3) (tptp.c_List_Oappend @t444 @t125 @t3)))) % 1.04/1.31 (assume @p508 (forall @t76 (or @t685 (= (tptp.c_HOL_Otimes__class_Otimes @t72 @t167 @t3) @t167)))) % 1.04/1.31 (assume @p509 (forall @t52 (or @t95 @t686 @t421))) % 1.04/1.31 (assume @p510 (forall @t52 (or @t95 @t420 (not @t686)))) % 1.04/1.31 (assume @p511 (forall @t63 (or @t62 @t61 @t496 @t93 @t215 @t54))) % 1.04/1.31 (assume @p512 (forall @t63 (or @t62 @t61 @t58 @t129 @t55 @t214))) % 1.04/1.31 (assume @p513 (forall @t445 (or (not (= @t444 @t292)) @t170))) % 1.04/1.31 (assume @p514 (forall @t205 (or @t194 (= @t202 @t204)))) % 1.04/1.31 (assume @p515 (forall @t205 (or @t194 (= (tptp.c_HOL_Otimes__class_Otimes @t201 @t72 @t3) @t204)))) % 1.04/1.31 (assume @p516 (forall (@list @t3 @t21 @t72) (or (not (= @t292 @t444)) @t170))) % 1.04/1.31 (assume @p517 (forall @t415 (or @t354 @t238 @t549 @t687))) % 1.04/1.31 (assume @p518 (forall @t179 (or @t354 @t547 @t549 @t687))) % 1.04/1.31 (assume @p519 (forall @t415 (or @t354 @t238 @t92 @t687))) % 1.04/1.31 (assume @p520 (forall @t179 (or @t354 @t547 @t92 @t687))) % 1.04/1.31 (assume @p521 (forall @t415 (or @t62 (tptp.c_HOL_Oord__class_Oless @t236 @t49 @t3) @t417 @t129))) % 1.04/1.31 (assume @p522 (forall @t179 (or @t62 @t688 @t417 @t129))) % 1.04/1.31 (assume @p523 (forall @t179 (or @t62 @t688 @t57 @t409))) % 1.04/1.31 (assume @p524 (forall @t46 (or @t97 @t327))) % 1.04/1.31 (assume @p525 (forall @t46 (or @t689 @t98))) % 1.04/1.31 (assume @p526 (forall @t456 (or (tptp.c_Type_Otypings @t4 @t452 @t690) @t454))) % 1.04/1.31 (assume @p527 (forall @t330 (or (tptp.c_HOL_Oord__class_Oless @t21 @t230 tptp.tc_nat) @t499 @t498))) % 1.04/1.31 (assume @p528 (forall @t330 (or (tptp.c_HOL_Oord__class_Oless @t21 @t229 tptp.tc_nat) @t499 @t498))) % 1.04/1.31 (assume @p529 (forall @t171 (not (tptp.c_lessequals @t47 @t21 tptp.tc_nat)))) % 1.04/1.31 (assume @p530 (forall @t141 (or @t324 (not @t691) @t469 @t468))) % 1.04/1.31 (assume @p531 (forall @t185 (or @t691 @t325 @t469 @t468))) % 1.04/1.31 (assume @p532 (forall @t136 (or @t95 @t133 @t467 @t129))) % 1.04/1.31 (assume @p533 (forall (@list @t18 @t22 @t19) (or (= (tptp.c_Lambda_Osubst @t693 @t22 @t19) @t693) @t692))) % 1.04/1.31 (assume @p534 (forall (@list @t149 @t19 @t18) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t149 @t176 @t18)) @t661))) % 1.04/1.31 (assume @p535 (forall @t175 (or @t174 @t694 @t548))) % 1.04/1.31 (assume @p536 (forall @t175 (or @t174 @t547 (not @t694)))) % 1.04/1.31 (assume @p537 (forall @t680 (not (tptp.c_HOL_Oord__class_Oless @t335 @t19 tptp.tc_nat)))) % 1.04/1.31 (assume @p538 (forall (@list @t18 @t19) (not (tptp.c_HOL_Oord__class_Oless @t559 @t19 tptp.tc_nat)))) % 1.04/1.31 (assume @p539 (forall @t147 (or (not (tptp.class_Ring__and__Field_Oring__1 @t3)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t99 @t3) (tptp.c_HOL_Ominus__class_Ominus @t145 @t144 @t3)) @t350))) % 1.04/1.31 (assume @p540 (forall @t676 (or @t344 @t497 @t695 @t317))) % 1.04/1.31 (assume @p541 (forall @t494 (or @t344 @t492 @t695 @t317))) % 1.04/1.31 (assume @p542 (forall @t676 (or @t696 @t497 @t58 @t214))) % 1.04/1.31 (assume @p543 (forall @t494 (or @t696 @t492 @t58 @t214))) % 1.04/1.31 (assume @p544 (forall @t494 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t3)) @t492 @t58 @t214))) % 1.04/1.31 (assume @p545 (forall @t536 (or (not (= @t115 @t114)) @t528))) % 1.04/1.31 (assume @p546 (forall @t536 (or (not (= @t114 @t115)) @t528))) % 1.04/1.31 (assume @p547 (forall @t536 (or (not (= @t115 @t112)) @t525))) % 1.04/1.31 (assume @p548 (forall (@list @t112 @t114 @t3) (or (not (= @t112 @t115)) @t525))) % 1.04/1.31 (assume @p549 (forall (@list @t3 @t72 @t149 @t2 @t1) (or @t166 @t165 (not (= (tptp.hAPP @t256 (tptp.c_HOL_Otimes__class_Otimes @t149 @t2 @t3)) (tptp.hAPP @t256 (tptp.c_HOL_Otimes__class_Otimes @t149 @t1 @t3)))) @t542 (= @t149 @t49)))) % 1.04/1.31 (assume @p550 (forall (@list @t72 @t149 @t2 @t1) (or (not (= (tptp.hAPP @t263 (tptp.c_HOL_Otimes__class_Otimes @t149 @t2 tptp.tc_nat)) (tptp.hAPP @t263 (tptp.c_HOL_Otimes__class_Otimes @t149 @t1 tptp.tc_nat)))) @t542 (= @t149 @t64)))) % 1.04/1.31 (assume @p551 (forall @t581 (= @t697 @t442))) % 1.04/1.31 (assume @p552 (forall @t76 (or @t354 @t698 @t390))) % 1.04/1.31 (assume @p553 (forall @t76 (or @t354 @t698 @t394))) % 1.04/1.31 (assume @p554 (forall @t275 (or @t700 (not @t699)))) % 1.04/1.31 (assume @p555 (forall @t276 (or @t699 (not @t700)))) % 1.04/1.31 (assume @p556 (forall @t171 (not (= @t47 @t21)))) % 1.04/1.31 (assume @p557 (forall @t171 (not (= @t21 @t47)))) % 1.04/1.31 (assume @p558 (forall @t676 (or @t592 @t701 @t54))) % 1.04/1.31 (assume @p559 (forall @t676 (or @t135 @t701 @t54))) % 1.04/1.31 (assume @p560 (forall @t372 (or @t135 @t53 (not @t701)))) % 1.04/1.31 (assume @p561 (forall @t494 (or @t592 @t702 @t54))) % 1.04/1.31 (assume @p562 (forall @t494 (or @t135 @t702 @t54))) % 1.04/1.31 (assume @p563 (forall @t372 (or @t135 @t53 (not @t702)))) % 1.04/1.31 (assume @p564 (forall @t275 (or (tptp.c_HOL_Oord__class_Oless @t211 @t473 tptp.tc_nat) @t337))) % 1.04/1.31 (assume @p565 (forall @t141 (or @t324 (not @t703)))) % 1.04/1.31 (assume @p566 (forall @t189 (or @t703 @t325))) % 1.04/1.31 (assume @p567 (forall @t46 (or @t438 (not @t440) (not @t441)))) % 1.04/1.31 (assume @p568 (forall @t157 (or @t247 @t280 @t517 @t255))) % 1.04/1.31 (assume @p569 (forall @t157 (or @t247 @t152 @t517 @t246))) % 1.04/1.31 (assume @p570 (forall @t157 (or @t247 @t152 @t155 @t255))) % 1.04/1.31 (assume @p571 (forall @t179 (or @t234 (tptp.c_lessequals @t240 @t49 @t3) @t550 @t548))) % 1.04/1.31 (assume @p572 (forall @t244 (or @t243 @t87 @t278 @t85))) % 1.04/1.31 (assume @p573 (forall @t171 (tptp.c_lessequals @t21 @t21 tptp.tc_nat))) % 1.04/1.31 (assume @p574 (forall @t275 (or (tptp.c_lessequals @t19 @t117 tptp.tc_nat) (not (tptp.c_lessequals @t18 @t117 tptp.tc_nat)) @t20))) % 1.04/1.31 (assume @p575 (forall @t224 @t223)) % 1.04/1.31 (assume @p576 (forall (@list @t114 @t72 @t3) (not (= @t114 @t442)))) % 1.04/1.31 (assume @p577 (forall @t46 (= (tptp.c_Orderings_Oord__class_Omin @t44 @t47 tptp.tc_nat) (tptp.c_Suc @t704)))) % 1.04/1.31 (assume @p578 (forall @t46 (or (= @t26 @t47) @t97 (not @t689)))) % 1.04/1.31 (assume @p579 (forall @t224 (or @t461 @t222))) % 1.04/1.31 (assume @p580 (forall @t46 (or @t325 @t552))) % 1.04/1.31 (assume @p581 (forall @t330 (or @t551 @t324))) % 1.04/1.31 (assume @p582 (forall @t185 (or @t482 @t325 @t138))) % 1.04/1.31 (assume @p583 (forall @t189 (or @t484 @t325 @t138))) % 1.04/1.31 (assume @p584 (forall @t707 (or (tptp.c_HOL_Oord__class_Oless @t706 @t705 tptp.tc_nat) @t138 @t337))) % 1.04/1.31 (assume @p585 (forall @t275 (or (tptp.c_HOL_Oord__class_Oless @t709 @t708 tptp.tc_nat) @t138 @t337))) % 1.04/1.31 (assume @p586 (forall @t141 (or @t324 @t485 @t138))) % 1.04/1.31 (assume @p587 (forall @t136 (or @t354 @t669 @t376 @t491))) % 1.04/1.31 (assume @p588 (forall @t494 (or @t354 @t375 @t710 @t491))) % 1.04/1.31 (assume @p589 (forall @t372 (or @t354 @t53 @t376 @t496))) % 1.04/1.31 (assume @p590 (forall @t494 (or @t354 @t375 @t54 @t496))) % 1.04/1.31 (assume @p591 (forall @t494 (or @t354 @t375 @t491 @t710))) % 1.04/1.31 (assume @p592 (forall @t494 (or @t62 @t375 @t496 @t54))) % 1.04/1.31 (assume @p593 (forall @t676 (or @t354 @t370 @t491 @t710))) % 1.04/1.31 (assume @p594 (forall @t676 (or @t62 @t370 @t496 @t54))) % 1.04/1.31 (assume @p595 (forall @t676 (or @t354 @t370 @t54 @t496))) % 1.04/1.31 (assume @p596 (forall @t676 (or @t354 @t370 @t710 @t491))) % 1.04/1.31 (assume @p597 (forall @t494 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t3)) @t375 @t496 @t54))) % 1.04/1.31 (assume @p598 (forall @t443 (= @t442 @t697))) % 1.04/1.31 (assume @p599 (forall @t91 (or @t135 (= (tptp.hAPP (tptp.hAPP @t8 @t109) @t86) (tptp.c_Orderings_Oord__class_Omax @t261 @t259 @t3))))) % 1.04/1.31 (assume @p600 (forall @t712 (or (tptp.c_InductTermi_OIT (tptp.hAPP @t249 @t176)) @t711))) % 1.04/1.31 (assume @p601 (forall @t475 (or @t95 (not (= @t198 @t684)) @t541 @t239 @t93))) % 1.04/1.31 (assume @p602 (forall @t212 (or (tptp.c_lessequals @t709 (tptp.c_HOL_Otimes__class_Otimes @t18 @t206 tptp.tc_nat) tptp.tc_nat) @t207 @t20))) % 1.04/1.31 (assume @p603 (forall @t668 (tptp.c_lessequals @t26 (tptp.c_HOL_Otimes__class_Otimes @t26 @t667 tptp.tc_nat) tptp.tc_nat))) % 1.04/1.31 (assume @p604 (forall @t63 (or @t714 @t713 @t58 @t239 @t215 @t214))) % 1.04/1.31 (assume @p605 (forall @t63 (or @t714 @t713 @t58 @t93 @t215 @t214))) % 1.04/1.31 (assume @p606 (forall @t91 (or @t75 (= (tptp.c_Orderings_Oord__class_Omax @t109 @t86 @t3) @t715)))) % 1.04/1.31 (assume @p607 (forall @t91 (or @t75 (= @t715 (tptp.c_Orderings_Oord__class_Omax @t73 @t716 @t3))))) % 1.04/1.31 (assume @p608 (forall @t235 (= @t292 @t717))) % 1.04/1.31 (assume @p609 (forall (@list @t3 @t6 @t26 @t5) (or @t194 (= (tptp.hAPP (tptp.hAPP @t8 (tptp.c_HOL_Otimes__class_Otimes @t6 @t26 @t3)) (tptp.c_HOL_Otimes__class_Otimes @t5 @t26 @t3)) (tptp.c_HOL_Otimes__class_Otimes @t240 @t26 @t3))))) % 1.04/1.31 (assume @p610 (forall (@list @t148 @t151 @t21 @t504) (not (= @t577 @t718)))) % 1.04/1.31 (assume @p611 (forall @t52 (or @t95 (tptp.c_lessequals @t49 @t144 @t3)))) % 1.04/1.31 (assume @p612 (forall @t665 (or @t95 (tptp.c_lessequals @t49 @t145 @t3)))) % 1.04/1.31 (assume @p613 (forall @t235 (or @t354 (not (tptp.c_HOL_Oord__class_Oless @t49 @t555 @t3))))) % 1.04/1.31 (assume @p614 (forall @t578 (or (tptp.c_Lambda_Obeta @t576 @t719) @t662))) % 1.04/1.31 (assume @p615 (forall @t76 (or @t75 (= (tptp.c_Orderings_Oord__class_Omax @t72 @t109 @t3) @t109)))) % 1.04/1.31 (assume @p616 (forall (@list @t19 @t72 @t3) (= (tptp.c_List_Oappend @t720 @t721 @t3) (tptp.c_List_Olist_OCons @t72 @t720 @t3)))) % 1.04/1.31 (assume @p617 (forall @t179 (or @t354 @t547 @t92 @t723))) % 1.04/1.31 (assume @p618 (forall @t415 (or @t354 @t549 @t92 @t723))) % 1.04/1.31 (assume @p619 (forall @t179 (or @t354 @t547 @t238 @t723))) % 1.04/1.31 (assume @p620 (forall @t415 (or @t354 @t549 @t238 @t723))) % 1.04/1.31 (assume @p621 (forall @t46 (= (tptp.c_HOL_Ominus__class_Ominus @t42 @t21 tptp.tc_nat) @t26))) % 1.04/1.31 (assume @p622 (forall @t330 (= (tptp.c_HOL_Ominus__class_Ominus @t358 @t21 tptp.tc_nat) @t26))) % 1.04/1.31 (assume @p623 (forall @t179 (or @t178 (= (tptp.c_HOL_Ominus__class_Ominus @t240 @t5 @t3) @t6)))) % 1.04/1.31 (assume @p624 (forall (@list @t487 @t6 @t114 @t112 @t486 @t3) (= (tptp.c_List_Ofoldl @t487 @t6 @t724 @t3 @t486) (tptp.c_List_Ofoldl @t487 (tptp.c_List_Ofoldl @t487 @t6 @t114 @t3 @t486) @t112 @t3 @t486)))) % 1.04/1.31 (assume @p625 (forall @t302 (= (tptp.c_Type_Otype_Otype__case @t299 @t298 @t321 @t3) @t572))) % 1.04/1.31 (assume @p626 (forall @t63 (or @t592 @t591 @t55 @t214))) % 1.04/1.31 (assume @p627 (forall @t63 (or @t592 @t591 @t215 @t54))) % 1.04/1.31 (assume @p628 (forall (@list @t545 @t544 @t69) (not (= @t546 @t402)))) % 1.04/1.31 (assume @p629 (forall (@list @t72 @t21) (or (tptp.c_HOL_Oord__class_Oless @t221 @t47 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t72 @t21 tptp.tc_nat))))) % 1.04/1.31 (assume @p630 (forall @t46 (or @t324 (not @t725)))) % 1.04/1.31 (assume @p631 (forall @t46 (or @t725 @t325))) % 1.04/1.31 (assume @p632 (forall @t46 (or @t435 @t421))) % 1.04/1.32 (assume @p633 (forall @t46 (or @t435 @t419))) % 1.04/1.32 (assume @p634 (forall @t175 (or @t174 @t128 (not @t726)))) % 1.04/1.32 (assume @p635 (forall @t175 (or @t174 @t726 @t129))) % 1.04/1.32 (assume @p636 (forall (@list @t248 @t4 @t151) (or (= @t248 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t729) @t728)) @t727))) % 1.04/1.32 (assume @p637 (forall @t96 (or @t734 @t733 @t732 @t50 @t731 @t730))) % 1.04/1.32 (assume @p638 (forall @t96 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t3)) @t731 @t730))) % 1.04/1.32 (assume @p639 (forall @t297 (or @t194 (= (tptp.c_HOL_Otimes__class_Otimes @t49 @t72 @t3) @t49)))) % 1.04/1.32 (assume @p640 (forall @t175 (or @t732 @t735))) % 1.04/1.32 (assume @p641 (forall @t175 (or @t732 @t736))) % 1.04/1.32 (assume @p642 (forall (@list @t3 @t5) (or @t737 (= (tptp.c_HOL_Otimes__class_Otimes @t49 @t5 @t3) @t49)))) % 1.04/1.32 (assume @p643 (forall @t175 (or @t737 @t736))) % 1.04/1.32 (assume @p644 (forall @t175 (or @t194 @t736))) % 1.04/1.32 (assume @p645 (forall @t175 (or @t194 @t735))) % 1.04/1.32 (assume @p646 (forall @t179 (or @t733 @t739 @t730 @t738))) % 1.04/1.32 (assume @p647 (forall @t179 (or @t733 @t739 @t738 @t730))) % 1.04/1.32 (assume @p648 (forall @t179 (or @t737 @t739 @t738 @t730))) % 1.04/1.32 (assume @p649 (forall @t175 (or @t174 (not (= @t172 @t49)) @t730))) % 1.04/1.32 (assume @p650 (forall @t297 (or @t166 @t165 @t740))) % 1.04/1.32 (assume @p651 (forall @t175 (or @t178 (= (tptp.c_HOL_Ominus__class_Ominus @t6 @t6 @t3) @t49)))) % 1.04/1.32 (assume @p652 (forall @t175 (or @t178 (= (tptp.c_HOL_Ominus__class_Ominus @t6 @t49 @t3) @t6)))) % 1.04/1.32 (assume @p653 (forall @t297 (or @t178 @t740))) % 1.04/1.32 (assume @p654 (forall @t297 (or @t262 @t740))) % 1.04/1.32 (assume @p655 (forall (@list @t3 @t72 @t6) (or @t166 @t165 (not (= @t72 (tptp.hAPP @t256 @t6))) @t730))) % 1.04/1.32 (assume @p656 (forall @t235 (or @t174 @t232))) % 1.04/1.32 (assume @p657 (forall @t76 (or @t166 @t165 (not (= @t741 @t49)) @t395))) % 1.04/1.32 (assume @p658 (forall @t179 (or @t178 @t742 @t541))) % 1.04/1.32 (assume @p659 (forall @t179 (or @t262 @t742 @t541))) % 1.04/1.32 (assume @p660 (forall @t297 (or @t194 (= (tptp.hAPP @t231 @t72) @t72)))) % 1.04/1.32 (assume @p661 (forall @t175 (or @t134 @t743))) % 1.04/1.32 (assume @p662 (forall @t297 (or @t166 @t165 (= @t72 (tptp.hAPP @t256 @t49))))) % 1.04/1.32 (assume @p663 (forall @t175 (or @t134 @t744))) % 1.04/1.32 (assume @p664 (forall @t175 (or @t227 @t743))) % 1.04/1.32 (assume @p665 (forall @t175 (or @t227 @t744))) % 1.04/1.32 (assume @p666 (forall @t175 (or @t194 @t744))) % 1.04/1.32 (assume @p667 (forall @t175 (or @t194 @t743))) % 1.04/1.32 (assume @p668 (tptp.c_lessequals @t64 @t64 tptp.tc_nat)) % 1.04/1.32 (assume @p669 (forall @t46 (= @t745 (tptp.c_HOL_Otimes__class_Otimes @t21 @t64 tptp.tc_nat)))) % 1.04/1.32 (assume @p670 (forall @t46 (= (tptp.c_HOL_Otimes__class_Otimes @t64 @t26 tptp.tc_nat) @t746))) % 1.04/1.32 (assume @p671 (not (tptp.c_HOL_Oord__class_Oless @t64 @t64 tptp.tc_nat))) % 1.04/1.32 (assume @p672 (forall @t171 (or @t420 @t170))) % 1.04/1.32 (assume @p673 (forall @t297 (or @t247 @t459))) % 1.04/1.32 (assume @p674 (forall @t297 (or @t243 @t459))) % 1.04/1.32 (assume @p675 (forall @t244 (or @t243 @t105 @t108 @t85))) % 1.04/1.32 (assume @p676 (forall @t244 (or @t243 @t105 @t278 @t242))) % 1.04/1.32 (assume @p677 (forall (@list @t3 @t6 @t5 @t1 @t2) (or @t104 (tptp.c_lessequals @t6 @t217 @t3) @t215 (not (tptp.c_lessequals @t6 @t426 @t3))))) % 1.04/1.32 (assume @p678 (forall (@list @t117 @t22) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t117) @t22 @t117) @t22))) % 1.04/1.32 (assume @p679 (forall @t749 (or @t748 (= @t6 @t599)))) % 1.04/1.32 (assume @p680 (forall @t749 (or @t748 (= @t747 @t598)))) % 1.04/1.32 (assume @p681 (forall @t751 (or @t750 @t594))) % 1.04/1.32 (assume @p682 (forall @t751 (or @t750 @t124))) % 1.04/1.32 (assume @p683 (forall (@list @t400 @t587 @t586) (not (= @t401 @t588)))) % 1.04/1.32 (assume @p684 (forall (@list @t26 @t19 @t21) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t26 @t19 tptp.tc_nat) @t670 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t704 @t19 tptp.tc_nat)))) % 1.04/1.32 (assume @p685 (forall (@list @t65 @t6 @t5) (or @t66 @t602 (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_HOL_Ominus__class_Ominus @t6 @t5 tptp.tc_nat))))))) % 1.04/1.32 (assume @p686 (= @t466 @t142)) % 1.04/1.32 (assume @p687 (forall @t297 (or @t685 (= @t352 @t72)))) % 1.04/1.32 (assume @p688 (forall @t322 (or (not (= @t402 (tptp.c_Lambda_OdB_OVar @t319))) @t320))) % 1.04/1.32 (assume @p689 (forall (@list @t65 @t19 @t21) (or (not (tptp.hBOOL (tptp.hAPP @t65 @t19))) (not (tptp.c_HOL_Oord__class_Oless @t19 @t383 tptp.tc_nat)) @t382 @t66))) % 1.04/1.32 (assume @p690 (forall @t63 (or @t62 @t61 @t58 @t93 @t55 @t54))) % 1.04/1.32 (assume @p691 (forall @t330 (or @t553 @t552 @t98))) % 1.04/1.32 (assume @p692 (forall (@list @t587 @t586 @t400) (not (= @t588 @t401)))) % 1.04/1.32 (assume @p693 (forall (@list @t400 @t69) (not (= @t401 @t402)))) % 1.04/1.32 (assume @p694 (forall @t275 (or (tptp.c_lessequals @t709 @t708 tptp.tc_nat) @t20))) % 1.04/1.32 (assume @p695 (forall @t707 (or (tptp.c_lessequals @t706 @t705 tptp.tc_nat) @t20))) % 1.04/1.32 (assume @p696 (forall @t189 (or @t188 @t98))) % 1.04/1.32 (assume @p697 (forall @t185 (or @t184 @t98))) % 1.04/1.32 (assume @p698 (forall (@list @t21 @t72 @t3 @t114) (= (tptp.c_List_Oappend @t444 @t442 @t3) (tptp.c_List_Olist_OCons @t72 (tptp.c_List_Oappend @t444 @t114 @t3) @t3)))) % 1.04/1.32 (assume @p699 (forall @t46 (or @t324 (not @t752)))) % 1.04/1.32 (assume @p700 (forall @t330 (or @t752 @t325))) % 1.04/1.32 (assume @p701 (forall @t46 (or @t324 (not @t610)))) % 1.04/1.32 (assume @p702 (forall @t46 (or @t219 @t325))) % 1.04/1.32 (assume @p703 (forall @t235 (or @t354 (= @t555 @t49)))) % 1.04/1.32 (assume @p704 (forall @t494 (or @t354 @t490 @t53 @t371))) % 1.04/1.32 (assume @p705 (forall @t136 (or @t354 @t669 @t495 @t371))) % 1.04/1.32 (assume @p706 (forall @t494 (or @t354 @t490 @t53 @t376))) % 1.04/1.32 (assume @p707 (forall @t136 (or @t354 @t669 @t495 @t376))) % 1.04/1.32 (assume @p708 (forall (@list @t151 @t22 @t148 @t117) (= (tptp.c_Lambda_Osubst @t250 @t148 @t117) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t151 @t148 @t117)) (tptp.c_Lambda_Osubst @t22 @t148 @t117))))) % 1.04/1.32 (assume @p709 (forall @t189 (or (not (= @t608 @t607)) @t124))) % 1.04/1.32 (assume @p710 (forall @t171 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t21 @t142 tptp.tc_nat)) @t21) @t421))) % 1.04/1.32 (assume @p711 (forall @t147 (or @t534 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t42 @t3) (tptp.hAPP (tptp.hAPP @t8 @t145) @t144))))) % 1.04/1.32 (assume @p712 (forall @t46 (or (tptp.c_HOL_Oord__class_Oless @t99 @t26 tptp.tc_nat) @t419 @t421))) % 1.04/1.32 (assume @p713 (forall @t91 (or @t75 (tptp.c_lessequals @t754 @t753 @t3)))) % 1.04/1.32 (assume @p714 (forall @t757 (or @t104 @t756 @t755 @t255))) % 1.04/1.32 (assume @p715 (forall @t757 (or @t104 @t756 @t254 (not @t755)))) % 1.04/1.32 (assume @p716 (forall @t757 (or @t104 @t756 @t758 @t242))) % 1.04/1.32 (assume @p717 (forall @t757 (or @t104 @t756 @t241 (not @t758)))) % 1.04/1.32 (assume @p718 (forall @t425 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t3)) (= (tptp.c_Power_Opower__class_Opower @t237 @t21 @t3) (tptp.c_HOL_Otimes__class_Otimes @t94 @t423 @t3))))) % 1.04/1.32 (assume @p719 (forall (@list @t3 @t72 @t73 @t190) (or @t194 (= (tptp.c_Power_Opower__class_Opower @t167 @t190 @t3) (tptp.c_HOL_Otimes__class_Otimes @t201 (tptp.c_Power_Opower__class_Opower @t73 @t190 @t3) @t3))))) % 1.04/1.32 (assume @p720 (forall @t527 (or @t227 (= (tptp.c_List_Olistsum @t115 @t3) (tptp.hAPP (tptp.hAPP @t8 @t226) (tptp.c_List_Olistsum @t112 @t3)))))) % 1.04/1.32 (assume @p721 (forall @t330 (or @t681 @t324))) % 1.04/1.32 (assume @p722 (forall @t671 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t21 @t674 tptp.tc_nat) @t21 tptp.tc_nat) @t421))) % 1.04/1.32 (assume @p723 (forall @t760 (or @t759 (= @t114 @t112)))) % 1.04/1.32 (assume @p724 (forall @t760 (or @t759 @t395))) % 1.04/1.32 (assume @p725 (forall @t46 (or @t658 @t363 @t361))) % 1.04/1.32 (assume @p726 (forall @t46 (or @t658 @t414 @t170))) % 1.04/1.32 (assume @p727 (forall @t283 (or @t75 (= (tptp.c_Orderings_Oord__class_Omax @t89 @t72 @t3) (tptp.c_Orderings_Oord__class_Omin @t666 (tptp.c_Orderings_Oord__class_Omax @t86 @t72 @t3) @t3))))) % 1.04/1.32 (assume @p728 (forall @t91 (or @t75 (= @t754 @t753)))) % 1.04/1.32 (assume @p729 (forall @t437 (or @t199 (= (tptp.c_Power_Opower__class_Opower @t6 @t230 @t3) (tptp.c_Power_Opower__class_Opower @t436 @t21 @t3))))) % 1.04/1.32 (assume @p730 (forall @t415 (or @t247 @t669 @t541 @t317))) % 1.04/1.32 (assume @p731 (forall @t415 (or @t247 @t669 @t317 @t541))) % 1.04/1.32 (assume @p732 (forall @t46 (or @t324 @t124 @t98))) % 1.04/1.32 (assume @p733 (forall @t46 (or @t124 @t324 @t98))) % 1.04/1.32 (assume @p734 (forall @t76 (or @t247 @t395 @t241 @t85))) % 1.04/1.32 (assume @p735 (forall @t76 (or @t247 @t241 @t395 @t85))) % 1.04/1.32 (assume @p736 (forall @t179 (or @t247 @t53 @t541 @t214))) % 1.04/1.32 (assume @p737 (forall @t179 (or @t247 @t53 @t214 @t541))) % 1.04/1.32 (assume @p738 (forall @t76 (or @t75 @t395 @t85 @t241))) % 1.04/1.32 (assume @p739 (forall @t76 (or @t75 @t395 @t241 @t85))) % 1.04/1.32 (assume @p740 (forall @t179 (or @t604 @t722 @t239 @t93))) % 1.04/1.32 (assume @p741 (forall @t179 (or @t354 @t722 @t550 @t548))) % 1.04/1.32 (assume @p742 (forall @t179 (or @t354 @t722 @t239 @t93))) % 1.04/1.32 (assume @p743 (forall @t175 (or @t354 (tptp.c_lessequals @t49 @t605 @t3)))) % 1.04/1.32 (assume @p744 (forall @t179 (or @t344 @t722 @t550 @t548))) % 1.04/1.32 (assume @p745 (forall @t179 (or @t344 @t722 @t239 @t93))) % 1.04/1.32 (assume @p746 (forall @t235 (= @t717 @t292))) % 1.04/1.32 (assume @p747 (forall @t330 (or @t349 (not @t761)))) % 1.04/1.32 (assume @p748 (forall @t330 (or @t761 @t350))) % 1.04/1.32 (assume @p749 (forall @t372 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t3)) (= (tptp.c_HOL_Otimes__class_Otimes @t237 @t2 @t3) (tptp.c_HOL_Otimes__class_Otimes @t6 @t369 @t3))))) % 1.04/1.32 (assume @p750 (forall @t763 (or @t194 (= @t762 (tptp.c_HOL_Otimes__class_Otimes @t565 @t562 @t3))))) % 1.04/1.32 (assume @p751 (forall @t763 (or @t194 (= @t762 (tptp.c_HOL_Otimes__class_Otimes @t564 (tptp.c_HOL_Otimes__class_Otimes @t562 @t563 @t3) @t3))))) % 1.04/1.32 (assume @p752 (forall @t765 (or @t194 (= @t764 (tptp.c_HOL_Otimes__class_Otimes @t565 @t561 @t3))))) % 1.04/1.32 (assume @p753 (forall @t765 (or @t194 (= @t764 (tptp.c_HOL_Otimes__class_Otimes @t563 (tptp.c_HOL_Otimes__class_Otimes @t564 @t561 @t3) @t3))))) % 1.04/1.32 (assume @p754 (forall @t116 (= (tptp.c_List_Oappend @t115 @t111 @t3) (tptp.c_List_Oappend @t114 (tptp.c_List_Oappend @t112 @t111 @t3) @t3)))) % 1.04/1.32 (assume @p755 (forall @t141 (= (tptp.c_HOL_Otimes__class_Otimes @t230 @t117 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t26 @t182 tptp.tc_nat)))) % 1.04/1.32 (assume @p756 (forall (@list @t114 @t614 @t766 @t3) (= (tptp.c_List_Oappend @t114 (tptp.c_List_Oappend @t614 @t766 @t3) @t3) (tptp.c_List_Oappend (tptp.c_List_Oappend @t114 @t614 @t3) @t766 @t3)))) % 1.04/1.32 (assume @p757 (forall (@list @t111 @t72 @t3 @t112) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t111 @t72 @t3) @t112 @t3) (tptp.c_List_Oappend @t111 (tptp.c_List_Oappend @t72 @t112 @t3) @t3)))) % 1.04/1.32 (assume @p758 (forall (@list @t114 @t72 @t452 @t3) (= (tptp.c_List_Oappend @t114 (tptp.c_List_Oappend @t72 @t452 @t3) @t3) (tptp.c_List_Oappend (tptp.c_List_Oappend @t114 @t72 @t3) @t452 @t3)))) % 1.04/1.32 (assume @p759 (forall @t91 (or @t194 (= (tptp.c_HOL_Otimes__class_Otimes @t72 (tptp.c_HOL_Otimes__class_Otimes @t73 @t86 @t3) @t3) (tptp.c_HOL_Otimes__class_Otimes @t167 @t86 @t3))))) % 1.04/1.32 (assume @p760 (forall @t372 (or @t194 @t767))) % 1.04/1.32 (assume @p761 (forall @t372 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t3)) @t767))) % 1.04/1.32 (assume @p762 (forall @t141 (= (tptp.c_HOL_Otimes__class_Otimes @t42 @t117 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t24 @t183) @t182)))) % 1.04/1.32 (assume @p763 (forall @t189 (= (tptp.c_HOL_Otimes__class_Otimes @t117 @t42 tptp.tc_nat) (tptp.hAPP (tptp.hAPP @t24 @t187) @t186)))) % 1.04/1.32 (assume @p764 (forall @t91 (or @t194 (= (tptp.c_HOL_Otimes__class_Otimes @t72 @t259 @t3) @t169)))) % 1.04/1.32 (assume @p765 (forall @t179 (or @t247 @t54 @t710))) % 1.04/1.32 (assume @p766 (forall @t76 (or @t75 @t242 @t246))) % 1.04/1.32 (assume @p767 (forall @t330 (or @t349 @t97))) % 1.04/1.32 (assume @p768 (forall @t291 (or @t75 @t254 @t84))) % 1.04/1.32 (assume @p769 (forall @t291 (or @t243 @t246 @t242))) % 1.04/1.32 (assume @p770 (forall @t415 (or @t243 @t710 @t54))) % 1.04/1.32 (assume @p771 (forall @t768 (= (tptp.c_Nat_Onat_Onat__rec @t299 @t298 @t64 @t3) @t299))) % 1.04/1.32 (assume @p772 (forall @t368 (or (tptp.hBOOL (tptp.hAPP @t65 @t383)) @t382 @t66))) % 1.04/1.32 (assume @p773 (forall @t668 (not (= @t44 @t64)))) % 1.04/1.32 (assume @p774 (forall @t769 (not (= @t397 @t64)))) % 1.04/1.32 (assume @p775 (forall @t330 (or (not (= @t580 @t64)) @t101 @t124))) % 1.04/1.32 (assume @p776 (forall @t171 (or @t170 (not (tptp.c_lessequals @t21 @t64 tptp.tc_nat))))) % 1.04/1.32 (assume @p777 (forall @t368 (or @t269 (tptp.hBOOL (tptp.hAPP @t65 @t367)) @t67))) % 1.04/1.32 (assume @p778 (forall @t668 (= @t745 @t64))) % 1.04/1.32 (assume @p779 (forall @t171 (= @t746 @t64))) % 1.04/1.32 (assume @p780 (forall @t46 (or (not (= @t230 @t64)) @t170 @t414))) % 1.04/1.32 (assume @p781 (forall @t46 (or @t770 @t170))) % 1.04/1.32 (assume @p782 (forall @t46 (or @t770 @t414))) % 1.04/1.32 (assume @p783 (forall (@list @t72 @t487 @t3) (= (tptp.c_Nat_Onat_Onat__case @t72 @t487 @t64 @t3) @t72))) % 1.04/1.32 (assume @p784 (forall @t768 (= (tptp.c_Nat_Onat_Onat__case @t299 @t298 @t64 @t3) @t299))) % 1.04/1.32 (assume @p785 (forall @t171 (= (tptp.c_Orderings_Oord__class_Omin @t21 @t64 tptp.tc_nat) @t64))) % 1.04/1.32 (assume @p786 (forall @t171 (= (tptp.c_Orderings_Oord__class_Omin @t64 @t21 tptp.tc_nat) @t64))) % 1.04/1.32 (assume @p787 (forall @t185 (or (not (= @t183 @t182)) @t771 @t124))) % 1.04/1.32 (assume @p788 (forall @t189 (or @t481 @t771 @t124))) % 1.04/1.32 (assume @p789 (forall @t189 (or @t481 @t124 @t771))) % 1.04/1.32 (assume @p790 (forall @t668 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t64 tptp.tc_nat) @t26))) % 1.04/1.32 (assume @p791 (forall @t668 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t26 tptp.tc_nat) @t64))) % 1.04/1.32 (assume @p792 (forall (@list @t72 @t6) (or (not (= @t72 (tptp.hAPP @t263 @t6))) (= @t6 @t64)))) % 1.04/1.32 (assume @p793 (forall @t46 (or (not (= @t42 @t26)) @t170))) % 1.04/1.32 (assume @p794 (forall @t71 (or @t70 (tptp.hBOOL (tptp.hAPP @t65 @t323)) @t67))) % 1.04/1.32 (assume @p795 (forall @t668 (not (= @t64 @t44)))) % 1.04/1.32 (assume @p796 (forall @t769 (not (= @t64 @t397)))) % 1.04/1.32 (assume @p797 (forall (@list @t65 @t299 @t298) (or (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Nat_Onat_Onat__case @t299 @t298 @t64 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t65 @t299))))) % 1.04/1.32 (assume @p798 (forall @t71 (or @t70 (tptp.hBOOL (tptp.hAPP @t65 @t196)) @t67))) % 1.04/1.32 (assume @p799 (forall @t224 (= (tptp.c_Nitpick_Onat__gcd @t72 @t64) @t72))) % 1.04/1.32 (assume @p800 (= (tptp.c_nat_Onat__size @t64) @t64)) % 1.04/1.32 (assume @p801 (forall @t772 (= (tptp.c_String_Ochar_Ochar__size @t2) @t64))) % 1.04/1.32 (assume @p802 (= (tptp.hAPP @t465 @t64) @t64)) % 1.04/1.32 (assume @p803 (forall @t71 (or @t70 (tptp.hBOOL (tptp.hAPP @t65 @t68)) @t67))) % 1.04/1.32 (assume @p804 (forall @t668 (not (tptp.c_HOL_Oord__class_Oless @t26 @t64 tptp.tc_nat)))) % 1.04/1.32 (assume @p805 (forall @t171 (not (tptp.c_HOL_Oord__class_Oless @t21 @t64 tptp.tc_nat)))) % 1.04/1.32 (assume @p806 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_nat) @t64)) % 1.04/1.32 (assume @p807 (forall @t71 (or @t70 (tptp.hBOOL (tptp.hAPP @t65 @t318)) @t67))) % 1.04/1.32 (assume @p808 (forall @t294 (= (tptp.c_List_Odrop @t64 @t114 @t3) @t114))) % 1.04/1.32 (assume @p809 (forall @t171 (= (tptp.c_HOL_Ominus__class_Ominus @t64 @t21 tptp.tc_nat) @t64))) % 1.04/1.32 (assume @p810 (forall @t368 (or @t269 (not (tptp.hBOOL (tptp.hAPP @t65 @t267))) @t67))) % 1.04/1.32 (assume @p811 (forall @t171 (tptp.c_lessequals @t64 @t21 tptp.tc_nat))) % 1.04/1.32 (assume @p812 (forall @t772 (= (tptp.c_Nat_Osize__class_Osize @t2 tptp.tc_String_Ochar) @t64))) % 1.04/1.32 (assume @p813 (forall (@list @t72 @t3 @t73) (= @t573 (tptp.c_List_Oreplicate @t64 @t73 @t3)))) % 1.04/1.32 (assume @p814 (forall @t171 (= (tptp.c_Orderings_Oord__class_Omax @t21 @t64 tptp.tc_nat) @t21))) % 1.04/1.32 (assume @p815 (forall @t171 (= (tptp.c_Orderings_Oord__class_Omax @t64 @t21 tptp.tc_nat) @t21))) % 1.04/1.32 (assume @p816 (forall @t127 (or @t126 @t395 @t414))) % 1.04/1.32 (assume @p817 (forall @t224 (= @t72 (tptp.hAPP @t263 @t64)))) % 1.04/1.32 (assume @p818 (forall @t171 (= (tptp.hAPP @t465 @t21) @t21))) % 1.04/1.32 (assume @p819 (forall @t668 (= (tptp.hAPP @t41 @t64) @t26))) % 1.04/1.32 (assume @p820 (forall (@list @t305 @t72 @t303 @t307 @t306 @t304 @t3) (or (= (tptp.hAPP @t309 @t64) @t303) @t308))) % 1.04/1.32 (assume @p821 (forall @t228 (or @t227 (= @t226 @t773)))) % 1.04/1.32 (assume @p822 (forall @t228 (or @t227 (= @t225 @t773)))) % 1.04/1.32 (assume @p823 (forall (@list @t3 @t6 @t114) (or @t227 (= @t398 (tptp.hAPP @t131 @t773))))) % 1.04/1.32 (assume @p824 (tptp.c_Type_Otypings @t774 tptp.v_as____ tptp.v_Ts____)) % 1.04/1.32 (assume @p825 (forall (@list @t4 @t776 @t248 @t151) (or (tptp.c_Type_Otyping @t4 @t776 @t248) (not (tptp.c_Lambda_Obeta @t151 @t776)) @t775))) % 1.04/1.32 (assume @p826 (forall (@list @t4 @t19 @t248) (or (= (tptp.hAPP @t4 @t19) @t248) (not (tptp.c_Type_Otyping @t4 @t176 @t248))))) % 1.04/1.32 (assume @p827 (forall (@list @t777 @t72) (tptp.c_Type_Otyping @t777 @t460 (tptp.hAPP @t777 @t72)))) % 1.04/1.32 (assume @p828 (forall (@list @t4 @t151 @t248) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t4 @t64 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t4 @t151) tptp.tc_Type_Otype) @t151 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t4 @t151)) @t727))) % 1.04/1.32 (assume @p829 (forall (@list @t4 @t248 @t151) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t4 @t64 @t729 tptp.tc_Type_Otype) @t151 @t728) @t727))) % 1.04/1.32 (assume @p830 (forall (@list @t4 @t151 @t248 @t22) (or (tptp.c_Type_Otyping @t4 @t151 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t252) @t248)) @t251))) % 1.04/1.32 (assume @p831 (forall (@list @t779 @t778 @t69) (not (= @t780 @t321)))) % 1.04/1.32 (assume @p832 (forall (@list @t65 @t782 @t781 @t248) (or (not (= @t462 @t783)) @t463 (tptp.hBOOL (tptp.hAPP @t65 @t781))))) % 1.04/1.32 (assume @p833 (forall (@list @t65 @t784 @t72 @t248) (or (not (= @t462 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t784) @t72))) @t463 (tptp.hBOOL (tptp.hAPP @t65 @t784))))) % 1.04/1.32 (assume @p834 (forall @t789 (= (tptp.c_Type_Otype_Otype__rec @t299 @t298 @t788 @t3) (tptp.hAPP (tptp.hAPP @t787 (tptp.c_Type_Otype_Otype__rec @t299 @t298 @t786 @t3)) (tptp.c_Type_Otype_Otype__rec @t299 @t298 @t785 @t3))))) % 1.04/1.32 (assume @p835 (forall @t789 (= (tptp.c_Type_Otype_Otype__case @t299 @t298 @t788 @t3) @t787))) % 1.04/1.32 (assume @p836 (forall (@list @t65 @t299 @t298 @t476 @t790) (or (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Type_Otype_Otype__case @t299 @t298 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t476) @t790) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t65 (tptp.hAPP @t513 @t790)))))) % 1.04/1.32 (assume @p837 (forall (@list @t65 @t299 @t298 @t786 @t785) (or (not (tptp.hBOOL (tptp.hAPP @t65 (tptp.c_Type_Otype_Otype__case @t299 @t298 @t788 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t65 @t787))))) % 1.04/1.32 (assume @p838 (forall (@list @t69 @t779 @t778) (not (= @t321 @t780)))) % 1.04/1.32 (assume @p839 (forall (@list @t487 @t72 @t114 @t486 @t6 @t3) (= (tptp.c_List_Ofoldr @t487 @t488 @t6 @t486 @t3) (tptp.hAPP (tptp.hAPP @t487 @t72) (tptp.c_List_Ofoldr @t487 @t114 @t6 @t486 @t3))))) % 1.04/1.32 (assume @p840 (forall (@list @t487 @t114 @t112 @t486 @t6 @t3) (= (tptp.c_List_Ofoldr @t487 @t724 @t6 @t486 @t3) (tptp.c_List_Ofoldr @t487 @t114 (tptp.c_List_Ofoldr @t487 @t112 @t6 @t486 @t3) @t486 @t3)))) % 1.04/1.32 (assume @p841 (forall (@list @t487 @t486 @t6 @t3) (= (tptp.c_List_Ofoldr @t487 @t524 @t6 @t486 @t3) @t6))) % 1.04/1.32 (assume @p842 (forall @t712 (or (tptp.c_InductTermi_OIT @t791) @t711))) % 1.04/1.32 (assume @p843 (forall (@list @t148 @t151 @t117) (= (tptp.c_Lambda_Olift @t793 @t117) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t148 @t117)) @t792)))) % 1.04/1.32 (assume @p844 (forall (@list @t151 @t117 @t148) (= (tptp.c_Lambda_Osubst @t792 @t148 @t117) @t151))) % 1.04/1.32 (assume @p845 (forall (@list @t149 @t19 @t148) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t149 @t19) (tptp.c_Lambda_Olift @t148 @t19)) @t150))) % 1.04/1.32 (assume @p846 (forall @t799 (or @t798 @t797 (not (tptp.c_Type_Otyping @t4 @t22 @t781)) @t795 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t4 @t19 @t781 tptp.tc_Type_Otype) @t151 @t794)) @t711))) % 1.04/1.32 (assume @p847 (forall @t799 (or @t798 @t797 (not (tptp.c_Type_Otyping @t4 @t22 @t782)) @t795 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t4 @t19 @t782 tptp.tc_Type_Otype) @t151 @t794)) @t711))) % 1.04/1.32 (assume @p848 (forall (@list @t4 @t19 @t248 @t3 @t18) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t4 @t19 @t248 @t3) @t18) (tptp.hAPP @t4 @t18)) @t692))) % 1.04/1.32 (assume @p849 (forall @t800 (or (tptp.c_Type_Otyping @t4 @t151 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t455 @t248 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t454))) % 1.04/1.32 (assume @p850 (forall (@list @t4 @t151 @t452 @t248 @t801) (or @t453 (not (tptp.c_Type_Otypings @t4 @t452 @t801)) (not (tptp.c_Type_Otyping @t4 @t151 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t801 @t248 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 1.04/1.32 (assume @p851 (forall @t800 (or (tptp.c_Type_Otyping @t4 @t151 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t690 @t248 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t454))) % 1.04/1.32 (assume @p852 (tptp.c_Type_Otyping @t774 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t803) tptp.v_a____) @t802)) % 1.04/1.32 (assume @p853 (tptp.c_InductTermi_OIT tptp.v_u____)) % 1.04/1.32 (assume @p854 (tptp.c_Type_Otyping @t774 tptp.v_a____ tptp.v_T_H_H____)) % 1.04/1.32 (assume @p855 (forall @t52 (or @t734 @t733 @t732 @t50 @t804 @t170))) % 1.04/1.32 (assume @p856 (forall @t52 (or @t51 @t50 @t804 @t170))) % 1.04/1.32 (assume @p857 (forall @t175 (or @t734 @t733 @t732 @t50 (not (= (tptp.c_Power_Opower__class_Opower @t6 @t64 @t3) @t49))))) % 1.04/1.32 (assume @p858 (forall @t235 (or @t534 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t64 @t3) @t49)))) % 1.04/1.32 (assume @p859 (forall (@list @t4 @t19 @t583 @t3 @t248) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t4 @t19 @t583 @t3) @t64 @t248 @t3) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t4 @t64 @t248 @t3) @t674 @t583 @t3)))) % 1.04/1.32 (assume @p860 (forall (@list @t777 @t148 @t151 @t583 @t248) (or (tptp.c_Type_Otyping @t777 @t793 @t583) (not (tptp.c_Type_Otyping @t777 @t151 @t248)) (not (tptp.c_Type_Otyping @t777 @t148 @t805))))) % 1.04/1.32 (assume @p861 (forall (@list @t806 @t22 @t583 @t19 @t151 @t248) (or (not (tptp.c_Type_Otyping @t806 @t22 @t583)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t806 @t19 @t583 tptp.tc_Type_Otype) @t151 @t248)) (tptp.c_Type_Otyping @t806 @t796 @t248)))) % 1.04/1.32 (assume @p862 (tptp.c_Type_Otyping @t774 @t803 @t807)) % 1.04/1.32 (assume @p863 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 1.04/1.32 (assume @p864 (forall (@list @t777 @t151 @t248 @t583) (or (tptp.c_Type_Otyping @t777 @t719 @t805) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t777 @t64 @t248 tptp.tc_Type_Otype) @t151 @t583))))) % 1.04/1.32 (assume @p865 (= tptp.v_T____ @t807)) % 1.04/1.32 (assume @p866 @t808) % 1.04/1.32 (assume @p867 (forall @t810 (or @t809 (= @t786 @t779)))) % 1.04/1.32 (assume @p868 (forall @t810 (or @t809 (= @t785 @t778)))) % 1.04/1.32 (assume @p869 @t811) % 1.04/1.32 (assume @p870 (forall (@list @t4 @t72 @t248 @t3) (= (tptp.hAPP (tptp.c_Type_Oshift @t4 @t72 @t248 @t3) @t72) @t248))) % 1.04/1.32 (assume @p871 (not @t812)) % 1.04/1.32 (assume @p872 (forall @t816 (or (tptp.class_Orderings_Opreorder @t815) (not (tptp.class_Orderings_Opreorder @t813))))) % 1.04/1.32 (assume @p873 (forall @t816 (or (tptp.class_Orderings_Oorder @t815) (not (tptp.class_Orderings_Oorder @t813))))) % 1.04/1.32 (assume @p874 (forall @t816 (or (tptp.class_Orderings_Obot @t815) (not (tptp.class_Orderings_Obot @t813))))) % 1.04/1.32 (assume @p875 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 1.04/1.32 (assume @p876 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 1.04/1.32 (assume @p877 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 1.04/1.32 (assume @p878 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 1.04/1.32 (assume @p879 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 1.04/1.32 (assume @p880 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 1.04/1.32 (assume @p881 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 1.04/1.32 (assume @p882 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 1.04/1.32 (assume @p883 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 1.04/1.32 (assume @p884 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 1.04/1.32 (assume @p885 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 1.04/1.32 (assume @p886 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 1.04/1.32 (assume @p887 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 1.04/1.32 (assume @p888 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 1.04/1.32 (assume @p889 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 1.04/1.32 (assume @p890 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 1.04/1.32 (assume @p891 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 1.04/1.32 (assume @p892 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 1.04/1.32 (assume @p893 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.04/1.32 (assume @p894 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 1.04/1.32 (assume @p895 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 1.04/1.32 (assume @p896 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 1.04/1.32 (assume @p897 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 1.04/1.32 (assume @p898 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 1.04/1.32 (assume @p899 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 1.04/1.32 (assume @p900 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 1.04/1.32 (assume @p901 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 1.04/1.32 (assume @p902 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 1.04/1.32 (assume @p903 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 1.04/1.32 (assume @p904 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 1.04/1.32 (assume @p905 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.04/1.32 (assume @p906 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.04/1.32 (assume @p907 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.04/1.32 (assume @p908 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.04/1.32 (assume @p909 (tptp.class_Power_Opower tptp.tc_nat)) % 1.04/1.32 (assume @p910 (forall @t295 (tptp.c_fequal @t72 @t72 @t3))) % 1.04/1.32 (assume @p911 (forall (@list @t818 @t817 @t3) (or (= @t818 @t817) (not (tptp.c_fequal @t818 @t817 @t3))))) % 1.04/1.32 (step @p912 :rule cnf_or_pos :args (@t820)) % 1.04/1.32 (step @p913 :rule reordering :premises (@p912) :args ((or @t812 @t819 @t821))) % 1.04/1.32 (step @p914 :rule chain_m_resolution :premises (@p913 @p871 @p869) :args (@t821 @t822 (@list @t812 @t811))) % 1.04/1.32 (assume-push @p921 @t808) % 1.04/1.32 (step @p916 :rule instantiate :premises (@p866) :args ((@list tptp.v_e____ @t64 tptp.v_T_H_H____ tptp.v_u____ @t807))) % 1.04/1.32 (step-pop @p922 :rule scope :premises (@p916)) % 1.04/1.32 (step @p917 :rule process_scope :premises (@p922) :args (@t820)) % 1.04/1.32 (step @p919 :rule implies_elim :premises (@p917)) % 1.04/1.32 (step @p920 false :rule chain_m_resolution :premises (@p919 @p914 @p866) :args (false @t822 (@list @t820 @t808))) % 1.04/1.32 ) % 1.04/1.32 % SZS output end Proof % 1.04/1.32 % cvc5 exiting %------------------------------------------------------------------------------