%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL838-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:00 AM UTC 2026 % Result : Unsatisfiable 0.62s 0.95s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL838-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n005.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 02:17:20 UTC 2026 % 0.09/0.36 % CPUTime : % 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.95 % SZS status Unsatisfiable % 0.62/0.95 % SZS output start Proof % 0.62/0.98 ( % 0.62/0.98 (declare-sort $$unsorted 0) % 0.62/0.98 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.v_i____ $$unsorted) % 0.62/0.98 (declare-const tptp.v_T_H____ $$unsorted) % 0.62/0.98 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.v_ia______ $$unsorted) % 0.62/0.98 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.62/0.98 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.v_r____ $$unsorted) % 0.62/0.98 (declare-const tptp.v_as____ $$unsorted) % 0.62/0.98 (declare-const tptp.v_T____ $$unsorted) % 0.62/0.98 (declare-const tptp.v_a____ $$unsorted) % 0.62/0.98 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.62/0.98 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.62/0.98 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.v_u____ $$unsorted) % 0.62/0.98 (declare-const tptp.v_ua______ $$unsorted) % 0.62/0.98 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.98 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.62/0.98 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.62/0.98 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.98 (declare-const tptp.c_Type_Otype_Otype__size (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_List_Olist_Olist__size (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.v_e____ $$unsorted) % 0.62/0.99 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.62/0.99 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.62/0.99 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.tc_bool $$unsorted) % 0.62/0.99 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.v_ea______ $$unsorted) % 0.62/0.99 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.t_a $$unsorted) % 0.62/0.99 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.tc_nat $$unsorted) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.62/0.99 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.v_thesis____ Bool) % 0.62/0.99 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.62/0.99 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.62/0.99 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.62/0.99 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.99 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.62/0.99 (define @t1 () (@var "V_n" $$unsorted)) % 0.62/0.99 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.62/0.99 (define @t3 () (tptp.c_HOL_Oord__class_Oless @t2 @t1 tptp.tc_nat)) % 0.62/0.99 (define @t4 () (not @t3)) % 0.62/0.99 (define @t5 () (@var "V_m" $$unsorted)) % 0.62/0.99 (define @t6 () (tptp.c_HOL_Oord__class_Oless @t2 @t5 tptp.tc_nat)) % 0.62/0.99 (define @t7 () (not @t6)) % 0.62/0.99 (define @t8 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t1 tptp.tc_nat)) % 0.62/0.99 (define @t9 () (@list @t5 @t1)) % 0.62/0.99 (define @t10 () (tptp.c_HOL_Oord__class_Oless @t5 @t1 tptp.tc_nat)) % 0.62/0.99 (define @t11 () (not @t10)) % 0.62/0.99 (define @t12 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t5 tptp.tc_nat)) % 0.62/0.99 (define @t13 () (tptp.c_HOL_Oord__class_Oless @t2 @t12 tptp.tc_nat)) % 0.62/0.99 (define @t14 () (@list @t1 @t5)) % 0.62/0.99 (define @t15 () (@var "V_b" $$unsorted)) % 0.62/0.99 (define @t16 () (@var "V_a" $$unsorted)) % 0.62/0.99 (define @t17 () (@var "V_P" $$unsorted)) % 0.62/0.99 (define @t18 () (@var "T_a" $$unsorted)) % 0.62/0.99 (define @t19 () (tptp.c_HOL_Oord__class_Oless @t16 @t15 @t18)) % 0.62/0.99 (define @t20 () (not @t19)) % 0.62/0.99 (define @t21 () (tptp.c_HOL_Ozero__class_Ozero @t18)) % 0.62/0.99 (define @t22 () (tptp.c_HOL_Ominus__class_Ominus @t16 @t15 @t18)) % 0.62/0.99 (define @t23 () (tptp.c_HOL_Oord__class_Oless @t22 @t21 @t18)) % 0.62/0.99 (define @t24 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t18))) % 0.62/0.99 (define @t25 () (@list @t18 @t16 @t15)) % 0.62/0.99 (define @t26 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.62/0.99 (define @t27 () (tptp.hAPP @t26 @t1)) % 0.62/0.99 (define @t28 () (@var "V_y_H" $$unsorted)) % 0.62/0.99 (define @t29 () (@var "V_x_H" $$unsorted)) % 0.62/0.99 (define @t30 () (tptp.c_HOL_Oord__class_Oless @t29 @t28 @t18)) % 0.62/0.99 (define @t31 () (@var "V_y" $$unsorted)) % 0.62/0.99 (define @t32 () (@var "V_x" $$unsorted)) % 0.62/0.99 (define @t33 () (tptp.c_HOL_Oord__class_Oless @t32 @t31 @t18)) % 0.62/0.99 (define @t34 () (tptp.c_HOL_Ominus__class_Ominus @t29 @t28 @t18)) % 0.62/0.99 (define @t35 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t31 @t18)) % 0.62/0.99 (define @t36 () (not (= @t35 @t34))) % 0.62/0.99 (define @t37 () (@list @t18 @t32 @t31 @t29 @t28)) % 0.62/0.99 (define @t38 () (not @t33)) % 0.62/0.99 (define @t39 () (@var "V_xs" $$unsorted)) % 0.62/0.99 (define @t40 () (@var "V_ys" $$unsorted)) % 0.62/0.99 (define @t41 () (@var "V_r" $$unsorted)) % 0.62/0.99 (define @t42 () (tptp.c_ListOrder_Ostep1 @t41 @t40 @t39 @t18)) % 0.62/0.99 (define @t43 () (tptp.c_List_Olist_OCons @t32 @t39 @t18)) % 0.62/0.99 (define @t44 () (not (tptp.c_ListOrder_Ostep1 @t41 (tptp.c_List_Olist_OCons @t31 @t40 @t18) @t43 @t18))) % 0.62/0.99 (define @t45 () (tptp.hAPP @t41 @t31)) % 0.62/0.99 (define @t46 () (tptp.hBOOL (tptp.hAPP @t45 @t32))) % 0.62/0.99 (define @t47 () (@list @t41 @t40 @t39 @t18 @t31 @t32)) % 0.62/0.99 (define @t48 () (@var "V_list_H" $$unsorted)) % 0.62/0.99 (define @t49 () (@var "V_list" $$unsorted)) % 0.62/0.99 (define @t50 () (@var "V_a_H" $$unsorted)) % 0.62/0.99 (define @t51 () (tptp.c_List_Olist_OCons @t50 @t48 @t18)) % 0.62/0.99 (define @t52 () (tptp.c_List_Olist_OCons @t16 @t49 @t18)) % 0.62/0.99 (define @t53 () (not (= @t52 @t51))) % 0.62/0.99 (define @t54 () (@list @t16 @t49 @t18 @t50 @t48)) % 0.62/0.99 (define @t55 () (@var "V_j" $$unsorted)) % 0.62/0.99 (define @t56 () (@var "V_k" $$unsorted)) % 0.62/0.99 (define @t57 () (@var "V_i" $$unsorted)) % 0.62/0.99 (define @t58 () (tptp.hAPP @t26 @t57)) % 0.62/0.99 (define @t59 () (tptp.hAPP @t58 @t56)) % 0.62/0.99 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t59 @t55 tptp.tc_nat)) % 0.62/0.99 (define @t61 () (tptp.c_HOL_Oord__class_Oless @t57 (tptp.c_HOL_Ominus__class_Ominus @t55 @t56 tptp.tc_nat) tptp.tc_nat)) % 0.62/0.99 (define @t62 () (@list @t57 @t55 @t56)) % 0.62/0.99 (define @t63 () (@list @t57 @t56 @t55)) % 0.62/0.99 (define @t64 () (@var "T_b" $$unsorted)) % 0.62/0.99 (define @t65 () (@var "V_f" $$unsorted)) % 0.62/0.99 (define @t66 () (tptp.c_List_Olist_OCons @t32 @t39 @t64)) % 0.62/0.99 (define @t67 () (tptp.c_List_Olist_ONil @t18)) % 0.62/0.99 (define @t68 () (= @t5 @t1)) % 0.62/0.99 (define @t69 () (= @t39 @t40)) % 0.62/0.99 (define @t70 () (not (tptp.c_HOL_Oord__class_Oless @t55 @t56 tptp.tc_nat))) % 0.62/0.99 (define @t71 () (tptp.c_Suc @t1)) % 0.62/0.99 (define @t72 () (tptp.c_Suc @t5)) % 0.62/0.99 (define @t73 () (@list @t5)) % 0.62/0.99 (define @t74 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t32 @t18)) % 0.62/0.99 (define @t75 () (= @t74 @t21)) % 0.62/0.99 (define @t76 () (not (tptp.class_Int_Onumber__ring @t18))) % 0.62/0.99 (define @t77 () (not (tptp.class_Ring__and__Field_Oidom @t18))) % 0.62/0.99 (define @t78 () (@list @t18 @t32)) % 0.62/0.99 (define @t79 () (not (tptp.class_OrderedGroup_Ogroup__add @t18))) % 0.62/0.99 (define @t80 () (@list @t18 @t16)) % 0.62/0.99 (define @t81 () (not (tptp.class_OrderedGroup_Oab__group__add @t18))) % 0.62/0.99 (define @t82 () (@var "V_l" $$unsorted)) % 0.62/0.99 (define @t83 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.62/0.99 (define @t84 () (@list @t1)) % 0.62/0.99 (define @t85 () (@var "V_xa" $$unsorted)) % 0.62/0.99 (define @t86 () (= @t32 @t31)) % 0.62/0.99 (define @t87 () (tptp.c_HOL_Oplus__class_Oplus @t18)) % 0.62/0.99 (define @t88 () (tptp.tc_List_Olist @t18)) % 0.62/0.99 (define @t89 () (tptp.c_List_Olist_OCons @t32 @t85 @t18)) % 0.62/0.99 (define @t90 () (tptp.c_Nat_Osize__class_Osize @t89 @t88)) % 0.62/0.99 (define @t91 () (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize @t85 @t88))) % 0.62/0.99 (define @t92 () (tptp.hAPP @t26 @t15)) % 0.62/0.99 (define @t93 () (@var "V_d" $$unsorted)) % 0.62/0.99 (define @t94 () (@list @t32 @t85 @t18)) % 0.62/0.99 (define @t95 () (tptp.hAPP @t27 @t5)) % 0.62/0.99 (define @t96 () (tptp.hAPP @t26 @t55)) % 0.62/0.99 (define @t97 () (tptp.hAPP @t96 @t56)) % 0.62/0.99 (define @t98 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t57 @t55 tptp.tc_nat) @t56 tptp.tc_nat)) % 0.62/0.99 (define @t99 () (tptp.hAPP @t27 @t56)) % 0.62/0.99 (define @t100 () (tptp.hAPP @t26 @t5)) % 0.62/0.99 (define @t101 () (tptp.hAPP @t100 @t56)) % 0.62/0.99 (define @t102 () (@list @t5 @t56 @t1)) % 0.62/0.99 (define @t103 () (tptp.hAPP @t26 @t56)) % 0.62/0.99 (define @t104 () (tptp.hAPP @t103 @t1)) % 0.62/0.99 (define @t105 () (tptp.hAPP @t103 @t5)) % 0.62/0.99 (define @t106 () (@list @t56 @t5 @t1)) % 0.62/0.99 (define @t107 () (@list @t18 @t32 @t31)) % 0.62/0.99 (define @t108 () (= @t16 @t15)) % 0.62/0.99 (define @t109 () (not (= @t22 @t21))) % 0.62/0.99 (define @t110 () (tptp.c_Suc @t56)) % 0.62/0.99 (define @t111 () (@list @t5 @t1 @t56)) % 0.62/0.99 (define @t112 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t83 tptp.tc_nat)) % 0.62/0.99 (define @t113 () (@var "V_t" $$unsorted)) % 0.62/0.99 (define @t114 () (tptp.hAPP @t100 @t1)) % 0.62/0.99 (define @t115 () (tptp.hAPP @t87 @t16)) % 0.62/0.99 (define @t116 () (tptp.hAPP @t115 @t15)) % 0.62/0.99 (define @t117 () (tptp.c_Suc @t57)) % 0.62/0.99 (define @t118 () (tptp.c_Suc @t2)) % 0.62/0.99 (define @t119 () (not (tptp.c_HOL_Oord__class_Oless @t57 @t55 tptp.tc_nat))) % 0.62/0.99 (define @t120 () (tptp.c_HOL_Ominus__class_Ominus @t55 @t83 tptp.tc_nat)) % 0.62/0.99 (define @t121 () (@var "V_e" $$unsorted)) % 0.62/0.99 (define @t122 () (@var "V_T" $$unsorted)) % 0.62/0.99 (define @t123 () (tptp.hAPP (tptp.c_Type_Oshift @t121 @t57 @t122 @t18) @t55)) % 0.62/0.99 (define @t124 () (@list @t121 @t57 @t122 @t18 @t55)) % 0.62/0.99 (define @t125 () (tptp.c_Suc @t32)) % 0.62/0.99 (define @t126 () (@var "V_nat_H" $$unsorted)) % 0.62/0.99 (define @t127 () (@var "V_nat" $$unsorted)) % 0.62/0.99 (define @t128 () (= @t127 @t126)) % 0.62/0.99 (define @t129 () (tptp.c_Suc @t126)) % 0.62/0.99 (define @t130 () (@list @t127 @t126)) % 0.62/0.99 (define @t131 () (tptp.c_List_Ofoldl @t87 @t16 @t39 @t18 @t18)) % 0.62/0.99 (define @t132 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t18))) % 0.62/0.99 (define @t133 () (tptp.c_Transitive__Closure_Ortranclp @t41 @t18)) % 0.62/0.99 (define @t134 () (tptp.hAPP @t133 @t32)) % 0.62/0.99 (define @t135 () (tptp.hBOOL (tptp.hAPP @t134 @t31))) % 0.62/0.99 (define @t136 () (@list @t41 @t18 @t32 @t31)) % 0.62/0.99 (define @t137 () (= @t5 @t118)) % 0.62/0.99 (define @t138 () (= @t1 @t118)) % 0.62/0.99 (define @t139 () (not (= @t118 @t114))) % 0.62/0.99 (define @t140 () (= @t1 @t2)) % 0.62/0.99 (define @t141 () (= @t5 @t2)) % 0.62/0.99 (define @t142 () (tptp.c_HOL_Oone__class_Oone @t18)) % 0.62/0.99 (define @t143 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t18))) % 0.62/0.99 (define @t144 () (@list @t18)) % 0.62/0.99 (define @t145 () (tptp.c_fequal @t18)) % 0.62/0.99 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t5 @t71 tptp.tc_nat)) % 0.62/0.99 (define @t147 () (tptp.c_HOL_Oord__class_Oless @t1 @t5 tptp.tc_nat)) % 0.62/0.99 (define @t148 () (tptp.c_HOL_Oord__class_Oless @t1 @t72 tptp.tc_nat)) % 0.62/0.99 (define @t149 () (not @t148)) % 0.62/0.99 (define @t150 () (tptp.hAPP (tptp.hAPP @t26 @t118) @t2)) % 0.62/0.99 (define @t151 () (tptp.hAPP @t103 @t83)) % 0.62/0.99 (define @t152 () (@var "V_s" $$unsorted)) % 0.62/0.99 (define @t153 () (tptp.c_Lambda_OdB_OAbs @t152)) % 0.62/0.99 (define @t154 () (@var "V_c" $$unsorted)) % 0.62/0.99 (define @t155 () (tptp.hAPP @t87 @t15)) % 0.62/0.99 (define @t156 () (tptp.hAPP @t155 @t93)) % 0.62/0.99 (define @t157 () (tptp.hAPP @t115 @t154)) % 0.62/0.99 (define @t158 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t18))) % 0.62/0.99 (define @t159 () (not (tptp.c_HOL_Oord__class_Oless @t56 @t82 tptp.tc_nat))) % 0.62/0.99 (define @t160 () (@list @t126)) % 0.62/0.99 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t32 @t125 tptp.tc_nat)) % 0.62/0.99 (define @t162 () (@list @t32)) % 0.62/0.99 (define @t163 () (tptp.c_List_Ofoldr @t87 @t39 @t21 @t18 @t18)) % 0.62/0.99 (define @t164 () (not (tptp.class_OrderedGroup_Omonoid__add @t18))) % 0.62/0.99 (define @t165 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t18))) % 0.62/0.99 (define @t166 () (tptp.c_Predicate_Oconversep @t41 @t18 @t64)) % 0.62/0.99 (define @t167 () (tptp.hAPP @t58 @t55)) % 0.62/0.99 (define @t168 () (tptp.hAPP @t155 @t154)) % 0.62/0.99 (define @t169 () (tptp.c_HOL_Oord__class_Oless @t157 @t168 @t18)) % 0.62/0.99 (define @t170 () (@list @t18 @t16 @t154 @t15)) % 0.62/0.99 (define @t171 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t18))) % 0.62/0.99 (define @t172 () (@list @t18 @t16 @t15 @t154)) % 0.62/0.99 (define @t173 () (tptp.hAPP @t87 @t154)) % 0.62/0.99 (define @t174 () (tptp.hAPP @t173 @t16)) % 0.62/0.99 (define @t175 () (tptp.c_HOL_Oord__class_Oless @t174 (tptp.hAPP @t173 @t15) @t18)) % 0.62/0.99 (define @t176 () (@list @t18 @t154 @t16 @t15)) % 0.62/0.99 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t105 @t104 tptp.tc_nat)) % 0.62/0.99 (define @t178 () (tptp.hAPP @t26 @t2)) % 0.62/0.99 (define @t179 () (tptp.hAPP @t178 @t118)) % 0.62/0.99 (define @t180 () (tptp.c_HOL_Oord__class_Oless @t72 @t1 tptp.tc_nat)) % 0.62/0.99 (define @t181 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t18)) % 0.62/0.99 (define @t182 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t5 @t18)) % 0.62/0.99 (define @t183 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t18))) % 0.62/0.99 (define @t184 () (@list @t18 @t5 @t1)) % 0.62/0.99 (define @t185 () (not (= @t114 @t118))) % 0.62/0.99 (define @t186 () (@var "V_dB2" $$unsorted)) % 0.62/0.99 (define @t187 () (@var "V_dB1" $$unsorted)) % 0.62/0.99 (define @t188 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t187) @t186)) % 0.62/0.99 (define @t189 () (@list @t187 @t186)) % 0.62/0.99 (define @t190 () (@var "V_dB" $$unsorted)) % 0.62/0.99 (define @t191 () (tptp.c_Lambda_OdB_OAbs @t190)) % 0.62/0.99 (define @t192 () (@list @t190)) % 0.62/0.99 (define @t193 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t16) @t15)))) % 0.62/0.99 (define @t194 () (tptp.hAPP @t133 @t15)) % 0.62/0.99 (define @t195 () (tptp.hAPP @t133 @t16)) % 0.62/0.99 (define @t196 () (tptp.hBOOL (tptp.hAPP @t195 @t154))) % 0.62/0.99 (define @t197 () (@list @t41 @t18 @t16 @t154 @t15)) % 0.62/0.99 (define @t198 () (tptp.hAPP @t41 @t15)) % 0.62/0.99 (define @t199 () (tptp.c_Wellfounded_Oaccp @t41 @t16 @t18)) % 0.62/0.99 (define @t200 () (not @t199)) % 0.62/0.99 (define @t201 () (tptp.c_Wellfounded_Oaccp @t41 @t15 @t18)) % 0.62/0.99 (define @t202 () (@var "V_ts" $$unsorted)) % 0.62/0.99 (define @t203 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t113 @t202 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t204 () (tptp.c_Type_Otyping @t121 @t203 @t122)) % 0.62/0.99 (define @t205 () (not @t204)) % 0.62/0.99 (define @t206 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t122 @t121 @t113 @t202)) % 0.62/0.99 (define @t207 () (@list @t121 @t202 @t122 @t113)) % 0.62/0.99 (define @t208 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t122 @t121 @t113 @t202)) % 0.62/0.99 (define @t209 () (tptp.hAPP @t58 @t83)) % 0.62/0.99 (define @t210 () (tptp.c_Lambda_Olift @t152 @t57)) % 0.62/0.99 (define @t211 () (tptp.c_Lambda_Olift (tptp.c_Lambda_Osubst @t113 @t152 @t55) @t57)) % 0.62/0.99 (define @t212 () (@list @t113 @t152 @t55 @t57)) % 0.62/0.99 (define @t213 () (tptp.hAPP @t96 @t83)) % 0.62/0.99 (define @t214 () (not (tptp.c_HOL_Oord__class_Oless @t57 @t213 tptp.tc_nat))) % 0.62/0.99 (define @t215 () (tptp.c_Lambda_Olift @t113 @t57)) % 0.62/0.99 (define @t216 () (tptp.c_HOL_Oord__class_Oless @t57 @t56 tptp.tc_nat)) % 0.62/0.99 (define @t217 () (tptp.c_Lambda_OdB_OVar @t57)) % 0.62/0.99 (define @t218 () (tptp.c_Lambda_Olift @t217 @t56)) % 0.62/0.99 (define @t219 () (@list @t57 @t56)) % 0.62/0.99 (define @t220 () (@var "V_us" $$unsorted)) % 0.62/0.99 (define @t221 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t217 @t202 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t222 () (not (tptp.c_Type_Otyping @t121 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t221 @t220 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t122))) % 0.62/0.99 (define @t223 () (@var "V_Ts" $$unsorted)) % 0.62/0.99 (define @t224 () (not (tptp.c_Type_Otypings @t121 @t202 @t223))) % 0.62/0.99 (define @t225 () (@var "V_U" $$unsorted)) % 0.62/0.99 (define @t226 () (not (tptp.c_Type_Otyping @t121 @t221 @t225))) % 0.62/0.99 (define @t227 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t122 @t225 @t121 @t220)) % 0.62/0.99 (define @t228 () (tptp.c_HOL_Oord__class_Oless @t21 @t16 @t18)) % 0.62/0.99 (define @t229 () (not @t228)) % 0.62/0.99 (define @t230 () (tptp.hAPP @t115 @t16)) % 0.62/0.99 (define @t231 () (tptp.c_HOL_Oord__class_Oless @t21 @t230 @t18)) % 0.62/0.99 (define @t232 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t18))) % 0.62/0.99 (define @t233 () (@list @t18 @t5)) % 0.62/0.99 (define @t234 () (tptp.c_HOL_Oord__class_Oless @t16 @t21 @t18)) % 0.62/0.99 (define @t235 () (not @t234)) % 0.62/0.99 (define @t236 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t18))) % 0.62/0.99 (define @t237 () (tptp.c_HOL_Oord__class_Oless @t230 @t21 @t18)) % 0.62/0.99 (define @t238 () (not @t237)) % 0.62/0.99 (define @t239 () (not (tptp.class_Ring__and__Field_Oordered__idom @t18))) % 0.62/0.99 (define @t240 () (@list @t18 @t15 @t16 @t154)) % 0.62/0.99 (define @t241 () (tptp.c_HOL_Oord__class_Oless @t182 @t181 @t18)) % 0.62/0.99 (define @t242 () (tptp.c_HOL_Oord__class_Oless @t2 @t114 tptp.tc_nat)) % 0.62/0.99 (define @t243 () (tptp.c_Nat_Osize__class_Osize @t67 @t88)) % 0.62/0.99 (define @t244 () (= @t39 @t67)) % 0.62/0.99 (define @t245 () (tptp.c_Nat_Osize__class_Osize @t39 @t88)) % 0.62/0.99 (define @t246 () (@list @t39 @t18)) % 0.62/0.99 (define @t247 () (tptp.c_HOL_Oord__class_Oless @t56 @t57 tptp.tc_nat)) % 0.62/0.99 (define @t248 () (not @t247)) % 0.62/0.99 (define @t249 () (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t57 @t83 tptp.tc_nat))) % 0.62/0.99 (define @t250 () (tptp.c_Lambda_Osubstn @t217 @t152 @t56)) % 0.62/0.99 (define @t251 () (@list @t57 @t152 @t56)) % 0.62/0.99 (define @t252 () (@var "V_fa" $$unsorted)) % 0.62/0.99 (define @t253 () (@var "V_u" $$unsorted)) % 0.62/0.99 (define @t254 () (tptp.c_Lambda_OdB_OVar @t55)) % 0.62/0.99 (define @t255 () (tptp.c_Lambda_Osubst @t254 @t253 @t57)) % 0.62/0.99 (define @t256 () (@list @t55 @t253 @t57)) % 0.62/0.99 (define @t257 () (tptp.c_Lambda_Osubst @t217 @t152 @t56)) % 0.62/0.99 (define @t258 () (@var "V_type2" $$unsorted)) % 0.62/0.99 (define @t259 () (@var "V_type1" $$unsorted)) % 0.62/0.99 (define @t260 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t259) @t258)) % 0.62/0.99 (define @t261 () (@list @t259 @t258)) % 0.62/0.99 (define @t262 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t1 @t83 tptp.tc_nat))) % 0.62/0.99 (define @t263 () (= @t16 @t21)) % 0.62/0.99 (define @t264 () (not (= @t114 @t2))) % 0.62/0.99 (define @t265 () (tptp.hAPP @t26 @t32)) % 0.62/0.99 (define @t266 () (tptp.hAPP @t87 @t32)) % 0.62/0.99 (define @t267 () (@var "V_zs" $$unsorted)) % 0.62/0.99 (define @t268 () (tptp.hAPP @t266 @t31)) % 0.62/0.99 (define @t269 () (tptp.hAPP @t87 @t31)) % 0.62/0.99 (define @t270 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t18))) % 0.62/0.99 (define @t271 () (tptp.hAPP @t155 @t16)) % 0.62/0.99 (define @t272 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t18))) % 0.62/0.99 (define @t273 () (tptp.c_Lambda_OdB_OAbs @t113)) % 0.62/0.99 (define @t274 () (@list @t113 @t152 @t56)) % 0.62/0.99 (define @t275 () (@var "V_z" $$unsorted)) % 0.62/0.99 (define @t276 () (tptp.hAPP @t26 @t31)) % 0.62/0.99 (define @t277 () (tptp.hAPP @t276 @t275)) % 0.62/0.99 (define @t278 () (tptp.c_HOL_Oord__class_Oless @t32 @t277 tptp.tc_nat)) % 0.62/0.99 (define @t279 () (@list @t32 @t31 @t275)) % 0.62/0.99 (define @t280 () (tptp.c_HOL_Oord__class_Oless @t32 @t31 tptp.tc_nat)) % 0.62/0.99 (define @t281 () (@list @t57 @t5)) % 0.62/0.99 (define @t282 () (tptp.c_Suc @t114)) % 0.62/0.99 (define @t283 () (tptp.hAPP (tptp.hAPP @t26 @t72) @t1)) % 0.62/0.99 (define @t284 () (tptp.hAPP @t100 @t71)) % 0.62/0.99 (define @t285 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t286 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t41))) % 