%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL812-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:55 AM UTC 2026 % Result : Unsatisfiable 0.76s 1.05s % Output : Proof 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL812-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.12/0.37 % Computer : n017.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 23:18:52 UTC 2026 % 0.12/0.38 % CPUTime : % 0.29/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.76/1.05 % SZS status Unsatisfiable % 0.76/1.05 % SZS output start Proof % 0.76/1.09 ( % 0.76/1.09 (declare-sort $$unsorted 0) % 0.76/1.09 (declare-const tptp.tc_bool $$unsorted) % 0.76/1.09 (declare-const tptp.v_u____ $$unsorted) % 0.76/1.09 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.v_n____ $$unsorted) % 0.76/1.09 (declare-const tptp.v_ua______ $$unsorted) % 0.76/1.09 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.t_a $$unsorted) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_OrderedGroup_Omonoid__add (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_List_Osko__List__Xmap__ext__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_OrderedGroup_Osemigroup__add (-> $$unsorted $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__3 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__4 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__1 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__2 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__5 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.v_i____ $$unsorted) % 0.76/1.09 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Type_Otype_OFun (-> $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__6 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__1 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__2 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__4 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.76/1.09 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.tc_nat $$unsorted) % 0.76/1.09 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__3 (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.76/1.09 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.76/1.09 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.76/1.09 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.76/1.09 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_List_Osko__List__Xmap__eq__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.v_as____ $$unsorted) % 0.76/1.09 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.76/1.09 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.76/1.09 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.76/1.09 (declare-const tptp.c_List_Osko__List__Xmap__cong__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.76/1.09 (define @t1 () (@var "T_a" $$unsorted)) % 0.76/1.09 (define @t2 () (@var "V_v" $$unsorted)) % 0.76/1.09 (define @t3 () (tptp.c_Int_Onumber__class_Onumber__of @t2 @t1)) % 0.76/1.09 (define @t4 () (@var "V_w" $$unsorted)) % 0.76/1.09 (define @t5 () (tptp.c_Int_Onumber__class_Onumber__of @t4 @t1)) % 0.76/1.09 (define @t6 () (tptp.c_HOL_Oord__class_Oless @t5 @t3 @t1)) % 0.76/1.09 (define @t7 () (tptp.c_lessequals @t3 @t5 @t1)) % 0.76/1.09 (define @t8 () (not (tptp.class_Int_Onumber @t1))) % 0.76/1.09 (define @t9 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.76/1.09 (define @t10 () (@var "V_type2_H" $$unsorted)) % 0.76/1.09 (define @t11 () (@var "V_type2" $$unsorted)) % 0.76/1.09 (define @t12 () (@var "V_type1_H" $$unsorted)) % 0.76/1.09 (define @t13 () (@var "V_type1" $$unsorted)) % 0.76/1.09 (define @t14 () (not (= (tptp.c_Type_Otype_OFun @t13 @t11) (tptp.c_Type_Otype_OFun @t12 @t10)))) % 0.76/1.09 (define @t15 () (@list @t13 @t11 @t12 @t10)) % 0.76/1.09 (define @t16 () (@var "V_n" $$unsorted)) % 0.76/1.09 (define @t17 () (tptp.c_Suc @t16)) % 0.76/1.09 (define @t18 () (@list @t16)) % 0.76/1.09 (define @t19 () (@var "V_x" $$unsorted)) % 0.76/1.09 (define @t20 () (@var "V_y" $$unsorted)) % 0.76/1.09 (define @t21 () (tptp.c_lessequals @t20 @t19 @t1)) % 0.76/1.09 (define @t22 () (not @t21)) % 0.76/1.09 (define @t23 () (@var "V_z" $$unsorted)) % 0.76/1.09 (define @t24 () (not (tptp.c_lessequals @t23 @t20 @t1))) % 0.76/1.09 (define @t25 () (not (tptp.class_Orderings_Oorder @t1))) % 0.76/1.09 (define @t26 () (@list @t1 @t23 @t19 @t20)) % 0.76/1.09 (define @t27 () (tptp.c_HOL_Oord__class_Oless @t20 @t19 @t1)) % 0.76/1.09 (define @t28 () (not @t27)) % 0.76/1.09 (define @t29 () (tptp.c_HOL_Oord__class_Oless @t23 @t19 @t1)) % 0.76/1.09 (define @t30 () (not (tptp.c_HOL_Oord__class_Oless @t23 @t20 @t1))) % 0.76/1.09 (define @t31 () (tptp.c_lessequals @t19 @t20 @t1)) % 0.76/1.09 (define @t32 () (not @t31)) % 0.76/1.09 (define @t33 () (not (tptp.c_lessequals @t20 @t23 @t1))) % 0.76/1.09 (define @t34 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.76/1.09 (define @t35 () (@list @t1 @t19 @t23 @t20)) % 0.76/1.09 (define @t36 () (tptp.c_lessequals @t19 @t19 @t1)) % 0.76/1.09 (define @t37 () (@list @t1 @t19)) % 0.76/1.09 (define @t38 () (not (tptp.c_HOL_Oord__class_Oless @t20 @t23 @t1))) % 0.76/1.09 (define @t39 () (tptp.c_HOL_Oord__class_Oless @t19 @t23 @t1)) % 0.76/1.09 (define @t40 () (tptp.c_HOL_Oord__class_Oless @t19 @t20 @t1)) % 0.76/1.09 (define @t41 () (not @t40)) % 0.76/1.09 (define @t42 () (@var "V_c" $$unsorted)) % 0.76/1.09 (define @t43 () (@var "V_b" $$unsorted)) % 0.76/1.09 (define @t44 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.76/1.09 (define @t45 () (tptp.hAPP @t44 @t43)) % 0.76/1.09 (define @t46 () (tptp.hAPP @t45 @t42)) % 0.76/1.09 (define @t47 () (@var "V_a" $$unsorted)) % 0.76/1.09 (define @t48 () (@var "V_d" $$unsorted)) % 0.76/1.09 (define @t49 () (not (tptp.c_lessequals @t42 @t48 @t1))) % 0.76/1.09 (define @t50 () (tptp.hAPP @t45 @t48)) % 0.76/1.09 (define @t51 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.76/1.09 (define @t52 () (@var "V_m" $$unsorted)) % 0.76/1.09 (define @t53 () (tptp.c_Suc @t52)) % 0.76/1.09 (define @t54 () (tptp.c_HOL_Oord__class_Oless @t53 @t16 tptp.tc_nat)) % 0.76/1.09 (define @t55 () (tptp.c_HOL_Oord__class_Oless @t52 @t16 tptp.tc_nat)) % 0.76/1.09 (define @t56 () (@list @t52 @t16)) % 0.76/1.09 (define @t57 () (not @t55)) % 0.76/1.09 (define @t58 () (tptp.c_HOL_Oord__class_Oless @t52 @t17 tptp.tc_nat)) % 0.76/1.09 (define @t59 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.76/1.09 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t59 @t16 tptp.tc_nat)) % 0.76/1.09 (define @t61 () (not @t60)) % 0.76/1.09 (define @t62 () (tptp.c_Suc @t59)) % 0.76/1.09 (define @t63 () (@var "V_x_H" $$unsorted)) % 0.76/1.09 (define @t64 () (@var "V_y_H" $$unsorted)) % 0.76/1.09 (define @t65 () (tptp.c_lessequals @t64 @t63 @t1)) % 0.76/1.09 (define @t66 () (tptp.c_HOL_Ominus__class_Ominus @t63 @t64 @t1)) % 0.76/1.09 (define @t67 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t20 @t1)) % 0.76/1.09 (define @t68 () (not (= @t67 @t66))) % 0.76/1.09 (define @t69 () (@list @t1 @t19 @t20 @t63 @t64)) % 0.76/1.09 (define @t70 () (tptp.c_HOL_Oord__class_Oless @t63 @t64 @t1)) % 0.76/1.09 (define @t71 () (@var "V_i" $$unsorted)) % 0.76/1.09 (define @t72 () (tptp.c_Suc @t71)) % 0.76/1.09 (define @t73 () (not (tptp.c_lessequals @t43 @t47 @t1))) % 0.76/1.09 (define @t74 () (= @t47 @t43)) % 0.76/1.09 (define @t75 () (tptp.c_HOL_Oord__class_Oless @t43 @t47 @t1)) % 0.76/1.09 (define @t76 () (@list @t1 @t43 @t47)) % 0.76/1.09 (define @t77 () (= @t19 @t20)) % 0.76/1.09 (define @t78 () (@list @t1 @t19 @t20)) % 0.76/1.09 (define @t79 () (tptp.c_lessequals @t47 @t43 @t1)) % 0.76/1.09 (define @t80 () (not @t79)) % 0.76/1.09 (define @t81 () (tptp.c_HOL_Oord__class_Oless @t47 @t43 @t1)) % 0.76/1.09 (define @t82 () (@list @t1 @t47 @t43)) % 0.76/1.09 (define @t83 () (@list @t1 @t20 @t19)) % 0.76/1.09 (define @t84 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.76/1.09 (define @t85 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t84 tptp.tc_nat)) % 0.76/1.09 (define @t86 () (tptp.c_Suc @t85)) % 0.76/1.09 (define @t87 () (= @t52 @t59)) % 0.76/1.09 (define @t88 () (tptp.c_HOL_Ominus__class_Ominus @t52 @t84 tptp.tc_nat)) % 0.76/1.09 (define @t89 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.76/1.09 (define @t90 () (tptp.hAPP @t89 @t52)) % 0.76/1.09 (define @t91 () (tptp.hAPP @t90 @t16)) % 0.76/1.09 (define @t92 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.76/1.09 (define @t93 () (tptp.c_HOL_Ominus__class_Ominus @t47 @t43 @t1)) % 0.76/1.09 (define @t94 () (tptp.c_HOL_Oord__class_Oless @t93 @t92 @t1)) % 0.76/1.09 (define @t95 () (not @t81)) % 0.76/1.09 (define @t96 () (tptp.c_lessequals @t92 @t47 @t1)) % 0.76/1.09 (define @t97 () (not @t96)) % 0.76/1.09 (define @t98 () (not (tptp.c_lessequals @t92 @t43 @t1))) % 0.76/1.09 (define @t99 () (tptp.hAPP @t44 @t47)) % 0.76/1.09 (define @t100 () (tptp.hAPP @t99 @t43)) % 0.76/1.09 (define @t101 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.76/1.09 (define @t102 () (tptp.hAPP @t44 @t92)) % 0.76/1.09 (define @t103 () (= (tptp.hAPP @t102 @t92) @t92)) % 0.76/1.09 (define @t104 () (not (tptp.c_lessequals @t92 @t92 @t1))) % 0.76/1.09 (define @t105 () (@list @t1)) % 0.76/1.09 (define @t106 () (tptp.hAPP @t99 @t47)) % 0.76/1.09 (define @t107 () (tptp.c_lessequals @t92 @t106 @t1)) % 0.76/1.09 (define @t108 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.76/1.09 (define @t109 () (@list @t1 @t47)) % 0.76/1.09 (define @t110 () (not (tptp.c_lessequals @t43 @t42 @t1))) % 0.76/1.09 (define @t111 () (tptp.hAPP @t99 @t42)) % 0.76/1.09 (define @t112 () (tptp.c_lessequals @t43 @t111 @t1)) % 0.76/1.09 (define @t113 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.76/1.09 (define @t114 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.76/1.09 (define @t115 () (@list @t1 @t43 @t47 @t42)) % 0.76/1.09 (define @t116 () (not (tptp.c_lessequals @t92 @t19 @t1))) % 0.76/1.09 (define @t117 () (not (tptp.c_lessequals @t92 @t20 @t1))) % 0.76/1.09 (define @t118 () (tptp.hAPP @t44 @t19)) % 0.76/1.09 (define @t119 () (tptp.hAPP @t118 @t20)) % 0.76/1.09 (define @t120 () (not (= @t119 @t92))) % 0.76/1.09 (define @t121 () (tptp.c_lessequals @t47 @t92 @t1)) % 0.76/1.09 (define @t122 () (not @t121)) % 0.76/1.09 (define @t123 () (tptp.c_lessequals @t106 @t92 @t1)) % 0.76/1.09 (define @t124 () (not (tptp.c_lessequals @t43 @t92 @t1))) % 0.76/1.09 (define @t125 () (tptp.c_HOL_Oord__class_Oless @t111 @t50 @t1)) % 0.76/1.09 (define @t126 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.76/1.09 (define @t127 () (@list @t1 @t47 @t42 @t43 @t48)) % 0.76/1.09 (define @t128 () (not (tptp.c_HOL_Oord__class_Oless @t42 @t48 @t1))) % 0.76/1.09 (define @t129 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.76/1.09 (define @t130 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.76/1.09 (define @t131 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t52 @t1)) % 0.76/1.09 (define @t132 () (@list @t1 @t52)) % 0.76/1.09 (define @t133 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t16 @t1)) % 0.76/1.09 (define @t134 () (@list @t1 @t16)) % 0.76/1.09 (define @t135 () (tptp.c_Suc @t19)) % 0.76/1.09 (define @t136 () (@list @t19)) % 0.76/1.09 (define @t137 () (= @t16 @t59)) % 0.76/1.09 (define @t138 () (@var "V_P" $$unsorted)) % 0.76/1.09 (define @t139 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t52 tptp.tc_nat)) % 0.76/1.09 (define @t140 () (tptp.c_HOL_Oord__class_Oless @t59 @t139 tptp.tc_nat)) % 0.76/1.09 (define @t141 () (@list @t16 @t52)) % 0.76/1.09 (define @t142 () (tptp.c_HOL_Oord__class_Oless @t59 @t52 tptp.tc_nat)) % 0.76/1.09 (define @t143 () (not @t142)) % 0.76/1.09 (define @t144 () (tptp.c_HOL_Ominus__class_Ominus @t52 @t16 tptp.tc_nat)) % 0.76/1.09 (define @t145 () (tptp.c_Power_Opower__class_Opower @t43 @t16 @t1)) % 0.76/1.09 (define @t146 () (tptp.c_Power_Opower__class_Opower @t47 @t16 @t1)) % 0.76/1.09 (define @t147 () (@list @t1 @t47 @t16 @t43)) % 0.76/1.09 (define @t148 () (@list @t1 @t47 @t16)) % 0.76/1.09 (define @t149 () (not (tptp.class_Power_Opower @t1))) % 0.76/1.09 (define @t150 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 0.76/1.09 (define @t151 () (= @t52 @t62)) % 0.76/1.09 (define @t152 () (not (= @t91 @t62))) % 0.76/1.09 (define @t153 () (= @t16 @t62)) % 0.76/1.09 (define @t154 () (not (= @t62 @t91))) % 0.76/1.09 (define @t155 () (tptp.hAPP @t89 @t16)) % 0.76/1.09 (define @t156 () (tptp.hAPP @t155 @t52)) % 0.76/1.09 (define @t157 () (tptp.hAPP @t89 @t59)) % 0.76/1.09 (define @t158 () (tptp.hAPP @t157 @t62)) % 0.76/1.09 (define @t159 () (tptp.hAPP (tptp.hAPP @t89 @t62) @t59)) % 0.76/1.09 (define @t160 () (tptp.hAPP @t89 @t71)) % 0.76/1.09 (define @t161 () (@list @t71 @t52)) % 0.76/1.09 (define @t162 () (@var "V_k" $$unsorted)) % 0.76/1.09 (define @t163 () (@var "V_j" $$unsorted)) % 0.76/1.09 (define @t164 () (tptp.c_HOL_Oord__class_Oless @t71 (tptp.c_HOL_Ominus__class_Ominus @t163 @t162 tptp.tc_nat) tptp.tc_nat)) % 0.76/1.09 (define @t165 () (tptp.hAPP @t160 @t162)) % 0.76/1.09 (define @t166 () (tptp.c_HOL_Oord__class_Oless @t165 @t163 tptp.tc_nat)) % 0.76/1.09 (define @t167 () (@list @t71 @t162 @t163)) % 0.76/1.09 (define @t168 () (@list @t71 @t163 @t162)) % 0.76/1.09 (define @t169 () (tptp.c_Int_Onumber__class_Onumber__of @t2 tptp.tc_nat)) % 0.76/1.09 (define @t170 () (= @t169 @t59)) % 0.76/1.09 (define @t171 () (@var "V_xs" $$unsorted)) % 0.76/1.09 (define @t172 () (tptp.c_HOL_Ominus__class_Ominus @t169 @t84 tptp.tc_nat)) % 0.76/1.09 (define @t173 () (tptp.c_List_Olist_OCons @t19 @t171 @t1)) % 0.76/1.09 (define @t174 () (tptp.c_List_Otake @t169 @t173 @t1)) % 0.76/1.09 (define @t175 () (@list @t2 @t19 @t171 @t1)) % 0.76/1.09 (define @t176 () (tptp.c_List_Otake @t16 @t171 @t1)) % 0.76/1.09 (define @t177 () (@list @t16 @t19 @t171 @t1)) % 0.76/1.09 (define @t178 () (tptp.c_HOL_Oord__class_Oless @t71 @t162 tptp.tc_nat)) % 0.76/1.09 (define @t179 () (not @t178)) % 0.76/1.09 (define @t180 () (tptp.c_Lambda_OdB_OVar @t71)) % 0.76/1.09 (define @t181 () (tptp.c_Lambda_Oliftn @t16 @t180 @t162)) % 0.76/1.09 (define @t182 () (@list @t16 @t71 @t162)) % 0.76/1.09 (define @t183 () (tptp.c_List_Olist__update @t171 @t71 @t20 @t1)) % 0.76/1.09 (define @t184 () (@var "V_U" $$unsorted)) % 0.76/1.09 (define @t185 () (@var "V_T" $$unsorted)) % 0.76/1.09 (define @t186 () (tptp.c_Type_Otype_OFun @t185 @t184)) % 0.76/1.09 (define @t187 () (@var "V_s" $$unsorted)) % 0.76/1.09 (define @t188 () (@var "V_env" $$unsorted)) % 0.76/1.09 (define @t189 () (@var "V_t" $$unsorted)) % 0.76/1.09 (define @t190 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t187)) % 0.76/1.09 (define @t191 () (tptp.hAPP @t190 @t189)) % 0.76/1.09 (define @t192 () (@var "V_e" $$unsorted)) % 0.76/1.09 (define @t193 () (tptp.c_Power_Opower__class_Opower @t43 @t17 @t1)) % 0.76/1.09 (define @t194 () (tptp.c_Power_Opower__class_Opower @t47 @t17 @t1)) % 0.76/1.09 (define @t195 () (@list @t1 @t47 @t43 @t16)) % 0.76/1.09 (define @t196 () (tptp.hAPP @t44 @t42)) % 0.76/1.09 (define @t197 () (tptp.hAPP @t196 @t43)) % 0.76/1.09 (define @t198 () (tptp.hAPP @t196 @t47)) % 0.76/1.09 (define @t199 () (tptp.c_lessequals @t198 @t197 @t1)) % 0.76/1.09 (define @t200 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.76/1.09 (define @t201 () (@list @t1 @t42 @t47 @t43)) % 0.76/1.09 (define @t202 () (tptp.c_lessequals @t111 @t46 @t1)) % 0.76/1.09 (define @t203 () (@list @t1 @t47 @t42 @t43)) % 0.76/1.09 (define @t204 () (@list @t1 @t47 @t43 @t42)) % 0.76/1.09 (define @t205 () (not (tptp.c_HOL_Oord__class_Oless @t71 @t163 tptp.tc_nat))) % 0.76/1.09 (define @t206 () (not (tptp.c_HOL_Oord__class_Oless @t163 @t162 tptp.tc_nat))) % 0.76/1.09 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t19 @t135 tptp.tc_nat)) % 0.76/1.09 (define @t208 () (tptp.c_lessequals @t93 @t92 @t1)) % 0.76/1.09 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t16 @t52 tptp.tc_nat)) % 0.76/1.09 (define @t210 () (tptp.c_HOL_Oord__class_Oless @t16 @t53 tptp.tc_nat)) % 0.76/1.09 (define @t211 () (not @t210)) % 0.76/1.09 (define @t212 () (= @t52 @t16)) % 0.76/1.09 (define @t213 () (@var "V_nat_H" $$unsorted)) % 0.76/1.09 (define @t214 () (@var "V_nat" $$unsorted)) % 0.76/1.09 (define @t215 () (= @t214 @t213)) % 0.76/1.09 (define @t216 () (tptp.c_Suc @t213)) % 0.76/1.09 (define @t217 () (@list @t214 @t213)) % 0.76/1.09 (define @t218 () (tptp.c_Lambda_Oliftn @t16 @t189 @t162)) % 0.76/1.09 (define @t219 () (@var "V_l" $$unsorted)) % 0.76/1.09 (define @t220 () (tptp.c_Suc @t91)) % 0.76/1.09 (define @t221 () (tptp.hAPP (tptp.hAPP @t89 @t53) @t16)) % 0.76/1.09 (define @t222 () (tptp.hAPP @t90 @t17)) % 0.76/1.09 (define @t223 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.76/1.09 (define @t224 () (tptp.hAPP @t89 @t43)) % 0.76/1.09 (define @t225 () (tptp.c_HOL_Oord__class_Oless @t19 @t19 @t1)) % 0.76/1.09 (define @t226 () (not @t225)) % 0.76/1.09 (define @t227 () (@var "V_inc" $$unsorted)) % 0.76/1.09 (define @t228 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.76/1.09 (define @t229 () (tptp.hAPP @t89 @t163)) % 0.76/1.09 (define @t230 () (tptp.hAPP @t229 @t162)) % 0.76/1.09 (define @t231 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t71 @t163 tptp.tc_nat) @t162 tptp.tc_nat)) % 0.76/1.09 (define @t232 () (@var "V_xa" $$unsorted)) % 0.76/1.09 (define @t233 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t19 @t1)) % 0.76/1.09 (define @t234 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.76/1.09 (define @t235 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.76/1.09 (define @t236 () (tptp.hAPP @t155 @t162)) % 0.76/1.09 (define @t237 () (tptp.hAPP @t90 @t162)) % 0.76/1.09 (define @t238 () (@list @t52 @t162 @t16)) % 0.76/1.09 (define @t239 () (tptp.hAPP @t89 @t162)) % 0.76/1.09 (define @t240 () (tptp.hAPP @t239 @t16)) % 0.76/1.09 (define @t241 () (tptp.hAPP @t239 @t52)) % 0.76/1.09 (define @t242 () (@list @t162 @t52 @t16)) % 0.76/1.09 (define @t243 () (tptp.c_Suc @t162)) % 0.76/1.09 (define @t244 () (@list @t52 @t16 @t162)) % 0.76/1.09 (define @t245 () (tptp.c_HOL_Oord__class_Oless @t19 @t19 tptp.tc_nat)) % 0.76/1.09 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t53 @t17 tptp.tc_nat)) % 0.76/1.09 (define @t247 () (= @t233 @t92)) % 0.76/1.09 (define @t248 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.76/1.09 (define @t249 () (not (= @t93 @t92))) % 0.76/1.09 (define @t250 () (@list @t52)) % 0.76/1.09 (define @t251 () (@list @t213)) % 0.76/1.09 (define @t252 () (tptp.c_HOL_Oord__class_Oless @t47 @t92 @t1)) % 0.76/1.09 (define @t253 () (not @t252)) % 0.76/1.09 (define @t254 () (tptp.c_HOL_Oord__class_Oless @t100 @t92 @t1)) % 0.76/1.09 (define @t255 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t92 @t1))) % 0.76/1.09 (define @t256 () (tptp.c_HOL_Oord__class_Oless @t92 @t47 @t1)) % 0.76/1.09 (define @t257 () (not @t256)) % 0.76/1.09 (define @t258 () (tptp.c_HOL_Oord__class_Oless @t43 @t111 @t1)) % 0.76/1.09 (define @t259 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t42 @t1))) % 0.76/1.09 (define @t260 () (not (tptp.c_HOL_Oord__class_Oless @t92 @t43 @t1))) % 0.76/1.09 (define @t261 () (tptp.c_HOL_Oord__class_Oless @t92 @t100 @t1)) % 0.76/1.09 (define @t262 () (tptp.c_HOL_Oord__class_Oless @t146 @t145 @t1)) % 0.76/1.09 (define @t263 () (not (tptp.c_HOL_Oord__class_Oless @t129 @t47 @t1))) % 0.76/1.09 (define @t264 () (tptp.hAPP @t44 @t129)) % 0.76/1.09 (define @t265 () (tptp.hAPP @t239 @t84)) % 0.76/1.09 (define @t266 () (tptp.c_Lambda_OdB_OAbs @t187)) % 0.76/1.09 (define @t267 () (tptp.c_HOL_Ominus__class_Ominus @t163 @t84 tptp.tc_nat)) % 0.76/1.09 (define @t268 () (tptp.hAPP (tptp.c_Type_Oshift @t192 @t71 @t185 @t1) @t163)) % 0.76/1.09 (define @t269 () (@list @t192 @t71 @t185 @t1 @t163)) % 0.76/1.09 (define @t270 () (tptp.hAPP tptp.c_Lambda_Osubst @t189)) % 0.76/1.09 (define @t271 () (not (tptp.c_HOL_Oord__class_Oless @t47 @t129 @t1))) % 0.76/1.09 (define @t272 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 0.76/1.09 (define @t273 () (tptp.hAPP @t160 @t84)) % 0.76/1.09 (define @t274 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t180) @t162)) % 0.76/1.09 (define @t275 () (@list @t71 @t162)) % 0.76/1.09 (define @t276 () (@var "V_u" $$unsorted)) % 0.76/1.09 (define @t277 () (tptp.hAPP @t118 @t23)) % 0.76/1.09 (define @t278 () (tptp.hAPP @t44 @t20)) % 0.76/1.09 (define @t279 () (tptp.hAPP @t118 (tptp.hAPP @t278 @t23))) % 0.76/1.09 (define @t280 () (tptp.c_HOL_Oord__class_Oless @t59 @t91 tptp.tc_nat)) % 0.76/1.09 (define @t281 () (tptp.hAPP @t99 @t46)) % 0.76/1.09 (define @t282 () (tptp.hAPP @t44 @t100)) % 0.76/1.09 (define @t283 () (tptp.hAPP @t282 @t42)) % 0.76/1.09 (define @t284 () (= @t283 @t281)) % 0.76/1.09 (define @t285 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.76/1.09 (define @t286 () (tptp.hAPP @t196 @t48)) % 0.76/1.09 (define @t287 () (tptp.hAPP @t99 @t286)) % 0.76/1.09 (define @t288 () (@list @t1 @t47 @t42 @t48)) % 0.76/1.09 (define @t289 () (tptp.hAPP @t44 @t111)) % 0.76/1.09 (define @t290 () (tptp.hAPP @t89 @t19)) % 0.76/1.09 (define @t291 () (tptp.hAPP @t290 @t23)) % 0.76/1.09 (define @t292 () (tptp.hAPP @t89 @t20)) % 0.76/1.09 (define @t293 () (tptp.hAPP @t292 @t23)) % 0.76/1.09 (define @t294 () (@list @t19 @t20 @t23)) % 0.76/1.09 (define @t295 () (@list @t1 @t19 @t20 @t23)) % 0.76/1.09 (define @t296 () (tptp.c_List_Olist_ONil @t1)) % 0.76/1.09 (define @t297 () (tptp.c_List_Olist_OCons @t19 @t296 @t1)) % 0.76/1.09 (define @t298 () (= @t171 @t297)) % 0.76/1.09 (define @t299 () (tptp.c_List_Orev @t171 @t1)) % 0.76/1.09 (define @t300 () (tptp.c_List_Oappend @t171 @t19 @t1)) % 0.76/1.09 (define @t301 () (@var "V_ys" $$unsorted)) % 0.76/1.09 (define @t302 () (@var "V_r" $$unsorted)) % 0.76/1.09 (define @t303 () (tptp.c_ListOrder_Ostep1 @t302 @t301 @t171 @t1)) % 0.76/1.09 (define @t304 () (not @t303)) % 0.76/1.09 (define @t305 () (@var "V_us" $$unsorted)) % 0.76/1.09 (define @t306 () (@var "V_vs" $$unsorted)) % 0.76/1.09 (define @t307 () (@list @t19 @t171 @t1)) % 0.76/1.09 (define @t308 () (@var "V_s_H" $$unsorted)) % 0.76/1.09 (define @t309 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t310 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 @t187) @t308)))) % 0.76/1.09 (define @t311 () (tptp.c_List_Oappend @t171 @t301 @t1)) % 0.76/1.09 (define @t312 () (@var "V_A" $$unsorted)) % 0.76/1.09 (define @t313 () (tptp.c_List_Olistsp @t312 @t311 @t1)) % 0.76/1.09 (define @t314 () (not @t313)) % 0.76/1.09 (define @t315 () (tptp.c_List_Olistsp @t312 @t171 @t1)) % 0.76/1.09 (define @t316 () (tptp.c_List_Olistsp @t312 @t301 @t1)) % 0.76/1.09 (define @t317 () (@var "V_dB" $$unsorted)) % 0.76/1.09 (define @t318 () (@var "V_f3" $$unsorted)) % 0.76/1.09 (define @t319 () (tptp.hAPP @t318 @t317)) % 0.76/1.09 (define @t320 () (tptp.c_Lambda_OdB_OAbs @t317)) % 0.76/1.09 (define @t321 () (@var "V_f2" $$unsorted)) % 0.76/1.09 (define @t322 () (@var "V_f1" $$unsorted)) % 0.76/1.09 (define @t323 () (@list @t322 @t321 @t318 @t317 @t1)) % 0.76/1.09 (define @t324 () (tptp.c_List_Olist_OCons @t20 @t301 @t1)) % 0.76/1.09 (define @t325 () (not (tptp.c_ListOrder_Ostep1 @t302 @t324 @t173 @t1))) % 0.76/1.09 (define @t326 () (= @t171 @t301)) % 0.76/1.09 (define @t327 () (tptp.hAPP @t302 @t20)) % 0.76/1.09 (define @t328 () (@var "V_zs" $$unsorted)) % 0.76/1.09 (define @t329 () (= @t301 @t328)) % 0.76/1.09 (define @t330 () (@list @t171 @t301 @t1 @t328)) % 0.76/1.09 (define @t331 () (tptp.c_Transitive__Closure_Ortranclp @t302 @t1)) % 0.76/1.09 (define @t332 () (tptp.hAPP @t331 @t47)) % 0.76/1.09 (define @t333 () (tptp.hAPP @t331 @t19)) % 0.76/1.09 (define @t334 () (tptp.hBOOL (tptp.hAPP @t333 @t20))) % 0.76/1.09 (define @t335 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t47)))) % 0.76/1.09 (define @t336 () (tptp.v_sko__InductTermi__XIT__Xcases__1 @t47)) % 0.76/1.09 (define @t337 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t336 tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t338 () (tptp.v_sko__InductTermi__XIT__Xcases__3 @t47)) % 0.76/1.09 (define @t339 () (= @t47 (tptp.c_Lambda_OdB_OAbs @t338))) % 0.76/1.09 (define @t340 () (tptp.v_sko__InductTermi__XIT__Xcases__5 @t47)) % 0.76/1.09 (define @t341 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t340))) % 0.76/1.09 (define @t342 () (@list @t47)) % 0.76/1.09 (define @t343 () (tptp.c_List_Oappend @t171 @t296 @t1)) % 0.76/1.09 (define @t344 () (@list @t171 @t1)) % 0.76/1.09 (define @t345 () (@list @t19 @t1)) % 0.76/1.09 (define @t346 () (tptp.c_List_Oappend @t296 @t301 @t1)) % 0.76/1.09 (define @t347 () (@list @t301 @t1)) % 0.76/1.09 (define @t348 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t302) @t187)))) % 0.76/1.09 (define @t349 () (tptp.hAPP @t270 @t187)) % 0.76/1.09 (define @t350 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 (tptp.hAPP (tptp.hAPP @t270 @t302) @t71)) (tptp.hAPP @t349 @t71)))) % 0.76/1.09 (define @t351 () (@list @t189 @t302 @t71 @t187)) % 0.76/1.09 (define @t352 () (tptp.c_List_Orev @t299 @t1)) % 0.76/1.09 (define @t353 () (tptp.c_List_Orev @t301 @t1)) % 0.76/1.09 (define @t354 () (@var "V_N" $$unsorted)) % 0.76/1.09 (define @t355 () (not (tptp.c_HOL_Oord__class_Oless @t16 @t354 tptp.tc_nat))) % 0.76/1.09 (define @t356 () (tptp.c_Power_Opower__class_Opower @t47 @t354 @t1)) % 0.76/1.09 (define @t357 () (tptp.c_HOL_Oord__class_Oless @t19 @t20 tptp.tc_nat)) % 0.76/1.09 (define @t358 () (not @t357)) % 0.76/1.09 (define @t359 () (tptp.c_HOL_Oord__class_Oless @t19 @t293 tptp.tc_nat)) % 0.76/1.09 (define @t360 () (tptp.hAPP @t160 @t163)) % 0.76/1.09 (define @t361 () (tptp.c_Lambda_OdB_OAbs @t189)) % 0.76/1.09 (define @t362 () (@list @t189 @t187 @t162)) % 0.76/1.09 (define @t363 () (tptp.hAPP @t45 @t47)) % 0.76/1.09 (define @t364 () (not (tptp.c_HOL_Oord__class_Oless @t162 @t219 tptp.tc_nat))) % 0.76/1.09 (define @t365 () (tptp.c_List_Oappend @t171 @t297 @t1)) % 0.76/1.09 (define @t366 () (tptp.c_List_Olist_OCons @t20 @t296 @t1)) % 0.76/1.09 (define @t367 () (tptp.c_List_Oappend @t301 @t366 @t1)) % 0.76/1.09 (define @t368 () (not (tptp.c_ListOrder_Ostep1 @t302 @t367 @t365 @t1))) % 0.76/1.09 (define @t369 () (= @t20 @t19)) % 0.76/1.09 (define @t370 () (tptp.hBOOL (tptp.hAPP @t327 @t19))) % 0.76/1.09 (define @t371 () (@list @t1 @t52 @t16)) % 0.76/1.09 (define @t372 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 @t302) @t187)))) % 0.76/1.09 (define @t373 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t187) @t189)) % 0.76/1.09 (define @t374 () (tptp.hAPP @t373 @t71)) % 0.76/1.09 (define @t375 () (tptp.hAPP tptp.c_Lambda_Osubst @t302)) % 0.76/1.09 (define @t376 () (tptp.hAPP (tptp.hAPP @t375 @t189) @t71)) % 0.76/1.09 (define @t377 () (@list @t302 @t189 @t71 @t187)) % 0.76/1.09 (define @t378 () (@var "V_g" $$unsorted)) % 0.76/1.09 (define @t379 () (@var "V_f" $$unsorted)) % 0.76/1.09 (define @t380 () (tptp.hAPP @t379 (tptp.hAPP @t378 @t19))) % 0.76/1.09 (define @t381 () (@var "T_c" $$unsorted)) % 0.76/1.09 (define @t382 () (@var "T_b" $$unsorted)) % 0.76/1.09 (define @t383 () (tptp.c_Fun_Ocomp @t379 @t378 @t382 @t1 @t381)) % 0.76/1.09 (define @t384 () (tptp.hAPP @t383 @t19)) % 0.76/1.09 (define @t385 () (tptp.c_Fun_Ocomp @t47 @t43 @t381 @t382 @t1)) % 0.76/1.09 (define @t386 () (tptp.hAPP @t47 (tptp.hAPP @t43 @t2))) % 0.76/1.09 (define @t387 () (tptp.c_HOL_Oord__class_Oless @t106 @t92 @t1)) % 0.76/1.09 (define @t388 () (not @t387)) % 0.76/1.09 (define @t389 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.76/1.09 (define @t390 () (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 @t138)) (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 @t138) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.76/1.09 (define @t391 () (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 @t138)) % 0.76/1.09 (define @t392 () (tptp.hBOOL (tptp.hAPP @t138 @t189))) % 0.76/1.09 (define @t393 () (@list @t138 @t189)) % 0.76/1.09 (define @t394 () (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__1 @t138)) (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__2 @t138) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.76/1.09 (define @t395 () (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__3 @t138)) % 0.76/1.09 (define @t396 () (tptp.hAPP @t229 @t84)) % 0.76/1.09 (define @t397 () (not (tptp.c_HOL_Oord__class_Oless @t71 @t396 tptp.tc_nat))) % 0.76/1.09 (define @t398 () (tptp.hAPP (tptp.hAPP @t270 @t276) @t71)) % 0.76/1.09 (define @t399 () (tptp.hAPP tptp.c_Lambda_Osubst @t276)) % 0.76/1.09 (define @t400 () (@list @t317)) % 0.76/1.09 (define @t401 () (@var "V_dB2" $$unsorted)) % 0.76/1.09 (define @t402 () (@var "V_dB1" $$unsorted)) % 0.76/1.09 (define @t403 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t402) @t401)) % 0.76/1.09 (define @t404 () (@list @t402 @t401)) % 0.76/1.09 (define @t405 () (tptp.c_HOL_Oord__class_Oless @t162 @t71 tptp.tc_nat)) % 0.76/1.09 (define @t406 () (not @t405)) % 0.76/1.09 (define @t407 () (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t71 @t84 tptp.tc_nat))) % 0.76/1.09 (define @t408 () (tptp.c_Lambda_Osubstn @t180 @t187 @t162)) % 0.76/1.09 (define @t409 () (@list @t71 @t187 @t162)) % 0.76/1.09 (define @t410 () (tptp.c_Lambda_OdB_OVar @t19)) % 0.76/1.09 (define @t411 () (@list @t19 @t187)) % 0.76/1.09 (define @t412 () (@var "V_ts" $$unsorted)) % 0.76/1.09 (define @t413 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t189 @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t414 () (not (tptp.c_Type_Otyping @t192 @t413 @t185))) % 0.76/1.09 (define @t415 () (@list @t192 @t412 @t185 @t189)) % 0.76/1.09 (define @t416 () (tptp.hAPP tptp.c_Lambda_Olift @t189)) % 0.76/1.09 (define @t417 () (tptp.hAPP @t416 @t162)) % 0.76/1.09 (define @t418 () (tptp.hAPP @t416 @t71)) % 0.76/1.09 (define @t419 () (tptp.c_Lambda_OdB_OVar @t163)) % 0.76/1.09 (define @t420 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t419) @t276) @t71)) % 0.76/1.09 (define @t421 () (@list @t163 @t276 @t71)) % 0.76/1.09 (define @t422 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t180) @t187) @t162)) % 0.76/1.09 (define @t423 () (tptp.c_List_Orev @t297 @t1)) % 0.76/1.09 (define @t424 () (tptp.c_List_Oappend @t353 @t366 @t1)) % 0.76/1.09 (define @t425 () (tptp.hAPP tptp.c_Lambda_Olift @t187)) % 0.76/1.09 (define @t426 () (tptp.hAPP @t425 @t71)) % 0.76/1.09 (define @t427 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t349 @t163)) @t71)) % 0.76/1.09 (define @t428 () (@list @t189 @t187 @t163 @t71)) % 0.76/1.09 (define @t429 () (tptp.c_List_Olist_OCons @t19 (tptp.c_List_Oappend @t232 @t328 @t1) @t1)) % 0.76/1.09 (define @t430 () (tptp.c_List_Olist_OCons @t19 @t232 @t1)) % 0.76/1.09 (define @t431 () (tptp.c_List_Oappend @t430 @t328 @t1)) % 0.76/1.09 (define @t432 () (@var "V_t_H" $$unsorted)) % 0.76/1.09 (define @t433 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 @t189) @t432)))) % 0.76/1.09 (define @t434 () (tptp.hAPP @t309 @t191)) % 0.76/1.09 (define @t435 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t308)) % 0.76/1.09 (define @t436 () (= @t171 @t296)) % 0.76/1.09 (define @t437 () (tptp.v_sko__InductTermi__XIT__Xcases__6 @t47)) % 0.76/1.09 (define @t438 () (tptp.v_sko__InductTermi__XIT__Xcases__4 @t47)) % 0.76/1.09 (define @t439 () (= @t47 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t438)) @t340) @t437 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.76/1.09 (define @t440 () (= @t20 @t23)) % 0.76/1.09 (define @t441 () (= @t43 @t42)) % 0.76/1.09 (define @t442 () (not (= @t100 @t111))) % 0.76/1.09 (define @t443 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.76/1.09 (define @t444 () (@var "V_xs1" $$unsorted)) % 0.76/1.09 (define @t445 () (@var "V_list_H" $$unsorted)) % 0.76/1.09 (define @t446 () (@var "V_a_H" $$unsorted)) % 0.76/1.09 (define @t447 () (tptp.c_List_Olist_OCons @t446 @t445 @t1)) % 0.76/1.09 (define @t448 () (not (tptp.c_Type_Otyping @t192 @t189 @t185))) % 0.76/1.09 (define @t449 () (tptp.c_Type_Otyping @t192 @t432 @t185)) % 0.76/1.09 (define @t450 () (@list @t192 @t432 @t185 @t189)) % 0.76/1.09 (define @t451 () (= @t47 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.v_sko__InductTermi__XIT__Xcases__2 @t47)) @t336 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.76/1.09 (define @t452 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t338))) % 0.76/1.09 (define @t453 () (tptp.c_List_Oappend @t296 @t173 @t1)) % 0.76/1.09 (define @t454 () (@var "V_e_H" $$unsorted)) % 0.76/1.09 (define @t455 () (= @t301 @t171)) % 0.76/1.09 (define @t456 () (tptp.c_List_Oappend @t296 @t296 @t1)) % 0.76/1.09 (define @t457 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t187) @t189)))) % 0.76/1.09 (define @t458 () (@list @t187 @t189)) % 0.76/1.09 (define @t459 () (tptp.c_List_Orev @t296 @t1)) % 0.76/1.09 (define @t460 () (@list @t171 @t301 @t1)) % 0.76/1.09 (define @t461 () (@var "V_plus" $$unsorted)) % 0.76/1.09 (define @t462 () (@var "V_zero" $$unsorted)) % 0.76/1.09 (define @t463 () (not (tptp.c_OrderedGroup_Omonoid__add @t462 @t461 @t1))) % 0.76/1.09 (define @t464 () (tptp.hAPP @t461 @t47)) % 0.76/1.09 (define @t465 () (tptp.c_HOL_Oord__class_Oless @t92 @t106 @t1)) % 0.76/1.09 (define @t466 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t438) @t340) @t59) @t437 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.76/1.09 (define @t467 () (= @t47 @t92)) % 0.76/1.09 (define @t468 () (not (= @t146 @t92))) % 0.76/1.09 (define @t469 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.76/1.09 (define @t470 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.76/1.09 (define @t471 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.76/1.09 (define @t472 () (= (tptp.hAPP @t102 @t47) @t47)) % 0.76/1.09 (define @t473 () (= (tptp.hAPP @t99 @t92) @t47)) % 0.76/1.09 (define @t474 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.76/1.09 (define @t475 () (not (= @t91 @t59))) % 0.76/1.09 (define @t476 () (@var "V_dB_H" $$unsorted)) % 0.76/1.09 (define @t477 () (tptp.c_Lambda_OdB_OAbs @t476)) % 0.76/1.09 (define @t478 () (@var "V_xc" $$unsorted)) % 0.76/1.09 (define @t479 () (@var "V_xb" $$unsorted)) % 0.76/1.09 (define @t480 () (tptp.hAPP (tptp.hAPP @t321 @t402) @t401)) % 0.76/1.09 (define @t481 () (@list @t322 @t321 @t318 @t402 @t401 @t1)) % 0.76/1.09 (define @t482 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t276)) % 0.76/1.09 (define @t483 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t189)) % 0.76/1.09 (define @t484 () (tptp.hAPP @t483 @t276)) % 0.76/1.09 (define @t485 () (@list @t189 @t276 @t187 @t162)) % 0.76/1.09 (define @t486 () (tptp.c_List_Olist_ONil @t382)) % 0.76/1.09 (define @t487 () (= @t171 @t486)) % 0.76/1.09 (define @t488 () (tptp.c_List_Omap @t379 @t171 @t382 @t1)) % 0.76/1.09 (define @t489 () (@list @t379 @t171 @t382 @t1)) % 0.76/1.09 (define @t490 () (tptp.c_List_Oappend @t171 @t301 @t382)) % 0.76/1.09 (define @t491 () (= @t71 @t162)) % 0.76/1.09 (define @t492 () (not (= @t296 @t311))) % 0.76/1.09 (define @t493 () (@list @t1 @t171 @t301)) % 0.76/1.09 (define @t494 () (= @t301 @t296)) % 0.76/1.09 (define @t495 () (not (= @t311 @t296))) % 0.76/1.09 (define @t496 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t302) @t71)) % 0.76/1.09 (define @t497 () (@list @t302 @t71 @t187)) % 0.76/1.09 (define @t498 () (@list @t302 @t301 @t171 @t1 @t20 @t19)) % 0.76/1.09 (define @t499 () (not (tptp.c_OrderedGroup_Osemigroup__add @t461 @t1))) % 0.76/1.09 (define @t500 () (tptp.c_HOL_Oord__class_Oless @t131 @t133 @t1)) % 0.76/1.09 (define @t501 () (tptp.c_HOL_Oord__class_Oless @t92 @t133 @t1)) % 0.76/1.09 (define @t502 () (tptp.c_Power_Opower__class_Opower @t47 @t52 @t1)) % 0.76/1.09 (define @t503 () (tptp.c_Power_Opower__class_Opower @t47 @t59 @t1)) % 0.76/1.09 (define @t504 () (@var "T_d" $$unsorted)) % 0.76/1.09 (define @t505 () (@var "V_h" $$unsorted)) % 0.76/1.09 (define @t506 () (not (tptp.class_OrderedGroup_Osemigroup__add @t1))) % 0.76/1.09 (define @t507 () (not (tptp.c_HOL_Oord__class_Oless @t163 @t71 tptp.tc_nat))) % 0.76/1.09 (define @t508 () (not (tptp.c_HOL_Oord__class_Oless @t129 @t43 @t1))) % 0.76/1.09 (define @t509 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t43 @t19 @t1) (tptp.c_Power_Opower__class_Opower @t43 @t20 @t1) @t1)) % 0.76/1.09 (define @t510 () (tptp.c_HOL_Oord__class_Oless @t111 @t46 @t1)) % 0.76/1.09 (define @t511 () (tptp.c_HOL_Oord__class_Oless @t198 @t197 @t1)) % 0.76/1.09 (define @t512 () (tptp.c_HOL_Oord__class_Oless @t241 @t240 tptp.tc_nat)) % 0.76/1.09 (define @t513 () (@var "V_list" $$unsorted)) % 0.76/1.09 (define @t514 () (not (= (tptp.c_List_Olist_OCons @t47 @t513 @t1) @t447))) % 0.76/1.09 (define @t515 () (@list @t47 @t513 @t1 @t446 @t445)) % 0.76/1.09 (define @t516 () (@var "V_i_H" $$unsorted)) % 0.76/1.09 (define @t517 () (tptp.c_List_Olist__update @t171 @t71 @t19 @t1)) % 0.76/1.09 (define @t518 () (@var "T_e" $$unsorted)) % 0.76/1.09 (define @t519 () (@var "V_g_H" $$unsorted)) % 0.76/1.09 (define @t520 () (@var "V_f_H" $$unsorted)) % 0.76/1.09 (define @t521 () (not (= @t365 @t367))) % 0.76/1.09 (define @t522 () (@list @t171 @t19 @t1 @t301 @t20)) % 0.76/1.09 (define @t523 () (tptp.c_Type_Oshift @t192 @t71 @t184 tptp.tc_Type_Otype)) % 0.76/1.09 (define @t524 () (not @t75)) % 0.76/1.09 (define @t525 () (tptp.hBOOL (tptp.hAPP @t332 @t42))) % 0.76/1.09 (define @t526 () (@list @t302 @t1 @t47 @t42 @t43)) % 0.76/1.09 (define @t527 () (tptp.c_List_Osko__List__Xmap__ext__1__1 @t379 @t378 @t171 @t1 @t382)) % 0.76/1.09 (define @t528 () (tptp.c_List_Omap @t379 @t486 @t382 @t1)) % 0.76/1.09 (define @t529 () (tptp.hAPP @t379 @t19)) % 0.76/1.09 (define @t530 () (tptp.c_List_Olist_OCons @t19 @t171 @t382)) % 0.76/1.09 (define @t531 () (tptp.c_List_Osko__List__Xmap__cong__1__1 @t379 @t378 @t19 @t1 @t382)) % 0.76/1.09 (define @t532 () (tptp.c_List_Osko__List__Xmap__eq__conv__1__1 @t379 @t378 @t171 @t382 @t1)) % 0.76/1.09 (define @t533 () (@var "V_ss" $$unsorted)) % 0.76/1.09 (define @t534 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t187 @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t535 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t302 @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t536 () (@list @t302 @t533 @t187)) % 0.76/1.09 (define @t537 () (@var "V_rs" $$unsorted)) % 0.76/1.09 (define @t538 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t539 () (= @t533 @t538)) % 0.76/1.09 (define @t540 () (tptp.c_Lambda_OdB_OAbs @t302)) % 0.76/1.09 (define @t541 () (not (= @t540 @t534))) % 0.76/1.09 (define @t542 () (@list @t302 @t187 @t533)) % 0.76/1.09 (define @t543 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t540 @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t544 () (@list @t302)) % 0.76/1.09 (define @t545 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t302) @t187)) % 0.76/1.09 (define @t546 () (not (= @t534 @t540))) % 0.76/1.09 (define @t547 () (@list @t187 @t533 @t302)) % 0.76/1.09 (define @t548 () (tptp.hAPP @t461 @t19)) % 0.76/1.09 (define @t549 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t180 @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t550 () (not (tptp.c_Type_Otyping @t192 @t549 @t185))) % 0.76/1.09 (define @t551 () (@var "V_Ts" $$unsorted)) % 0.76/1.09 (define @t552 () (not (tptp.c_Type_Otypings @t192 @t412 @t551))) % 0.76/1.09 (define @t553 () (not (tptp.c_Type_Otyping @t192 @t549 @t184))) % 0.76/1.09 (define @t554 () (tptp.c_Lambda_OdB_OVar @t16)) % 0.76/1.09 (define @t555 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t554 @t537 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t556 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t555) @t2)))) % 0.76/1.09 (define @t557 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t16 @t537 @t2)) % 0.76/1.09 (define @t558 () (tptp.c_Lambda_OdB_OVar @t214)) % 0.76/1.09 (define @t559 () (@var "V_xd" $$unsorted)) % 0.76/1.09 (define @t560 () (tptp.hAPP @t322 @t214)) % 0.76/1.09 (define @t561 () (@list @t322 @t321 @t318 @t214 @t1)) % 0.76/1.09 (define @t562 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t302)))) % 0.76/1.09 (define @t563 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t266) @t189)) % 0.76/1.09 (define @t564 () (= (tptp.c_Power_Opower__class_Opower @t92 @t16 @t1) @t92)) % 0.76/1.09 (define @t565 () (@list @t214)) % 0.76/1.09 (define @t566 () (= @t302 @t187)) % 0.76/1.09 (define @t567 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t540 @t537 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t266 @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.76/1.09 (define @t568 () (@list @t302 @t537 @t187 @t533)) % 0.76/1.09 (define @t569 () (= @t537 @t533)) % 0.76/1.09 (define @t570 () (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t571 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t276 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t570) @t71 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t572 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t71 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t573 () (tptp.c_Lambda_OdB_OVar @t52)) % 0.76/1.09 (define @t574 () (not (= @t573 @t534))) % 0.76/1.09 (define @t575 () (@list @t52 @t187 @t533)) % 0.76/1.09 (define @t576 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t554 @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t577 () (forall (@list @t16 @t537) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t555)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t537 tptp.tc_Lambda_OdB))))) % 0.76/1.09 (define @t578 () (tptp.c_COMBC tptp.c_Lambda_Olift @t59 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t579 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t573 @t537 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t576))) % 0.76/1.09 (define @t580 () (@list @t52 @t537 @t16 @t533)) % 0.76/1.09 (define @t581 () (@var "V_dB1_H" $$unsorted)) % 0.76/1.09 (define @t582 () (@var "V_dB2_H" $$unsorted)) % 0.76/1.09 (define @t583 