%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL827-1 : 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 : n015.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 11:23:58 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.95s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL827-1 : 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 % 0.09/0.36 % Computer : n015.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 16:31:57 UTC 2026 % 0.13/0.36 % CPUTime : % 0.19/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.95 % SZS status Unsatisfiable % 0.29/0.95 % SZS output start Proof % 0.29/0.99 ( % 0.29/0.99 (declare-sort $$unsorted 0) % 0.29/0.99 (declare-const tptp.v_sko__CHAINED__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_and $$unsorted) % 0.29/0.99 (declare-const tptp.c_implies $$unsorted) % 0.29/0.99 (declare-const tptp.c_Ex (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.v_as____ $$unsorted) % 0.29/0.99 (declare-const tptp.v_thesis____ Bool) % 0.29/0.99 (declare-const tptp.v_T_H____ $$unsorted) % 0.29/0.99 (declare-const tptp.v_sko__local__XCons__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.v_i____ $$unsorted) % 0.29/0.99 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.v_ea______ $$unsorted) % 0.29/0.99 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.v_e____ $$unsorted) % 0.29/0.99 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.v_T____ $$unsorted) % 0.29/0.99 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_All (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.v_ua______ $$unsorted) % 0.29/0.99 (declare-const tptp.v_n____ $$unsorted) % 0.29/0.99 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.v_u____ $$unsorted) % 0.29/0.99 (declare-const tptp.tc_nat $$unsorted) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.v_a____ $$unsorted) % 0.29/0.99 (declare-const tptp.v_ia______ $$unsorted) % 0.29/0.99 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.tc_bool $$unsorted) % 0.29/0.99 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.29/0.99 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.29/0.99 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_Type_Otyping $$unsorted) % 0.29/0.99 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_Type_Otype_Otype__size (-> $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.29/0.99 (declare-const tptp.v_rs____ $$unsorted) % 0.29/0.99 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.29/0.99 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.29/0.99 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.v_sko__local__XCons__Xhyps__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.99 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.29/0.99 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.29/0.99 (define @t1 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.29/0.99 (define @t2 () (@var "V_nat" $$unsorted)) % 0.29/0.99 (define @t3 () (tptp.c_Lambda_OdB_OVar @t2)) % 0.29/0.99 (define @t4 () (@list @t2)) % 0.29/0.99 (define @t5 () (@var "V_n" $$unsorted)) % 0.29/0.99 (define @t6 () (tptp.c_HOL_Oord__class_Oless @t1 @t5 tptp.tc_nat)) % 0.29/0.99 (define @t7 () (not @t6)) % 0.29/0.99 (define @t8 () (@var "V_m" $$unsorted)) % 0.29/0.99 (define @t9 () (tptp.c_HOL_Oord__class_Oless @t1 @t8 tptp.tc_nat)) % 0.29/0.99 (define @t10 () (not @t9)) % 0.29/0.99 (define @t11 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t5 tptp.tc_nat)) % 0.29/0.99 (define @t12 () (@list @t8 @t5)) % 0.29/0.99 (define @t13 () (tptp.c_HOL_Oord__class_Oless @t8 @t5 tptp.tc_nat)) % 0.29/0.99 (define @t14 () (not @t13)) % 0.29/0.99 (define @t15 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t8 tptp.tc_nat)) % 0.29/0.99 (define @t16 () (tptp.c_HOL_Oord__class_Oless @t1 @t15 tptp.tc_nat)) % 0.29/0.99 (define @t17 () (@list @t5 @t8)) % 0.29/0.99 (define @t18 () (@var "V_b" $$unsorted)) % 0.29/0.99 (define @t19 () (@var "V_a" $$unsorted)) % 0.29/0.99 (define @t20 () (@var "V_P" $$unsorted)) % 0.29/0.99 (define @t21 () (@var "T_a" $$unsorted)) % 0.29/0.99 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t19 @t18 @t21)) % 0.29/0.99 (define @t23 () (not @t22)) % 0.29/0.99 (define @t24 () (tptp.c_HOL_Ozero__class_Ozero @t21)) % 0.29/0.99 (define @t25 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t18 @t21)) % 0.29/0.99 (define @t26 () (tptp.c_HOL_Oord__class_Oless @t25 @t24 @t21)) % 0.29/0.99 (define @t27 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t21))) % 0.29/0.99 (define @t28 () (@list @t21 @t19 @t18)) % 0.29/0.99 (define @t29 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.29/0.99 (define @t30 () (tptp.hAPP @t29 @t5)) % 0.29/0.99 (define @t31 () (@var "V_y_H" $$unsorted)) % 0.29/0.99 (define @t32 () (@var "V_x_H" $$unsorted)) % 0.29/0.99 (define @t33 () (tptp.c_HOL_Oord__class_Oless @t32 @t31 @t21)) % 0.29/0.99 (define @t34 () (@var "V_y" $$unsorted)) % 0.29/0.99 (define @t35 () (@var "V_x" $$unsorted)) % 0.29/0.99 (define @t36 () (tptp.c_HOL_Oord__class_Oless @t35 @t34 @t21)) % 0.29/0.99 (define @t37 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t31 @t21)) % 0.29/0.99 (define @t38 () (tptp.c_HOL_Ominus__class_Ominus @t35 @t34 @t21)) % 0.29/0.99 (define @t39 () (not (= @t38 @t37))) % 0.29/0.99 (define @t40 () (@list @t21 @t35 @t34 @t32 @t31)) % 0.29/0.99 (define @t41 () (not @t36)) % 0.29/0.99 (define @t42 () (@var "V_j" $$unsorted)) % 0.29/0.99 (define @t43 () (@var "V_k" $$unsorted)) % 0.29/0.99 (define @t44 () (@var "V_i" $$unsorted)) % 0.29/0.99 (define @t45 () (tptp.hAPP @t29 @t44)) % 0.29/0.99 (define @t46 () (tptp.hAPP @t45 @t43)) % 0.29/0.99 (define @t47 () (tptp.c_HOL_Oord__class_Oless @t46 @t42 tptp.tc_nat)) % 0.29/0.99 (define @t48 () (tptp.c_HOL_Oord__class_Oless @t44 (tptp.c_HOL_Ominus__class_Ominus @t42 @t43 tptp.tc_nat) tptp.tc_nat)) % 0.29/0.99 (define @t49 () (@list @t44 @t42 @t43)) % 0.29/0.99 (define @t50 () (@list @t44 @t43 @t42)) % 0.29/0.99 (define @t51 () (= @t8 @t5)) % 0.29/0.99 (define @t52 () (not (tptp.c_HOL_Oord__class_Oless @t42 @t43 tptp.tc_nat))) % 0.29/0.99 (define @t53 () (tptp.c_Suc @t5)) % 0.29/0.99 (define @t54 () (tptp.c_Suc @t8)) % 0.29/0.99 (define @t55 () (@list @t8)) % 0.29/0.99 (define @t56 () (tptp.c_HOL_Ominus__class_Ominus @t35 @t35 @t21)) % 0.29/0.99 (define @t57 () (= @t56 @t24)) % 0.29/0.99 (define @t58 () (not (tptp.class_Int_Onumber__ring @t21))) % 0.29/0.99 (define @t59 () (not (tptp.class_Ring__and__Field_Oidom @t21))) % 0.29/0.99 (define @t60 () (@list @t21 @t35)) % 0.29/0.99 (define @t61 () (not (tptp.class_OrderedGroup_Ogroup__add @t21))) % 0.29/0.99 (define @t62 () (@list @t21 @t19)) % 0.29/0.99 (define @t63 () (not (tptp.class_OrderedGroup_Oab__group__add @t21))) % 0.29/0.99 (define @t64 () (@var "V_l" $$unsorted)) % 0.29/0.99 (define @t65 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.29/0.99 (define @t66 () (@list @t5)) % 0.29/0.99 (define @t67 () (tptp.c_HOL_Oplus__class_Oplus @t21)) % 0.29/0.99 (define @t68 () (tptp.hAPP @t29 @t18)) % 0.29/0.99 (define @t69 () (@var "V_d" $$unsorted)) % 0.29/0.99 (define @t70 () (tptp.hAPP @t30 @t8)) % 0.29/0.99 (define @t71 () (tptp.hAPP @t29 @t42)) % 0.29/0.99 (define @t72 () (tptp.hAPP @t71 @t43)) % 0.29/0.99 (define @t73 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t44 @t42 tptp.tc_nat) @t43 tptp.tc_nat)) % 0.29/0.99 (define @t74 () (@var "V_xa" $$unsorted)) % 0.29/0.99 (define @t75 () (tptp.hAPP @t30 @t43)) % 0.29/0.99 (define @t76 () (tptp.hAPP @t29 @t8)) % 0.29/0.99 (define @t77 () (tptp.hAPP @t76 @t43)) % 0.29/0.99 (define @t78 () (@list @t8 @t43 @t5)) % 0.29/0.99 (define @t79 () (tptp.hAPP @t29 @t43)) % 0.29/0.99 (define @t80 () (tptp.hAPP @t79 @t5)) % 0.29/0.99 (define @t81 () (tptp.hAPP @t79 @t8)) % 0.29/0.99 (define @t82 () (@list @t43 @t8 @t5)) % 0.29/0.99 (define @t83 () (= @t35 @t34)) % 0.29/0.99 (define @t84 () (@list @t21 @t35 @t34)) % 0.29/0.99 (define @t85 () (= @t19 @t18)) % 0.29/0.99 (define @t86 () (not (= @t25 @t24))) % 0.29/0.99 (define @t87 () (tptp.c_Suc @t43)) % 0.29/0.99 (define @t88 () (@list @t8 @t5 @t43)) % 0.29/0.99 (define @t89 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t65 tptp.tc_nat)) % 0.29/0.99 (define @t90 () (tptp.hAPP @t76 @t5)) % 0.29/0.99 (define @t91 () (tptp.hAPP @t67 @t19)) % 0.29/0.99 (define @t92 () (tptp.hAPP @t91 @t18)) % 0.29/0.99 (define @t93 () (tptp.c_Suc @t44)) % 0.29/0.99 (define @t94 () (tptp.c_Suc @t1)) % 0.29/0.99 (define @t95 () (not (tptp.c_HOL_Oord__class_Oless @t44 @t42 tptp.tc_nat))) % 0.29/0.99 (define @t96 () (tptp.c_HOL_Ominus__class_Ominus @t42 @t65 tptp.tc_nat)) % 0.29/0.99 (define @t97 () (@var "V_e" $$unsorted)) % 0.29/0.99 (define @t98 () (@var "V_T" $$unsorted)) % 0.29/0.99 (define @t99 () (tptp.c_Type_Oshift @t21)) % 0.29/0.99 (define @t100 () (tptp.hAPP @t99 @t97)) % 0.29/0.99 (define @t101 () (tptp.hAPP @t100 @t44)) % 0.29/0.99 (define @t102 () (tptp.hAPP (tptp.hAPP @t101 @t98) @t42)) % 0.29/0.99 (define @t103 () (@list @t21 @t97 @t44 @t98 @t42)) % 0.29/0.99 (define @t104 () (@var "V_r" $$unsorted)) % 0.29/0.99 (define @t105 () (tptp.c_Transitive__Closure_Ortranclp @t104 @t21)) % 0.29/0.99 (define @t106 () (tptp.hAPP @t105 @t35)) % 0.29/0.99 (define @t107 () (tptp.hBOOL (tptp.hAPP @t106 @t34))) % 0.29/0.99 (define @t108 () (@list @t104 @t21 @t35 @t34)) % 0.29/0.99 (define @t109 () (@var "V_xs" $$unsorted)) % 0.29/0.99 (define @t110 () (tptp.c_List_Olist_ONil @t21)) % 0.29/0.99 (define @t111 () (= @t8 @t94)) % 0.29/0.99 (define @t112 () (= @t5 @t94)) % 0.29/0.99 (define @t113 () (not (= @t94 @t90))) % 0.29/0.99 (define @t114 () (= @t5 @t1)) % 0.29/0.99 (define @t115 () (= @t8 @t1)) % 0.29/0.99 (define @t116 () (@var "T_b" $$unsorted)) % 0.29/0.99 (define @t117 () (tptp.c_List_Olist_ONil @t116)) % 0.29/0.99 (define @t118 () (@var "V_f" $$unsorted)) % 0.29/0.99 (define @t119 () (tptp.c_HOL_Oone__class_Oone @t21)) % 0.29/0.99 (define @t120 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t21))) % 0.29/0.99 (define @t121 () (@list @t21)) % 0.29/0.99 (define @t122 () (tptp.c_fequal @t21)) % 0.29/0.99 (define @t123 () (tptp.c_HOL_Oord__class_Oless @t8 @t53 tptp.tc_nat)) % 0.29/0.99 (define @t124 () (tptp.c_HOL_Oord__class_Oless @t5 @t8 tptp.tc_nat)) % 0.29/0.99 (define @t125 () (tptp.c_HOL_Oord__class_Oless @t5 @t54 tptp.tc_nat)) % 0.29/0.99 (define @t126 () (not @t125)) % 0.29/0.99 (define @t127 () (tptp.hAPP (tptp.hAPP @t29 @t94) @t1)) % 0.29/0.99 (define @t128 () (@var "V_c" $$unsorted)) % 0.29/0.99 (define @t129 () (tptp.hAPP @t67 @t18)) % 0.29/0.99 (define @t130 () (tptp.hAPP @t129 @t69)) % 0.29/0.99 (define @t131 () (tptp.hAPP @t91 @t128)) % 0.29/0.99 (define @t132 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t21))) % 0.29/0.99 (define @t133 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t64 tptp.tc_nat))) % 0.29/0.99 (define @t134 () (@var "V_nat_H" $$unsorted)) % 0.29/0.99 (define @t135 () (tptp.c_Suc @t134)) % 0.29/0.99 (define @t136 () (@list @t134)) % 0.29/0.99 (define @t137 () (tptp.c_Suc @t35)) % 0.29/0.99 (define @t138 () (tptp.c_HOL_Oord__class_Oless @t35 @t137 tptp.tc_nat)) % 0.29/0.99 (define @t139 () (@list @t35)) % 0.29/0.99 (define @t140 () (tptp.c_List_Ofoldr @t67 @t109 @t24 @t21 @t21)) % 0.29/0.99 (define @t141 () (not (tptp.class_OrderedGroup_Omonoid__add @t21))) % 0.29/0.99 (define @t142 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t21))) % 0.29/0.99 (define @t143 () (tptp.c_Predicate_Oconversep @t104 @t21 @t116)) % 0.29/0.99 (define @t144 () (tptp.hAPP @t45 @t42)) % 0.29/0.99 (define @t145 () (tptp.hAPP @t129 @t128)) % 0.29/0.99 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t131 @t145 @t21)) % 0.29/0.99 (define @t147 () (@list @t21 @t19 @t128 @t18)) % 0.29/0.99 (define @t148 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t21))) % 0.29/0.99 (define @t149 () (@list @t21 @t19 @t18 @t128)) % 0.29/0.99 (define @t150 () (tptp.hAPP @t67 @t128)) % 0.29/0.99 (define @t151 () (tptp.hAPP @t150 @t19)) % 0.29/0.99 (define @t152 () (tptp.c_HOL_Oord__class_Oless @t151 (tptp.hAPP @t150 @t18) @t21)) % 0.29/0.99 (define @t153 () (@list @t21 @t128 @t19 @t18)) % 0.29/0.99 (define @t154 () (tptp.c_HOL_Oord__class_Oless @t81 @t80 tptp.tc_nat)) % 0.29/0.99 (define @t155 () (tptp.hAPP @t29 @t1)) % 0.29/0.99 (define @t156 () (tptp.hAPP @t155 @t94)) % 0.29/0.99 (define @t157 () (tptp.c_HOL_Oord__class_Oless @t54 @t5 tptp.tc_nat)) % 0.29/0.99 (define @t158 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t5 @t21)) % 0.29/0.99 (define @t159 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8 @t21)) % 0.29/0.99 (define @t160 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t21))) % 0.29/0.99 (define @t161 () (@list @t21 @t8 @t5)) % 0.29/0.99 (define @t162 () (not (= @t90 @t94))) % 0.29/0.99 (define @t163 () (tptp.hAPP @t79 @t65)) % 0.29/0.99 (define @t164 () (@var "V_s" $$unsorted)) % 0.29/0.99 (define @t165 () (tptp.c_Lambda_OdB_OAbs @t164)) % 0.29/0.99 (define @t166 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t104 @t19) @t18)))) % 0.29/0.99 (define @t167 () (tptp.hAPP @t105 @t18)) % 0.29/0.99 (define @t168 () (tptp.hAPP @t105 @t19)) % 0.29/0.99 (define @t169 () (tptp.hBOOL (tptp.hAPP @t168 @t128))) % 0.29/0.99 (define @t170 () (@list @t104 @t21 @t19 @t128 @t18)) % 0.29/0.99 (define @t171 () (tptp.hAPP @t104 @t18)) % 0.29/0.99 (define @t172 () (tptp.c_Wellfounded_Oaccp @t104 @t19 @t21)) % 0.29/0.99 (define @t173 () (not @t172)) % 0.29/0.99 (define @t174 () (tptp.c_Wellfounded_Oaccp @t104 @t18 @t21)) % 0.29/0.99 (define @t175 () (@var "V_ts" $$unsorted)) % 0.29/0.99 (define @t176 () (@var "V_t" $$unsorted)) % 0.29/0.99 (define @t177 () (tptp.hAPP tptp.c_Type_Otyping @t97)) % 0.29/0.99 (define @t178 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t176 @t175 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t98))) % 0.29/0.99 (define @t179 () (not @t178)) % 0.29/0.99 (define @t180 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t98 @t97 @t176 @t175)) % 0.29/0.99 (define @t181 () (@list @t97 @t175 @t98 @t176)) % 0.29/0.99 (define @t182 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t98 @t97 @t176 @t175)) % 0.29/0.99 (define @t183 () (tptp.hAPP @t45 @t65)) % 0.29/0.99 (define @t184 () (tptp.c_Lambda_Olift @t164 @t44)) % 0.29/0.99 (define @t185 () (tptp.hAPP tptp.c_Lambda_Osubst @t176)) % 0.29/0.99 (define @t186 () (tptp.hAPP @t185 @t164)) % 0.29/0.99 (define @t187 () (tptp.c_Lambda_Olift (tptp.hAPP @t186 @t42) @t44)) % 0.29/0.99 (define @t188 () (@list @t176 @t164 @t42 @t44)) % 0.29/0.99 (define @t189 () (tptp.hAPP @t71 @t65)) % 0.29/0.99 (define @t190 () (not (tptp.c_HOL_Oord__class_Oless @t44 @t189 tptp.tc_nat))) % 0.29/0.99 (define @t191 () (tptp.c_Lambda_Olift @t176 @t44)) % 0.29/0.99 (define @t192 () (tptp.c_HOL_Oord__class_Oless @t44 @t43 tptp.tc_nat)) % 0.29/0.99 (define @t193 () (tptp.c_Lambda_OdB_OVar @t44)) % 0.29/0.99 (define @t194 () (tptp.c_Lambda_Olift @t193 @t43)) % 0.29/0.99 (define @t195 () (@list @t44 @t43)) % 0.29/0.99 (define @t196 () (tptp.c_Lambda_OdB_OAbs @t176)) % 0.29/0.99 (define @t197 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 @t196) @t98)))) % 0.29/0.99 (define @t198 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t98 @t97 @t176)) % 0.29/0.99 (define @t199 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t98 @t97 @t176)) % 0.29/0.99 (define @t200 () (@var "V_us" $$unsorted)) % 0.29/0.99 (define @t201 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t193 @t175 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t202 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t201 @t200 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t98)))) % 0.29/0.99 (define @t203 () (@var "V_Ts" $$unsorted)) % 0.29/0.99 (define @t204 () (not (tptp.c_Type_Otypings @t97 @t175 @t203))) % 0.29/0.99 (define @t205 () (@var "V_U" $$unsorted)) % 0.29/0.99 (define @t206 () (tptp.hAPP @t177 @t201)) % 0.29/0.99 (define @t207 () (not (tptp.hBOOL (tptp.hAPP @t206 @t205)))) % 0.29/0.99 (define @t208 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t98 @t205 @t97 @t200)) % 0.29/0.99 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t24 @t19 @t21)) % 0.29/0.99 (define @t210 () (not @t209)) % 0.29/0.99 (define @t211 () (tptp.hAPP @t91 @t19)) % 0.29/0.99 (define @t212 () (tptp.c_HOL_Oord__class_Oless @t24 @t211 @t21)) % 0.29/0.99 (define @t213 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t21))) % 0.29/0.99 (define @t214 () (@list @t21 @t8)) % 0.29/0.99 (define @t215 () (tptp.c_HOL_Oord__class_Oless @t19 @t24 @t21)) % 0.29/0.99 (define @t216 () (not @t215)) % 0.29/0.99 (define @t217 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t21))) % 0.29/0.99 (define @t218 () (tptp.c_HOL_Oord__class_Oless @t211 @t24 @t21)) % 0.29/0.99 (define @t219 () (not @t218)) % 0.29/0.99 (define @t220 () (not (tptp.class_Ring__and__Field_Oordered__idom @t21))) % 0.29/0.99 (define @t221 () (@list @t21 @t18 @t19 @t128)) % 0.29/0.99 (define @t222 () (tptp.c_HOL_Oord__class_Oless @t159 @t158 @t21)) % 0.29/0.99 (define @t223 () (tptp.c_HOL_Oord__class_Oless @t1 @t90 tptp.tc_nat)) % 0.29/0.99 (define @t224 () (@var "V_zs" $$unsorted)) % 0.29/0.99 (define @t225 () (tptp.hAPP @t67 @t35)) % 0.29/0.99 (define @t226 () (@var "V_s_H" $$unsorted)) % 0.29/0.99 (define @t227 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t228 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t164) @t226)))) % 0.29/0.99 (define @t229 () (@var "V_t_H" $$unsorted)) % 0.29/0.99 (define @t230 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t176) @t229)))) % 0.29/0.99 (define @t231 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t226)) % 0.29/0.99 (define @t232 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t164)) % 0.29/0.99 (define @t233 () (tptp.hAPP @t232 @t176)) % 0.29/0.99 (define @t234 () (tptp.hAPP @t227 @t233)) % 0.29/0.99 (define @t235 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t104) @t164)) % 0.29/0.99 (define @t236 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t237 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t104) @t164)))) % 0.29/0.99 (define @t238 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 (tptp.hAPP (tptp.hAPP @t185 @t104) @t44)) (tptp.hAPP @t186 @t44)))) % 0.29/0.99 (define @t239 () (@list @t176 @t104 @t44 @t164)) % 0.29/0.99 (define @t240 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t104) @t164)))) % 0.29/0.99 (define @t241 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t164) @t176)) % 0.29/0.99 (define @t242 () (tptp.hAPP @t241 @t44)) % 0.29/0.99 (define @t243 () (tptp.hAPP tptp.c_Lambda_Osubst @t104)) % 0.29/0.99 (define @t244 () (tptp.hAPP (tptp.hAPP @t243 @t176) @t44)) % 0.29/0.99 (define @t245 () (@list @t104 @t176 @t44 @t164)) % 0.29/0.99 (define @t246 () (@var "V_u" $$unsorted)) % 0.29/0.99 (define @t247 () (tptp.c_Lambda_OdB_OVar @t42)) % 0.29/0.99 (define @t248 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t247) @t246) @t44)) % 0.29/0.99 (define @t249 () (@list @t42 @t246 @t44)) % 0.29/0.99 (define @t250 () (tptp.c_HOL_Oord__class_Oless @t43 @t44 tptp.tc_nat)) % 0.29/0.99 (define @t251 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t193) @t164) @t43)) % 0.29/0.99 (define @t252 () (@list @t44 @t164 @t43)) % 0.29/0.99 (define @t253 () (@var "V_type2" $$unsorted)) % 0.29/0.99 (define @t254 () (@var "V_type1" $$unsorted)) % 0.29/0.99 (define @t255 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t254) @t253)) % 0.29/0.99 (define @t256 () (@list @t254 @t253)) % 0.29/0.99 (define @t257 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t5 @t65 tptp.tc_nat))) % 0.29/0.99 (define @t258 () (@var "V_dB" $$unsorted)) % 0.29/0.99 (define @t259 () (tptp.c_Lambda_OdB_OAbs @t258)) % 0.29/0.99 (define @t260 () (@list @t258)) % 0.29/0.99 (define @t261 () (@var "V_dB2" $$unsorted)) % 0.29/0.99 (define @t262 () (@var "V_dB1" $$unsorted)) % 0.29/0.99 (define @t263 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t262) @t261)) % 0.29/0.99 (define @t264 () (@list @t262 @t261)) % 0.29/0.99 (define @t265 () (tptp.c_List_Ofoldl @t67 @t19 @t109 @t21 @t21)) % 0.29/0.99 (define @t266 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t21))) % 0.29/0.99 (define @t267 () (= @t2 @t134)) % 0.29/0.99 (define @t268 () (@list @t2 @t134)) % 0.29/0.99 (define @t269 () (= @t19 @t24)) % 0.29/0.99 (define @t270 () (not (= @t90 @t1))) % 0.29/0.99 (define @t271 () (tptp.hAPP @t29 @t35)) % 0.29/0.99 (define @t272 () (tptp.hAPP @t225 @t34)) % 0.29/0.99 (define @t273 () (tptp.hAPP @t67 @t34)) % 0.29/0.99 (define @t274 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t21))) % 0.29/0.99 (define @t275 () (tptp.hAPP @t129 @t19)) % 0.29/0.99 (define @t276 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t21))) % 0.29/0.99 (define @t277 () (@var "V_z" $$unsorted)) % 0.29/0.99 (define @t278 () (tptp.hAPP @t29 @t34)) % 0.29/0.99 (define @t279 () (tptp.hAPP @t278 @t277)) % 0.29/0.99 (define @t280 () (tptp.c_HOL_Oord__class_Oless @t35 @t279 tptp.tc_nat)) % 0.29/0.99 (define @t281 () (@list @t35 @t34 @t277)) % 0.29/0.99 (define @t282 () (tptp.c_HOL_Oord__class_Oless @t35 @t34 tptp.tc_nat)) % 0.29/0.99 (define @t283 () (@list @t44 @t8)) % 0.29/0.99 (define @t284 () (tptp.c_Suc @t90)) % 0.29/0.99 (define @t285 () (tptp.hAPP (tptp.hAPP @t29 @t54) @t5)) % 0.29/0.99 (define @t286 () (tptp.hAPP @t76 @t53)) % 0.29/0.99 (define @t287 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t288 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t104))) % 0.29/0.99 (define @t289 () (@list @t104)) % 0.29/0.99 (define @t290 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t176)))) % 0.29/0.99 (define @t291 () (tptp.hAPP @t105 @t34)) % 0.29/0.99 (define @t292 () (not (tptp.hBOOL (tptp.hAPP @t167 @t19)))) % 0.29/0.99 (define @t293 () (@list @t104 @t18 @t21 @t19)) % 0.29/0.99 (define @t294 () (@var "V_A" $$unsorted)) % 0.29/0.99 (define @t295 () (tptp.hAPP @t67 @t24)) % 0.29/0.99 (define @t296 () (tptp.hAPP @t225 (tptp.hAPP @t273 @t277))) % 0.29/0.99 (define @t297 () (@list @t21 @t35 @t34 @t277)) % 0.29/0.99 (define @t298 () (tptp.hAPP @t225 @t277)) % 0.29/0.99 (define @t299 () (tptp.hAPP @t271 @t277)) % 0.29/0.99 (define @t300 () (tptp.hAPP @t91 @t145)) % 0.29/0.99 (define @t301 () (tptp.hAPP @t67 @t92)) % 0.29/0.99 (define @t302 () (tptp.hAPP @t301 @t128)) % 0.29/0.99 (define @t303 () (= @t302 @t300)) % 0.29/0.99 (define @t304 () (tptp.hAPP @t67 @t131)) % 0.29/0.99 (define @t305 () (tptp.hAPP @t150 @t69)) % 0.29/0.99 (define @t306 () (tptp.hAPP @t91 @t305)) % 0.29/0.99 (define @t307 () (@list @t21 @t19 @t128 @t69)) % 0.29/0.99 (define @t308 () (@var "V_a2" $$unsorted)) % 0.29/0.99 (define @t309 () (@var "V_a1" $$unsorted)) % 0.29/0.99 (define @t310 () (tptp.hBOOL (tptp.hAPP @t171 @t19))) % 0.29/0.99 (define @t311 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t143 @t19) @t18))) % 0.29/0.99 (define @t312 () (tptp.hAPP @t67 @t119)) % 0.29/0.99 (define @t313 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t104 @t21 @t21) @t21) @t35) @t34))) % 0.29/0.99 (define @t314 () (tptp.hBOOL (tptp.hAPP @t291 @t35))) % 0.29/0.99 (define @t315 () (= @t34 @t277)) % 0.29/0.99 (define @t316 () (= @t18 @t128)) % 0.29/0.99 (define @t317 () (not (= @t92 @t131))) % 0.29/0.99 (define @t318 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t21))) % 0.29/0.99 (define @t319 () (@var "V_v" $$unsorted)) % 0.29/0.99 (define @t320 () (tptp.hAPP (tptp.hAPP @t185 @t246) @t44)) % 0.29/0.99 (define @t321 () (tptp.hAPP tptp.c_Lambda_Osubst @t246)) % 0.29/0.99 (define @t322 () (tptp.c_HOL_Oord__class_Oless @t35 @t35 tptp.tc_nat)) % 0.29/0.99 (define @t323 () (tptp.c_Lambda_Olift @t176 @t43)) % 0.29/0.99 (define @t324 () (= (tptp.hAPP @t295 @t19) @t19)) % 0.29/0.99 (define @t325 () (= (tptp.hAPP @t91 @t24) @t19)) % 0.29/0.99 (define @t326 () (tptp.c_HOL_Oord__class_Oless @t54 @t53 tptp.tc_nat)) % 0.29/0.99 (define @t327 () (@var "V_rs" $$unsorted)) % 0.29/0.99 (define @t328 () (tptp.c_Lambda_OdB_OVar @t5)) % 0.29/0.99 (define @t329 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t328 @t327 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t330 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t329) @t319)))) % 0.29/0.99 (define @t331 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t5 @t327 @t319)) % 0.29/0.99 (define @t332 