0.62/0.99 (define @t287 () (@list @t41)) % 0.62/0.99 (define @t288 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t113)))) % 0.62/0.99 (define @t289 () (tptp.hAPP @t133 @t31)) % 0.62/0.99 (define @t290 () (not (tptp.hBOOL (tptp.hAPP @t194 @t16)))) % 0.62/0.99 (define @t291 () (@list @t41 @t15 @t18 @t16)) % 0.62/0.99 (define @t292 () (@var "V_A" $$unsorted)) % 0.62/0.99 (define @t293 () (tptp.hAPP @t87 @t21)) % 0.62/0.99 (define @t294 () (tptp.hAPP @t266 (tptp.hAPP @t269 @t275))) % 0.62/0.99 (define @t295 () (@list @t18 @t32 @t31 @t275)) % 0.62/0.99 (define @t296 () (tptp.hAPP @t266 @t275)) % 0.62/0.99 (define @t297 () (tptp.hAPP @t265 @t275)) % 0.62/0.99 (define @t298 () (tptp.hAPP @t115 @t168)) % 0.62/0.99 (define @t299 () (tptp.hAPP @t87 @t116)) % 0.62/0.99 (define @t300 () (tptp.hAPP @t299 @t154)) % 0.62/0.99 (define @t301 () (= @t300 @t298)) % 0.62/0.99 (define @t302 () (tptp.hAPP @t87 @t157)) % 0.62/0.99 (define @t303 () (tptp.hAPP @t173 @t93)) % 0.62/0.99 (define @t304 () (tptp.hAPP @t115 @t303)) % 0.62/0.99 (define @t305 () (@list @t18 @t16 @t154 @t93)) % 0.62/0.99 (define @t306 () (@var "V_a2" $$unsorted)) % 0.62/0.99 (define @t307 () (@var "V_a1" $$unsorted)) % 0.62/0.99 (define @t308 () (tptp.hBOOL (tptp.hAPP @t198 @t16))) % 0.62/0.99 (define @t309 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t166 @t16) @t15))) % 0.62/0.99 (define @t310 () (tptp.c_List_Olist_ONil @t64)) % 0.62/0.99 (define @t311 () (tptp.hAPP @t87 @t142)) % 0.62/0.99 (define @t312 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t41 @t18 @t18) @t18) @t32) @t31))) % 0.62/0.99 (define @t313 () (tptp.hBOOL (tptp.hAPP @t289 @t32))) % 0.62/0.99 (define @t314 () (= @t31 @t275)) % 0.62/0.99 (define @t315 () (= @t15 @t154)) % 0.62/0.99 (define @t316 () (not (= @t116 @t157))) % 0.62/0.99 (define @t317 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t18))) % 0.62/0.99 (define @t318 () (@var "V_v" $$unsorted)) % 0.62/0.99 (define @t319 () (tptp.c_Lambda_Osubst @t113 @t253 @t57)) % 0.62/0.99 (define @t320 () (tptp.c_HOL_Oord__class_Oless @t32 @t32 tptp.tc_nat)) % 0.62/0.99 (define @t321 () (tptp.c_Lambda_Olift @t113 @t56)) % 0.62/0.99 (define @t322 () (= (tptp.hAPP @t293 @t16) @t16)) % 0.62/0.99 (define @t323 () (= (tptp.hAPP @t115 @t21) @t16)) % 0.62/0.99 (define @t324 () (tptp.c_HOL_Oord__class_Oless @t72 @t71 tptp.tc_nat)) % 0.62/0.99 (define @t325 () (@var "V_s_H" $$unsorted)) % 0.62/0.99 (define @t326 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t327 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t326 @t152) @t325)))) % 0.62/0.99 (define @t328 () (@var "V_t_H" $$unsorted)) % 0.62/0.99 (define @t329 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t326 @t113) @t328)))) % 0.62/0.99 (define @t330 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t325)) % 0.62/0.99 (define @t331 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t152)) % 0.62/0.99 (define @t332 () (tptp.hAPP @t331 @t113)) % 0.62/0.99 (define @t333 () (tptp.hAPP @t326 @t332)) % 0.62/0.99 (define @t334 () (tptp.c_Lambda_OdB_OAbs @t41)) % 0.62/0.99 (define @t335 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t334) @t152)))) % 0.62/0.99 (define @t336 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 @t41 @t152)) % 0.62/0.99 (define @t337 () (tptp.hAPP tptp.c_Lambda_Obeta @t41)) % 0.62/0.99 (define @t338 () (@list @t41 @t152)) % 0.62/0.99 (define @t339 () (tptp.c_Lambda_OdB_OVar @t127)) % 0.62/0.99 (define @t340 () (@list @t127)) % 0.62/0.99 (define @t341 () (not (tptp.hBOOL (tptp.hAPP @t337 @t152)))) % 0.62/0.99 (define @t342 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t326 (tptp.c_Lambda_Osubst @t113 @t41 @t57)) (tptp.c_Lambda_Osubst @t113 @t152 @t57)))) % 0.62/0.99 (define @t343 () (@list @t113 @t41 @t57 @t152)) % 0.62/0.99 (define @t344 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t326 @t41) @t152)))) % 0.62/0.99 (define @t345 () (tptp.c_Lambda_Osubst @t152 @t113 @t57)) % 0.62/0.99 (define @t346 () (tptp.c_Lambda_Osubst @t41 @t113 @t57)) % 0.62/0.99 (define @t347 () (@list @t41 @t113 @t57 @t152)) % 0.62/0.99 (define @t348 () (@var "V_rs" $$unsorted)) % 0.62/0.99 (define @t349 () (tptp.c_Lambda_OdB_OVar @t1)) % 0.62/0.99 (define @t350 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t349 @t348 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t351 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t350) @t318)))) % 0.62/0.99 (define @t352 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t1 @t348 @t318)) % 0.62/0.99 (define @t353 () (not (tptp.c_Type_Otyping @t121 @t221 @t122))) % 0.62/0.99 (define @t354 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t122 @t121 @t57 @t202)) % 0.62/0.99 (define @t355 () (not (tptp.c_Type_Otyping @t121 @t113 @t122))) % 0.62/0.99 (define @t356 () (tptp.c_Type_Otyping @t121 @t328 @t122)) % 0.62/0.99 (define @t357 () (@list @t121 @t328 @t122 @t113)) % 0.62/0.99 (define @t358 () (@list @t121 @t113 @t122 @t202)) % 0.62/0.99 (define @t359 () (tptp.c_Lambda_Olift @t41 @t57)) % 0.62/0.99 (define @t360 () (@list @t41 @t57 @t152)) % 0.62/0.99 (define @t361 () (tptp.c_Lambda_Oliftn @t1 @t113 @t56)) % 0.62/0.99 (define @t362 () (@var "V_ss" $$unsorted)) % 0.62/0.99 (define @t363 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t334) @t152) @t362 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t364 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t41 @t152 @t2) @t362 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t365 () (@list @t41 @t152 @t362)) % 0.62/0.99 (define @t366 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t41 @t362 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t367 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t152 @t362 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t368 () (@list @t41 @t362 @t152)) % 0.62/0.99 (define @t369 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t370 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t41) @t152)) % 0.62/0.99 (define @t371 () (tptp.c_Lambda_Oliftn @t1 @t217 @t56)) % 0.62/0.99 (define @t372 () (@list @t1 @t57 @t56)) % 0.62/0.99 (define @t373 () (tptp.c_HOL_Oord__class_Oless @t21 @t181 @t18)) % 0.62/0.99 (define @t374 () (@list @t18 @t1)) % 0.62/0.99 (define @t375 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t113)) % 0.62/0.99 (define @t376 () (@list @t113 @t57)) % 0.62/0.99 (define @t377 () (tptp.c_Lambda_OdB_OVar @t32)) % 0.62/0.99 (define @t378 () (@list @t32 @t152)) % 0.62/0.99 (define @t379 () (= @t362 @t369)) % 0.62/0.99 (define @t380 () (tptp.c_Lambda_OdB_OVar @t5)) % 0.62/0.99 (define @t381 () (not (= @t380 @t367))) % 0.62/0.99 (define @t382 () (@list @t5 @t152 @t362)) % 0.62/0.99 (define @t383 () (not @t216)) % 0.62/0.99 (define @t384 () (@var "V_f1" $$unsorted)) % 0.62/0.99 (define @t385 () (tptp.hAPP @t384 @t127)) % 0.62/0.99 (define @t386 () (@var "V_f3" $$unsorted)) % 0.62/0.99 (define @t387 () (@var "V_f2" $$unsorted)) % 0.62/0.99 (define @t388 () (@list @t384 @t387 @t386 @t127 @t18)) % 0.62/0.99 (define @t389 () (tptp.c_HOL_Oord__class_Oless @t31 @t32 @t18)) % 0.62/0.99 (define @t390 () (not @t389)) % 0.62/0.99 (define @t391 () (not (tptp.class_Orderings_Oorder @t18))) % 0.62/0.99 (define @t392 () (not (tptp.class_Orderings_Opreorder @t18))) % 0.62/0.99 (define @t393 () (= @t57 @t56)) % 0.62/0.99 (define @t394 () (not (tptp.c_HOL_Oord__class_Oless @t32 @t32 @t18))) % 0.62/0.99 (define @t395 () (not (tptp.class_Orderings_Olinorder @t18))) % 0.62/0.99 (define @t396 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t153) @t113)) % 0.62/0.99 (define @t397 () (@list @t152 @t113)) % 0.62/0.99 (define @t398 () (@list @t18 @t31 @t32)) % 0.62/0.99 (define @t399 () (not (tptp.c_HOL_Oord__class_Oless @t55 @t57 tptp.tc_nat))) % 0.62/0.99 (define @t400 () (not @t286)) % 0.62/0.99 (define @t401 () (@var "V_type2_H" $$unsorted)) % 0.62/0.99 (define @t402 () (@var "V_type1_H" $$unsorted)) % 0.62/0.99 (define @t403 () (not (= @t260 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t402) @t401)))) % 0.62/0.99 (define @t404 () (@list @t259 @t258 @t402 @t401)) % 0.62/0.99 (define @t405 () (= @t348 @t362)) % 0.62/0.99 (define @t406 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t349 @t362 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t407 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t380 @t348 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t406))) % 0.62/0.99 (define @t408 () (@list @t5 @t348 @t1 @t362)) % 0.62/0.99 (define @t409 () (not (tptp.c_Type_Otyping @t121 @t273 @t122))) % 0.62/0.99 (define @t410 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t122 @t121 @t113)) % 0.62/0.99 (define @t411 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t122 @t121 @t113)) % 0.62/0.99 (define @t412 () (@var "V_xd" $$unsorted)) % 0.62/0.99 (define @t413 () (not (tptp.c_HOL_Oord__class_Oless @t15 @t16 @t18))) % 0.62/0.99 (define @t414 () (@var "V_T_H" $$unsorted)) % 0.62/0.99 (define @t415 () (tptp.c_Type_Oshift @t121 @t57 tptp.v_T____ tptp.tc_Type_Otype)) % 0.62/0.99 (define @t416 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t253)))) % 0.62/0.99 (define @t417 () (not (tptp.c_Type_Otyping @t121 @t253 tptp.v_T____))) % 0.62/0.99 (define @t418 () (@list @t253 @t57 @t121 @t414)) % 0.62/0.99 (define @t419 () (tptp.hAPP @t375 @t253)) % 0.62/0.99 (define @t420 () (@list @t113 @t253 @t152 @t56)) % 0.62/0.99 (define @t421 () (@var "V_dB_H" $$unsorted)) % 0.62/0.99 (define @t422 () (tptp.c_Lambda_OdB_OAbs @t421)) % 0.62/0.99 (define @t423 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst tptp.v_r____ tptp.v_a____ @t2) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t424 () (@var "V_xc" $$unsorted)) % 0.62/0.99 (define @t425 () (@var "V_xb" $$unsorted)) % 0.62/0.99 (define @t426 () (tptp.hAPP (tptp.hAPP @t387 @t187) @t186)) % 0.62/0.99 (define @t427 () (tptp.hAPP @t386 @t190)) % 0.62/0.99 (define @t428 () (@list @t384 @t387 @t386 @t190 @t18)) % 0.62/0.99 (define @t429 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t122) @t225)) % 0.62/0.99 (define @t430 () (@var "V_env" $$unsorted)) % 0.62/0.99 (define @t431 () (not (= @t367 @t334))) % 0.62/0.99 (define @t432 () (@list @t152 @t362 @t41)) % 0.62/0.99 (define @t433 () (= @t41 @t152)) % 0.62/0.99 (define @t434 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t334 @t348 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t153 @t362 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.62/0.99 (define @t435 () (@list @t41 @t348 @t152 @t362)) % 