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t581) @t582)) % 0.76/1.09 (define @t584 () (not (= @t403 @t583))) % 0.76/1.09 (define @t585 () (@list @t402 @t401 @t581 @t582)) % 0.76/1.09 (define @t586 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t189)))) % 0.76/1.09 (define @t587 () (@list @t189 @t71)) % 0.76/1.09 (define @t588 () (@var "V_Q" $$unsorted)) % 0.76/1.09 (define @t589 () (@var "V_R" $$unsorted)) % 0.76/1.09 (define @t590 () (tptp.c_List_Omap @t578 (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst tptp.v_u____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t570) tptp.v_i____ tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t591 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t590 tptp.tc_Lambda_OdB)) % 0.76/1.09 (define @t592 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar @t59) @t590 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.76/1.09 (define @t593 () (@var "T_1" $$unsorted)) % 0.76/1.09 (define @t594 () (@var "T_2" $$unsorted)) % 0.76/1.09 (define @t595 () (tptp.tc_fun @t594 @t593)) % 0.76/1.09 (define @t596 () (@list @t594 @t593)) % 0.76/1.09 (define @t597 () (@var "V_Y" $$unsorted)) % 0.76/1.09 (define @t598 () (@var "V_X" $$unsorted)) % 0.76/1.09 (define @t599 () (not @t591)) % 0.76/1.09 (define @t600 () (or @t592 @t599)) % 0.76/1.09 (define @t601 () (not @t600)) % 0.76/1.09 (define @t602 () (@list true false)) % 0.76/1.09 (assume @p1 (forall (@list @t1 @t2 @t4) (or @t9 @t8 @t7 @t6))) % 0.76/1.09 (assume @p2 (forall @t15 (or @t14 (= @t11 @t10)))) % 0.76/1.09 (assume @p3 (forall @t15 (or @t14 (= @t13 @t12)))) % 0.76/1.09 (assume @p4 (forall @t18 (not (= @t17 @t16)))) % 0.76/1.09 (assume @p5 (forall @t18 (not (= @t16 @t17)))) % 0.76/1.09 (assume @p6 (forall @t26 (or @t25 (tptp.c_lessequals @t23 @t19 @t1) @t24 @t22))) % 0.76/1.09 (assume @p7 (forall @t26 (or @t25 @t29 @t24 @t28))) % 0.76/1.09 (assume @p8 (forall @t26 (or @t25 @t29 @t30 @t22))) % 0.76/1.09 (assume @p9 (forall @t35 (or @t34 (tptp.c_lessequals @t19 @t23 @t1) @t33 @t32))) % 0.76/1.09 (assume @p10 (forall @t37 (or @t25 @t36))) % 0.76/1.09 (assume @p11 (forall @t37 (or @t34 @t36))) % 0.76/1.09 (assume @p12 (forall @t35 (or @t34 @t39 @t38 @t32))) % 0.76/1.09 (assume @p13 (forall @t35 (or @t34 @t39 @t33 @t41))) % 0.76/1.09 (assume @p14 (forall (@list @t1 @t47 @t43 @t48 @t42) (or @t51 (tptp.c_lessequals @t47 @t50 @t1) @t49 (not (tptp.c_lessequals @t47 @t46 @t1))))) % 0.76/1.09 (assume @p15 (forall @t56 (or @t55 (not @t54)))) % 0.76/1.09 (assume @p16 (forall @t56 (or @t58 @t57))) % 0.76/1.09 (assume @p17 (forall @t18 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t16 @t62 tptp.tc_nat)) @t16) @t61))) % 0.76/1.09 (assume @p18 (forall @t69 (or @t51 @t68 @t65 @t22))) % 0.76/1.09 (assume @p19 (forall @t69 (or @t51 @t68 @t21 (not @t65)))) % 0.76/1.09 (assume @p20 (forall @t69 (or @t51 @t68 @t70 @t41))) % 0.76/1.09 (assume @p21 (forall @t69 (or @t51 @t68 @t40 (not @t70)))) % 0.76/1.09 (assume @p22 (forall (@list @t16 @t71) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t16 @t72 tptp.tc_nat) @t16 tptp.tc_nat) @t61))) % 0.76/1.09 (assume @p23 (forall @t76 (or @t25 @t75 @t74 @t73))) % 0.76/1.09 (assume @p24 (forall @t76 (or @t25 @t75 @t73 @t74))) % 0.76/1.09 (assume @p25 (forall @t78 (or @t25 @t77 @t40 @t32))) % 0.76/1.09 (assume @p26 (forall @t78 (or @t25 @t40 @t77 @t32))) % 0.76/1.09 (assume @p27 (forall @t82 (or @t25 @t81 @t74 @t80))) % 0.76/1.09 (assume @p28 (forall @t82 (or @t25 @t81 @t80 @t74))) % 0.76/1.09 (assume @p29 (forall @t78 (or @t9 @t77 @t32 @t40))) % 0.76/1.09 (assume @p30 (forall @t78 (or @t9 @t77 @t40 @t32))) % 0.76/1.09 (assume @p31 (forall @t83 (or @t9 @t21 @t31))) % 0.76/1.09 (assume @p32 (forall @t18 (or (= @t86 @t16) @t61))) % 0.76/1.09 (assume @p33 (forall @t18 (or (= @t16 @t86) @t61))) % 0.76/1.09 (assume @p34 (forall @t56 (or (= @t91 (tptp.c_Suc (tptp.hAPP (tptp.hAPP @t89 @t88) @t16))) @t87))) % 0.76/1.09 (assume @p35 (forall @t82 (or @t51 @t81 (not @t94)))) % 0.76/1.09 (assume @p36 (forall @t82 (or @t51 @t94 @t95))) % 0.76/1.09 (assume @p37 (forall @t82 (or @t101 (tptp.c_lessequals @t92 @t100 @t1) @t98 @t97))) % 0.76/1.09 (assume @p38 (forall @t105 (or @t101 @t104 @t104 @t103))) % 0.76/1.09 (assume @p39 (forall @t109 (or @t108 @t107 @t97))) % 0.76/1.09 (assume @p40 (forall @t109 (or @t108 @t96 (not @t107)))) % 0.76/1.09 (assume @p41 (forall @t115 (or @t114 @t113 @t112 @t110 @t97))) % 0.76/1.09 (assume @p42 (forall @t115 (or @t114 @t113 @t112 @t73 (not (tptp.c_lessequals @t92 @t42 @t1))))) % 0.76/1.09 (assume @p43 (forall @t78 (or @t101 @t120 @t117 @t116 (= @t20 @t92)))) % 0.76/1.09 (assume @p44 (forall @t78 (or @t101 @t120 @t117 @t116 (= @t19 @t92)))) % 0.76/1.09 (assume @p45 (forall @t109 (or @t108 @t123 @t122))) % 0.76/1.09 (assume @p46 (forall @t109 (or @t108 @t121 (not @t123)))) % 0.76/1.09 (assume @p47 (forall @t82 (or @t101 (tptp.c_lessequals @t100 @t92 @t1) @t124 @t122))) % 0.76/1.09 (assume @p48 (forall @t127 (or @t126 @t125 @t49 @t95))) % 0.76/1.09 (assume @p49 (forall @t127 (or @t126 @t125 @t128 @t80))) % 0.76/1.09 (assume @p50 (forall @t105 (or @t130 (tptp.c_lessequals @t92 @t129 @t1)))) % 0.76/1.09 (assume @p51 (forall @t105 (or @t130 (not (tptp.c_lessequals @t129 @t92 @t1))))) % 0.76/1.09 (assume @p52 (forall @t132 (or @t130 (tptp.c_lessequals @t92 @t131 @t1)))) % 0.76/1.09 (assume @p53 (forall @t134 (or @t130 (tptp.c_lessequals @t92 @t133 @t1)))) % 0.76/1.09 (assume @p54 (forall @t136 (tptp.c_HOL_Oord__class_Oless @t59 @t135 tptp.tc_nat))) % 0.76/1.09 (assume @p55 (forall @t18 (tptp.c_HOL_Oord__class_Oless @t59 @t17 tptp.tc_nat))) % 0.76/1.09 (assume @p56 (forall @t18 (or @t137 (not (tptp.c_HOL_Oord__class_Oless @t16 @t62 tptp.tc_nat))))) % 0.76/1.09 (assume @p57 (tptp.c_HOL_Oord__class_Oless @t59 @t62 tptp.tc_nat)) % 0.76/1.09 (assume @p58 (forall (@list @t138 @t47 @t43) (or (tptp.hBOOL (tptp.hAPP @t138 @t59)) (not (tptp.c_HOL_Oord__class_Oless @t47 @t43 tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_HOL_Ominus__class_Ominus @t47 @t43 tptp.tc_nat))))))) % 0.76/1.09 (assume @p59 (forall @t56 (or @t55 (not @t140)))) % 0.76/1.09 (assume @p60 (forall @t141 (or @t140 @t57))) % 0.76/1.09 (assume @p61 (forall @t56 (or (tptp.c_HOL_Oord__class_Oless @t144 @t52 tptp.tc_nat) @t143 @t61))) % 0.76/1.09 (assume @p62 (forall @t147 (or @t130 (tptp.c_lessequals @t146 @t145 @t1) @t97 @t80))) % 0.76/1.09 (assume @p63 (forall @t148 (or @t130 (tptp.c_lessequals @t92 @t146 @t1) @t97))) % 0.76/1.09 (assume @p64 (forall @t134 (or @t150 @t149 (= (tptp.c_Power_Opower__class_Opower @t92 @t17 @t1) @t92)))) % 0.76/1.09 (assume @p65 (forall @t56 (or @t152 @t87 @t151))) % 0.76/1.09 (assume @p66 (forall @t56 (or @t152 @t153 @t137))) % 0.76/1.09 (assume @p67 (forall @t56 (or @t154 @t87 @t151))) % 0.76/1.09 (assume @p68 (forall @t56 (or @t154 @t153 @t137))) % 0.76/1.09 (assume @p69 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t156 tptp.tc_nat) @t59))) % 0.76/1.09 (assume @p70 (= @t62 @t158)) % 0.76/1.09 (assume @p71 (= @t159 @t62)) % 0.76/1.09 (assume @p72 (forall @t56 (or @t154 @t153 @t151))) % 0.76/1.09 (assume @p73 (forall @t56 (or @t154 @t87 @t137))) % 0.76/1.09 (assume @p74 (= @t62 @t159)) % 0.76/1.09 (assume @p75 (= @t158 @t62)) % 0.76/1.09 (assume @p76 (forall @t56 (or @t152 @t153 @t151))) % 0.76/1.09 (assume @p77 (forall @t56 (or @t152 @t87 @t137))) % 0.76/1.09 (assume @p78 (forall @t161 (tptp.c_HOL_Oord__class_Oless @t71 (tptp.c_Suc (tptp.hAPP @t160 @t52)) tptp.tc_nat))) % 0.76/1.09 (assume @p79 (forall @t161 (tptp.c_HOL_Oord__class_Oless @t71 (tptp.c_Suc (tptp.hAPP @t90 @t71)) tptp.tc_nat))) % 0.76/1.09 (assume @p80 (forall (@list @t52 @t19) (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_Suc (tptp.hAPP @t90 @t19)) tptp.tc_nat))) % 0.76/1.09 (assume @p81 (forall @t167 (or @t166 (not @t164)))) % 0.76/1.09 (assume @p82 (forall @t168 (or @t164 (not @t166)))) % 0.76/1.09 (assume @p83 (forall @t141 (or (= (tptp.hAPP @t155 @t144) @t52) @t55))) % 0.76/1.09 (assume @p84 (forall @t148 (or @t130 (tptp.c_lessequals @t129 @t146 @t1) (not (tptp.c_lessequals @t129 @t47 @t1))))) % 0.76/1.09 (assume @p85 (= @t84 @t62)) % 0.76/1.09 (assume @p86 (forall @t175 (or (= @t174 (tptp.c_List_Olist_OCons @t19 (tptp.c_List_Otake @t172 @t171 @t1) @t1)) @t170))) % 0.76/1.09 (assume @p87 (forall @t18 (= @t17 (tptp.hAPP @t155 @t84)))) % 0.76/1.09 (assume @p88 (forall @t18 (= @t17 (tptp.hAPP (tptp.hAPP @t89 @t84) @t16)))) % 0.76/1.09 (assume @p89 (forall @t177 (= (tptp.c_List_Otake @t17 @t173 @t1) (tptp.c_List_Olist_OCons @t19 @t176 @t1)))) % 0.76/1.09 (assume @p90 (forall @t182 (or (= @t181 @t180) @t179))) % 0.76/1.09 (assume @p91 (forall (@list @t19 @t171 @t1 @t71 @t20) (= (tptp.c_List_Olist__update @t173 @t72 @t20 @t1) (tptp.c_List_Olist_OCons @t19 @t183 @t1)))) % 0.76/1.09 (assume @p92 (forall (@list @t188 @t187 @t189 @t184 @t185) (or (tptp.c_Type_Otyping @t188 @t191 @t184) (not (tptp.c_Type_Otyping @t188 @t189 @t185)) (not (tptp.c_Type_Otyping @t188 @t187 @t186))))) % 0.76/1.09 (assume @p93 (forall (@list @t192 @t71 @t184 @t1 @t185) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t192 @t71 @t184 @t1) @t59 @t185 @t1) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t192 @t59 @t185 @t1) @t72 @t184 @t1)))) % 0.76/1.09 (assume @p94 (forall (@list @t1 @t4 @t2) (or @t9 @t8 (not @t6) (not @t7)))) % 0.76/1.09 (assume @p95 (forall @t195 (or @t130 @t79 @t98 (not (tptp.c_lessequals @t194 @t193 @t1))))) % 0.76/1.09 (assume @p96 (forall @t201 (or @t200 @t199 @t80))) % 0.76/1.09 (assume @p97 (forall @t203 (or @t200 @t202 @t80))) % 0.76/1.09 (assume @p98 (forall @t204 (or @t114 @t79 (not @t199)))) % 0.76/1.09 (assume @p99 (forall @t201 (or @t114 @t199 @t80))) % 0.76/1.09 (assume @p100 (forall @t204 (or @t114 @t79 (not @t202)))) % 0.76/1.09 (assume @p101 (forall @t203 (or @t114 @t202 @t80))) % 0.76/1.09 (assume @p102 (forall @t167 (or (tptp.c_HOL_Oord__class_Oless @t72 @t162 tptp.tc_nat) @t206 @t205))) % 0.76/1.09 (assume @p103 (forall @t136 @t207)) % 0.76/1.09 (assume @p104 (forall @t18 (tptp.c_HOL_Oord__class_Oless @t16 @t17 tptp.tc_nat))) % 0.76/1.09 (assume @p105 (forall @t78 (or @t34 @t31 @t41))) % 0.76/1.09 (assume @p106 (forall @t78 (or @t25 @t31 @t41))) % 0.76/1.09 (assume @p107 (forall @t82 (or @t51 @t208 @t80))) % 0.76/1.09 (assume @p108 (forall @t82 (or @t51 @t79 (not @t208)))) % 0.76/1.09 (assume @p109 (forall @t78 (or @t25 @t77 @t32 @t22))) % 0.76/1.09 (assume @p110 (forall @t78 (or @t25 @t77 @t22 @t32))) % 0.76/1.09 (assume @p111 (forall @t78 (or @t34 @t40 @t21 @t32))) % 0.76/1.09 (assume @p112 (forall (@list @t163 @t16 @t162) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t163 @t16 tptp.tc_nat) @t162 tptp.tc_nat) @t206))) % 0.76/1.09 (assume @p113 (forall @t141 (or (= @t16 @t52) @t211 @t209))) % 0.76/1.09 (assume @p114 (forall @t56 (or @t212 @t211 @t209))) % 0.76/1.09 (assume @p115 (forall @t56 (or @t212 @t55 (not @t58)))) % 0.76/1.09 (assume @p116 (forall @t56 (= (tptp.c_HOL_Ominus__class_Ominus @t53 @t17 tptp.tc_nat) @t144))) % 0.76/1.09 (assume @p117 (forall @t217 (or (not (= (tptp.c_Suc @t214) @t216)) @t215))) % 0.76/1.09 (assume @p118 (forall (@list @t19 @t20) (or (not (= @t135 (tptp.c_Suc @t20))) @t77))) % 0.76/1.09 (assume @p119 (forall (@list @t16 @t189 @t162) (= (tptp.c_Lambda_Oliftn @t17 @t189 @t162) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t218) @t162)))) % 0.76/1.09 (assume @p120 (forall (@list @t219 @t16 @t52) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t219 @t16 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t219 @t52 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t52 @t219 tptp.tc_nat)) @t57))) % 0.76/1.09 (assume @p121 (forall @t18 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t84 tptp.tc_nat) @t16))) % 0.76/1.09 (assume @p122 (forall @t56 (= @t221 @t220))) % 0.76/1.09 (assume @p123 (forall @t56 (= @t222 @t220))) % 0.76/1.09 (assume @p124 (forall @t82 (or @t223 (= (tptp.hAPP (tptp.hAPP @t44 @t93) @t43) @t47)))) % 0.76/1.09 (assume @p125 (forall (@list @t138 @t43 @t19) (or (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t224 @t19) @t43 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t138 @t19))))) % 0.76/1.09 (assume @p126 (forall (@list @t138 @t43 @t48) (or (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t224 @t48) @t43 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t138 @t48))))) % 0.76/1.09 (assume @p127 (forall @t127 (or @t200 (tptp.c_lessequals @t111 @t50 @t1) @t49 @t80))) % 0.76/1.09 (assume @p128 (forall @t56 (tptp.c_HOL_Oord__class_Oless @t144 @t53 tptp.tc_nat))) % 0.76/1.09 (assume @p129 (forall @t78 (or @t9 @t40 @t21))) % 0.76/1.09 (assume @p130 (forall @t37 (or @t9 (not @t36) @t226))) % 0.76/1.09 (assume @p131 (forall @t37 (or @t9 @t225 @t36))) % 0.76/1.09 (assume @p132 (forall @t78 (or @t9 @t41 @t22))) % 0.76/1.09 (assume @p133 (forall @t83 (or @t9 @t21 @t40))) % 0.76/1.09 (assume @p134 (forall @t78 (or @t9 @t32 @t28))) % 0.76/1.09 (assume @p135 (forall @t83 (or @t9 @t27 @t31))) % 0.76/1.09 (assume @p136 (forall @t83 (or @t34 @t22 @t41))) % 0.76/1.09 (assume @p137 (forall (@list @t1 @t227 @t16 @t71) (or @t228 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t227 @t17 @t71 @t1) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t227 @t16 (tptp.hAPP @t227 @t71) @t1))))) % 0.76/1.09 (assume @p138 (forall @t168 (= @t231 (tptp.c_HOL_Ominus__class_Ominus @t71 @t230 tptp.tc_nat)))) % 0.76/1.09 (assume @p139 (forall (@list @t1 @t232 @t20 @t19) (or @t234 (not (= (tptp.c_HOL_Ominus__class_Ominus @t232 @t20 @t1) @t233)) (= @t232 @t20)))) % 0.76/1.09 (assume @p140 (forall (@list @t1 @t19 @t63 @t64) (or @t234 (not (= @t233 @t66)) (= @t63 @t64)))) % 0.76/1.09 (assume @p141 (forall @t56 (= @t221 @t222))) % 0.76/1.09 (assume @p142 (forall @t78 (or (not (tptp.class_Int_Oring__char__0 @t1)) @t235 (not (= (tptp.c_Int_Onumber__class_Onumber__of @t19 @t1) (tptp.c_Int_Onumber__class_Onumber__of @t20 @t1))) @t77))) % 0.76/1.09 (assume @p143 (forall @t238 (= (tptp.c_HOL_Ominus__class_Ominus @t237 @t236 tptp.tc_nat) @t144))) % 0.76/1.09 (assume @p144 (forall @t242 (= (tptp.c_HOL_Ominus__class_Ominus @t241 @t240 tptp.tc_nat) @t144))) % 0.76/1.09 (assume @p145 (forall (@list @t2) (or (= @t169 (tptp.c_Suc @t172)) (not (tptp.c_HOL_Oord__class_Oless @t59 @t169 tptp.tc_nat))))) % 0.76/1.09 (assume @p146 (forall @t168 (= @t231 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t71 @t162 tptp.tc_nat) @t163 tptp.tc_nat)))) % 0.76/1.09 (assume @p147 (forall @t56 (or @t54 (= @t53 @t16) @t57))) % 0.76/1.09 (assume @p148 (forall @t244 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t53 @t16 tptp.tc_nat) @t243 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t144 @t162 tptp.tc_nat)))) % 0.76/1.09 (assume @p149 (forall @t56 (= (tptp.c_HOL_Ominus__class_Ominus @t52 @t17 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t88 @t16 tptp.tc_nat)))) % 0.76/1.09 (assume @p150 (forall @t136 (or @t245 @t207))) % 0.76/1.09 (assume @p151 (forall @t56 (or @t57 @t211))) % 0.76/1.09 (assume @p152 (forall @t141 (or @t210 @t55))) % 0.76/1.09 (assume @p153 (forall @t147 (or @t130 (not (= @t194 @t193)) @t74 @t98 @t97))) % 0.76/1.09 (assume @p154 (forall @t56 (= (tptp.c_HOL_Ominus__class_Ominus @t91 @t16 tptp.tc_nat) @t52))) % 0.76/1.09 (assume @p155 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t156 @t16 tptp.tc_nat) @t52))) % 0.76/1.09 (assume @p156 (forall @t82 (or @t223 (= (tptp.c_HOL_Ominus__class_Ominus @t100 @t43 @t1) @t47)))) % 0.76/1.09 (assume @p157 (forall (@list @t19 @t16) (or (tptp.c_HOL_Oord__class_Oless @t135 @t17 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t19 @t16 tptp.tc_nat))))) % 0.76/1.09 (assume @p158 (forall @t56 (or @t55 (not @t246)))) % 0.76/1.09 (assume @p159 (forall @t56 (or @t246 @t57))) % 0.76/1.09 (assume @p160 (forall @t37 (or @t248 @t235 @t247))) % 0.76/1.09 (assume @p161 (forall @t109 (or @t223 (= (tptp.c_HOL_Ominus__class_Ominus @t47 @t47 @t1) @t92)))) % 0.76/1.09 (assume @p162 (forall @t109 (or @t223 (= (tptp.c_HOL_Ominus__class_Ominus @t47 @t92 @t1) @t47)))) % 0.76/1.09 (assume @p163 (forall @t37 (or @t223 @t247))) % 0.76/1.09 (assume @p164 (forall @t37 (or @t234 @t247))) % 0.76/1.09 (assume @p165 (forall @t78 (or @t248 @t235 (not (= @t67 @t92)) @t77))) % 0.76/1.09 (assume @p166 (forall @t82 (or @t223 @t249 @t74))) % 0.76/1.09 (assume @p167 (forall @t82 (or @t234 @t249 @t74))) % 0.76/1.09 (assume @p168 (forall (@list @t1 @t227 @t71) (or @t228 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t227 @t59 @t71 @t1) @t71)))) % 0.76/1.09 (assume @p169 (forall (@list @t189 @t162) (= (tptp.c_Lambda_Oliftn @t59 @t189 @t162) @t189))) % 0.76/1.09 (assume @p170 (forall @t250 (not (= @t53 @t59)))) % 0.76/1.09 (assume @p171 (forall @t251 (not (= @t216 @t59)))) % 0.76/1.09 (assume @p172 (forall @t141 (or (not (= @t139 @t59)) (not (= @t144 @t59)) @t212))) % 0.76/1.09 (assume @p173 (forall @t250 (= (tptp.c_HOL_Ominus__class_Ominus @t52 @t59 tptp.tc_nat) @t52))) % 0.76/1.09 (assume @p174 (forall @t250 (= (tptp.c_HOL_Ominus__class_Ominus @t52 @t52 tptp.tc_nat) @t59))) % 0.76/1.09 (assume @p175 (forall @t250 (not (= @t59 @t53)))) % 0.76/1.09 (assume @p176 (forall @t251 (not (= @t59 @t216)))) % 0.76/1.09 (assume @p177 (forall @t18 (= (tptp.c_HOL_Ominus__class_Ominus @t59 @t16 tptp.tc_nat) @t59))) % 0.76/1.09 (assume @p178 (forall (@list @t16 @t187 @t189 @t162) (= (tptp.c_Lambda_Oliftn @t16 @t191 @t162) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t16 @t187 @t162)) @t218)))) % 0.76/1.09 (assume @p179 (forall @t82 (or @t101 @t254 @t124 @t253))) % 0.76/1.09 (assume @p180 (forall @t82 (or @t101 @t254 @t255 @t122))) % 0.76/1.09 (assume @p181 (forall @t115 (or @t114 @t113 @t258 @t110 @t257))) % 0.76/1.09 (assume @p182 (forall @t115 (or @t114 @t113 @t258 @t259 @t97))) % 0.76/1.09 (assume @p183 (forall @t82 (or @t101 @t261 @t260 @t97))) % 0.76/1.09 (assume @p184 (forall @t82 (or @t101 @t261 @t98 @t257))) % 0.76/1.09 (assume @p185 (forall @t195 (or @t130 @t81 @t98 (not @t262)))) % 0.76/1.09 (assume @p186 (forall @t148 (or @t130 (tptp.c_HOL_Oord__class_Oless @t129 @t194 @t1) @t263))) % 0.76/1.09 (assume @p187 (forall @t132 (or @t228 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t53 @t1) (tptp.hAPP @t264 @t131))))) % 0.76/1.09 (assume @p188 (forall @t182 (or (= @t181 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t160 @t16))) @t178))) % 0.76/1.09 (assume @p189 (forall (@list @t16 @t187 @t162) (= (tptp.c_Lambda_Oliftn @t16 @t266 @t162) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t16 @t187 @t265))))) % 0.76/1.09 (assume @p190 (forall @t269 (or (= @t268 (tptp.hAPP @t192 @t267)) @t205))) % 0.76/1.09 (assume @p191 (forall (@list @t189 @t187 @t16) (= (tptp.c_Lambda_Osubstn @t189 @t187 @t16) (tptp.hAPP (tptp.hAPP @t270 (tptp.c_Lambda_Oliftn @t16 @t187 @t59)) @t16)))) % 0.76/1.09 (assume @p192 (forall @t148 (or @t130 (tptp.c_HOL_Oord__class_Oless @t194 @t129 @t1) @t271 @t257))) % 0.76/1.09 (assume @p193 (forall @t134 (or @t272 (= (tptp.c_Power_Opower__class_Opower @t129 @t16 @t1) @t129)))) % 0.76/1.09 (assume @p194 (forall @t275 (or (= @t274 (tptp.c_Lambda_OdB_OVar @t273)) @t178))) % 0.76/1.09 (assume @p195 (forall (@list @t1 @t19 @t20 @t23 @t276) (or @t234 (not (= @t279 (tptp.hAPP @t278 @t276))) (= @t277 @t276)))) % 0.76/1.09 (assume @p196 (forall @t141 (or @t60 @t142 (not @t280)))) % 0.76/1.09 (assume @p197 (forall @t204 (or @t285 @t284))) % 0.76/1.09 (assume @p198 (forall @t288 (or @t285 (= @t287 (tptp.hAPP @t196 (tptp.hAPP @t99 @t48)))))) % 0.76/1.09 (assume @p199 (forall @t204 (or @t285 (= @t283 (tptp.hAPP @t289 @t43))))) % 0.76/1.09 (assume @p200 (forall @t288 (or @t285 (= @t287 (tptp.hAPP @t289 @t48))))) % 0.76/1.09 (assume @p201 (forall @t204 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t284))) % 0.76/1.09 (assume @p202 (forall @t204 (or @t113 (= @t281 (tptp.hAPP @t45 @t111))))) % 0.76/1.09 (assume @p203 (forall @t204 (or @t113 @t284))) % 0.76/1.09 (assume @p204 (forall @t244 (= (tptp.hAPP (tptp.hAPP @t89 @t91) @t162) (tptp.hAPP @t90 @t236)))) % 0.76/1.09 (assume @p205 (forall @t294 (= (tptp.hAPP @t290 @t293) (tptp.hAPP @t292 @t291)))) % 0.76/1.09 (assume @p206 (forall @t295 (or @t234 (= @t279 (tptp.hAPP @t278 @t277))))) % 0.76/1.09 (assume @p207 (forall @t295 (or @t285 (= @t279 (tptp.hAPP (tptp.hAPP @t44 @t119) @t23))))) % 0.76/1.09 (assume @p208 (forall @t26 (or @t25 @t29 @t30 @t28))) % 0.76/1.09 (assume @p209 (forall @t35 (or @t34 @t39 @t38 @t41))) % 0.76/1.09 (assume @p210 (forall (@list @t19 @t1 @t171) (or (not (= @t297 @t299)) @t298))) % 0.76/1.09 (assume @p211 (forall (@list @t302 @t301 @t171 @t1 @t19) (or @t304 (tptp.c_ListOrder_Ostep1 @t302 (tptp.c_List_Oappend @t301 @t19 @t1) @t300 @t1)))) % 0.76/1.09 (assume @p212 (forall (@list @t302 @t19 @t306 @t1 @t305) (or (tptp.c_ListOrder_Ostep1 @t302 (tptp.c_List_Oappend @t19 @t306 @t1) (tptp.c_List_Oappend @t19 @t305 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t302 @t306 @t305 @t1))))) % 0.76/1.09 (assume @p213 (forall @t307 (= (tptp.c_List_Otake @t84 @t173 @t1) @t297))) % 0.76/1.09 (assume @p214 (forall (@list @t187 @t308) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 @t266) (tptp.c_Lambda_OdB_OAbs @t308))) @t310))) % 0.76/1.09 (assume @p215 (forall (@list @t312 @t171 @t1 @t301) (or @t315 @t314))) % 0.76/1.09 (assume @p216 (forall (@list @t312 @t301 @t1 @t171) (or @t316 @t314))) % 0.76/1.09 (assume @p217 (forall @t323 (= (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t320 @t1) @t319))) % 0.76/1.09 (assume @p218 (forall (@list @t19 @t20 @t171 @t301 @t302 @t1) (or @t77 @t326 @t325))) % 0.76/1.09 (assume @p219 (forall (@list @t302 @t20 @t232 @t19 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t327 @t232))) (tptp.c_ListOrder_Ostep1 @t302 (tptp.c_List_Olist_OCons @t20 @t19 @t1) (tptp.c_List_Olist_OCons @t232 @t19 @t1) @t1)))) % 0.76/1.09 (assume @p220 (forall (@list @t312 @t1) (tptp.c_List_Olistsp @t312 @t296 @t1))) % 0.76/1.09 (assume @p221 (forall (@list @t301 @t171 @t1 @t328) (or (not (= (tptp.c_List_Oappend @t301 @t171 @t1) (tptp.c_List_Oappend @t328 @t171 @t1))) @t329))) % 0.76/1.09 (assume @p222 (forall @t330 (or (not (= @t311 (tptp.c_List_Oappend @t171 @t328 @t1))) @t329))) % 0.76/1.09 (assume @p223 (forall (@list @t302 @t1 @t47) (tptp.hBOOL (tptp.hAPP @t332 @t47)))) % 0.76/1.09 (assume @p224 (forall (@list @t302 @t1 @t19) (tptp.hBOOL (tptp.hAPP @t333 @t19)))) % 0.76/1.09 (assume @p225 (forall (@list @t302 @t1 @t19 @t23 @t20) (or (tptp.hBOOL (tptp.hAPP @t333 @t23)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t331 @t20) @t23))) (not @t334)))) % 0.76/1.09 (assume @p226 (forall (@list @t16 @t1) (= (tptp.c_List_Otake @t16 @t296 @t1) @t296))) % 0.76/1.09 (assume @p227 (forall @t342 (or @t341 @t339 @t337 @t335))) % 0.76/1.09 (assume @p228 (forall @t344 (= @t343 @t171))) % 0.76/1.09 (assume @p229 (forall @t345 (= @t19 (tptp.c_List_Oappend @t296 @t19 @t1)))) % 0.76/1.09 (assume @p230 (forall @t344 (= @t171 @t343))) % 0.76/1.09 (assume @p231 (forall (@list @t1 @t301) (= @t346 @t301))) % 0.76/1.09 (assume @p232 (forall @t347 (= @t301 @t346))) % 0.76/1.09 (assume @p233 (forall @t351 (or @t350 @t348))) % 0.76/1.09 (assume @p234 (forall @t344 (= @t171 @t352))) % 0.76/1.09 (assume @p235 (forall @t347 (= (tptp.c_List_Orev @t353 @t1) @t301))) % 0.76/1.09 (assume @p236 (forall @t344 (= @t352 @t171))) % 0.76/1.09 (assume @p237 (forall (@list @t1 @t47 @t354 @t16) (or @t130 (tptp.c_HOL_Oord__class_Oless @t356 @t146 @t1) @t271 @t257 @t355))) % 0.76/1.09 (assume @p238 (forall @t294 (or @t359 @t358))) % 0.76/1.09 (assume @p239 (forall @t294 (or @t359 (not (tptp.c_HOL_Oord__class_Oless @t19 @t23 tptp.tc_nat))))) % 0.76/1.09 (assume @p240 (forall @t167 (or @t178 (not (tptp.c_HOL_Oord__class_Oless @t360 @t162 tptp.tc_nat))))) % 0.76/1.09 (assume @p241 (forall (@list @t71 @t163 @t52) (or (tptp.c_HOL_Oord__class_Oless @t71 (tptp.hAPP @t229 @t52) tptp.tc_nat) @t205))) % 0.76/1.09 (assume @p242 (forall (@list @t71 @t52 @t163) (or (tptp.c_HOL_Oord__class_Oless @t71 (tptp.hAPP @t90 @t163) tptp.tc_nat) @t205))) % 0.76/1.09 (assume @p243 (forall @t362 (= (tptp.c_Lambda_Osubstn @t361 @t187 @t162) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t189 @t187 @t265))))) % 0.76/1.09 (assume @p244 (forall (@list @t1 @t47 @t42) (or @t285 (= @t111 @t198)))) % 0.76/1.09 (assume @p245 (forall @t82 (or @t113 (= @t100 @t363)))) % 0.76/1.09 (assume @p246 (forall @t56 (= @t91 @t156))) % 0.76/1.09 (assume @p247 (forall (@list @t52 @t219 @t162 @t16) (or (not (= (tptp.hAPP @t90 @t219) @t240)) @t364 @t55))) % 0.76/1.09 (assume @p248 (forall @t78 (or @t285 (= @t119 (tptp.hAPP @t278 @t19))))) % 0.76/1.09 (assume @p249 (forall (@list @t302 @t20 @t19 @t301 @t1 @t171) (or @t370 @t369 @t368))) % 0.76/1.09 (assume @p250 (forall @t371 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t131 @t133)) @t212))) % 0.76/1.09 (assume @p251 (forall (@list @t171 @t1 @t19) (or (not (= @t299 @t297)) @t298))) % 0.76/1.09 (assume @p252 (forall @t377 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 @t376) @t374)) @t372))) % 0.76/1.09 (assume @p253 (forall @t351 (or @t350 @t372))) % 0.76/1.09 (assume @p254 (forall (@list @t379 @t378 @t382 @t1 @t381 @t19) (= @t384 @t380))) % 0.76/1.09 (assume @p255 (forall (@list @t47 @t43 @t2 @t381 @t382 @t1) (= @t386 (tptp.hAPP @t385 @t2)))) % 0.76/1.09 (assume @p256 (forall @t37 (or @t285 (= (tptp.c_Power_Opower__class_Opower @t19 @t84 @t1) @t19)))) % 0.76/1.09 (assume @p257 (forall @t109 (or @t272 (= (tptp.c_Power_Opower__class_Opower @t47 @t84 @t1) @t47)))) % 0.76/1.09 (assume @p258 (forall (@list @t302 @t1 @t19 @t20) (or @t334 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t302 @t19) @t20)))))) % 0.76/1.09 (assume @p259 (forall (@list @t302 @t1 @t171) (not (tptp.c_ListOrder_Ostep1 @t302 @t296 @t171 @t1)))) % 0.76/1.09 (assume @p260 (forall (@list @t302 @t171 @t1) (not (tptp.c_ListOrder_Ostep1 @t302 @t171 @t296 @t1)))) % 0.76/1.09 (assume @p261 (forall @t109 (or @t108 @t387 @t253))) % 0.76/1.09 (assume @p262 (forall @t109 (or @t108 @t252 @t388))) % 0.76/1.09 (assume @p263 (forall @t109 (or @t389 @t252 @t388))) % 0.76/1.09 (assume @p264 (forall @t109 (or @t389 @t387 @t253))) % 0.76/1.09 (assume @p265 (forall @t148 (or @t130 (tptp.c_HOL_Oord__class_Oless @t92 @t146 @t1) @t257))) % 0.76/1.09 (assume @p266 (forall @t393 (or @t392 (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t391) (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 @t138) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) @t390))) % 0.76/1.09 (assume @p267 (forall @t393 (or (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t395) (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__4 @t138) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) @t394 @t392))) % 0.76/1.09 (assume @p268 (forall (@list @t189 @t2 @t71 @t163 @t276) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t270 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t2) @t71)) (tptp.c_Suc @t163))) (tptp.hAPP (tptp.hAPP @t399 @t2) @t163)) @t71) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t398) @t2) @t163)) @t397))) % 0.76/1.09 (assume @p269 (forall @t147 (or @t130 @t262 @t61 @t97 @t95))) % 0.76/1.09 (assume @p270 (forall @t134 (or @t228 (= @t133 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (tptp.c_COMBC @t44 @t129 @t1 @t1 @t1) @t16 @t92 @t1))))) % 0.76/1.09 (assume @p271 (forall @t400 (= (tptp.c_Lambda_OdB_OdB__size @t320) (tptp.hAPP (tptp.hAPP @t89 (tptp.c_Lambda_OdB_OdB__size @t317)) @t62)))) % 0.76/1.09 (assume @p272 (forall @t404 (= (tptp.c_Lambda_OdB_OdB__size @t403) (tptp.hAPP (tptp.hAPP @t89 (tptp.hAPP (tptp.hAPP @t89 (tptp.c_Lambda_OdB_OdB__size @t402)) (tptp.c_Lambda_OdB_OdB__size @t401))) @t62)))) % 0.76/1.09 (assume @p273 (forall @t409 (or (= @t408 @t407) @t406))) % 0.76/1.09 (assume @p274 (forall @t411 (or @t245 (= (tptp.c_Lambda_Osubstn @t410 @t187 @t19) (tptp.c_Lambda_Oliftn @t19 @t187 @t59))))) % 