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t176)) % 0.29/0.99 (define @t333 () (tptp.hAPP @t332 @t246)) % 0.29/0.99 (define @t334 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 @t333) @t98)))) % 0.29/0.99 (define @t335 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t98 @t97 @t176 @t246)) % 0.29/0.99 (define @t336 () (tptp.hAPP @t177 @t246)) % 0.29/0.99 (define @t337 () (tptp.hAPP @t177 @t176)) % 0.29/0.99 (define @t338 () (not (tptp.hBOOL (tptp.hAPP @t337 @t98)))) % 0.29/0.99 (define @t339 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 @t229) @t98))) % 0.29/0.99 (define @t340 () (@list @t97 @t229 @t98 @t176)) % 0.29/0.99 (define @t341 () (not (tptp.hBOOL (tptp.hAPP @t206 @t98)))) % 0.29/0.99 (define @t342 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t98 @t97 @t44 @t175)) % 0.29/0.99 (define @t343 () (@list @t97 @t176 @t98 @t175)) % 0.29/0.99 (define @t344 () (tptp.c_Type_Oshift tptp.tc_Type_Otype)) % 0.29/0.99 (define @t345 () (tptp.hAPP @t344 @t97)) % 0.29/0.99 (define @t346 () (tptp.hAPP @t345 @t1)) % 0.29/0.99 (define @t347 () (tptp.c_Lambda_Olift @t104 @t44)) % 0.29/0.99 (define @t348 () (@list @t104 @t44 @t164)) % 0.29/0.99 (define @t349 () (tptp.hAPP @t177 @t193)) % 0.29/0.99 (define @t350 () (@var "V_ss" $$unsorted)) % 0.29/0.99 (define @t351 () (tptp.c_Lambda_OdB_OAbs @t104)) % 0.29/0.99 (define @t352 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t351) @t164) @t350 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t353 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t243 @t164) @t1) @t350 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t354 () (@list @t104 @t164 @t350)) % 0.29/0.99 (define @t355 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t104 @t350 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t356 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t164 @t350 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t357 () (@list @t104 @t350 @t164)) % 0.29/0.99 (define @t358 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t351 @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t359 () (= @t350 @t236)) % 0.29/0.99 (define @t360 () (not (= @t356 @t351))) % 0.29/0.99 (define @t361 () (@list @t164 @t350 @t104)) % 0.29/0.99 (define @t362 () (not (= @t351 @t356))) % 0.29/0.99 (define @t363 () (tptp.c_Lambda_OdB_OVar @t8)) % 0.29/0.99 (define @t364 () (not (= @t363 @t356))) % 0.29/0.99 (define @t365 () (@list @t8 @t164 @t350)) % 0.29/0.99 (define @t366 () (tptp.c_HOL_Oord__class_Oless @t24 @t158 @t21)) % 0.29/0.99 (define @t367 () (@list @t21 @t5)) % 0.29/0.99 (define @t368 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar tptp.v_n____) tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t369 () (@var "V_dB2_H" $$unsorted)) % 0.29/0.99 (define @t370 () (@var "V_dB1_H" $$unsorted)) % 0.29/0.99 (define @t371 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t370) @t369)) % 0.29/0.99 (define @t372 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t164) @t176)))) % 0.29/0.99 (define @t373 () (@list @t164 @t176)) % 0.29/0.99 (define @t374 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t328 @t350 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t375 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t165) @t176)) % 0.29/0.99 (define @t376 () (@list @t176 @t44)) % 0.29/0.99 (define @t377 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t246)) % 0.29/0.99 (define @t378 () (not @t288)) % 0.29/0.99 (define @t379 () (= @t104 @t164)) % 0.29/0.99 (define @t380 () (tptp.c_Lambda_OdB_OVar @t35)) % 0.29/0.99 (define @t381 () (tptp.c_HOL_Oord__class_Oless @t34 @t35 @t21)) % 0.29/0.99 (define @t382 () (not @t381)) % 0.29/0.99 (define @t383 () (not (tptp.class_Orderings_Oorder @t21))) % 0.29/0.99 (define @t384 () (not (tptp.class_Orderings_Opreorder @t21))) % 0.29/0.99 (define @t385 () (@var "V_dB_H" $$unsorted)) % 0.29/0.99 (define @t386 () (tptp.c_Lambda_OdB_OAbs @t385)) % 0.29/0.99 (define @t387 () (not (tptp.c_HOL_Oord__class_Oless @t35 @t35 @t21))) % 0.29/0.99 (define @t388 () (not (tptp.class_Orderings_Olinorder @t21))) % 0.29/0.99 (define @t389 () (@list @t21 @t34 @t35)) % 0.29/0.99 (define @t390 () (not (= @t263 @t371))) % 0.29/0.99 (define @t391 () (@list @t262 @t261 @t370 @t369)) % 0.29/0.99 (define @t392 () (= @t327 @t350)) % 0.29/0.99 (define @t393 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t351 @t327 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t165 @t350 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.99 (define @t394 () (@list @t104 @t327 @t164 @t350)) % 0.29/0.99 (define @t395 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t98) @t205)) % 0.29/0.99 (define @t396 () (@var "V_env" $$unsorted)) % 0.29/0.99 (define @t397 () (tptp.hAPP tptp.c_Type_Otyping @t396)) % 0.29/0.99 (define @t398 () (not (tptp.c_HOL_Oord__class_Oless @t42 @t44 tptp.tc_nat))) % 0.29/0.99 (define @t399 () (@var "V_type2_H" $$unsorted)) % 0.29/0.99 (define @t400 () (@var "V_type1_H" $$unsorted)) % 0.29/0.99 (define @t401 () (not (= @t255 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t400) @t399)))) % 0.29/0.99 (define @t402 () (@list @t254 @t253 @t400 @t399)) % 0.29/0.99 (define @t403 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t363 @t327 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t374))) % 0.29/0.99 (define @t404 () (@list @t8 @t327 @t5 @t350)) % 0.29/0.99 (define @t405 () (not (tptp.c_HOL_Oord__class_Oless @t18 @t19 @t21))) % 0.29/0.99 (define @t406 () (tptp.hAPP @t345 @t44)) % 0.29/0.99 (define @t407 () (@var "V_T_H" $$unsorted)) % 0.29/0.99 (define @t408 () (@var "V_ia" $$unsorted)) % 0.29/0.99 (define @t409 () (@var "V_ea" $$unsorted)) % 0.29/0.99 (define @t410 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t344 @t409) @t408) tptp.v_T____)) tptp.v_a____) @t407)))) % 0.29/0.99 (define @t411 () (@var "V_ua" $$unsorted)) % 0.29/0.99 (define @t412 () (tptp.hAPP tptp.c_Type_Otyping @t409)) % 0.29/0.99 (define @t413 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_a____)) % 0.29/0.99 (define @t414 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t246)))) % 0.29/0.99 (define @t415 () (@var "V_Ta" $$unsorted)) % 0.29/0.99 (define @t416 () (@var "V_T2" $$unsorted)) % 0.29/0.99 (define @t417 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t320))) % 0.29/0.99 (define @t418 () (@var "V_T1" $$unsorted)) % 0.29/0.99 (define @t419 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t418) @t416)))) % 0.29/0.99 (define @t420 () (@list @t418 @t416 @t176 @t246 @t44 @t97 @t415)) % 0.29/0.99 (define @t421 () (tptp.v_sko__local__XCons__1__1 tptp.v_T____ tptp.v_a____ tptp.v_e____ tptp.v_i____)) % 0.29/0.99 (define @t422 () (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t344 tptp.v_e____) tptp.v_i____) tptp.v_T____))) % 0.29/0.99 (define @t423 () (tptp.hAPP @t422 tptp.v_a____)) % 0.29/0.99 (define @t424 () (tptp.hBOOL (tptp.hAPP @t423 @t421))) % 0.29/0.99 (define @t425 () (not (tptp.hBOOL (tptp.hAPP @t423 @t205)))) % 0.29/0.99 (define @t426 () (@list @t205)) % 0.29/0.99 (define @t427 () (forall @t426 (or tptp.v_thesis____ @t425))) % 0.29/0.99 (define @t428 () (@var "V_e_H" $$unsorted)) % 0.29/0.99 (define @t429 () (tptp.hAPP tptp.c_Type_Otyping @t428)) % 0.29/0.99 (define @t430 () (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t431 () (tptp.tc_fun tptp.tc_Type_Otype tptp.tc_bool)) % 0.29/0.99 (define @t432 () (tptp.tc_fun tptp.tc_nat tptp.tc_bool)) % 0.29/0.99 (define @t433 () (tptp.tc_fun tptp.tc_Lambda_OdB @t432)) % 0.29/0.99 (define @t434 () (tptp.tc_fun tptp.tc_nat tptp.tc_Type_Otype)) % 0.29/0.99 (define @t435 () (tptp.tc_fun tptp.tc_Lambda_OdB tptp.tc_bool)) % 0.29/0.99 (define @t436 () (tptp.tc_fun tptp.tc_Type_Otype @t435)) % 0.29/0.99 (define @t437 () (tptp.tc_fun tptp.tc_Lambda_OdB @t431)) % 0.29/0.99 (define @t438 () (tptp.tc_fun tptp.tc_bool tptp.tc_bool)) % 0.29/0.99 (define @t439 () (tptp.c_COMBB tptp.tc_bool @t438 tptp.tc_Lambda_OdB)) % 0.29/0.99 (define @t440 () (tptp.hAPP @t439 tptp.c_implies)) % 0.29/0.99 (define @t441 () (tptp.tc_fun tptp.tc_Lambda_OdB @t438)) % 