0.62/0.99 (define @t436 () (@var "V_dB1_H" $$unsorted)) % 0.62/0.99 (define @t437 () (@var "V_dB2_H" $$unsorted)) % 0.62/0.99 (define @t438 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t436) @t437)) % 0.62/0.99 (define @t439 () (not (= @t188 @t438))) % 0.62/0.99 (define @t440 () (@list @t187 @t186 @t436 @t437)) % 0.62/0.99 (define @t441 () (not (= @t334 @t367))) % 0.62/0.99 (define @t442 () (@var "V_Ta" $$unsorted)) % 0.62/0.99 (define @t443 () (@var "V_T2" $$unsorted)) % 0.62/0.99 (define @t444 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t319))) % 0.62/0.99 (define @t445 () (@var "V_T1" $$unsorted)) % 0.62/0.99 (define @t446 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t445) @t443)))) % 0.62/0.99 (define @t447 () (@list @t445 @t443 @t113 @t253 @t57 @t121 @t442)) % 0.62/0.99 (define @t448 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs tptp.v_r____)) tptp.v_a____)) % 0.62/0.99 (define @t449 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t448 tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t450 () (@list @t384 @t387 @t386 @t187 @t186 @t18)) % 0.62/0.99 (define @t451 () (not (tptp.c_Type_Otyping @t121 @t419 @t122))) % 0.62/0.99 (define @t452 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t122 @t121 @t113 @t253)) % 0.62/0.99 (define @t453 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.62/0.99 (define @t454 () (tptp.c_Type_Otyping @t453 @t449 tptp.v_T_H____)) % 0.62/0.99 (define @t455 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t334 @t369 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.62/0.99 (define @t456 () (not (tptp.c_Type_Otyping @t453 @t448 @t225))) % 0.62/0.99 (define @t457 () (@list @t225)) % 0.62/0.99 (define @t458 () (forall @t457 (or tptp.v_thesis____ @t456))) % 0.62/0.99 (define @t459 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t152) @t113)))) % 0.62/0.99 (define @t460 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t253)) % 0.62/0.99 (define @t461 () (@var "V_e_H" $$unsorted)) % 0.62/0.99 (define @t462 () (@var "T_1" $$unsorted)) % 0.62/0.99 (define @t463 () (@var "T_2" $$unsorted)) % 0.62/0.99 (define @t464 () (tptp.tc_fun @t463 @t462)) % 0.62/0.99 (define @t465 () (@list @t463 @t462)) % 0.62/0.99 (define @t466 () (@var "V_Y" $$unsorted)) % 0.62/0.99 (define @t467 () (@var "V_X" $$unsorted)) % 0.62/0.99 (define @t468 () (forall @t457 @t456)) % 0.62/0.99 (define @t469 () (not @t454)) % 0.62/0.99 (define @t470 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 tptp.v_T_H____ @t453 @t448 tptp.v_as____) tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 0.62/0.99 (define @t471 () (tptp.c_Type_Otyping @t453 @t448 @t470)) % 0.62/0.99 (define @t472 () (or @t471 @t469)) % 0.62/0.99 (define @t473 () (@list false false)) % 0.62/0.99 (assume @p1 (forall @t9 (or (tptp.c_HOL_Oord__class_Oless @t8 @t5 tptp.tc_nat) @t7 @t4))) % 0.62/0.99 (assume @p2 (forall @t14 (or @t13 @t11))) % 0.62/0.99 (assume @p3 (forall @t9 (or @t10 (not @t13)))) % 0.62/0.99 (assume @p4 (forall (@list @t17 @t16 @t15) (or (tptp.hBOOL (tptp.hAPP @t17 @t2)) (not (tptp.c_HOL_Oord__class_Oless @t16 @t15 tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP @t17 (tptp.c_HOL_Ominus__class_Ominus @t16 @t15 tptp.tc_nat))))))) % 0.62/0.99 (assume @p5 (forall @t25 (or @t24 @t23 @t20))) % 0.62/0.99 (assume @p6 (forall @t25 (or @t24 @t19 (not @t23)))) % 0.62/0.99 (assume @p7 (forall @t14 (or (= (tptp.hAPP @t27 @t8) @t5) @t10))) % 0.62/0.99 (assume @p8 (forall @t37 (or @t24 @t36 @t33 (not @t30)))) % 0.62/0.99 (assume @p9 (forall @t37 (or @t24 @t36 @t30 @t38))) % 0.62/0.99 (assume @p10 (forall (@list @t41 @t32 @t40 @t18 @t39) (or (tptp.c_ListOrder_Ostep1 @t41 (tptp.c_List_Olist_OCons @t32 @t40 @t18) @t43 @t18) (not @t42)))) % 0.62/0.99 (assume @p11 (forall @t47 (or @t42 @t46 @t44))) % 0.62/0.99 (assume @p12 (forall @t54 (or @t53 (= @t49 @t48)))) % 0.62/0.99 (assume @p13 (forall @t54 (or @t53 (= @t16 @t50)))) % 0.62/0.99 (assume @p14 (forall @t62 (or @t61 (not @t60)))) % 0.62/0.99 (assume @p15 (forall @t63 (or @t60 (not @t61)))) % 0.62/0.99 (assume @p16 (forall (@list @t65 @t32 @t39 @t64 @t16 @t18) (= (tptp.c_List_Ofoldr @t65 @t66 @t16 @t64 @t18) (tptp.hAPP (tptp.hAPP @t65 @t32) (tptp.c_List_Ofoldr @t65 @t39 @t16 @t64 @t18))))) % 0.62/0.99 (assume @p17 (forall (@list @t18 @t50 @t48) (not (= @t67 @t51)))) % 0.62/0.99 (assume @p18 (forall @t14 (or (not (= @t12 @t2)) (not (= @t8 @t2)) @t68))) % 0.62/0.99 (assume @p19 (forall @t47 (or @t42 @t69 @t44))) % 0.62/0.99 (assume @p20 (forall (@list @t55 @t1 @t56) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t55 @t1 tptp.tc_nat) @t56 tptp.tc_nat) @t70))) % 0.62/0.99 (assume @p21 (forall @t9 (= (tptp.c_HOL_Ominus__class_Ominus @t72 @t71 tptp.tc_nat) @t8))) % 0.62/0.99 (assume @p22 (forall @t73 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t2 tptp.tc_nat) @t5))) % 0.62/0.99 (assume @p23 (forall @t73 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 tptp.tc_nat) @t2))) % 0.62/0.99 (assume @p24 (forall @t78 (or @t77 @t76 @t75))) % 0.62/0.99 (assume @p25 (forall @t80 (or @t79 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t16 @t18) @t21)))) % 0.62/0.99 (assume @p26 (forall @t80 (or @t79 (= (tptp.c_HOL_Ominus__class_Ominus @t16 @t21 @t18) @t16)))) % 0.62/0.99 (assume @p27 (forall @t78 (or @t79 @t75))) % 0.62/0.99 (assume @p28 (forall @t78 (or @t81 @t75))) % 0.62/0.99 (assume @p29 (forall (@list @t82 @t1 @t5) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t82 @t1 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t82 @t5 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t5 @t82 tptp.tc_nat)) @t11))) % 0.62/0.99 (assume @p30 (forall @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t71 @t83 tptp.tc_nat) @t1))) % 0.62/0.99 (assume @p31 (forall (@list @t41 @t31 @t85 @t32 @t18) (or (not (tptp.hBOOL (tptp.hAPP @t45 @t85))) (tptp.c_ListOrder_Ostep1 @t41 (tptp.c_List_Olist_OCons @t31 @t32 @t18) (tptp.c_List_Olist_OCons @t85 @t32 @t18) @t18)))) % 0.62/0.99 (assume @p32 (forall (@list @t32 @t31 @t39 @t40 @t41 @t18) (or @t86 @t69 @t44))) % 0.62/0.99 (assume @p33 (forall @t25 (or @t79 (= (tptp.hAPP (tptp.hAPP @t87 @t22) @t15) @t16)))) % 0.62/0.99 (assume @p34 (forall (@list @t85 @t18 @t32) (= @t91 @t90))) % 0.62/0.99 (assume @p35 (forall (@list @t17 @t15 @t32) (or (not (tptp.hBOOL (tptp.hAPP @t17 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t92 @t32) @t15 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t17 @t32))))) % 0.62/0.99 (assume @p36 (forall (@list @t17 @t15 @t93) (or (not (tptp.hBOOL (tptp.hAPP @t17 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t92 @t93) @t15 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t17 @t93))))) % 0.62/0.99 (assume @p37 (forall @t94 (= @t90 @t91))) % 0.62/0.99 (assume @p38 (forall @t9 (tptp.c_HOL_Oord__class_Oless @t8 @t72 tptp.tc_nat))) % 0.62/0.99 (assume @p39 (forall @t14 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t95 tptp.tc_nat) @t2))) % 0.62/0.99 (assume @p40 (forall @t62 (= @t98 (tptp.c_HOL_Ominus__class_Ominus @t57 @t97 tptp.tc_nat)))) % 0.62/0.99 (assume @p41 (forall (@list @t18 @t85 @t31 @t32) (or @t81 (not (= (tptp.c_HOL_Ominus__class_Ominus @t85 @t31 @t18) @t74)) (= @t85 @t31)))) % 0.62/0.99 (assume @p42 (forall (@list @t18 @t32 @t29 @t28) (or @t81 (not (= @t74 @t34)) (= @t29 @t28)))) % 0.62/0.99 (assume @p43 (forall (@list @t65 @t16 @t32 @t39 @t64 @t18) (= (tptp.c_List_Ofoldl @t65 @t16 @t66 @t18 @t64) (tptp.c_List_Ofoldl @t65 (tptp.hAPP (tptp.hAPP @t65 @t16) @t32) @t39 @t18 @t64)))) % 0.62/0.99 (assume @p44 (forall @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t1 tptp.tc_nat) @t2))) % 0.62/0.99 (assume @p45 (forall @t102 (= (tptp.c_HOL_Ominus__class_Ominus @t101 @t99 tptp.tc_nat) @t8))) % 0.62/0.99 (assume @p46 (forall @t106 (= (tptp.c_HOL_Ominus__class_Ominus @t105 @t104 tptp.tc_nat) @t8))) % 0.62/0.99 (assume @p47 (forall @t107 (or @t77 @t76 (not (= @t35 @t21)) @t86))) % 0.62/0.99 (assume @p48 (forall @t25 (or @t79 @t109 @t108))) % 0.62/0.99 (assume @p49 (forall @t25 (or @t81 @t109 @t108))) % 0.62/0.99 (assume @p50 (forall @t62 (= @t98 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t57 @t56 tptp.tc_nat) @t55 tptp.tc_nat)))) % 0.62/0.99 (assume @p51 (forall @t94 (not (= @t89 @t67)))) % 0.62/0.99 (assume @p52 (forall (@list @t50 @t48 @t18) (not (= @t51 @t67)))) % 0.62/0.99 (assume @p53 (forall (@list @t32 @t31 @t41 @t40 @t18 @t39) (or @t86 @t46 @t44))) % 0.62/0.99 (assume @p54 (forall @t111 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t72 @t1 tptp.tc_nat) @t110 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t8 @t56 tptp.tc_nat)))) % 0.62/0.99 (assume @p55 (forall @t9 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t71 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t112 @t1 tptp.tc_nat)))) % 0.62/0.99 (assume @p56 (forall (@list @t32 @t113 @t18) (not (= (tptp.c_List_Olist_OCons @t32 @t113 @t18) @t113)))) % 0.62/0.99 (assume @p57 (forall (@list @t39 @t32 @t18) (not (= @t39 @t43)))) % 0.62/0.99 (assume @p58 (forall @t9 (= (tptp.c_HOL_Ominus__class_Ominus @t114 @t1 tptp.tc_nat) @t5))) % 0.62/0.99 (assume @p59 (forall @t14 (= (tptp.c_HOL_Ominus__class_Ominus @t95 @t1 tptp.tc_nat) @t5))) % 0.62/0.99 (assume @p60 (forall @t25 (or @t79 (= (tptp.c_HOL_Ominus__class_Ominus @t116 @t15 @t18) @t16)))) % 0.62/0.99 (assume @p61 (forall (@list @t1 @t57) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t1 @t117 tptp.tc_nat) @t1 tptp.tc_nat) @t4))) % 0.62/0.99 (assume @p62 (forall @t84 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t1 @t118 tptp.tc_nat)) @t1) @t4))) % 0.62/0.99 (assume @p63 (forall @t124 (or (= @t123 (tptp.hAPP @t121 @t120)) @t119))) % 0.62/0.99 (assume @p64 (forall (@list @t32 @t31) (or (not (= @t125 (tptp.c_Suc @t31))) @t86))) % 0.62/0.99 (assume @p65 (forall @t130 (or (not (= (tptp.c_Suc @t127) @t129)) @t128))) % 0.62/0.99 (assume @p66 (forall (@list @t18 @t39 @t16) (or @t132 (= (tptp.c_List_Ofoldr @t87 @t39 @t16 @t18 @t18) @t131)))) % 0.62/0.99 (assume @p67 (= @t83 @t118)) % 0.62/0.99 (assume @p68 (forall @t136 (or @t135 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t32) @t31)))))) % 0.62/0.99 (assume @p69 (forall (@list @t41 @t18 @t39) (not (tptp.c_ListOrder_Ostep1 @t41 @t67 @t39 @t18)))) % 0.62/0.99 (assume @p70 (forall (@list @t41 @t39 @t18) (not (tptp.c_ListOrder_Ostep1 @t41 @t39 @t67 @t18)))) % 0.62/0.99 (assume @p71 (forall @t9 (or @t139 @t138 @t137))) % 0.62/0.99 (assume @p72 (forall @t9 (or @t139 @t141 @t140))) % 0.62/0.99 (assume @p73 (forall @t144 (or @t143 (not (= @t142 @t21))))) % 0.62/0.99 (assume @p74 (forall @t144 (= (tptp.c_Predicate_Oconversep @t145 @t18 @t18) @t145))) % 0.62/0.99 (assume @p75 (forall @t9 (or @t68 @t10 (not @t146)))) % 0.62/0.99 (assume @p76 (forall @t9 (or @t68 @t149 @t147))) % 0.62/0.99 (assume @p77 (forall @t14 (or (= @t1 @t5) @t149 @t147))) % 0.62/0.99 (assume @p78 (= @t118 @t150)) % 0.62/0.99 (assume @p79 (forall (@list @t1 @t152 @t56) (= (tptp.c_Lambda_Oliftn @t1 @t153 @t56) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t1 @t152 @t151))))) % 0.62/0.99 (assume @p80 (forall (@list @t18 @t16 @t154 @t15 @t93) (or @t158 (tptp.c_HOL_Oord__class_Oless @t157 @t156 @t18) (not (tptp.c_HOL_Oord__class_Oless @t154 @t93 @t18)) @t20))) % 0.62/0.99 (assume @p81 (forall (@list @t57 @t56 @t55 @t82) (or (tptp.c_HOL_Oord__class_Oless @t59 (tptp.hAPP @t96 @t82) tptp.tc_nat) @t159 @t119))) % 0.62/0.99 (assume @p82 (forall @t160 (not (= @t129 @t2)))) % 0.62/0.99 (assume @p83 (forall @t73 (not (= @t72 @t2)))) % 0.62/0.99 (assume @p84 (forall @t84 (tptp.c_HOL_Oord__class_Oless @t1 @t71 tptp.tc_nat))) % 0.62/0.99 (assume @p85 (forall @t162 @t161)) % 0.62/0.99 (assume @p86 (forall @t63 (or (tptp.c_HOL_Oord__class_Oless @t117 @t56 tptp.tc_nat) @t70 @t119))) % 0.62/0.99 (assume @p87 (forall (@list @t18 @t39) (or @t164 (= (tptp.c_List_Ofoldl @t87 @t21 @t39 @t18 @t18) @t163)))) % 0.62/0.99 (assume @p88 (forall @t80 (or @t165 (tptp.c_HOL_Oord__class_Oless @t16 (tptp.hAPP @t115 @t142) @t18)))) % 0.62/0.99 (assume @p89 (forall (@list @t41 @t18 @t64) (= (tptp.c_Predicate_Oconversep @t166 @t64 @t18) @t41))) % 0.62/0.99 (assume @p90 (forall (@list @t57 @t55) (not (tptp.c_HOL_Oord__class_Oless @t167 @t57 tptp.tc_nat)))) % 0.62/0.99 (assume @p91 (forall (@list @t55 @t57) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t96 @t57) @t57 tptp.tc_nat)))) % 0.62/0.99 (assume @p92 (forall @t84 (not (= @t71 @t1)))) % 0.62/0.99 (assume @p93 (forall @t84 (not (= @t1 @t71)))) % 0.62/0.99 (assume @p94 (forall @t170 (or @t158 @t169 @t20))) % 0.62/0.99 (assume @p95 (forall @t170 (or @t171 @t169 @t20))) % 0.62/0.99 (assume @p96 (forall @t172 (or @t171 @t19 (not @t169)))) % 0.62/0.99 (assume @p97 (forall @t176 (or @t158 @t175 @t20))) % 0.62/0.99 (assume @p98 (forall @t176 (or @t171 @t175 @t20))) % 0.62/0.99 (assume @p99 (forall @t172 (or @t171 @t19 (not @t175)))) % 0.62/0.99 (assume @p100 (forall @t63 (or (tptp.c_HOL_Oord__class_Oless @t59 @t97 tptp.tc_nat) @t119))) % 0.62/0.99 (assume @p101 (forall @t111 (or @t10 (not @t177)))) % 0.62/0.99 (assume @p102 (forall @t106 (or @t177 @t11))) % 0.62/0.99 (assume @p103 (= @t179 @t118)) % 0.62/0.99 (assume @p104 (forall @t9 (or @t10 (not @t180)))) % 0.62/0.99 (assume @p105 (forall @t9 (or @t146 @t11))) % 0.62/0.99 (assume @p106 (forall @t184 (or @t183 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t114 @t18) (tptp.hAPP (tptp.hAPP @t87 @t182) @t181))))) % 0.62/0.99 (assume @p107 (forall @t9 (or @t185 @t138 @t137))) % 0.62/0.99 (assume @p108 (forall @t9 (or @t185 @t141 @t140))) % 0.62/0.99 (assume @p109 (forall @t189 (= (tptp.c_Lambda_OdB_OdB__size @t188) (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Lambda_OdB_OdB__size @t187)) (tptp.c_Lambda_OdB_OdB__size @t186))) @t118)))) % 0.62/0.99 (assume @p110 (forall (@list @t152 @t56) (= (tptp.c_Lambda_Olift @t153 @t56) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Olift @t152 @t151))))) % 0.62/0.99 (assume @p111 (forall @t192 (= (tptp.c_Lambda_OdB_OdB__size @t191) (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Lambda_OdB_OdB__size @t190)) @t118)))) % 0.62/0.99 (assume @p112 (forall @t197 (or @t196 (not (tptp.hBOOL (tptp.hAPP @t194 @t154))) @t193))) % 0.62/0.99 (assume @p113 (forall @t197 (or @t196 (not (tptp.hBOOL (tptp.hAPP @t198 @t154))) (not (tptp.hBOOL (tptp.hAPP @t195 @t15)))))) % 0.62/0.99 (assume @p114 (forall (@list @t41 @t31 @t18 @t16) (or (tptp.c_Wellfounded_Oaccp @t41 @t31 @t18) (not (tptp.hBOOL (tptp.hAPP @t45 @t16))) @t200))) % 0.62/0.99 (assume @p115 (forall (@list @t41 @t16 @t18 @t15) (or @t199 @t193 (not @t201)))) % 0.62/0.99 (assume @p116 (forall @t207 (or (tptp.c_Type_Otypings @t121 @t202 @t206) @t205))) % 0.62/0.99 (assume @p117 (forall @t207 (or (tptp.c_Type_Otypings @t121 @t202 @t208) @t205))) % 0.62/0.99 (assume @p118 (forall @t212 (or (= @t211 (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift @t113 @t209) @t210 @t55)) (not (tptp.c_HOL_Oord__class_Oless @t55 @t209 tptp.tc_nat))))) % 0.62/0.99 (assume @p119 (forall @t212 (or (= @t211 (tptp.c_Lambda_Osubst @t215 @t210 @t213)) @t214))) % 0.62/0.99 (assume @p120 (forall @t219 (or (= @t218 (tptp.c_Lambda_OdB_OVar @t209)) @t216))) % 0.62/0.99 (assume @p121 (forall (@list @t225 @t122 @t121 @t220 @t57 @t202 @t223) (or (= @t225 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t227 @t122 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t226 @t224 @t222))) % 0.62/0.99 (assume @p122 (forall @t80 (or @t232 @t231 @t229))) % 0.62/0.99 (assume @p123 (forall @t80 (or @t232 @t228 (not @t231)))) % 0.62/0.99 (assume @p124 (forall @t233 (or @t165 (not (tptp.c_HOL_Oord__class_Oless @t182 @t21 @t18))))) % 0.62/0.99 (assume @p125 (forall @t25 (or @t236 (tptp.c_HOL_Oord__class_Oless @t116 @t21 @t18) (not (tptp.c_HOL_Oord__class_Oless @t15 @t21 @t18)) @t235))) % 0.62/0.99 (assume @p126 (forall @t80 (or @t232 @t237 @t235))) % 0.62/0.99 (assume @p127 (forall @t80 (or @t232 @t234 @t238))) % 0.62/0.99 (assume @p128 (forall @t80 (or @t239 @t234 @t238))) % 0.62/0.99 (assume @p129 (forall @t80 (or @t239 @t237 @t235))) % 0.62/0.99 (assume @p130 (forall @t144 (or @t165 (not (tptp.c_HOL_Oord__class_Oless @t142 @t21 @t18))))) % 0.62/0.99 (assume @p131 (forall @t25 (or @t236 (tptp.c_HOL_Oord__class_Oless @t21 @t116 @t18) (not (tptp.c_HOL_Oord__class_Oless @t21 @t15 @t18)) @t229))) % 0.62/0.99 (assume @p132 (forall @t144 (or @t165 (tptp.c_HOL_Oord__class_Oless @t21 @t142 @t18)))) % 0.62/0.99 (assume @p133 (forall @t240 (or @t165 (tptp.c_HOL_Oord__class_Oless @t15 @t157 @t18) (not (tptp.c_HOL_Oord__class_Oless @t15 @t154 @t18)) @t229))) % 0.62/0.99 (assume @p134 (forall @t144 (or @t183 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t2 @t18) @t21)))) % 0.62/0.99 (assume @p135 (forall @t184 (or @t165 @t241 @t11))) % 0.62/0.99 (assume @p136 (forall @t184 (or @t165 @t10 (not @t241)))) % 0.62/0.99 (assume @p137 (forall @t9 (or @t242 @t7))) % 0.62/0.99 (assume @p138 (forall @t9 (or @t242 @t4))) % 0.62/0.99 (assume @p139 (forall @t162 (tptp.c_HOL_Oord__class_Oless @t2 @t125 tptp.tc_nat))) % 0.62/0.99 (assume @p140 (forall @t84 (tptp.c_HOL_Oord__class_Oless @t2 @t71 tptp.tc_nat))) % 0.62/0.99 (assume @p141 (forall @t14 (or @t3 @t6 (not @t242)))) % 0.62/0.99 (assume @p142 (forall @t84 (or @t140 (not (tptp.c_HOL_Oord__class_Oless @t1 @t118 tptp.tc_nat))))) % 0.62/0.99 (assume @p143 (tptp.c_HOL_Oord__class_Oless @t2 @t118 tptp.tc_nat)) % 0.62/0.99 (assume @p144 (forall @t144 (= @t243 @t2))) % 0.62/0.99 (assume @p145 (forall @t246 (or (not (= @t245 @t2)) @t244))) % 0.62/0.99 (assume @p146 (forall @t251 (or (= @t250 @t249) @t248))) % 0.62/0.99 (assume @p147 (forall (@list @t252 @t16 @t49 @t18) (= (tptp.c_List_Olist_Olist__size @t252 @t52 @t18) (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t252 @t16)) (tptp.c_List_Olist_Olist__size @t252 @t49 @t18))) @t118)))) % 0.62/0.99 (assume @p148 (forall @t256 (or (= @t255 (tptp.c_Lambda_OdB_OVar @t120)) @t119))) % 0.62/0.99 (assume @p149 (forall @t251 (or (= @t257 @t249) @t248))) % 0.62/0.99 (assume @p150 (forall @t261 (= (tptp.c_Type_Otype_Otype__size @t260) (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Type_Otype_Otype__size @t259)) (tptp.c_Type_Otype_Otype__size @t258))) @t118)))) % 0.62/0.99 (assume @p151 (forall @t261 (= (tptp.c_Nat_Osize__class_Osize @t260 tptp.tc_Type_Otype) (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Nat_Osize__class_Osize @t259 tptp.tc_Type_Otype)) (tptp.c_Nat_Osize__class_Osize @t258 tptp.tc_Type_Otype))) @t118)))) % 0.62/0.99 (assume @p152 (forall @t9 (or (= @t114 (tptp.c_Suc (tptp.hAPP (tptp.hAPP @t26 @t112) @t1))) @t141))) % 0.62/0.99 (assume @p153 (forall @t84 (or (= @t262 @t1) @t4))) % 0.62/0.99 (assume @p154 (forall @t84 (or (= @t1 @t262) @t4))) % 0.62/0.99 (assume @p155 (forall (@list @t16 @t49 @t18) (= (tptp.c_Nat_Osize__class_Osize @t52 @t88) (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Nat_Osize__class_Osize @t49 @t88)) @t118)))) % 0.62/0.99 (assume @p156 (forall @t80 (or @t232 (not (= @t230 @t21)) @t263))) % 0.62/0.99 (assume @p157 (forall @t9 (or @t264 @t140))) % 0.62/0.99 (assume @p158 (forall @t9 (or @t264 @t141))) % 0.62/0.99 (assume @p159 (forall (@list @t32 @t16) (or (not (= @t32 (tptp.hAPP @t265 @t16))) (= @t16 @t2)))) % 0.62/0.99 (assume @p160 (forall @t9 (or (not (= @t114 @t5)) @t140))) % 0.62/0.99 (assume @p161 (forall (@list @t18 @t32 @t16) (or @t77 @t76 (not (= @t32 (tptp.hAPP @t266 @t16))) @t263))) % 0.62/0.99 (assume @p162 (forall @t184 (or (not (tptp.class_Nat_Osemiring__char__0 @t18)) (not (= @t182 @t181)) @t68))) % 0.62/0.99 (assume @p163 (forall (@list @t18 @t32 @t31 @t267) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t18)) (= (tptp.c_List_Ofoldl @t87 @t268 @t267 @t18 @t18) (tptp.hAPP @t266 (tptp.c_List_Ofoldl @t87 @t31 @t267 @t18 @t18)))))) % 0.62/0.99 (assume @p164 (forall @t107 (or @t270 (= @t268 (tptp.hAPP @t269 @t32))))) % 0.62/0.99 (assume @p165 (forall (@list @t5 @t82 @t56 @t1) (or (not (= (tptp.hAPP @t100 @t82) @t104)) @t159 @t10))) % 0.62/0.99 (assume @p166 (forall @t9 (= @t114 @t95))) % 0.62/0.99 (assume @p167 (forall @t25 (or @t272 (= @t116 @t271)))) % 0.62/0.99 (assume @p168 (forall (@list @t18 @t16 @t154) (or @t270 (= @t157 @t174)))) % 0.62/0.99 (assume @p169 (forall @t274 (= (tptp.c_Lambda_Osubstn @t273 @t152 @t56) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t113 @t152 @t151))))) % 0.62/0.99 (assume @p170 (forall (@list @t57 @t5 @t55) (or (tptp.c_HOL_Oord__class_Oless @t57 (tptp.hAPP @t100 @t55) tptp.tc_nat) @t119))) % 0.62/0.99 (assume @p171 (forall (@list @t57 @t55 @t5) (or (tptp.c_HOL_Oord__class_Oless @t57 (tptp.hAPP @t96 @t5) tptp.tc_nat) @t119))) % 0.62/0.99 (assume @p172 (forall @t63 (or @t216 (not (tptp.c_HOL_Oord__class_Oless @t167 @t56 tptp.tc_nat))))) % 0.62/0.99 (assume @p173 (forall @t279 (or @t278 (not (tptp.c_HOL_Oord__class_Oless @t32 @t275 tptp.tc_nat))))) % 0.62/0.99 (assume @p174 (forall @t279 (or @t278 (not @t280)))) % 0.62/0.99 (assume @p175 (forall (@list @t5 @t32) (tptp.c_HOL_Oord__class_Oless @t5 (tptp.c_Suc (tptp.hAPP @t100 @t32)) tptp.tc_nat))) % 0.62/0.99 (assume @p176 (forall @t281 (tptp.c_HOL_Oord__class_Oless @t57 (tptp.c_Suc (tptp.hAPP @t100 @t57)) tptp.tc_nat))) % 0.62/0.99 (assume @p177 (forall @t281 (tptp.c_HOL_Oord__class_Oless @t57 (tptp.c_Suc (tptp.hAPP @t58 @t5)) tptp.tc_nat))) % 0.62/0.99 (assume @p178 (forall @t73 (not (= @t2 @t72)))) % 0.62/0.99 (assume @p179 (forall @t160 (not (= @t2 @t129)))) % 0.62/0.99 (assume @p180 (forall @t9 (= @t283 @t282))) % 0.62/0.99 (assume @p181 (forall @t9 (= @t284 @t282))) % 0.62/0.99 (assume @p182 (forall @t287 (or @t286 (not (tptp.c_Wellfounded_Oaccp @t285 @t41 tptp.tc_Lambda_OdB))))) % 0.62/0.99 (assume @p183 (forall (@list @t113) (or (tptp.c_Wellfounded_Oaccp @t285 @t113 tptp.tc_Lambda_OdB) @t288))) % 0.62/0.99 (assume @p184 (forall (@list @t41 @t18 @t32 @t275 @t31) (or (tptp.hBOOL (tptp.hAPP @t134 @t275)) (not (tptp.hBOOL (tptp.hAPP @t289 @t275))) (not @t135)))) % 0.62/0.99 (assume @p185 (forall @t291 (or @t201 @t200 @t290))) % 0.62/0.99 (assume @p186 (forall @t291 (or @t201 @t290 @t200))) % 0.62/0.99 (assume @p187 (forall (@list @t41 @t18 @t32) (tptp.hBOOL (tptp.hAPP @t134 @t32)))) % 0.62/0.99 (assume @p188 (forall (@list @t41 @t18 @t16) (tptp.hBOOL (tptp.hAPP @t195 @t16)))) % 0.62/0.99 (assume @p189 (forall (@list @t292 @t18) (tptp.c_List_Olistsp @t292 @t67 @t18))) % 0.62/0.99 (assume @p190 (= @t150 @t118)) % 0.62/0.99 (assume @p191 (forall @t84 (= @t71 (tptp.hAPP (tptp.hAPP @t26 @t83) @t1)))) % 0.62/0.99 (assume @p192 (forall @t84 (= @t71 (tptp.hAPP @t27 @t83)))) % 0.62/0.99 (assume @p193 (forall @t144 (or @t232 (= (tptp.hAPP @t293 @t21) @t21)))) % 0.62/0.99 (assume @p194 (= (tptp.hAPP @t178 @t2) @t2)) % 0.62/0.99 (assume @p195 (forall @t295 (or @t270 (= @t294 (tptp.hAPP (tptp.hAPP @t87 @t268) @t275))))) % 0.62/0.99 (assume @p196 (forall @t295 (or @t81 (= @t294 (tptp.hAPP @t269 @t296))))) % 0.62/0.99 (assume @p197 (forall @t279 (= (tptp.hAPP @t265 @t277) (tptp.hAPP @t276 @t297)))) % 0.62/0.99 (assume @p198 (forall @t111 (= (tptp.hAPP (tptp.hAPP @t26 @t114) @t56) (tptp.hAPP @t100 @t99)))) % 0.62/0.99 (assume @p199 (forall @t172 (or @t272 @t301))) % 0.62/0.99 (assume @p200 (forall @t172 (or @t272 (= @t298 (tptp.hAPP @t155 @t157))))) % 0.62/0.99 (assume @p201 (forall @t172 (or @t132 @t301))) % 0.62/0.99 (assume @p202 (forall @t305 (or @t270 (= @t304 (tptp.hAPP @t302 @t93))))) % 0.62/0.99 (assume @p203 (forall @t172 (or @t270 (= @t300 (tptp.hAPP @t302 @t15))))) % 0.62/0.99 (assume @p204 (forall @t305 (or @t270 (= @t304 (tptp.hAPP @t173 (tptp.hAPP @t115 @t93)))))) % 0.62/0.99 (assume @p205 (forall @t172 (or @t270 @t301))) % 0.62/0.99 (assume @p206 (forall (@list @t41 @t18 @t64 @t15 @t16) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t166 @t15) @t16)) @t193))) % 0.62/0.99 (assume @p207 (forall (@list @t41 @t306 @t307 @t18 @t64) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t41 @t306) @t307)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t166 @t307) @t306)))))) % 0.62/0.99 (assume @p208 (forall (@list @t41 @t18 @t64 @t16 @t15) (or @t309 (not @t308)))) % 0.62/0.99 (assume @p209 (forall (@list @t41 @t15 @t16 @t18 @t64) (or @t308 (not @t309)))) % 0.62/0.99 (assume @p210 (forall (@list @t18 @t32 @t31 @t275 @t253) (or @t81 (not (= @t294 (tptp.hAPP @t269 @t253))) (= @t296 @t253)))) % 0.62/0.99 (assume @p211 (forall (@list @t65 @t64 @t16 @t18) (= (tptp.c_List_Ofoldr @t65 @t310 @t16 @t64 @t18) @t16))) % 0.62/0.99 (assume @p212 (= @t118 @t179)) % 0.62/0.99 (assume @p213 (forall @t144 (or @t183 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t83 @t18) @t142)))) % 0.62/0.99 (assume @p214 (forall @t144 (or @t143 (not (= @t21 @t142))))) % 0.62/0.99 (assume @p215 (forall @t9 (or @t139 @t138 @t140))) % 0.62/0.99 (assume @p216 (forall @t9 (or @t139 @t141 @t137))) % 0.62/0.99 (assume @p217 (forall @t233 (or @t183 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t72 @t18) (tptp.hAPP @t311 @t182))))) % 0.62/0.99 (assume @p218 (forall @t9 (= @t283 @t284))) % 0.62/0.99 (assume @p219 (forall (@list @t41 @t18 @t31 @t32) (or @t313 (not @t312)))) % 0.62/0.99 (assume @p220 (forall @t136 (or @t312 (not @t313)))) % 0.62/0.99 (assume @p221 (forall @t189 (= (tptp.c_Nat_Osize__class_Osize @t188 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Nat_Osize__class_Osize @t187 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t186 tptp.tc_Lambda_OdB))) @t118)))) % 0.62/0.99 (assume @p222 (forall (@list @t18 @t16 @t39) (or @t164 (= @t131 (tptp.hAPP @t115 @t163))))) % 0.62/0.99 (assume @p223 (forall @t9 (or @t180 (= @t72 @t1) @t11))) % 0.62/0.99 (assume @p224 (forall @t279 (or (not (= (tptp.hAPP @t265 @t31) @t297)) @t314))) % 0.62/0.99 (assume @p225 (forall @t102 (or (not (= @t101 @t99)) @t68))) % 0.62/0.99 (assume @p226 (forall @t106 (or (not (= @t105 @t104)) @t68))) % 0.62/0.99 (assume @p227 (forall @t295 (or @t77 @t76 (not (= @t268 @t296)) @t314))) % 0.62/0.99 (assume @p228 (forall @t172 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t18)) @t316 @t315))) % 0.62/0.99 (assume @p229 (forall @t172 (or @t317 @t316 @t315))) % 0.62/0.99 (assume @p230 (forall @t240 (or @t317 (not (= @t271 @t174)) @t315))) % 0.62/0.99 (assume @p231 (forall (@list @t113 @t318 @t57 @t55 @t253) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst @t113 (tptp.c_Lambda_Olift @t318 @t57) (tptp.c_Suc @t55)) (tptp.c_Lambda_Osubst @t253 @t318 @t55) @t57) (tptp.c_Lambda_Osubst @t319 @t318 @t55)) @t214))) % 0.62/0.99 (assume @p232 (forall @t9 (or @t185 @t138 @t140))) % 0.62/0.99 (assume @p233 (forall @t9 (or @t185 @t141 @t137))) % 0.62/0.99 (assume @p234 (forall (@list @t18 @t16 @t15 @t154 @t93) (or @t270 (= (tptp.hAPP @t299 @t303) (tptp.hAPP @t302 @t156))))) % 0.62/0.99 (assume @p235 (forall @t192 (= (tptp.c_Nat_Osize__class_Osize @t191 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t26 (tptp.c_Nat_Osize__class_Osize @t190 tptp.tc_Lambda_OdB)) @t118)))) % 0.62/0.99 (assume @p236 (forall @t162 (or @t320 @t161))) % 0.62/0.99 (assume @p237 (forall @t9 (or @t11 @t149))) % 0.62/0.99 (assume @p238 (forall @t14 (or @t148 @t10))) % 0.62/0.99 (assume @p239 (forall (@list @t113 @t57 @t56) (or (= (tptp.c_Lambda_Olift @t215 @t110) (tptp.c_Lambda_Olift @t321 @t57)) (not (tptp.c_HOL_Oord__class_Oless @t57 @t151 tptp.tc_nat))))) % 0.62/0.99 (assume @p240 (forall @t144 (or @t165 (tptp.c_HOL_Oord__class_Oless @t21 (tptp.hAPP @t311 @t142) @t18)))) % 0.62/0.99 (assume @p241 (forall (@list @t41 @t18) (= (tptp.c_Transitive__Closure_Ortranclp @t133 @t18) @t133))) % 0.62/0.99 (assume @p242 (forall @t78 (or @t270 (= (tptp.hAPP @t293 @t32) @t32)))) % 0.62/0.99 (assume @p243 (forall @t80 (or @t272 @t322))) % 0.62/0.99 (assume @p244 (forall @t162 (= @t32 (tptp.hAPP @t265 @t2)))) % 0.62/0.99 (assume @p245 (forall @t84 (= (tptp.hAPP @t178 @t1) @t1))) % 0.62/0.99 (assume @p246 (forall @t73 (= (tptp.hAPP @t100 @t2) @t5))) % 0.62/0.99 (assume @p247 (forall @t78 (or @t77 @t76 (= @t32 (tptp.hAPP @t266 @t21))))) % 0.62/0.99 (assume @p248 (forall @t80 (or @t272 @t323))) % 0.62/0.99 (assume @p249 (forall @t80 (or @t164 @t322))) % 0.62/0.99 (assume @p250 (forall @t80 (or @t164 @t323))) % 0.62/0.99 (assume @p251 (forall @t80 (or @t270 @t323))) % 0.62/0.99 (assume @p252 (forall @t80 (or @t270 @t322))) % 0.62/0.99 (assume @p253 (forall (@list @t32 @t1) (or (tptp.c_HOL_Oord__class_Oless @t125 @t71 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t32 @t1 tptp.tc_nat))))) % 0.62/0.99 (assume @p254 (forall @t9 (or @t10 (not @t324)))) % 0.62/0.99 (assume @p255 (forall @t9 (or @t324 @t11))) % 0.62/0.99 (assume @p256 (forall (@list @t65 @t18) (= (tptp.c_List_Olist_Olist__size @t65 @t67 @t18) @t2))) % 0.62/0.99 (assume @p257 (forall (@list @t252 @t18) (= (tptp.c_List_Olist_Olist__size @t252 @t67 @t18) @t2))) % 0.62/0.99 (assume @p258 (forall (@list @t18 @t32 @t267) (or @t164 (= (tptp.hAPP @t266 (tptp.c_List_Ofoldl @t87 @t21 @t267 @t18 @t18)) (tptp.c_List_Ofoldl @t87 @t32 @t267 @t18 @t18))))) % 0.62/0.99 (assume @p259 (forall (@list @t152 @t113 @t325 @t328) (or (tptp.hBOOL (tptp.hAPP @t333 (tptp.hAPP @t330 @t328))) @t329 @t327))) % 0.62/0.99 (assume @p260 (forall (@list @t152 @t113 @t325) (or (tptp.hBOOL (tptp.hAPP @t333 (tptp.hAPP @t330 @t113))) @t327))) % 0.62/0.99 (assume @p261 (forall (@list @t152 @t113 @t328) (or (tptp.hBOOL (tptp.hAPP @t333 (tptp.hAPP @t331 @t328))) @t329))) % 0.62/0.99 (assume @p262 (forall (@list @t152 @t41) (or (= @t152 (tptp.c_Lambda_OdB_OAbs @t336)) @t335))) % 0.62/0.99 (assume @p263 (forall (@list @t152 @t325) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t326 @t153) (tptp.c_Lambda_OdB_OAbs @t325))) @t327))) % 0.62/0.99 (assume @p264 (forall @t338 (or (tptp.hBOOL (tptp.hAPP @t337 @t336)) @t335))) % 0.62/0.99 (assume @p265 (forall @t340 (= (tptp.c_Lambda_OdB_OdB__size @t339) @t2))) % 0.62/0.99 (assume @p266 (forall @t340 (= (tptp.c_Nat_Osize__class_Osize @t339 tptp.tc_Lambda_OdB) @t2))) % 0.62/0.99 (assume @p267 (forall @t343 (or @t342 @t341))) % 0.62/0.99 (assume @p268 (forall @t347 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t326 @t346) @t345)) @t344))) % 0.62/0.99 (assume @p269 (forall @t343 (or @t342 @t344))) % 0.62/0.99 (assume @p270 (forall (@list @t348 @t1 @t318) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t348 @t352 tptp.tc_Lambda_OdB) @t351))) % 0.62/0.99 (assume @p271 (forall @t274 (= (tptp.c_Lambda_Osubst @t273 @t152 @t56) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst @t113 (tptp.c_Lambda_Olift @t152 @t2) @t151))))) % 0.62/0.99 (assume @p272 (forall (@list @t121 @t220 @t122 @t225 @t57 @t202 @t223) (or (tptp.c_Type_Otypings @t121 @t220 @t227) @t226 @t224 @t222))) % 0.62/0.99 (assume @p273 (forall (@list @t121 @t202 @t122 @t57) (or (tptp.c_Type_Otypings @t121 @t202 @t354) @t353))) % 0.62/0.99 (assume @p274 (forall @t357 (or @t356 @t355 @t329))) % 0.62/0.99 (assume @p275 (forall @t358 (or (tptp.c_Type_Otyping @t121 @t113 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t208 @t122 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t205))) % 0.62/0.99 (assume @p276 (forall (@list @t121 @t113 @t202 @t122 @t223) (or @t204 @t224 (not (tptp.c_Type_Otyping @t121 @t113 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t223 @t122 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.62/0.99 (assume @p277 (forall @t358 (or (tptp.c_Type_Otyping @t121 @t113 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t206 @t122 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t205))) % 0.62/0.99 (assume @p278 (forall @t360 