0.76/1.09 (assume @p275 (forall @t400 (= (tptp.c_Nat_Osize__class_Osize @t320 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t89 (tptp.c_Nat_Osize__class_Osize @t317 tptp.tc_Lambda_OdB)) @t62)))) % 0.76/1.09 (assume @p276 (forall (@list @t188 @t189 @t185 @t184) (or (tptp.c_Type_Otyping @t188 @t361 @t186) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t188 @t59 @t185 tptp.tc_Type_Otype) @t189 @t184))))) % 0.76/1.09 (assume @p277 (forall @t404 (= (tptp.c_Nat_Osize__class_Osize @t403 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t89 (tptp.hAPP (tptp.hAPP @t89 (tptp.c_Nat_Osize__class_Osize @t402 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t401 tptp.tc_Lambda_OdB))) @t62)))) % 0.76/1.09 (assume @p278 (forall @t415 (or (tptp.c_Type_Otypings @t192 @t412 (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t185 @t192 @t189 @t412)) @t414))) % 0.76/1.09 (assume @p279 (forall @t415 (or (tptp.c_Type_Otypings @t192 @t412 (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t185 @t192 @t189 @t412)) @t414))) % 0.76/1.09 (assume @p280 (forall (@list @t189 @t71 @t162) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t418) @t243) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t417) @t71)) (not (tptp.c_HOL_Oord__class_Oless @t71 @t265 tptp.tc_nat))))) % 0.76/1.09 (assume @p281 (forall @t421 (or (= @t420 (tptp.c_Lambda_OdB_OVar @t267)) @t205))) % 0.76/1.09 (assume @p282 (forall @t409 (or (= @t422 @t407) @t406))) % 0.76/1.09 (assume @p283 (forall @t177 (or (= (tptp.c_List_Otake @t16 @t173 @t1) (tptp.c_List_Olist_OCons @t19 (tptp.c_List_Otake @t85 @t171 @t1) @t1)) @t137))) % 0.76/1.09 (assume @p284 (forall @t175 (or (not @t170) (= @t174 @t296)))) % 0.76/1.09 (assume @p285 (forall @t147 (or @t130 (not (= @t146 @t145)) @t74 @t61 @t98 @t97))) % 0.76/1.09 (assume @p286 (forall @t105 (or @t228 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t84 @t1) @t129)))) % 0.76/1.09 (assume @p287 (forall @t307 (= (tptp.c_List_Orev @t173 @t1) (tptp.c_List_Oappend @t299 @t297 @t1)))) % 0.76/1.09 (assume @p288 (forall (@list @t302 @t20 @t19 @t301 @t171 @t1) (or @t370 @t303 @t368))) % 0.76/1.09 (assume @p289 (forall @t345 (= @t423 @t297))) % 0.76/1.09 (assume @p290 (forall (@list @t171 @t1 @t20 @t301) (or (not (= @t299 @t324)) (= @t171 @t424)))) % 0.76/1.09 (assume @p291 (forall @t148 (or @t130 (tptp.c_HOL_Oord__class_Oless @t129 @t146 @t1) @t61 @t263))) % 0.76/1.09 (assume @p292 (forall @t428 (or (= @t427 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t418) @t426) @t396)) @t397))) % 0.76/1.09 (assume @p293 (forall @t82 (or @t101 @t254 @t255 @t253))) % 0.76/1.09 (assume @p294 (forall (@list @t19 @t232 @t1 @t328) (= @t431 @t429))) % 0.76/1.09 (assume @p295 (forall (@list @t19 @t171 @t1 @t301) (= (tptp.c_List_Oappend @t173 @t301 @t1) (tptp.c_List_Olist_OCons @t19 @t311 @t1)))) % 0.76/1.09 (assume @p296 (forall (@list @t187 @t189 @t432) (or (tptp.hBOOL (tptp.hAPP @t434 (tptp.hAPP @t190 @t432))) @t433))) % 0.76/1.09 (assume @p297 (forall (@list @t187 @t189 @t308) (or (tptp.hBOOL (tptp.hAPP @t434 (tptp.hAPP @t435 @t189))) @t310))) % 0.76/1.09 (assume @p298 (forall (@list @t16 @t171 @t1) (or (not (= @t176 @t296)) @t436 @t137))) % 0.76/1.09 (assume @p299 (forall @t342 (or @t439 @t339 @t337 @t335))) % 0.76/1.09 (assume @p300 (forall (@list @t1 @t162 @t19) (= (tptp.c_List_Olist__update @t296 @t162 @t19 @t1) @t296))) % 0.76/1.09 (assume @p301 (forall (@list @t1 @t71 @t20) (= (tptp.c_List_Olist__update @t296 @t71 @t20 @t1) @t296))) % 0.76/1.09 (assume @p302 (forall (@list @t1 @t71 @t2) (= (tptp.c_List_Olist__update @t296 @t71 @t2 @t1) @t296))) % 0.76/1.09 (assume @p303 (forall @t294 (or (not (= (tptp.hAPP @t290 @t20) @t291)) @t440))) % 0.76/1.09 (assume @p304 (forall @t238 (or (not (= @t237 @t236)) @t212))) % 0.76/1.09 (assume @p305 (forall @t242 (or (not (= @t241 @t240)) @t212))) % 0.76/1.09 (assume @p306 (forall @t295 (or @t248 @t235 (not (= @t119 @t277)) @t440))) % 0.76/1.09 (assume @p307 (forall @t204 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t442 @t441))) % 0.76/1.09 (assume @p308 (forall @t204 (or @t443 @t442 @t441))) % 0.76/1.09 (assume @p309 (forall @t115 (or @t443 (not (= @t363 @t198)) @t441))) % 0.76/1.09 (assume @p310 (forall (@list @t19 @t232 @t328 @t1) (= @t429 @t431))) % 0.76/1.09 (assume @p311 (forall (@list @t19 @t444 @t328 @t1) (= (tptp.c_List_Olist_OCons @t19 (tptp.c_List_Oappend @t444 @t328 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t19 @t444 @t1) @t328 @t1)))) % 0.76/1.09 (assume @p312 (forall (@list @t19 @t232 @t1) (not (= @t430 @t296)))) % 0.76/1.09 (assume @p313 (forall (@list @t446 @t445 @t1) (not (= @t447 @t296)))) % 0.76/1.09 (assume @p314 (forall (@list @t19 @t20 @t302 @t301 @t1 @t171) (or @t77 @t370 @t325))) % 0.76/1.09 (assume @p315 (forall (@list @t1 @t47 @t43 @t42 @t48) (or @t285 (= (tptp.hAPP @t282 @t286) (tptp.hAPP @t289 @t50))))) % 0.76/1.09 (assume @p316 (forall (@list @t187 @t189 @t308 @t432) (or (tptp.hBOOL (tptp.hAPP @t434 (tptp.hAPP @t435 @t432))) @t433 @t310))) % 0.76/1.09 (assume @p317 (forall (@list @t301 @t1 @t20) (= (tptp.c_List_Orev @t424 @t1) @t324))) % 0.76/1.09 (assume @p318 (forall @t132 (or @t130 (not (tptp.c_HOL_Oord__class_Oless @t131 @t92 @t1))))) % 0.76/1.09 (assume @p319 (forall @t450 (or @t449 @t448 @t433))) % 0.76/1.09 (assume @p320 (forall @t344 (or (not (= @t299 @t296)) @t436))) % 0.76/1.09 (assume @p321 (forall (@list @t19 @t189 @t1) (not (= (tptp.c_List_Olist_OCons @t19 @t189 @t1) @t189)))) % 0.76/1.09 (assume @p322 (forall (@list @t171 @t19 @t1) (not (= @t171 @t173)))) % 0.76/1.09 (assume @p323 (forall (@list @t19 @t171 @t1 @t20) (= (tptp.c_List_Olist__update @t173 @t59 @t20 @t1) (tptp.c_List_Olist_OCons @t20 @t171 @t1)))) % 0.76/1.09 (assume @p324 (forall @t342 (or @t439 @t452 @t451 @t335))) % 0.76/1.09 (assume @p325 (forall @t428 (or (= @t427 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP @t416 @t273)) @t426) @t163)) (not (tptp.c_HOL_Oord__class_Oless @t163 @t273 tptp.tc_nat))))) % 0.76/1.09 (assume @p326 (forall @t307 (= @t173 @t453))) % 0.76/1.09 (assume @p327 (forall @t345 (= @t297 @t423))) % 0.76/1.09 (assume @p328 (forall (@list @t454 @t276 @t184 @t71 @t189 @t185) (or (not (tptp.c_Type_Otyping @t454 @t276 @t184)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t454 @t71 @t184 tptp.tc_Type_Otype) @t189 @t185)) (tptp.c_Type_Otyping @t454 @t398 @t185)))) % 0.76/1.09 (assume @p329 (forall (@list @t301 @t171 @t302 @t1 @t20 @t19) (or @t455 @t303 @t368))) % 0.76/1.09 (assume @p330 (forall @t105 (or @t130 (tptp.c_HOL_Oord__class_Oless @t92 (tptp.hAPP @t264 @t129) @t1)))) % 0.76/1.09 (assume @p331 (forall @t105 (= @t296 @t456))) % 0.76/1.09 (assume @p332 (forall (@list @t302 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t331 @t1) @t331))) % 0.76/1.09 (assume @p333 (forall @t458 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t266) @t361)) @t457))) % 0.76/1.09 (assume @p334 (forall @t105 (= @t459 @t296))) % 0.76/1.09 (assume @p335 (forall @t460 (= (tptp.c_List_Orev @t311 @t1) (tptp.c_List_Oappend @t353 @t299 @t1)))) % 0.76/1.09 (assume @p336 (forall (@list @t461 @t47 @t462 @t1) (or (= (tptp.hAPP @t464 @t462) @t47) @t463))) % 0.76/1.09 (assume @p337 (forall (@list @t461 @t462 @t47 @t1) (or (= (tptp.hAPP (tptp.hAPP @t461 @t462) @t47) @t47) @t463))) % 0.76/1.09 (assume @p338 (forall @t56 (or @t280 @t61))) % 0.76/1.09 (assume @p339 (forall @t56 (or @t280 @t143))) % 0.76/1.09 (assume @p340 (forall @t109 (or @t108 @t256 (not @t465)))) % 0.76/1.09 (assume @p341 (forall @t109 (or @t108 @t465 @t257))) % 0.76/1.09 (assume @p342 (forall (@list @t171 @t162 @t19 @t1) (or (not (= (tptp.c_List_Olist__update @t171 @t162 @t19 @t1) @t296)) @t436))) % 0.76/1.09 (assume @p343 (forall @t342 (or @t341 @t339 @t451 @t335))) % 0.76/1.09 (assume @p344 (forall @t342 (or @t466 @t452 @t337 @t335))) % 0.76/1.09 (assume @p345 (forall @t342 (or @t466 @t339 @t451 @t335))) % 0.76/1.09 (assume @p346 (forall @t148 (or @t471 @t470 @t469 @t149 @t468 @t467))) % 0.76/1.09 (assume @p347 (forall @t148 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t468 @t467))) % 0.76/1.09 (assume @p348 (forall @t105 (or @t471 (not (= @t129 @t92))))) % 0.76/1.09 (assume @p349 (forall @t109 (or @t108 (not (= @t106 @t92)) @t467))) % 0.76/1.09 (assume @p350 (forall (@list @t1 @t19 @t47) (or @t248 @t235 (not (= @t19 (tptp.hAPP @t118 @t47))) @t467))) % 0.76/1.09 (assume @p351 (forall @t105 (or @t108 @t103))) % 0.76/1.09 (assume @p352 (forall @t105 (or @t471 (not (= @t92 @t129))))) % 0.76/1.09 (assume @p353 (forall @t37 (or @t285 (= (tptp.hAPP @t102 @t19) @t19)))) % 0.76/1.09 (assume @p354 (forall @t109 (or @t113 @t472))) % 0.76/1.09 (assume @p355 (forall @t37 (or @t248 @t235 (= @t19 (tptp.hAPP @t118 @t92))))) % 0.76/1.09 (assume @p356 (forall @t109 (or @t113 @t473))) % 0.76/1.09 (assume @p357 (forall @t109 (or @t474 @t472))) % 0.76/1.09 (assume @p358 (forall @t109 (or @t474 @t473))) % 0.76/1.09 (assume @p359 (forall @t109 (or @t285 @t473))) % 0.76/1.09 (assume @p360 (forall @t109 (or @t285 @t472))) % 0.76/1.09 (assume @p361 (forall @t105 (or @t150 @t149 (= (tptp.c_Power_Opower__class_Opower @t92 @t59 @t1) @t129)))) % 0.76/1.09 (assume @p362 (not (tptp.c_HOL_Oord__class_Oless @t59 @t59 tptp.tc_nat))) % 0.76/1.09 (assume @p363 (forall @t18 (or @t60 @t137))) % 0.76/1.09 (assume @p364 (forall @t56 (or @t475 @t137))) % 0.76/1.09 (assume @p365 (forall @t56 (or @t475 @t87))) % 0.76/1.09 (assume @p366 (forall (@list @t19 @t47) (or (not (= @t19 (tptp.hAPP @t290 @t47))) (= @t47 @t59)))) % 0.76/1.09 (assume @p367 (forall @t56 (or (not (= @t91 @t52)) @t137))) % 0.76/1.09 (assume @p368 (= (tptp.hAPP @t157 @t59) @t59)) % 0.76/1.09 (assume @p369 (forall @t250 (not (tptp.c_HOL_Oord__class_Oless @t52 @t59 tptp.tc_nat)))) % 0.76/1.09 (assume @p370 (forall @t18 (not (tptp.c_HOL_Oord__class_Oless @t16 @t59 tptp.tc_nat)))) % 0.76/1.09 (assume @p371 (forall @t136 (= @t19 (tptp.hAPP @t290 @t59)))) % 0.76/1.09 (assume @p372 (forall @t18 (= (tptp.hAPP @t157 @t16) @t16))) % 0.76/1.09 (assume @p373 (forall @t250 (= (tptp.hAPP @t90 @t59) @t52))) % 0.76/1.09 (assume @p374 (forall (@list @t402 @t401 @t476) (not (= @t403 @t477)))) % 0.76/1.09 (assume @p375 (forall (@list @t476 @t402 @t401) (not (= @t477 @t403)))) % 0.76/1.09 (assume @p376 (forall (@list @t138 @t322 @t321 @t318 @t479 @t478) (or (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t479) @t478) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t138 (tptp.hAPP (tptp.hAPP @t321 @t479) @t478)))))) % 0.76/1.09 (assume @p377 (forall (@list @t138 @t322 @t321 @t318 @t402 @t401) (or (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t403 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t138 @t480))))) % 0.76/1.09 (assume @p378 (forall @t481 (= (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t403 @t1) @t480))) % 0.76/1.09 (assume @p379 (forall @t481 (= (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t403 @t1) (tptp.hAPP (tptp.hAPP @t480 (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t402 @t1)) (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t401 @t1))))) % 0.76/1.09 (assume @p380 (forall (@list @t276 @t187 @t189) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t482 @t187)) (tptp.hAPP @t482 @t189))) @t457))) % 0.76/1.09 (assume @p381 (forall (@list @t187 @t276 @t189) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t190 @t276)) @t484)) @t457))) % 0.76/1.09 (assume @p382 (forall @t485 (= (tptp.c_Lambda_Osubstn @t484 @t187 @t162) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t189 @t187 @t162)) (tptp.c_Lambda_Osubstn @t276 @t187 @t162))))) % 0.76/1.09 (assume @p383 (forall @t489 (or (not (= @t488 @t296)) @t487))) % 0.76/1.09 (assume @p384 (forall (@list @t379 @t171 @t301 @t382 @t1) (= (tptp.c_List_Omap @t379 @t490 @t382 @t1) (tptp.c_List_Oappend @t488 (tptp.c_List_Omap @t379 @t301 @t382 @t1) @t1)))) % 0.76/1.09 (assume @p385 (forall (@list @t1 @t379 @t171 @t382) (or (not (= @t296 @t488)) @t487))) % 0.76/1.09 (assume @p386 (forall (@list @t192 @t19 @t185 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t192 @t19 @t185 @t1) @t19) @t185))) % 0.76/1.09 (assume @p387 (forall @t409 (or (= @t408 @t180) @t491 @t405))) % 0.76/1.09 (assume @p388 (forall @t105 (or @t130 (not (tptp.c_HOL_Oord__class_Oless @t129 @t92 @t1))))) % 0.76/1.09 (assume @p389 (forall @t493 (or @t492 @t436))) % 0.76/1.09 (assume @p390 (forall @t493 (or @t492 @t494))) % 0.76/1.09 (assume @p391 (forall (@list @t317 @t476) (or (not (= @t320 @t477)) (= @t317 @t476)))) % 0.76/1.09 (assume @p392 (forall @t460 (or @t495 @t436))) % 0.76/1.09 (assume @p393 (forall @t460 (or @t495 @t494))) % 0.76/1.09 (assume @p394 (forall @t342 (or @t341 @t452 @t337 @t335))) % 0.76/1.09 (assume @p395 (forall @t136 (not @t245))) % 0.76/1.09 (assume @p396 (forall @t18 (not (tptp.c_HOL_Oord__class_Oless @t16 @t16 tptp.tc_nat)))) % 0.76/1.09 (assume @p397 (forall @t37 (or @t25 @t226))) % 0.76/1.09 (assume @p398 (forall @t37 (or @t9 @t226))) % 0.76/1.09 (assume @p399 (forall @t37 (or @t34 @t226))) % 0.76/1.09 (assume @p400 (forall @t497 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 @t496) @t426)) @t372))) % 0.76/1.09 (assume @p401 (forall @t82 (or @t101 @t261 @t260 @t257))) % 0.76/1.09 (assume @p402 (forall @t498 (or @t303 @t326 @t325))) % 0.76/1.09 (assume @p403 (forall (@list @t461 @t47 @t43 @t42 @t1) (or (= (tptp.hAPP (tptp.hAPP @t461 (tptp.hAPP @t464 @t43)) @t42) (tptp.hAPP @t464 (tptp.hAPP (tptp.hAPP @t461 @t43) @t42))) @t499))) % 0.76/1.10 (assume @p404 (forall @t342 (or @t466 @t339 @t337 @t335))) % 0.76/1.10 (assume @p405 (forall @t83 (or @t389 @t27 @t40 @t77))) % 0.76/1.10 (assume @p406 (forall @t78 (or @t9 @t77 @t27 @t40))) % 0.76/1.10 (assume @p407 (forall @t141 (or @t209 @t55 @t212))) % 0.76/1.10 (assume @p408 (forall (@list @t138 @t16 @t52) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t138 @t16) @t52)) @t209 @t212 @t55))) % 0.76/1.10 (assume @p409 (forall (@list @t20 @t19) (or (tptp.c_HOL_Oord__class_Oless @t20 @t19 tptp.tc_nat) @t357 @t77))) % 0.76/1.10 (assume @p410 (forall @t83 (or @t9 @t27 @t40 @t77))) % 0.76/1.10 (assume @p411 (forall @t83 (or @t9 @t27 @t77 @t40))) % 0.76/1.10 (assume @p412 (forall @t78 (or @t9 @t77 @t40 @t27))) % 0.76/1.10 (assume @p413 (forall @t127 (or @t126 @t125 @t128 @t95))) % 0.76/1.10 (assume @p414 (forall (@list @t71 @t162 @t163 @t219) (or (tptp.c_HOL_Oord__class_Oless @t165 (tptp.hAPP @t229 @t219) tptp.tc_nat) @t364 @t205))) % 0.76/1.10 (assume @p415 (forall (@list @t1 @t446 @t445) (not (= @t296 @t447)))) % 0.76/1.10 (assume @p416 (forall @t371 (or @t130 @t500 @t57))) % 0.76/1.10 (assume @p417 (forall @t371 (or @t130 @t55 (not @t500)))) % 0.76/1.10 (assume @p418 (forall @t105 (or @t130 (tptp.c_HOL_Oord__class_Oless @t92 @t129 @t1)))) % 0.76/1.10 (assume @p419 (forall @t342 (or @t439 @t339 @t451 @t335))) % 0.76/1.10 (assume @p420 (forall @t109 (or @t130 (tptp.c_HOL_Oord__class_Oless @t47 (tptp.hAPP @t99 @t129) @t1)))) % 0.76/1.10 (assume @p421 (forall @t344 (= (tptp.c_List_Otake @t59 @t171 @t1) @t296))) % 0.76/1.10 (assume @p422 (forall (@list @t171 @t1 @t301) (or (not (= @t299 @t353)) @t326))) % 0.76/1.10 (assume @p423 (forall @t134 (or @t130 @t501 @t61))) % 0.76/1.10 (assume @p424 (forall @t134 (or @t130 @t60 (not @t501)))) % 0.76/1.10 (assume @p425 (forall (@list @t301 @t171 @t20 @t19 @t302 @t1) (or @t455 @t369 @t368))) % 0.76/1.10 (assume @p426 (forall (@list @t1 @t47 @t52 @t16) (or @t130 (not (= @t502 @t146)) @t263 @t212))) % 0.76/1.10 (assume @p427 (forall @t307 (= (tptp.c_List_Otake @t59 @t173 @t1) @t296))) % 0.76/1.10 (assume @p428 (forall @t109 (or @t149 (= @t503 @t129)))) % 0.76/1.10 (assume @p429 (forall @t37 (or @t285 (= (tptp.c_Power_Opower__class_Opower @t19 @t59 @t1) @t129)))) % 0.76/1.10 (assume @p430 (forall (@list @t312 @t171 @t301 @t1) (or @t313 (not @t316) (not @t315)))) % 0.76/1.10 (assume @p431 (forall (@list @t379 @t378 @t505 @t504 @t381 @t1 @t382) (= (tptp.c_Fun_Ocomp @t379 (tptp.c_Fun_Ocomp @t378 @t505 @t504 @t381 @t1) @t381 @t382 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t379 @t378 @t381 @t382 @t504) @t505 @t504 @t382 @t1)))) % 0.76/1.10 (assume @p432 (forall @t323 (= (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t320 @t1) (tptp.hAPP @t319 (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t317 @t1))))) % 0.76/1.10 (assume @p433 (forall @t105 (or @t506 (tptp.c_OrderedGroup_Osemigroup__add @t44 @t1)))) % 0.76/1.10 (assume @p434 (forall @t269 (or (= @t268 (tptp.hAPP @t192 @t163)) @t507))) % 0.76/1.10 (assume @p435 (forall (@list @t1 @t171) (or (not (= @t296 @t299)) @t436))) % 0.76/1.10 (assume @p436 (forall @t115 (or @t130 @t258 @t259 @t257))) % 0.76/1.10 (assume @p437 (forall (@list @t138 @t322 @t321 @t318 @t317) (or (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t320 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t138 @t319))))) % 0.76/1.10 (assume @p438 (forall (@list @t138 @t322 @t321 @t318 @t232) (or (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 (tptp.c_Lambda_OdB_OAbs @t232) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t138 (tptp.hAPP @t318 @t232)))))) % 0.76/1.10 (assume @p439 (forall (@list @t1 @t43 @t19 @t20) (or @t130 @t509 @t358 @t508))) % 0.76/1.10 (assume @p440 (forall (@list @t1 @t19 @t20 @t43) (or @t130 @t357 (not @t509) @t508))) % 0.76/1.10 (assume @p441 (forall (@list @t1 @t47 @t16 @t354) (or @t130 (tptp.c_HOL_Oord__class_Oless @t146 @t356 @t1) @t263 @t355))) % 0.76/1.10 (assume @p442 (forall (@list @t1 @t52 @t16 @t47) (or @t130 @t55 (not (tptp.c_HOL_Oord__class_Oless @t502 @t146 @t1)) @t263))) % 0.76/1.10 (assume @p443 (forall (@list @t71 @t163) (not (tptp.c_HOL_Oord__class_Oless @t360 @t71 tptp.tc_nat)))) % 0.76/1.10 (assume @p444 (forall (@list @t163 @t71) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t229 @t71) @t71 tptp.tc_nat)))) % 0.76/1.10 (assume @p445 (forall @t460 (or (not (= @t311 @t171)) @t494))) % 0.76/1.10 (assume @p446 (forall @t460 (or (not (= @t171 @t311)) @t494))) % 0.76/1.10 (assume @p447 (forall @t460 (or (not (= @t311 @t301)) @t436))) % 0.76/1.10 (assume @p448 (forall (@list @t301 @t171 @t1) (or (not (= @t301 @t311)) @t436))) % 0.76/1.10 (assume @p449 (forall (@list @t1 @t19 @t171) (= @t453 @t173))) % 0.76/1.10 (assume @p450 (forall @t203 (or @t126 @t510 @t95))) % 0.76/1.10 (assume @p451 (forall @t203 (or @t114 @t510 @t95))) % 0.76/1.10 (assume @p452 (forall @t204 (or @t114 @t81 (not @t510)))) % 0.76/1.10 (assume @p453 (forall @t201 (or @t126 @t511 @t95))) % 0.76/1.10 (assume @p454 (forall @t201 (or @t114 @t511 @t95))) % 0.76/1.10 (assume @p455 (forall @t204 (or @t114 @t81 (not @t511)))) % 0.76/1.10 (assume @p456 (forall @t167 (or (tptp.c_HOL_Oord__class_Oless @t165 @t230 tptp.tc_nat) @t205))) % 0.76/1.10 (assume @p457 (forall @t244 (or @t55 (not @t512)))) % 0.76/1.10 (assume @p458 (forall @t242 (or @t512 @t57))) % 0.76/1.10 (assume @p459 (forall @t342 (or @t439 @t452 @t337 @t335))) % 0.76/1.10 (assume @p460 (forall @t515 (or @t514 (= @t47 @t446)))) % 0.76/1.10 (assume @p461 (forall @t515 (or @t514 (= @t513 @t445)))) % 0.76/1.10 (assume @p462 (forall @t450 (or @t449 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t189) @t432))) @t448))) % 0.76/1.10 (assume @p463 (forall @t498 (or @t303 @t370 @t325))) % 0.76/1.10 (assume @p464 (forall (@list @t302 @t19 @t301 @t1 @t171) (or (tptp.c_ListOrder_Ostep1 @t302 (tptp.c_List_Olist_OCons @t19 @t301 @t1) @t173 @t1) @t304))) % 0.76/1.10 (assume @p465 (forall (@list @t171 @t71 @t19 @t1 @t516 @t63) (or (= (tptp.c_List_Olist__update @t517 @t516 @t63 @t1) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t171 @t516 @t63 @t1) @t71 @t19 @t1)) (= @t71 @t516)))) % 0.76/1.10 (assume @p466 (forall (@list @t47 @t43 @t381 @t382 @t1 @t42 @t48 @t504 @t2) (or (not (= @t385 (tptp.c_Fun_Ocomp @t42 @t48 @t504 @t382 @t1))) (= @t386 (tptp.hAPP @t42 (tptp.hAPP @t48 @t2)))))) % 0.76/1.10 (assume @p467 (forall (@list @t379 @t378 @t19 @t520 @t519 @t63 @t382 @t1 @t381 @t504 @t518) (or (not (= @t380 (tptp.hAPP @t520 (tptp.hAPP @t519 @t63)))) (= @t384 (tptp.hAPP (tptp.c_Fun_Ocomp @t520 @t519 @t504 @t1 @t518) @t63))))) % 0.76/1.10 (assume @p468 (forall @t105 (= @t296 @t459))) % 0.76/1.10 (assume @p469 (forall @t371 (or @t228 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t91 @t1) (tptp.hAPP (tptp.hAPP @t44 @t131) @t133))))) % 0.76/1.10 (assume @p470 (forall @t522 (or @t521 @t326))) % 0.76/1.10 (assume @p471 (forall @t522 (or @t521 @t77))) % 0.76/1.10 (assume @p472 (forall @t105 (= @t456 @t296))) % 0.76/1.10 (assume @p473 (forall (@list @t187 @t162) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t266) @t162) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP @t425 @t265))))) % 0.76/1.10 (assume @p474 (forall (@list @t171 @t71 @t19 @t1 @t20) (= (tptp.c_List_Olist__update @t517 @t71 @t20 @t1) @t183))) % 0.76/1.10 (assume @p475 (forall @t330 (= (tptp.c_List_Oappend @t311 @t328 @t1) (tptp.c_List_Oappend @t171 (tptp.c_List_Oappend @t301 @t328 @t1) @t1)))) % 0.76/1.10 (assume @p476 (forall (@list @t171 @t444 @t305 @t1) (= (tptp.c_List_Oappend @t171 (tptp.c_List_Oappend @t444 @t305 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t171 @t444 @t1) @t305 @t1)))) % 0.76/1.10 (assume @p477 (forall (@list @t328 @t19 @t1 @t301) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t328 @t19 @t1) @t301 @t1) (tptp.c_List_Oappend @t328 (tptp.c_List_Oappend @t19 @t301 @t1) @t1)))) % 0.76/1.10 (assume @p478 (forall (@list @t171 @t19 @t412 @t1) (= (tptp.c_List_Oappend @t171 (tptp.c_List_Oappend @t19 @t412 @t1) @t1) (tptp.c_List_Oappend @t300 @t412 @t1)))) % 0.76/1.10 (assume @p479 (forall (@list @t192 @t71 @t184 @t189 @t185) (or (tptp.c_Type_Otyping @t523 @t418 @t185) @t448))) % 0.76/1.10 (assume @p480 (forall @t82 (or @t25 @t95 @t524))) % 0.76/1.10 (assume @p481 (forall @t526 (or @t525 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t331 @t43) @t42))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t302 @t47) @t43)))))) % 0.76/1.10 (assume @p482 (forall @t526 (or @t525 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t302 @t43) @t42))) (not (tptp.hBOOL (tptp.hAPP @t332 @t43)))))) % 0.76/1.10 (assume @p483 (forall @t78 (or @t9 @t41 @t28))) % 0.76/1.10 (assume @p484 (forall @t83 (or @t34 @t28 @t41))) % 0.76/1.10 (assume @p485 (forall @t76 (or @t34 @t524 @t95))) % 0.76/1.10 (assume @p486 (forall @t489 (= (tptp.c_List_Orev @t488 @t1) (tptp.c_List_Omap @t379 (tptp.c_List_Orev @t171 @t382) @t382 @t1)))) % 0.76/1.10 (assume @p487 (forall (@list @t379 @t378 @t171 @t1 @t382) (or (not (= (tptp.hAPP @t379 @t527) (tptp.hAPP @t378 @t527))) (= (tptp.c_List_Omap @t379 @t171 @t1 @t382) (tptp.c_List_Omap @t378 @t171 @t1 @t382))))) % 0.76/1.10 (assume @p488 (forall (@list @t16 @t379 @t171 @t382 @t1) (= (tptp.c_List_Otake @t16 @t488 @t1) (tptp.c_List_Omap @t379 (tptp.c_List_Otake @t16 @t171 @t382) @t382 @t1)))) % 0.76/1.10 (assume @p489 (forall (@list @t379 @t382 @t1) (= @t528 @t296))) % 0.76/1.10 (assume @p490 (forall (@list @t379 @t378 @t171 @t381 @t382 @t1) (= (tptp.c_List_Omap @t379 (tptp.c_List_Omap @t378 @t171 @t381 @t382) @t382 @t1) (tptp.c_List_Omap @t383 @t171 @t381 @t1)))) % 0.76/1.10 (assume @p491 (forall (@list @t379 @t19 @t232 @t382 @t1) (= (tptp.c_List_Omap @t379 (tptp.c_List_Olist_OCons @t19 @t232 @t382) @t382 @t1) (tptp.c_List_Olist_OCons @t529 (tptp.c_List_Omap @t379 @t232 @t382 @t1) @t1)))) % 0.76/1.10 (assume @p492 (forall (@list @t379 @t232 @t479 @t382 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t379 @t232) (tptp.c_List_Omap @t379 @t479 @t382 @t1) @t1) (tptp.c_List_Omap @t379 (tptp.c_List_Olist_OCons @t232 @t479 @t382) @t382 @t1)))) % 0.76/1.10 (assume @p493 (forall (@list @t379 @t19 @t171 @t382 @t1) (= (tptp.c_List_Omap @t379 @t530 @t382 @t1) (tptp.c_List_Olist_OCons @t529 @t488 @t1)))) % 0.76/1.10 (assume @p494 (forall (@list @t379 @t378 @t19 @t1 @t382) (or (not (= (tptp.hAPP @t379 @t531) (tptp.hAPP @t378 @t531))) (= (tptp.c_List_Omap @t379 @t19 @t1 @t382) (tptp.c_List_Omap @t378 @t19 @t1 @t382))))) % 0.76/1.10 (assume @p495 (forall (@list @t379 @t378 @t171 @t382 @t1) (or (not (= (tptp.hAPP @t379 @t532) (tptp.hAPP @t378 @t532))) (= @t488 (tptp.c_List_Omap @t378 @t171 @t382 @t1))))) % 0.76/1.10 (assume @p496 (forall (@list @t379 @t171 @t162 @t20 @t382 @t1) (= (tptp.c_List_Omap @t379 (tptp.c_List_Olist__update @t171 @t162 @t20 @t382) @t382 @t1) (tptp.c_List_Olist__update @t488 @t162 (tptp.hAPP @t379 @t20) @t1)))) % 0.76/1.10 (assume @p497 (forall (@list @t1 @t379 @t382) (= @t296 @t528))) % 0.76/1.10 (assume @p498 (forall @t536 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 @t535) @t534)) @t372))) % 0.76/1.10 (assume @p499 (forall (@list @t302 @t537 @t533) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t302 @t537 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t535)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t537 @t533 tptp.tc_Lambda_OdB))))) % 0.76/1.10 (assume @p500 (forall @t542 (or @t541 @t539))) % 0.76/1.10 (assume @p501 (forall @t544 (= @t540 @t543))) % 0.76/1.10 (assume @p502 (forall (@list @t302 @t187 @t189 @t412) (or (not (= @t545 @t413)) (= @t302 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t189 (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t302 @t187 @t189 @t412) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (= @t412 @t538)))) % 0.76/1.10 (assume @p503 (forall (@list @t189) (= @t189 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 @t189) (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 @t189) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.76/1.10 (assume @p504 (forall @t547 (or @t546 @t539))) % 0.76/1.10 (assume @p505 (forall @t544 (= @t543 @t540))) % 0.76/1.10 (assume @p506 (forall (@list @t461 @t19 @t20 @t328 @t1) (or (= (tptp.c_List_Ofoldl @t461 (tptp.hAPP @t548 @t20) @t328 @t1 @t1) (tptp.hAPP @t548 (tptp.c_List_Ofoldl @t461 @t20 @t328 @t1 @t1))) @t499))) % 0.76/1.10 (assume @p507 (forall (@list @t379 @t47 @t382 @t1) (= (tptp.c_List_Ofoldl @t379 @t47 @t486 @t1 @t382) @t47))) % 0.76/1.10 (assume @p508 (forall (@list @t1 @t19 @t20 @t328) (or @t506 (= (tptp.c_List_Ofoldl @t44 @t119 @t328 @t1 @t1) (tptp.hAPP @t118 (tptp.c_List_Ofoldl @t44 @t20 @t328 @t1 @t1)))))) % 0.76/1.10 (assume @p509 (forall (@list @t461 @t19 @t462 @t328 @t1) (or (= (tptp.hAPP @t548 (tptp.c_List_Ofoldl @t461 @t462 @t328 @t1 @t1)) (tptp.c_List_Ofoldl @t461 @t19 @t328 @t1 @t1)) @t463))) % 0.76/1.10 (assume @p510 (forall (@list @t379 @t47 @t19 @t171 @t382 @t1) (= (tptp.c_List_Ofoldl @t379 @t47 @t530 @t1 @t382) (tptp.c_List_Ofoldl @t379 (tptp.hAPP (tptp.hAPP @t379 @t47) @t19) @t171 @t1 @t382)))) % 0.76/1.10 (assume @p511 (forall (@list @t379 @t47 @t171 @t301 @t382 @t1) (= (tptp.c_List_Ofoldl @t379 @t47 @t490 @t1 @t382) (tptp.c_List_Ofoldl @t379 (tptp.c_List_Ofoldl @t379 @t47 @t171 @t1 @t382) @t301 @t1 @t382)))) % 0.76/1.10 (assume @p512 (forall @t393 (or (tptp.hBOOL (tptp.hAPP @t138 @t395)) @t394 @t392))) % 0.76/1.10 (assume @p513 (forall (@list @t192 @t412 @t185 @t71) (or (tptp.c_Type_Otypings @t192 @t412 (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t185 @t192 @t71 @t412)) @t550))) % 0.76/1.10 (assume @p514 (forall @t393 (or @t392 (tptp.hBOOL (tptp.hAPP @t138 @t391)) @t390))) % 0.76/1.10 (assume @p515 (forall (@list @t192 @t305 @t185 @t184 @t71 @t412 @t551) (or (tptp.c_Type_Otypings @t192 @t305 (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t185 @t184 @t192 @t305)) @t553 @t552 (not (tptp.c_Type_Otyping @t192 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t549 @t305 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t185))))) % 0.76/1.10 (assume @p516 (forall (@list @t537 @t16 @t2) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t537 @t557 tptp.tc_Lambda_OdB) @t556))) % 0.76/1.10 (assume @p517 (forall @t342 (or @t466 @t452 @t451 @t335))) % 0.76/1.10 (assume @p518 (forall @t377 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t376) @t374)) @t348))) % 