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t326 @t359) @t210)) @t344))) % 0.62/0.99 (assume @p279 (forall (@list @t121 @t57 @t225 @t18 @t122) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t121 @t57 @t225 @t18) @t2 @t122 @t18) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t121 @t2 @t122 @t18) @t117 @t225 @t18)))) % 0.62/0.99 (assume @p280 (forall (@list @t1 @t113 @t56) (= (tptp.c_Lambda_Oliftn @t71 @t113 @t56) (tptp.c_Lambda_Olift @t361 @t56)))) % 0.62/0.99 (assume @p281 (forall (@list @t121 @t57 @t122 @t202) (or (tptp.c_Type_Otyping @t121 @t217 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t354 @t122 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t353))) % 0.62/0.99 (assume @p282 (forall @t144 (not (tptp.c_HOL_Oord__class_Oless @t2 @t243 tptp.tc_nat)))) % 0.62/0.99 (assume @p283 (forall @t246 (or (tptp.c_HOL_Oord__class_Oless @t2 @t245 tptp.tc_nat) @t244))) % 0.62/0.99 (assume @p284 (forall @t365 (or (not (tptp.c_Wellfounded_Oaccp @t285 @t364 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t285 @t152 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t285 @t363 tptp.tc_Lambda_OdB)))) % 0.62/0.99 (assume @p285 (forall (@list @t41 @t348 @t362) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t41 @t348 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t366)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t348 @t362 tptp.tc_Lambda_OdB))))) % 0.62/0.99 (assume @p286 (forall @t368 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t326 @t366) @t367)) @t344))) % 0.62/0.99 (assume @p287 (forall (@list @t41 @t152 @t113 @t202) (or (not (= @t370 @t203)) (= @t41 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t113 (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t41 @t152 @t113 @t202) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (= @t202 @t369)))) % 0.62/0.99 (assume @p288 (forall @t372 (or (= @t371 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t58 @t1))) @t216))) % 0.62/0.99 (assume @p289 (forall @t374 (or @t165 @t373 @t4))) % 0.62/0.99 (assume @p290 (forall @t374 (or @t165 @t3 (not @t373)))) % 0.62/0.99 (assume @p291 (forall (@list @t318 @t1 @t348) (or (= @t318 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t349 @t352 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t351))) % 0.62/0.99 (assume @p292 (forall (@list @t1 @t348) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t350)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t348 tptp.tc_Lambda_OdB))))) % 0.62/0.99 (assume @p293 (forall @t376 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t375 @t217))) @t288))) % 0.62/0.99 (assume @p294 (forall @t378 (or @t320 (= (tptp.c_Lambda_Osubstn @t377 @t152 @t32) (tptp.c_Lambda_Oliftn @t32 @t152 @t2))))) % 0.62/0.99 (assume @p295 (forall @t382 (or @t381 @t379))) % 0.62/0.99 (assume @p296 (forall @t360 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t359) @t210)) @t341))) % 0.62/0.99 (assume @p297 (forall @t219 (or (= @t218 @t217) @t383))) % 0.62/0.99 (assume @p298 (forall (@list @t113 @t56 @t152) (= (tptp.c_Lambda_Osubst @t321 @t152 @t56) @t113))) % 0.62/0.99 (assume @p299 (forall @t372 (or (= @t371 @t217) @t383))) % 0.62/0.99 (assume @p300 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.62/0.99 (assume @p301 (forall @t378 (or @t320 (= (tptp.c_Lambda_Osubst @t377 @t152 @t32) @t152)))) % 0.62/0.99 (assume @p302 (forall @t388 (= (tptp.c_Lambda_OdB_OdB__case @t384 @t387 @t386 @t339 @t18) @t385))) % 0.62/0.99 (assume @p303 (forall @t84 (not (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat)))) % 0.62/0.99 (assume @p304 (forall @t73 (not (tptp.c_HOL_Oord__class_Oless @t5 @t2 tptp.tc_nat)))) % 0.62/0.99 (assume @p305 (forall @t73 (= @t380 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t380 @t369 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.62/0.99 (assume @p306 (forall (@list @t18 @t275 @t32 @t31) (or @t391 (tptp.c_HOL_Oord__class_Oless @t275 @t32 @t18) (not (tptp.c_HOL_Oord__class_Oless @t275 @t31 @t18)) @t390))) % 0.62/0.99 (assume @p307 (forall (@list @t18 @t32 @t275 @t31) (or @t392 (tptp.c_HOL_Oord__class_Oless @t32 @t275 @t18) (not (tptp.c_HOL_Oord__class_Oless @t31 @t275 @t18)) @t38))) % 0.62/0.99 (assume @p308 (forall (@list @t113 @t152 @t1) (= (tptp.c_Lambda_Osubstn @t113 @t152 @t1) (tptp.c_Lambda_Osubst @t113 (tptp.c_Lambda_Oliftn @t1 @t152 @t2) @t1)))) % 0.62/0.99 (assume @p309 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.62/0.99 (assume @p310 (forall @t251 (or (= @t257 @t217) @t393 @t247))) % 0.62/0.99 (assume @p311 (forall @t347 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t346) @t345)) @t341))) % 0.62/0.99 (assume @p312 (forall @t84 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t349)))) % 0.62/0.99 (assume @p313 (forall @t365 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t363)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t152))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t364)))))) % 0.62/0.99 (assume @p314 (forall (@list @t65 @t16 @t64 @t18) (= (tptp.c_List_Ofoldl @t65 @t16 @t310 @t18 @t64) @t16))) % 0.62/0.99 (assume @p315 (forall @t251 (or (= @t250 @t217) @t393 @t247))) % 0.62/0.99 (assume @p316 (forall @t376 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t215)) @t288))) % 0.62/0.99 (assume @p317 (forall @t388 (= (tptp.c_Lambda_OdB_OdB__rec @t384 @t387 @t386 @t339 @t18) @t385))) % 0.62/0.99 (assume @p318 (forall @t382 (or @t381 (= @t380 @t152)))) % 0.62/0.99 (assume @p319 (forall @t368 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t366) @t367)) @t341))) % 0.62/0.99 (assume @p320 (forall @t162 (not @t320))) % 0.62/0.99 (assume @p321 (forall @t84 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat)))) % 0.62/0.99 (assume @p322 (forall @t78 (or @t391 @t394))) % 0.62/0.99 (assume @p323 (forall @t78 (or @t395 @t394))) % 0.62/0.99 (assume @p324 (forall @t78 (or @t392 @t394))) % 0.62/0.99 (assume @p325 (forall @t397 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t396) (tptp.c_Lambda_Osubst @t152 @t113 @t2))))) % 0.62/0.99 (assume @p326 (forall @t398 (or @t239 @t389 @t33 @t86))) % 0.62/0.99 (assume @p327 (forall @t107 (or @t395 @t86 @t389 @t33))) % 0.62/0.99 (assume @p328 (forall @t14 (or @t147 @t10 @t68))) % 0.62/0.99 (assume @p329 (forall (@list @t17 @t1 @t5) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 @t1) @t5)) @t147 @t68 @t10))) % 0.62/0.99 (assume @p330 (forall (@list @t31 @t32) (or (tptp.c_HOL_Oord__class_Oless @t31 @t32 tptp.tc_nat) @t280 @t86))) % 0.62/0.99 (assume @p331 (forall @t398 (or @t395 @t389 @t33 @t86))) % 0.62/0.99 (assume @p332 (forall @t398 (or @t395 @t389 @t86 @t33))) % 0.62/0.99 (assume @p333 (forall @t107 (or @t395 @t86 @t33 @t389))) % 0.62/0.99 (assume @p334 (forall (@list @t57 @t113) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t217) @t113))))) % 0.62/0.99 (assume @p335 (forall (@list @t41 @t152 @t113) (or (not (= @t370 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t113 @t369 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t370 @t113)))) % 0.62/0.99 (assume @p336 (forall @t84 (or @t3 @t140))) % 0.62/0.99 (assume @p337 (forall (@list @t113 @t56) (= (tptp.c_Lambda_Oliftn @t2 @t113 @t56) @t113))) % 0.62/0.99 (assume @p338 (not (tptp.c_HOL_Oord__class_Oless @t2 @t2 tptp.tc_nat))) % 0.62/0.99 (assume @p339 (forall (@list @t113 @t152) (= (tptp.c_Lambda_Osubstn @t113 @t152 @t2) (tptp.c_Lambda_Osubst @t113 @t152 @t2)))) % 0.62/0.99 (assume @p340 (forall @t256 (or (= @t255 @t254) @t399))) % 0.62/0.99 (assume @p341 (forall (@list @t41 @t57 @t55) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t41 @t217 @t55))) @t400))) % 0.62/0.99 (assume @p342 (forall @t404 (or @t403 (= @t258 @t401)))) % 0.62/0.99 (assume @p343 (forall @t404 (or @t403 (= @t259 @t402)))) % 0.62/0.99 (assume @p344 (forall (@list @t56 @t253) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t56) @t253 @t56) @t253))) % 0.62/0.99 (assume @p345 (forall @t408 (or @t407 @t405))) % 0.62/0.99 (assume @p346 (forall @t408 (or @t407 @t68))) % 0.62/0.99 (assume @p347 (forall (@list @t122 @t121 @t113) (or (= @t122 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t411) @t410)) @t409))) % 0.62/0.99 (assume @p348 (forall (@list @t17 @t384 @t387 @t386 @t127) (or (not (tptp.hBOOL (tptp.hAPP @t17 (tptp.c_Lambda_OdB_OdB__case @t384 @t387 @t386 @t339 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t17 @t385))))) % 0.62/0.99 (assume @p349 (forall (@list @t17 @t384 @t387 @t386 @t412) (or (not (tptp.hBOOL (tptp.hAPP @t17 (tptp.c_Lambda_OdB_OdB__case @t384 @t387 @t386 (tptp.c_Lambda_OdB_OVar @t412) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t17 (tptp.hAPP @t384 @t412)))))) % 0.62/0.99 (assume @p350 (forall @t130 (or (not (= @t339 (tptp.c_Lambda_OdB_OVar @t126))) @t128))) % 0.62/0.99 (assume @p351 (forall @t338 (= @t370 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t370 @t369 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.62/0.99 (assume @p352 (forall @t25 (or @t391 @t20 @t413))) % 0.62/0.99 (assume @p353 (forall @t107 (or @t395 @t38 @t390))) % 0.62/0.99 (assume @p354 (forall @t398 (or @t392 @t390 @t38))) % 0.62/0.99 (assume @p355 (forall (@list @t18 @t15 @t16) (or @t392 @t413 @t20))) % 0.62/0.99 (assume @p356 (forall (@list @t121 @t57 @t225 @t113 @t122) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t121 @t57 @t225 tptp.tc_Type_Otype) @t215 @t122) @t355))) % 0.62/0.99 (assume @p357 (forall @t418 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_a____ @t253 @t57))) @t417 @t416 (not (tptp.c_Type_Otyping @t415 tptp.v_a____ @t414))))) % 0.62/0.99 (assume @p358 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.62/0.99 (assume @p359 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_a____))) % 0.62/0.99 (assume @p360 (forall @t420 (= (tptp.c_Lambda_Osubst @t419 @t152 @t56) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t113 @t152 @t56)) (tptp.c_Lambda_Osubst @t253 @t152 @t56))))) % 0.62/0.99 (assume @p361 (forall (@list @t421 @t127) (not (= @t422 @t339)))) % 0.62/0.99 (assume @p362 (forall (@list @t187 @t186 @t421) (not (= @t188 @t422)))) % 0.62/0.99 (assume @p363 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t423))) % 0.62/0.99 (assume @p364 (forall (@list @t421 @t187 @t186) (not (= @t422 @t188)))) % 0.62/0.99 (assume @p365 (forall @t357 (or @t356 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t113) @t328))) @t355))) % 0.62/0.99 (assume @p366 (forall (@list @t17 @t384 @t387 @t386 @t425 @t424) (or (not (tptp.hBOOL (tptp.hAPP @t17 (tptp.c_Lambda_OdB_OdB__case @t384 @t387 @t386 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t425) @t424) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t17 (tptp.hAPP (tptp.hAPP @t387 @t425) @t424)))))) % 0.62/0.99 (assume @p367 (forall (@list @t17 @t384 @t387 @t386 @t187 @t186) (or (not (tptp.hBOOL (tptp.hAPP @t17 (tptp.c_Lambda_OdB_OdB__case @t384 @t387 @t386 @t188 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t17 @t426))))) % 0.62/0.99 (assume @p368 (forall (@list @t17 @t384 @t387 @t386 @t85) (or (not (tptp.hBOOL (tptp.hAPP @t17 (tptp.c_Lambda_OdB_OdB__case @t384 @t387 @t386 (tptp.c_Lambda_OdB_OAbs @t85) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t17 (tptp.hAPP @t386 @t85)))))) % 0.62/0.99 (assume @p369 (forall (@list @t17 @t384 @t387 @t386 @t190) (or (not (tptp.hBOOL (tptp.hAPP @t17 (tptp.c_Lambda_OdB_OdB__case @t384 @t387 @t386 @t191 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t17 @t427))))) % 0.62/0.99 (assume @p370 (forall @t124 (or (= @t123 (tptp.hAPP @t121 @t55)) @t399))) % 0.62/0.99 (assume @p371 (forall @t428 (= (tptp.c_Lambda_OdB_OdB__rec @t384 @t387 @t386 @t191 @t18) (tptp.hAPP @t427 (tptp.c_Lambda_OdB_OdB__rec @t384 @t387 @t386 @t190 @t18))))) % 0.62/0.99 (assume @p372 (forall @t418 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t423 @t253 @t57))) @t417 @t416 (not (tptp.c_Type_Otyping @t415 @t423 @t414))))) % 0.62/0.99 (assume @p373 (forall (@list @t430 @t152 @t113 @t225 @t122) (or (tptp.c_Type_Otyping @t430 @t332 @t225) (not (tptp.c_Type_Otyping @t430 @t113 @t122)) (not (tptp.c_Type_Otyping @t430 @t152 @t429))))) % 0.62/0.99 (assume @p374 (forall @t432 (or @t431 (= @t152 @t334)))) % 0.62/0.99 (assume @p375 (forall @t435 (or @t434 @t433))) % 0.62/0.99 (assume @p376 (forall @t435 (or @t434 @t405))) % 0.62/0.99 (assume @p377 (forall @t440 (or @t439 (= @t187 @t436)))) % 0.62/0.99 (assume @p378 (forall @t440 (or @t439 (= @t186 @t437)))) % 0.62/0.99 (assume @p379 (forall (@list @t122 @t225 @t121 @t57 @t202) (or (= @t122 @t225) @t226 @t353))) % 0.62/0.99 (assume @p380 (forall @t365 (or @t441 @t379))) % 0.62/0.99 (assume @p381 (forall (@list @t127 @t436 @t437) (not (= @t339 @t438)))) % 0.62/0.99 (assume @p382 (forall (@list @t190 @t421) (or (not (= @t191 @t422)) (= @t190 @t421)))) % 0.62/0.99 (assume @p383 (forall (@list @t1 @t202 @t41 @t362) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t349 @t202 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t334 @t362 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.62/0.99 (assume @p384 (forall @t447 (or @t446 @t444 (not (tptp.c_Type_Otyping @t121 @t253 @t443)) @t416 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t121 @t57 @t443 tptp.tc_Type_Otype) @t113 @t442)) @t288))) % 0.62/0.99 (assume @p385 (forall @t447 (or @t446 @t444 (not (tptp.c_Type_Otyping @t121 @t253 @t445)) @t416 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t121 @t57 @t445 tptp.tc_Type_Otype) @t113 @t442)) @t288))) % 0.62/0.99 (assume @p386 (forall (@list @t121 @t32 @t122 @t18) (= (tptp.hAPP (tptp.c_Type_Oshift @t121 @t32 @t122 @t18) @t32) @t122))) % 0.62/0.99 (assume @p387 (forall (@list @t430 @t113 @t122 @t225) (or (tptp.c_Type_Otyping @t430 @t273 @t429) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t430 @t2 @t122 tptp.tc_Type_Otype) @t113 @t225))))) % 0.62/0.99 (assume @p388 (forall (@list @t127 @t421) (not (= @t339 @t422)))) % 0.62/0.99 (assume @p389 (forall (@list @t121 @t57 @t122) (or (= (tptp.hAPP @t121 @t57) @t122) (not (tptp.c_Type_Otyping @t121 @t217 @t122))))) % 0.62/0.99 (assume @p390 (forall (@list @t152 @t113 @t56) (= (tptp.c_Lambda_Olift @t332 @t56) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t152 @t56)) @t321)))) % 0.62/0.99 (assume @p391 (forall (@list @t121 @t113 @t122) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t121 @t2 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t121 @t113) tptp.tc_Type_Otype) @t113 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t121 @t113)) @t409))) % 0.62/0.99 (assume @p392 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.62/0.99 (assume @p393 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t449 tptp.v_T_Ha______)) % 0.62/0.99 (assume @p394 (forall @t428 (= (tptp.c_Lambda_OdB_OdB__case @t384 @t387 @t386 @t191 @t18) @t427))) % 0.62/0.99 (assume @p395 (forall @t450 (= (tptp.c_Lambda_OdB_OdB__case @t384 @t387 @t386 @t188 @t18) @t426))) % 0.62/0.99 (assume @p396 (forall (@list @t121 @t122 @t113) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t121 @t2 @t411 tptp.tc_Type_Otype) @t113 @t410) @t409))) % 0.62/0.99 (assume @p397 (forall (@list @t121 @t253 @t122 @t113) (or (tptp.c_Type_Otyping @t121 @t253 @t452) @t451))) % 0.62/0.99 (assume @p398 @t454) % 0.62/0.99 (assume @p399 (forall @t287 (= @t334 @t455))) % 0.62/0.99 (assume @p400 (forall (@list @t430 @t32) (tptp.c_Type_Otyping @t430 @t377 (tptp.hAPP @t430 @t32)))) % 0.62/0.99 (assume @p401 (forall @t365 (or @t441 (= @t334 @t152)))) % 0.62/0.99 (assume @p402 @t458) % 0.62/0.99 (assume @p403 (forall @t450 (= (tptp.c_Lambda_OdB_OdB__rec @t384 @t387 @t386 @t188 @t18) (tptp.hAPP (tptp.hAPP @t426 (tptp.c_Lambda_OdB_OdB__rec @t384 @t387 @t386 @t187 @t18)) (tptp.c_Lambda_OdB_OdB__rec @t384 @t387 @t386 @t186 @t18))))) % 0.62/0.99 (assume @p404 (forall @t432 (or @t431 @t379))) % 0.62/0.99 (assume @p405 (forall (@list @t41 @t202 @t152) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t41 @t202 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t152 @t202 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t433))) % 0.62/0.99 (assume @p406 (forall @t287 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t334)) @t400))) % 0.62/0.99 (assume @p407 (forall (@list @t253 @t152 @t113) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t460 @t152)) (tptp.hAPP @t460 @t113))) @t459))) % 0.62/0.99 (assume @p408 (forall (@list @t152 @t253 @t113) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t331 @t253)) @t419)) @t459))) % 0.62/0.99 (assume @p409 (forall (@list @t1 @t152 @t113 @t56) (= (tptp.c_Lambda_Oliftn @t1 @t332 @t56) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t1 @t152 @t56)) @t361)))) % 0.62/0.99 (assume @p410 (forall @t287 (= @t455 @t334))) % 0.62/0.99 (assume @p411 (forall (@list @t461 @t253 @t225 @t57 @t113 @t122) (or (not (tptp.c_Type_Otyping @t461 @t253 @t225)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t461 @t57 @t225 tptp.tc_Type_Otype) @t113 @t122)) (tptp.c_Type_Otyping @t461 @t319 @t122)))) % 0.62/0.99 (assume @p412 (forall (@list @t152 @t113 @t1 @t362) (not (= @t396 @t406)))) % 0.62/0.99 (assume @p413 (forall @t397 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t153) @t273)) @t459))) % 0.62/0.99 (assume @p414 (forall @t420 (= (tptp.c_Lambda_Osubstn @t419 @t152 @t56) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t113 @t152 @t56)) (tptp.c_Lambda_Osubstn @t253 @t152 @t56))))) % 0.62/0.99 (assume @p415 (forall (@list @t121 @t113 @t122 @t253) (or (tptp.c_Type_Otyping @t121 @t113 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t452) @t122)) @t451))) % 0.62/0.99 (assume @p416 (forall (@list @t436 @t437 @t127) (not (= @t438 @t339)))) % 0.62/0.99 (assume @p417 (not tptp.v_thesis____)) % 0.62/0.99 (assume @p418 (forall @t162 (or tptp.v_thesis____ (not (tptp.c_Type_Otyping @t453 @t448 @t32))))) % 0.62/0.99 (assume @p419 (forall @t465 (or (tptp.class_Orderings_Opreorder @t464) (not (tptp.class_Orderings_Opreorder @t462))))) % 0.62/0.99 (assume @p420 (forall @t465 (or (tptp.class_Orderings_Oorder @t464) (not (tptp.class_Orderings_Oorder @t462))))) % 0.62/0.99 (assume @p421 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.62/0.99 (assume @p422 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.62/0.99 (assume @p423 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.62/0.99 (assume @p424 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.62/0.99 (assume @p425 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.62/0.99 (assume @p426 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.62/0.99 (assume @p427 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.62/0.99 (assume @p428 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.62/0.99 (assume @p429 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.62/0.99 (assume @p430 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.62/0.99 (assume @p431 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.62/0.99 (assume @p432 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.62/0.99 (assume @p433 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.62/0.99 (assume @p434 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.62/0.99 (assume @p435 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.62/0.99 (assume @p436 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.62/0.99 (assume @p437 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.62/0.99 (assume @p438 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.62/0.99 (assume @p439 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.62/0.99 (assume @p440 (forall @t78 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t145 @t32) @t32)))) % 0.62/0.99 (assume @p441 (forall (@list @t467 @t466 @t18) (or (= @t467 @t466) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t145 @t467) @t466)))))) % 0.62/0.99 (step @p442 :rule quant-miniscope-or :args ((= @t458 (or tptp.v_thesis____ @t468)))) % 0.62/0.99 (step @p443 :rule eq_resolve :premises (@p402 @p442)) % 0.62/0.99 (step @p444 :rule chain_m_resolution :premises (@p443 @p417) :args (@t468 (@list true) (@list tptp.v_thesis____))) % 0.62/0.99 (step @p445 :rule instantiate :premises (@p275) :args ((@list @t453 @t448 tptp.v_T_H____ tptp.v_as____))) % 0.62/0.99 (step @p446 :rule cnf_or_pos :args (@t472)) % 0.62/0.99 (step @p447 :rule reordering :premises (@p446) :args ((or @t469 @t471 (not @t472)))) % 0.62/0.99 (step @p448 :rule chain_m_resolution :premises (@p447 @p398 @p445) :args (@t471 @t473 (@list @t454 @t472))) % 0.62/0.99 (assume-push @p455 @t468) % 0.62/0.99 (step @p450 :rule instantiate :premises (@p444) :args ((@list @t470))) % 0.62/0.99 (step-pop @p456 :rule scope :premises (@p450)) % 0.62/0.99 (step @p451 :rule process_scope :premises (@p456) :args ((not @t471))) % 0.62/0.99 (step @p453 :rule implies_elim :premises (@p451)) % 0.62/0.99 (step @p454 false :rule chain_m_resolution :premises (@p453 @p448 @p444) :args (false @t473 (@list @t471 @t468))) % 0.62/0.99 ) % 0.62/0.99 % SZS output end Proof % 0.62/0.99 % cvc5 exiting %------------------------------------------------------------------------------