0.76/1.10 (assume @p519 (forall @t342 (or @t341 @t452 @t451 @t335))) % 0.76/1.10 (assume @p520 (forall @t362 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t361) @t187) @t162) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t270 (tptp.hAPP @t425 @t59)) @t265))))) % 0.76/1.10 (assume @p521 (forall (@list @t476 @t214) (not (= @t477 @t558)))) % 0.76/1.10 (assume @p522 (forall (@list @t138 @t322 @t321 @t318 @t559) (or (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 (tptp.c_Lambda_OdB_OVar @t559) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t138 (tptp.hAPP @t322 @t559)))))) % 0.76/1.10 (assume @p523 (forall (@list @t138 @t322 @t321 @t318 @t214) (or (not (tptp.hBOOL (tptp.hAPP @t138 (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t558 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t138 @t560))))) % 0.76/1.10 (assume @p524 (forall (@list @t71 @t189) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t180) @t189))))) % 0.76/1.10 (assume @p525 (forall @t561 (= (tptp.c_Lambda_OdB_OdB__rec @t322 @t321 @t318 @t558 @t1) @t560))) % 0.76/1.10 (assume @p526 (forall (@list @t214 @t476) (not (= @t558 @t477)))) % 0.76/1.10 (assume @p527 (forall (@list @t192 @t71 @t185) (or (= (tptp.hAPP @t192 @t71) @t185) (not (tptp.c_Type_Otyping @t192 @t180 @t185))))) % 0.76/1.10 (assume @p528 (forall @t561 (= (tptp.c_Lambda_OdB_OdB__case @t322 @t321 @t318 @t558 @t1) @t560))) % 0.76/1.10 (assume @p529 (forall (@list @t188 @t19) (tptp.c_Type_Otyping @t188 @t410 (tptp.hAPP @t188 @t19)))) % 0.76/1.10 (assume @p530 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.76/1.10 (assume @p531 (forall @t544 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t540)) @t562))) % 0.76/1.10 (assume @p532 (forall @t497 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t496) @t426)) @t348))) % 0.76/1.10 (assume @p533 (forall @t458 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t563) (tptp.hAPP @t373 @t59))))) % 0.76/1.10 (assume @p534 (= tptp.v_n____ tptp.v_i____)) % 0.76/1.10 (assume @p535 (forall (@list @t2 @t16 @t537) (or (= @t2 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t554 @t557 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t556))) % 0.76/1.10 (assume @p536 (forall @t134 (or @t471 @t470 @t469 @t149 @t564 @t137))) % 0.76/1.10 (assume @p537 (forall @t134 (or @t150 @t149 @t564 @t137))) % 0.76/1.10 (assume @p538 (forall @t109 (or @t471 @t470 @t469 @t149 (not (= @t503 @t92))))) % 0.76/1.10 (assume @p539 (forall @t105 (or @t228 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t59 @t1) @t92)))) % 0.76/1.10 (assume @p540 (forall (@list @t1 @t19 @t328) (or @t474 (= (tptp.hAPP @t118 (tptp.c_List_Ofoldl @t44 @t92 @t328 @t1 @t1)) (tptp.c_List_Ofoldl @t44 @t19 @t328 @t1 @t1))))) % 0.76/1.10 (assume @p541 (forall (@list @t189 @t187) (= (tptp.c_Lambda_Osubstn @t189 @t187 @t59) (tptp.hAPP @t349 @t59)))) % 0.76/1.10 (assume @p542 (forall @t565 (= (tptp.c_Nat_Osize__class_Osize @t558 tptp.tc_Lambda_OdB) @t59))) % 0.76/1.10 (assume @p543 (forall @t565 (= (tptp.c_Lambda_OdB_OdB__size @t558) @t59))) % 0.76/1.10 (assume @p544 (forall (@list @t302 @t187) (= @t545 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t545 @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.76/1.10 (assume @p545 (forall (@list @t302 @t187 @t189) (or (not (= @t545 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t189 @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t545 @t189)))) % 0.76/1.10 (assume @p546 (forall @t547 (or @t546 (= @t187 @t540)))) % 0.76/1.10 (assume @p547 (forall @t568 (or @t567 @t566))) % 0.76/1.10 (assume @p548 (forall @t568 (or @t567 @t569))) % 0.76/1.10 (assume @p549 (forall @t536 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t535) @t534)) @t348))) % 0.76/1.10 (assume @p550 (forall @t542 (or @t541 (= @t540 @t187)))) % 0.76/1.10 (assume @p551 (forall (@list @t192 @t276 @t71 @t412 @t551 @t185) (or (tptp.c_Type_Otypings @t192 @t571 @t551) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t192 @t71 @t185 tptp.tc_Type_Otype) @t412 @t551)) (not (tptp.c_Type_Otyping @t192 @t276 @t185))))) % 0.76/1.10 (assume @p552 (forall @t421 (or (= @t420 @t419) @t507))) % 0.76/1.10 (assume @p553 (forall @t409 (or (= @t422 @t180) @t491 @t405))) % 0.76/1.10 (assume @p554 (forall @t411 (or @t245 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t410) @t187) @t19) @t187)))) % 0.76/1.10 (assume @p555 (forall (@list @t192 @t71 @t184 @t412 @t551) (or (tptp.c_Type_Otypings @t523 @t572 @t551) @t552))) % 0.76/1.10 (assume @p556 (forall @t275 (or (= @t274 @t180) @t179))) % 0.76/1.10 (assume @p557 (forall (@list @t185 @t184 @t192 @t71 @t412) (or (= @t185 @t184) @t553 @t550))) % 0.76/1.10 (assume @p558 (forall (@list @t16 @t412 @t302 @t533) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t554 @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t540 @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.76/1.10 (assume @p559 (forall @t250 (= @t573 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t573 @t538 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.76/1.10 (assume @p560 (forall @t575 (or @t574 @t539))) % 0.76/1.10 (assume @p561 (forall (@list @t187 @t189 @t16 @t533) (not (= @t563 @t576)))) % 0.76/1.10 (assume @p562 @t577) % 0.76/1.10 (assume @p563 (forall @t542 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t540) @t187) @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t187))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t375 @t187) @t59) @t533 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.76/1.10 (assume @p564 (forall (@list @t412) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap @t578 @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t412 tptp.tc_Lambda_OdB))))) % 0.76/1.10 (assume @p565 (forall @t485 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t484) @t187) @t162) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t349 @t162)) (tptp.hAPP (tptp.hAPP @t399 @t187) @t162))))) % 0.76/1.10 (assume @p566 (forall @t217 (or (not (= @t558 (tptp.c_Lambda_OdB_OVar @t213))) @t215))) % 0.76/1.10 (assume @p567 (forall @t580 (or @t579 @t212))) % 0.76/1.10 (assume @p568 (forall @t580 (or @t579 @t569))) % 0.76/1.10 (assume @p569 (forall (@list @t162 @t276) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t162)) @t276) @t162) @t276))) % 0.76/1.10 (assume @p570 (forall (@list @t302 @t71 @t163) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t375 @t180) @t163))) @t562))) % 0.76/1.10 (assume @p571 (forall (@list @t189 @t412 @t71) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t413) @t71) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t418 @t572 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.76/1.10 (assume @p572 (forall @t585 (or @t584 (= @t402 @t581)))) % 0.76/1.10 (assume @p573 (forall @t585 (or @t584 (= @t401 @t582)))) % 0.76/1.10 (assume @p574 (forall @t575 (or @t574 (= @t573 @t187)))) % 0.76/1.10 (assume @p575 (forall (@list @t214 @t581 @t582) (not (= @t558 @t583)))) % 0.76/1.10 (assume @p576 (forall @t587 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t418)) @t586))) % 0.76/1.10 (assume @p577 (forall @t18 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t554)))) % 0.76/1.10 (assume @p578 (forall (@list @t187 @t189 @t162) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t191) @t162) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t425 @t162)) @t417)))) % 0.76/1.10 (assume @p579 (forall (@list @t189 @t412 @t276 @t71) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t413) @t276) @t71) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t398 @t571 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.76/1.10 (assume @p580 (forall (@list @t138 @t588 @t382 @t381 @t1 @t589) (= (tptp.hAPP (tptp.c_COMBC @t138 @t588 @t382 @t381 @t1) @t589) (tptp.hAPP (tptp.hAPP @t138 @t589) @t588)))) % 0.76/1.10 (assume @p581 (forall (@list @t302 @t412 @t187) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t302 @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t187 @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t566))) % 0.76/1.10 (assume @p582 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.76/1.10 (assume @p583 (forall (@list @t189 @t162 @t187) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t417) @t187) @t162) @t189))) % 0.76/1.10 (assume @p584 (forall @t587 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t483 @t180))) @t586))) % 0.76/1.10 (assume @p585 (forall (@list @t581 @t582 @t214) (not (= @t583 @t558)))) % 0.76/1.10 (assume @p586 @t591) % 0.76/1.10 (assume @p587 (not @t592)) % 0.76/1.10 (assume @p588 (forall @t596 (or (tptp.class_Orderings_Opreorder @t595) (not (tptp.class_Orderings_Opreorder @t593))))) % 0.76/1.10 (assume @p589 (forall @t596 (or (tptp.class_Orderings_Oorder @t595) (not (tptp.class_Orderings_Oorder @t593))))) % 0.76/1.10 (assume @p590 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.76/1.10 (assume @p591 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.76/1.10 (assume @p592 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.76/1.10 (assume @p593 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.76/1.10 (assume @p594 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.76/1.10 (assume @p595 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.76/1.10 (assume @p596 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.76/1.10 (assume @p597 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.76/1.10 (assume @p598 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.76/1.10 (assume @p599 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.76/1.10 (assume @p600 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.76/1.10 (assume @p601 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.76/1.10 (assume @p602 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.76/1.10 (assume @p603 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.76/1.10 (assume @p604 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.76/1.10 (assume @p605 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.76/1.10 (assume @p606 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.76/1.10 (assume @p607 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.76/1.10 (assume @p608 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.76/1.10 (assume @p609 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.76/1.10 (assume @p610 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.76/1.10 (assume @p611 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.76/1.10 (assume @p612 (tptp.class_Power_Opower tptp.tc_nat)) % 0.76/1.10 (assume @p613 (tptp.class_Int_Onumber tptp.tc_nat)) % 0.76/1.10 (assume @p614 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.76/1.10 (assume @p615 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.76/1.10 (assume @p616 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p617 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p618 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p619 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p620 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p621 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p622 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p623 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p624 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p625 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p626 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p627 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p628 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p629 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p630 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p631 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p632 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p633 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p634 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p635 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p636 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p637 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p638 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p639 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p640 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p641 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p642 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p643 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p644 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p645 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p646 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p647 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p648 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 0.76/1.10 (assume @p649 (forall (@list @t138 @t588 @t589 @t382 @t1 @t381) (= (tptp.c_COMBB @t138 @t588 @t589 @t382 @t1 @t381) (tptp.hAPP @t138 (tptp.hAPP @t588 @t589))))) % 0.76/1.10 (assume @p650 (forall @t345 (tptp.c_fequal @t19 @t19 @t1))) % 0.76/1.10 (assume @p651 (forall (@list @t598 @t597 @t1) (or (= @t598 @t597) (not (tptp.c_fequal @t598 @t597 @t1))))) % 0.76/1.10 (step @p652 :rule cnf_or_pos :args (@t600)) % 0.76/1.10 (step @p653 :rule reordering :premises (@p652) :args ((or @t592 @t599 @t601))) % 0.76/1.10 (step @p654 :rule chain_m_resolution :premises (@p653 @p587 @p586) :args (@t601 @t602 (@list @t592 @t591))) % 0.76/1.10 (assume-push @p661 @t577) % 0.76/1.10 (step @p656 :rule instantiate :premises (@p562) :args ((@list @t59 @t590))) % 0.76/1.10 (step-pop @p662 :rule scope :premises (@p656)) % 0.76/1.10 (step @p657 :rule process_scope :premises (@p662) :args (@t600)) % 0.76/1.10 (step @p659 :rule implies_elim :premises (@p657)) % 0.76/1.10 (step @p660 false :rule chain_m_resolution :premises (@p659 @p654 @p562) :args (false @t602 (@list @t600 @t577))) % 0.76/1.10 ) % 0.76/1.10 % SZS output end Proof % 0.76/1.10 % cvc5 exiting %------------------------------------------------------------------------------