0.29/0.99 (define @t442 () (tptp.tc_fun @t432 @t432)) % 0.29/0.99 (define @t443 () (tptp.hAPP (tptp.c_COMBB @t438 @t442 tptp.tc_Lambda_OdB) (tptp.c_COMBB tptp.tc_bool tptp.tc_bool tptp.tc_nat))) % 0.29/0.99 (define @t444 () (tptp.tc_fun tptp.tc_Lambda_OdB @t442)) % 0.29/0.99 (define @t445 () (tptp.c_COMBS tptp.tc_Lambda_OdB @t432 @t432)) % 0.29/0.99 (define @t446 () (tptp.tc_fun @t433 @t433)) % 0.29/0.99 (define @t447 () (tptp.tc_fun @t434 @t433)) % 0.29/0.99 (define @t448 () (tptp.tc_fun tptp.tc_nat @t434)) % 0.29/0.99 (define @t449 () (tptp.tc_fun tptp.tc_nat @t437)) % 0.29/0.99 (define @t450 () (tptp.tc_fun tptp.tc_nat @t431)) % 0.29/0.99 (define @t451 () (tptp.tc_fun tptp.tc_Type_Otype @t432)) % 0.29/0.99 (define @t452 () (tptp.tc_fun @t434 @t451)) % 0.29/0.99 (define @t453 () (tptp.tc_fun tptp.tc_nat @t438)) % 0.29/0.99 (define @t454 () (tptp.tc_fun tptp.tc_Type_Otype @t453)) % 0.29/0.99 (define @t455 () (tptp.tc_fun @t434 @t454)) % 0.29/0.99 (define @t456 () (tptp.tc_fun tptp.tc_Type_Otype @t442)) % 0.29/0.99 (define @t457 () (tptp.tc_fun @t434 @t456)) % 0.29/0.99 (define @t458 () (tptp.tc_fun tptp.tc_Type_Otype @t446)) % 0.29/0.99 (define @t459 () (tptp.tc_fun @t434 @t458)) % 0.29/0.99 (define @t460 () (tptp.tc_fun tptp.tc_Type_Otype @t433)) % 0.29/0.99 (define @t461 () (tptp.tc_fun @t433 @t460)) % 0.29/0.99 (define @t462 () (tptp.tc_fun @t434 @t461)) % 0.29/0.99 (define @t463 () (tptp.tc_fun @t434 @t460)) % 0.29/0.99 (define @t464 () (tptp.tc_fun @t434 @t436)) % 0.29/0.99 (define @t465 () (tptp.tc_fun @t434 @t431)) % 0.29/0.99 (define @t466 () (tptp.tc_fun @t434 tptp.tc_bool)) % 0.29/0.99 (define @t467 () (@var "T_1" $$unsorted)) % 0.29/0.99 (define @t468 () (@var "T_2" $$unsorted)) % 0.29/0.99 (define @t469 () (tptp.tc_fun @t468 @t467)) % 0.29/0.99 (define @t470 () (@list @t468 @t467)) % 0.29/0.99 (define @t471 () (@var "V_Y" $$unsorted)) % 0.29/0.99 (define @t472 () (@var "V_X" $$unsorted)) % 0.29/0.99 (define @t473 () (forall @t426 @t425)) % 0.29/0.99 (define @t474 () (not @t424)) % 0.29/0.99 (assume @p1 (forall @t4 (= (tptp.c_Nat_Osize__class_Osize @t3 tptp.tc_Lambda_OdB) @t1))) % 0.29/0.99 (assume @p2 (forall @t4 (= (tptp.c_Lambda_OdB_OdB__size @t3) @t1))) % 0.29/0.99 (assume @p3 (forall @t12 (or (tptp.c_HOL_Oord__class_Oless @t11 @t8 tptp.tc_nat) @t10 @t7))) % 0.29/0.99 (assume @p4 (forall @t17 (or @t16 @t14))) % 0.29/0.99 (assume @p5 (forall @t12 (or @t13 (not @t16)))) % 0.29/0.99 (assume @p6 (forall (@list @t20 @t19 @t18) (or (tptp.hBOOL (tptp.hAPP @t20 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t19 @t18 tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP @t20 (tptp.c_HOL_Ominus__class_Ominus @t19 @t18 tptp.tc_nat))))))) % 0.29/0.99 (assume @p7 (forall @t28 (or @t27 @t26 @t23))) % 0.29/0.99 (assume @p8 (forall @t28 (or @t27 @t22 (not @t26)))) % 0.29/0.99 (assume @p9 (forall @t17 (or (= (tptp.hAPP @t30 @t11) @t8) @t13))) % 0.29/0.99 (assume @p10 (forall @t40 (or @t27 @t39 @t36 (not @t33)))) % 0.29/0.99 (assume @p11 (forall @t40 (or @t27 @t39 @t33 @t41))) % 0.29/0.99 (assume @p12 (forall @t49 (or @t48 (not @t47)))) % 0.29/0.99 (assume @p13 (forall @t50 (or @t47 (not @t48)))) % 0.29/0.99 (assume @p14 (forall @t17 (or (not (= @t15 @t1)) (not (= @t11 @t1)) @t51))) % 0.29/0.99 (assume @p15 (forall (@list @t42 @t5 @t43) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t42 @t5 tptp.tc_nat) @t43 tptp.tc_nat) @t52))) % 0.29/0.99 (assume @p16 (forall @t12 (= (tptp.c_HOL_Ominus__class_Ominus @t54 @t53 tptp.tc_nat) @t11))) % 0.29/0.99 (assume @p17 (forall @t55 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t1 tptp.tc_nat) @t8))) % 0.29/0.99 (assume @p18 (forall @t55 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t8 tptp.tc_nat) @t1))) % 0.29/0.99 (assume @p19 (forall @t60 (or @t59 @t58 @t57))) % 0.29/0.99 (assume @p20 (forall @t62 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t19 @t21) @t24)))) % 0.29/0.99 (assume @p21 (forall @t62 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t24 @t21) @t19)))) % 0.29/0.99 (assume @p22 (forall @t60 (or @t61 @t57))) % 0.29/0.99 (assume @p23 (forall @t60 (or @t63 @t57))) % 0.29/0.99 (assume @p24 (forall (@list @t64 @t5 @t8) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t64 @t5 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t64 @t8 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t8 @t64 tptp.tc_nat)) @t14))) % 0.29/0.99 (assume @p25 (forall @t66 (= (tptp.c_HOL_Ominus__class_Ominus @t53 @t65 tptp.tc_nat) @t5))) % 0.29/0.99 (assume @p26 (forall @t28 (or @t61 (= (tptp.hAPP (tptp.hAPP @t67 @t25) @t18) @t19)))) % 0.29/0.99 (assume @p27 (forall (@list @t20 @t18 @t35) (or (not (tptp.hBOOL (tptp.hAPP @t20 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t68 @t35) @t18 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t20 @t35))))) % 0.29/0.99 (assume @p28 (forall (@list @t20 @t18 @t69) (or (not (tptp.hBOOL (tptp.hAPP @t20 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t68 @t69) @t18 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t20 @t69))))) % 0.29/0.99 (assume @p29 (forall @t12 (tptp.c_HOL_Oord__class_Oless @t11 @t54 tptp.tc_nat))) % 0.29/0.99 (assume @p30 (forall @t17 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t70 tptp.tc_nat) @t1))) % 0.29/0.99 (assume @p31 (forall @t49 (= @t73 (tptp.c_HOL_Ominus__class_Ominus @t44 @t72 tptp.tc_nat)))) % 0.29/0.99 (assume @p32 (forall (@list @t21 @t74 @t34 @t35) (or @t63 (not (= (tptp.c_HOL_Ominus__class_Ominus @t74 @t34 @t21) @t56)) (= @t74 @t34)))) % 0.29/0.99 (assume @p33 (forall (@list @t21 @t35 @t32 @t31) (or @t63 (not (= @t56 @t37)) (= @t32 @t31)))) % 0.29/0.99 (assume @p34 (forall @t66 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t5 tptp.tc_nat) @t1))) % 0.29/0.99 (assume @p35 (forall @t78 (= (tptp.c_HOL_Ominus__class_Ominus @t77 @t75 tptp.tc_nat) @t11))) % 0.29/0.99 (assume @p36 (forall @t82 (= (tptp.c_HOL_Ominus__class_Ominus @t81 @t80 tptp.tc_nat) @t11))) % 0.29/0.99 (assume @p37 (forall @t84 (or @t59 @t58 (not (= @t38 @t24)) @t83))) % 0.29/0.99 (assume @p38 (forall @t28 (or @t61 @t86 @t85))) % 0.29/0.99 (assume @p39 (forall @t28 (or @t63 @t86 @t85))) % 0.29/0.99 (assume @p40 (forall @t49 (= @t73 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t44 @t43 tptp.tc_nat) @t42 tptp.tc_nat)))) % 0.29/0.99 (assume @p41 (forall @t88 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t54 @t5 tptp.tc_nat) @t87 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t11 @t43 tptp.tc_nat)))) % 0.29/0.99 (assume @p42 (forall @t12 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t53 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t89 @t5 tptp.tc_nat)))) % 0.29/0.99 (assume @p43 (forall @t12 (= (tptp.c_HOL_Ominus__class_Ominus @t90 @t5 tptp.tc_nat) @t8))) % 0.29/0.99 (assume @p44 (forall @t17 (= (tptp.c_HOL_Ominus__class_Ominus @t70 @t5 tptp.tc_nat) @t8))) % 0.29/0.99 (assume @p45 (forall @t28 (or @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t92 @t18 @t21) @t19)))) % 0.29/0.99 (assume @p46 (forall (@list @t5 @t44) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t5 @t93 tptp.tc_nat) @t5 tptp.tc_nat) @t7))) % 0.29/0.99 (assume @p47 (forall @t66 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t5 @t94 tptp.tc_nat)) @t5) @t7))) % 0.29/0.99 (assume @p48 (forall @t103 (or (= @t102 (tptp.hAPP @t97 @t96)) @t95))) % 0.29/0.99 (assume @p49 (= @t65 @t94)) % 0.29/0.99 (assume @p50 (forall @t108 (or @t107 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t104 @t35) @t34)))))) % 0.29/0.99 (assume @p51 (forall (@list @t104 @t21 @t109) (not (tptp.c_ListOrder_Ostep1 @t104 @t110 @t109 @t21)))) % 0.29/0.99 (assume @p52 (forall (@list @t104 @t109 @t21) (not (tptp.c_ListOrder_Ostep1 @t104 @t109 @t110 @t21)))) % 0.29/0.99 (assume @p53 (forall @t12 (or @t113 @t112 @t111))) % 0.29/0.99 (assume @p54 (forall @t12 (or @t113 @t115 @t114))) % 0.29/0.99 (assume @p55 (forall (@list @t118 @t19 @t116 @t21) (= (tptp.c_List_Ofoldl @t118 @t19 @t117 @t21 @t116) @t19))) % 0.29/0.99 (assume @p56 (forall @t121 (or @t120 (not (= @t119 @t24))))) % 0.29/0.99 (assume @p57 (forall @t121 (= (tptp.c_Predicate_Oconversep @t122 @t21 @t21) @t122))) % 0.29/0.99 (assume @p58 (forall @t12 (or @t51 @t13 (not @t123)))) % 0.29/0.99 (assume @p59 (forall @t12 (or @t51 @t126 @t124))) % 0.29/0.99 (assume @p60 (forall @t17 (or (= @t5 @t8) @t126 @t124))) % 0.29/0.99 (assume @p61 (= @t94 @t127)) % 0.29/0.99 (assume @p62 (forall (@list @t21 @t19 @t128 @t18 @t69) (or @t132 (tptp.c_HOL_Oord__class_Oless @t131 @t130 @t21) (not (tptp.c_HOL_Oord__class_Oless @t128 @t69 @t21)) @t23))) % 0.29/0.99 (assume @p63 (forall (@list @t44 @t43 @t42 @t64) (or (tptp.c_HOL_Oord__class_Oless @t46 (tptp.hAPP @t71 @t64) tptp.tc_nat) @t133 @t95))) % 0.29/0.99 (assume @p64 (forall @t136 (not (= @t135 @t1)))) % 0.29/0.99 (assume @p65 (forall @t55 (not (= @t54 @t1)))) % 0.29/0.99 (assume @p66 (forall @t66 (tptp.c_HOL_Oord__class_Oless @t5 @t53 tptp.tc_nat))) % 0.29/0.99 (assume @p67 (forall @t139 @t138)) % 0.29/0.99 (assume @p68 (forall @t50 (or (tptp.c_HOL_Oord__class_Oless @t93 @t43 tptp.tc_nat) @t52 @t95))) % 0.29/0.99 (assume @p69 (forall (@list @t21 @t109) (or @t141 (= (tptp.c_List_Ofoldl @t67 @t24 @t109 @t21 @t21) @t140)))) % 0.29/0.99 (assume @p70 (forall @t62 (or @t142 (tptp.c_HOL_Oord__class_Oless @t19 (tptp.hAPP @t91 @t119) @t21)))) % 0.29/0.99 (assume @p71 (forall (@list @t104 @t21 @t116) (= (tptp.c_Predicate_Oconversep @t143 @t116 @t21) @t104))) % 0.29/0.99 (assume @p72 (forall (@list @t44 @t42) (not (tptp.c_HOL_Oord__class_Oless @t144 @t44 tptp.tc_nat)))) % 0.29/0.99 (assume @p73 (forall (@list @t42 @t44) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t71 @t44) @t44 tptp.tc_nat)))) % 0.29/0.99 (assume @p74 (forall @t66 (not (= @t53 @t5)))) % 0.29/0.99 (assume @p75 (forall @t66 (not (= @t5 @t53)))) % 0.29/0.99 (assume @p76 (forall @t147 (or @t132 @t146 @t23))) % 0.29/0.99 (assume @p77 (forall @t147 (or @t148 @t146 @t23))) % 0.29/0.99 (assume @p78 (forall @t149 (or @t148 @t22 (not @t146)))) % 0.29/0.99 (assume @p79 (forall @t153 (or @t132 @t152 @t23))) % 0.29/0.99 (assume @p80 (forall @t153 (or @t148 @t152 @t23))) % 0.29/0.99 (assume @p81 (forall @t149 (or @t148 @t22 (not @t152)))) % 0.29/0.99 (assume @p82 (forall @t50 (or (tptp.c_HOL_Oord__class_Oless @t46 @t72 tptp.tc_nat) @t95))) % 0.29/0.99 (assume @p83 (forall @t88 (or @t13 (not @t154)))) % 0.29/0.99 (assume @p84 (forall @t82 (or @t154 @t14))) % 0.29/0.99 (assume @p85 (= @t156 @t94)) % 0.29/0.99 (assume @p86 (forall @t12 (or @t13 (not @t157)))) % 0.29/0.99 (assume @p87 (forall @t12 (or @t123 @t14))) % 0.29/0.99 (assume @p88 (forall @t161 (or @t160 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t90 @t21) (tptp.hAPP (tptp.hAPP @t67 @t159) @t158))))) % 0.29/0.99 (assume @p89 (forall @t12 (or @t162 @t112 @t111))) % 0.29/0.99 (assume @p90 (forall @t12 (or @t162 @t115 @t114))) % 0.29/0.99 (assume @p91 (forall (@list @t164 @t43) (= (tptp.c_Lambda_Olift @t165 @t43) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Olift @t164 @t163))))) % 0.29/0.99 (assume @p92 (forall @t170 (or @t169 (not (tptp.hBOOL (tptp.hAPP @t167 @t128))) @t166))) % 0.29/0.99 (assume @p93 (forall @t170 (or @t169 (not (tptp.hBOOL (tptp.hAPP @t171 @t128))) (not (tptp.hBOOL (tptp.hAPP @t168 @t18)))))) % 0.29/0.99 (assume @p94 (forall (@list @t104 @t34 @t21 @t19) (or (tptp.c_Wellfounded_Oaccp @t104 @t34 @t21) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t104 @t34) @t19))) @t173))) % 0.29/0.99 (assume @p95 (forall (@list @t104 @t19 @t21 @t18) (or @t172 @t166 (not @t174)))) % 0.29/0.99 (assume @p96 (forall @t181 (or (tptp.c_Type_Otypings @t97 @t175 @t180) @t179))) % 0.29/0.99 (assume @p97 (forall @t181 (or (tptp.c_Type_Otypings @t97 @t175 @t182) @t179))) % 0.29/0.99 (assume @p98 (forall @t188 (or (= @t187 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift @t176 @t183)) @t184) @t42)) (not (tptp.c_HOL_Oord__class_Oless @t42 @t183 tptp.tc_nat))))) % 0.29/0.99 (assume @p99 (forall @t188 (or (= @t187 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t191) @t184) @t189)) @t190))) % 0.29/0.99 (assume @p100 (forall @t195 (or (= @t194 (tptp.c_Lambda_OdB_OVar @t183)) @t192))) % 0.29/0.99 (assume @p101 (forall (@list @t98 @t97 @t176) (or (= @t98 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t199) @t198)) @t197))) % 0.29/0.99 (assume @p102 (forall (@list @t205 @t98 @t97 @t200 @t44 @t175 @t203) (or (= @t205 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t208 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t207 @t204 @t202))) % 0.29/0.99 (assume @p103 (forall @t62 (or @t213 @t212 @t210))) % 0.29/0.99 (assume @p104 (forall @t62 (or @t213 @t209 (not @t212)))) % 0.29/0.99 (assume @p105 (forall @t214 (or @t142 (not (tptp.c_HOL_Oord__class_Oless @t159 @t24 @t21))))) % 0.29/0.99 (assume @p106 (forall @t28 (or @t217 (tptp.c_HOL_Oord__class_Oless @t92 @t24 @t21) (not (tptp.c_HOL_Oord__class_Oless @t18 @t24 @t21)) @t216))) % 0.29/0.99 (assume @p107 (forall @t62 (or @t213 @t218 @t216))) % 0.29/0.99 (assume @p108 (forall @t62 (or @t213 @t215 @t219))) % 0.29/0.99 (assume @p109 (forall @t62 (or @t220 @t215 @t219))) % 0.29/0.99 (assume @p110 (forall @t62 (or @t220 @t218 @t216))) % 0.29/0.99 (assume @p111 (forall @t121 (or @t142 (not (tptp.c_HOL_Oord__class_Oless @t119 @t24 @t21))))) % 0.29/0.99 (assume @p112 (forall @t28 (or @t217 (tptp.c_HOL_Oord__class_Oless @t24 @t92 @t21) (not (tptp.c_HOL_Oord__class_Oless @t24 @t18 @t21)) @t210))) % 0.29/0.99 (assume @p113 (forall @t121 (or @t142 (tptp.c_HOL_Oord__class_Oless @t24 @t119 @t21)))) % 0.29/0.99 (assume @p114 (forall @t221 (or @t142 (tptp.c_HOL_Oord__class_Oless @t18 @t131 @t21) (not (tptp.c_HOL_Oord__class_Oless @t18 @t128 @t21)) @t210))) % 0.29/0.99 (assume @p115 (forall @t121 (or @t160 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t21) @t24)))) % 0.29/0.99 (assume @p116 (forall @t161 (or @t142 @t222 @t14))) % 0.29/0.99 (assume @p117 (forall @t161 (or @t142 @t13 (not @t222)))) % 0.29/0.99 (assume @p118 (forall @t12 (or @t223 @t10))) % 0.29/0.99 (assume @p119 (forall @t12 (or @t223 @t7))) % 0.29/0.99 (assume @p120 (forall @t139 (tptp.c_HOL_Oord__class_Oless @t1 @t137 tptp.tc_nat))) % 0.29/0.99 (assume @p121 (forall @t66 (tptp.c_HOL_Oord__class_Oless @t1 @t53 tptp.tc_nat))) % 0.29/0.99 (assume @p122 (forall @t17 (or @t6 @t9 (not @t223)))) % 0.29/0.99 (assume @p123 (forall @t66 (or @t114 (not (tptp.c_HOL_Oord__class_Oless @t5 @t94 tptp.tc_nat))))) % 0.29/0.99 (assume @p124 (tptp.c_HOL_Oord__class_Oless @t1 @t94 tptp.tc_nat)) % 0.29/0.99 (assume @p125 (forall (@list @t21 @t35 @t224) (or @t141 (= (tptp.hAPP @t225 (tptp.c_List_Ofoldl @t67 @t24 @t224 @t21 @t21)) (tptp.c_List_Ofoldl @t67 @t35 @t224 @t21 @t21))))) % 0.29/0.99 (assume @p126 (forall (@list @t164 @t176 @t226 @t229) (or (tptp.hBOOL (tptp.hAPP @t234 (tptp.hAPP @t231 @t229))) @t230 @t228))) % 0.29/0.99 (assume @p127 (forall (@list @t164 @t176 @t226) (or (tptp.hBOOL (tptp.hAPP @t234 (tptp.hAPP @t231 @t176))) @t228))) % 0.29/0.99 (assume @p128 (forall (@list @t164 @t176 @t229) (or (tptp.hBOOL (tptp.hAPP @t234 (tptp.hAPP @t232 @t229))) @t230))) % 0.29/0.99 (assume @p129 (forall (@list @t164 @t226) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t165) (tptp.c_Lambda_OdB_OAbs @t226))) @t228))) % 0.29/0.99 (assume @p130 (forall (@list @t104 @t164 @t176) (or (not (= @t235 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t176 @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t235 @t176)))) % 0.29/0.99 (assume @p131 (forall (@list @t104 @t164) (= @t235 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t235 @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.99 (assume @p132 (forall @t239 (or @t238 @t237))) % 0.29/0.99 (assume @p133 (forall @t245 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t244) @t242)) @t240))) % 0.29/0.99 (assume @p134 (forall @t239 (or @t238 @t240))) % 0.29/0.99 (assume @p135 (forall @t249 (or (= @t248 (tptp.c_Lambda_OdB_OVar @t96)) @t95))) % 0.29/0.99 (assume @p136 (forall @t252 (or (= @t251 (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t44 @t65 tptp.tc_nat))) (not @t250)))) % 0.29/0.99 (assume @p137 (forall @t256 (= (tptp.c_Type_Otype_Otype__size @t255) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Type_Otype_Otype__size @t254)) (tptp.c_Type_Otype_Otype__size @t253))) @t94)))) % 0.29/0.99 (assume @p138 (forall @t256 (= (tptp.c_Nat_Osize__class_Osize @t255 tptp.tc_Type_Otype) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Nat_Osize__class_Osize @t254 tptp.tc_Type_Otype)) (tptp.c_Nat_Osize__class_Osize @t253 tptp.tc_Type_Otype))) @t94)))) % 0.29/0.99 (assume @p139 (forall @t12 (or (= @t90 (tptp.c_Suc (tptp.hAPP (tptp.hAPP @t29 @t89) @t5))) @t115))) % 0.29/0.99 (assume @p140 (forall @t66 (or (= @t257 @t5) @t7))) % 0.29/0.99 (assume @p141 (forall @t66 (or (= @t5 @t257) @t7))) % 0.29/0.99 (assume @p142 (forall @t260 (= (tptp.c_Nat_Osize__class_Osize @t259 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Nat_Osize__class_Osize @t258 tptp.tc_Lambda_OdB)) @t94)))) % 0.29/0.99 (assume @p143 (forall @t260 (= (tptp.c_Lambda_OdB_OdB__size @t259) (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Lambda_OdB_OdB__size @t258)) @t94)))) % 0.29/0.99 (assume @p144 (forall @t264 (= (tptp.c_Nat_Osize__class_Osize @t263 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Nat_Osize__class_Osize @t262 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t261 tptp.tc_Lambda_OdB))) @t94)))) % 0.29/0.99 (assume @p145 (forall @t264 (= (tptp.c_Lambda_OdB_OdB__size @t263) (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Lambda_OdB_OdB__size @t262)) (tptp.c_Lambda_OdB_OdB__size @t261))) @t94)))) % 0.29/0.99 (assume @p146 (forall (@list @t21 @t109 @t19) (or @t266 (= (tptp.c_List_Ofoldr @t67 @t109 @t19 @t21 @t21) @t265)))) % 0.29/0.99 (assume @p147 (forall @t268 (or (not (= (tptp.c_Suc @t2) @t135)) @t267))) % 0.29/0.99 (assume @p148 (forall (@list @t35 @t34) (or (not (= @t137 (tptp.c_Suc @t34))) @t83))) % 0.29/0.99 (assume @p149 (forall @t62 (or @t213 (not (= @t211 @t24)) @t269))) % 0.29/0.99 (assume @p150 (forall @t12 (or @t270 @t114))) % 0.29/0.99 (assume @p151 (forall @t12 (or @t270 @t115))) % 0.29/0.99 (assume @p152 (forall (@list @t35 @t19) (or (not (= @t35 (tptp.hAPP @t271 @t19))) (= @t19 @t1)))) % 0.29/0.99 (assume @p153 (forall @t12 (or (not (= @t90 @t8)) @t114))) % 0.29/0.99 (assume @p154 (forall (@list @t21 @t35 @t19) (or @t59 @t58 (not (= @t35 (tptp.hAPP @t225 @t19))) @t269))) % 0.29/0.99 (assume @p155 (forall @t161 (or (not (tptp.class_Nat_Osemiring__char__0 @t21)) (not (= @t159 @t158)) @t51))) % 0.29/0.99 (assume @p156 (forall (@list @t21 @t35 @t34 @t224) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t21)) (= (tptp.c_List_Ofoldl @t67 @t272 @t224 @t21 @t21) (tptp.hAPP @t225 (tptp.c_List_Ofoldl @t67 @t34 @t224 @t21 @t21)))))) % 0.29/0.99 (assume @p157 (forall @t84 (or @t274 (= @t272 (tptp.hAPP @t273 @t35))))) % 0.29/0.99 (assume @p158 (forall (@list @t8 @t64 @t43 @t5) (or (not (= (tptp.hAPP @t76 @t64) @t80)) @t133 @t13))) % 0.29/0.99 (assume @p159 (forall @t12 (= @t90 @t70))) % 0.29/0.99 (assume @p160 (forall @t28 (or @t276 (= @t92 @t275)))) % 0.29/0.99 (assume @p161 (forall (@list @t21 @t19 @t128) (or @t274 (= @t131 @t151)))) % 0.29/0.99 (assume @p162 (forall (@list @t44 @t8 @t42) (or (tptp.c_HOL_Oord__class_Oless @t44 (tptp.hAPP @t76 @t42) tptp.tc_nat) @t95))) % 0.29/0.99 (assume @p163 (forall (@list @t44 @t42 @t8) (or (tptp.c_HOL_Oord__class_Oless @t44 (tptp.hAPP @t71 @t8) tptp.tc_nat) @t95))) % 0.29/0.99 (assume @p164 (forall @t50 (or @t192 (not (tptp.c_HOL_Oord__class_Oless @t144 @t43 tptp.tc_nat))))) % 0.29/0.99 (assume @p165 (forall @t281 (or @t280 (not (tptp.c_HOL_Oord__class_Oless @t35 @t277 tptp.tc_nat))))) % 0.29/0.99 (assume @p166 (forall @t281 (or @t280 (not @t282)))) % 0.29/0.99 (assume @p167 (forall (@list @t8 @t35) (tptp.c_HOL_Oord__class_Oless @t8 (tptp.c_Suc (tptp.hAPP @t76 @t35)) tptp.tc_nat))) % 0.29/0.99 (assume @p168 (forall @t283 (tptp.c_HOL_Oord__class_Oless @t44 (tptp.c_Suc (tptp.hAPP @t76 @t44)) tptp.tc_nat))) % 0.29/0.99 (assume @p169 (forall @t283 (tptp.c_HOL_Oord__class_Oless @t44 (tptp.c_Suc (tptp.hAPP @t45 @t8)) tptp.tc_nat))) % 0.29/0.99 (assume @p170 (forall @t55 (not (= @t1 @t54)))) % 0.29/0.99 (assume @p171 (forall @t136 (not (= @t1 @t135)))) % 0.29/0.99 (assume @p172 (forall @t12 (= @t285 @t284))) % 0.29/0.99 (assume @p173 (forall @t12 (= @t286 @t284))) % 0.29/0.99 (assume @p174 (forall @t289 (or @t288 (not (tptp.c_Wellfounded_Oaccp @t287 @t104 tptp.tc_Lambda_OdB))))) % 0.29/0.99 (assume @p175 (forall (@list @t176) (or (tptp.c_Wellfounded_Oaccp @t287 @t176 tptp.tc_Lambda_OdB) @t290))) % 0.29/0.99 (assume @p176 (forall (@list @t104 @t21 @t35 @t277 @t34) (or (tptp.hBOOL (tptp.hAPP @t106 @t277)) (not (tptp.hBOOL (tptp.hAPP @t291 @t277))) (not @t107)))) % 0.29/0.99 (assume @p177 (forall @t293 (or @t174 @t173 @t292))) % 0.29/0.99 (assume @p178 (forall @t293 (or @t174 @t292 @t173))) % 0.29/0.99 (assume @p179 (forall (@list @t104 @t21 @t35) (tptp.hBOOL (tptp.hAPP @t106 @t35)))) % 0.29/0.99 (assume @p180 (forall (@list @t104 @t21 @t19) (tptp.hBOOL (tptp.hAPP @t168 @t19)))) % 0.29/0.99 (assume @p181 (forall (@list @t294 @t21) (tptp.c_List_Olistsp @t294 @t110 @t21))) % 0.29/0.99 (assume @p182 (= @t127 @t94)) % 0.29/0.99 (assume @p183 (forall @t66 (= @t53 (tptp.hAPP (tptp.hAPP @t29 @t65) @t5)))) % 0.29/0.99 (assume @p184 (forall @t66 (= @t53 (tptp.hAPP @t30 @t65)))) % 0.29/0.99 (assume @p185 (forall @t121 (or @t213 (= (tptp.hAPP @t295 @t24) @t24)))) % 0.29/0.99 (assume @p186 (= (tptp.hAPP @t155 @t1) @t1)) % 0.29/0.99 (assume @p187 (forall @t297 (or @t274 (= @t296 (tptp.hAPP (tptp.hAPP @t67 @t272) @t277))))) % 0.29/0.99 (assume @p188 (forall @t297 (or @t63 (= @t296 (tptp.hAPP @t273 @t298))))) % 0.29/0.99 (assume @p189 (forall @t281 (= (tptp.hAPP @t271 @t279) (tptp.hAPP @t278 @t299)))) % 0.29/0.99 (assume @p190 (forall @t88 (= (tptp.hAPP (tptp.hAPP @t29 @t90) @t43) (tptp.hAPP @t76 @t75)))) % 0.29/0.99 (assume @p191 (forall @t149 (or @t276 @t303))) % 0.29/0.99 (assume @p192 (forall @t149 (or @t276 (= @t300 (tptp.hAPP @t129 @t131))))) % 0.29/0.99 (assume @p193 (forall @t149 (or @t266 @t303))) % 0.29/0.99 (assume @p194 (forall @t307 (or @t274 (= @t306 (tptp.hAPP @t304 @t69))))) % 0.29/0.99 (assume @p195 (forall @t149 (or @t274 (= @t302 (tptp.hAPP @t304 @t18))))) % 0.29/0.99 (assume @p196 (forall @t307 (or @t274 (= @t306 (tptp.hAPP @t150 (tptp.hAPP @t91 @t69)))))) % 0.29/0.99 (assume @p197 (forall @t149 (or @t274 @t303))) % 0.29/0.99 (assume @p198 (forall (@list @t104 @t21 @t116 @t18 @t19) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t143 @t18) @t19)) @t166))) % 0.29/0.99 (assume @p199 (forall (@list @t104 @t308 @t309 @t21 @t116) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t104 @t308) @t309)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t143 @t309) @t308)))))) % 0.29/0.99 (assume @p200 (forall (@list @t104 @t21 @t116 @t19 @t18) (or @t311 (not @t310)))) % 0.29/0.99 (assume @p201 (forall (@list @t104 @t18 @t19 @t21 @t116) (or @t310 (not @t311)))) % 0.29/0.99 (assume @p202 (forall (@list @t21 @t35 @t34 @t277 @t246) (or @t63 (not (= @t296 (tptp.hAPP @t273 @t246))) (= @t298 @t246)))) % 0.29/0.99 (assume @p203 (forall (@list @t118 @t116 @t19 @t21) (= (tptp.c_List_Ofoldr @t118 @t117 @t19 @t116 @t21) @t19))) % 0.29/0.99 (assume @p204 (= @t94 @t156)) % 0.29/0.99 (assume @p205 (forall @t121 (or @t160 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t65 @t21) @t119)))) % 0.29/0.99 (assume @p206 (forall @t121 (or @t120 (not (= @t24 @t119))))) % 0.29/0.99 (assume @p207 (forall @t12 (or @t113 @t112 @t114))) % 0.29/0.99 (assume @p208 (forall @t12 (or @t113 @t115 @t111))) % 0.29/0.99 (assume @p209 (forall @t214 (or @t160 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t54 @t21) (tptp.hAPP @t312 @t159))))) % 0.29/0.99 (assume @p210 (forall @t12 (= @t285 @t286))) % 0.29/0.99 (assume @p211 (forall (@list @t104 @t21 @t34 @t35) (or @t314 (not @t313)))) % 0.29/0.99 (assume @p212 (forall @t108 (or @t313 (not @t314)))) % 0.29/0.99 (assume @p213 (forall (@list @t21 @t19 @t109) (or @t141 (= @t265 (tptp.hAPP @t91 @t140))))) % 0.29/0.99 (assume @p214 (forall @t12 (or @t157 (= @t54 @t5) @t14))) % 0.29/0.99 (assume @p215 (forall @t281 (or (not (= (tptp.hAPP @t271 @t34) @t299)) @t315))) % 0.29/0.99 (assume @p216 (forall @t78 (or (not (= @t77 @t75)) @t51))) % 0.29/0.99 (assume @p217 (forall @t82 (or (not (= @t81 @t80)) @t51))) % 0.29/0.99 (assume @p218 (forall @t297 (or @t59 @t58 (not (= @t272 @t298)) @t315))) % 0.29/0.99 (assume @p219 (forall @t149 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t21)) @t317 @t316))) % 0.29/0.99 (assume @p220 (forall @t149 (or @t318 @t317 @t316))) % 0.29/0.99 (assume @p221 (forall @t221 (or @t318 (not (= @t275 @t151)) @t316))) % 0.29/0.99 (assume @p222 (forall (@list @t176 @t319 @t44 @t42 @t246) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t185 (tptp.c_Lambda_Olift @t319 @t44)) (tptp.c_Suc @t42))) (tptp.hAPP (tptp.hAPP @t321 @t319) @t42)) @t44) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t320) @t319) @t42)) @t190))) % 0.29/0.99 (assume @p223 (forall @t12 (or @t162 @t112 @t114))) % 0.29/0.99 (assume @p224 (forall @t12 (or @t162 @t115 @t111))) % 0.29/0.99 (assume @p225 (forall (@list @t21 @t19 @t18 @t128 @t69) (or @t274 (= (tptp.hAPP @t301 @t305) (tptp.hAPP @t304 @t130))))) % 0.29/0.99 (assume @p226 (forall @t139 (or @t322 @t138))) % 0.29/0.99 (assume @p227 (forall @t12 (or @t14 @t126))) % 0.29/0.99 (assume @p228 (forall @t17 (or @t125 @t13))) % 0.29/0.99 (assume @p229 (forall (@list @t176 @t44 @t43) (or (= (tptp.c_Lambda_Olift @t191 @t87) (tptp.c_Lambda_Olift @t323 @t44)) (not (tptp.c_HOL_Oord__class_Oless @t44 @t163 tptp.tc_nat))))) % 0.29/0.99 (assume @p230 (forall @t121 (or @t142 (tptp.c_HOL_Oord__class_Oless @t24 (tptp.hAPP @t312 @t119) @t21)))) % 0.29/0.99 (assume @p231 (forall (@list @t104 @t21) (= (tptp.c_Transitive__Closure_Ortranclp @t105 @t21) @t105))) % 0.29/0.99 (assume @p232 (forall @t60 (or @t274 (= (tptp.hAPP @t295 @t35) @t35)))) % 0.29/0.99 (assume @p233 (forall @t62 (or @t276 @t324))) % 0.29/0.99 (assume @p234 (forall @t139 (= @t35 (tptp.hAPP @t271 @t1)))) % 0.29/0.99 (assume @p235 (forall @t66 (= (tptp.hAPP @t155 @t5) @t5))) % 0.29/0.99 (assume @p236 (forall @t55 (= (tptp.hAPP @t76 @t1) @t8))) % 0.29/0.99 (assume @p237 (forall @t60 (or @t59 @t58 (= @t35 (tptp.hAPP @t225 @t24))))) % 0.29/0.99 (assume @p238 (forall @t62 (or @t276 @t325))) % 0.29/0.99 (assume @p239 (forall @t62 (or @t141 @t324))) % 0.29/0.99 (assume @p240 (forall @t62 (or @t141 @t325))) % 0.29/0.99 (assume @p241 (forall @t62 (or @t274 @t325))) % 0.29/0.99 (assume @p242 (forall @t62 (or @t274 @t324))) % 0.29/0.99 (assume @p243 (forall (@list @t35 @t5) (or (tptp.c_HOL_Oord__class_Oless @t137 @t53 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t35 @t5 tptp.tc_nat))))) % 0.29/0.99 (assume @p244 (forall @t12 (or @t13 (not @t326)))) % 0.29/0.99 (assume @p245 (forall @t12 (or @t326 @t14))) % 0.29/0.99 (assume @p246 (forall (@list @t327 @t5 @t319) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t327 @t331 tptp.tc_Lambda_OdB) @t330))) % 0.29/0.99 (assume @p247 (forall (@list @t97 @t246 @t98 @t176) (or (tptp.hBOOL (tptp.hAPP @t336 @t335)) @t334))) % 0.29/0.99 (assume @p248 (forall (@list @t176 @t164 @t43) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t196) @t164) @t43) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t185 (tptp.c_Lambda_Olift @t164 @t1)) @t163))))) % 0.29/0.99 (assume @p249 (forall @t340 (or @t339 @t338 @t230))) % 0.29/0.99 (assume @p250 (forall (@list @t97 @t200 @t98 @t205 @t44 @t175 @t203) (or (tptp.c_Type_Otypings @t97 @t200 @t208) @t207 @t204 @t202))) % 0.29/0.99 (assume @p251 (forall (@list @t97 @t175 @t98 @t44) (or (tptp.c_Type_Otypings @t97 @t175 @t342) @t341))) % 0.29/0.99 (assume @p252 (forall @t343 (or (tptp.hBOOL (tptp.hAPP @t337 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t182 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t179))) % 0.29/0.99 (assume @p253 (forall (@list @t97 @t176 @t175 @t98 @t203) (or @t178 @t204 (not (tptp.hBOOL (tptp.hAPP @t337 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t203 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype))))))) % 0.29/0.99 (assume @p254 (forall @t343 (or (tptp.hBOOL (tptp.hAPP @t337 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t180 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t179))) % 0.29/0.99 (assume @p255 (forall (@list @t21 @t97 @t44 @t205 @t98) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP @t101 @t205)) @t1) @t98) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t99 (tptp.hAPP (tptp.hAPP @t100 @t1) @t98)) @t93) @t205)))) % 0.29/0.99 (assume @p256 (forall (@list @t97 @t98 @t176) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t346 @t199)) @t176) @t198)) @t197))) % 0.29/0.99 (assume @p257 (forall (@list @t97 @t176 @t98) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t346 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t97 @t176))) @t176) (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t97 @t176))) @t197))) % 0.29/0.99 (assume @p258 (forall @t348 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t347) @t184)) @t240))) % 0.29/0.99 (assume @p259 (forall (@list @t97 @t44 @t98 @t175) (or (tptp.hBOOL (tptp.hAPP @t349 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t342 @t98 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t341))) % 0.29/0.99 (assume @p260 (forall @t354 (or (not (tptp.c_Wellfounded_Oaccp @t287 @t353 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t287 @t164 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t287 @t352 tptp.tc_Lambda_OdB)))) % 0.29/0.99 (assume @p261 (forall (@list @t104 @t327 @t350) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t104 @t327 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t355)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t327 @t350 tptp.tc_Lambda_OdB))))) % 0.29/0.99 (assume @p262 (forall @t357 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t355) @t356)) @t240))) % 0.29/0.99 (assume @p263 (forall @t289 (= @t358 @t351))) % 0.29/0.99 (assume @p264 (forall @t361 (or @t360 @t359))) % 0.29/0.99 (assume @p265 (forall @t289 (= @t351 @t358))) % 0.29/0.99 (assume @p266 (forall @t354 (or @t362 @t359))) % 0.29/0.99 (assume @p267 (forall @t365 (or @t364 @t359))) % 0.29/0.99 (assume @p268 (forall @t55 (= @t363 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t363 @t236 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.99 (assume @p269 (forall (@list @t97 @t176 @t98 @t246) (or (tptp.hBOOL (tptp.hAPP @t337 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t335) @t98))) @t334))) % 0.29/0.99 (assume @p270 (forall @t367 (or @t142 @t366 @t7))) % 0.29/0.99 (assume @p271 (forall @t367 (or @t142 @t6 (not @t366)))) % 0.29/0.99 (assume @p272 (forall (@list @t319 @t5 @t327) (or (= @t319 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t328 @t331 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t330))) % 0.29/0.99 (assume @p273 (forall (@list @t5 @t327) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t329)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t327 tptp.tc_Lambda_OdB))))) % 0.29/0.99 (assume @p274 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t344 tptp.v_ea______) tptp.v_ia______) tptp.v_T____)) @t368) tptp.v_T_Ha______))) % 0.29/0.99 (assume @p275 (forall (@list @t370 @t369 @t2) (not (= @t371 @t3)))) % 0.29/0.99 (assume @p276 (forall @t373 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t165) @t196)) @t372))) % 0.29/0.99 (assume @p277 (forall (@list @t164 @t176 @t5 @t350) (not (= @t375 @t374)))) % 0.29/0.99 (assume @p278 (forall @t376 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t332 @t193))) @t290))) % 0.29/0.99 (assume @p279 (forall @t348 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t347) @t184)) @t237))) % 0.29/0.99 (assume @p280 (forall @t195 (or (= @t194 @t193) (not @t192)))) % 0.29/0.99 (assume @p281 (forall (@list @t176 @t43 @t164) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t323) @t164) @t43) @t176))) % 0.29/0.99 (assume @p282 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.29/0.99 (assume @p283 (forall (@list @t164 @t246 @t176) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t232 @t246)) @t333)) @t372))) % 0.29/0.99 (assume @p284 (forall (@list @t246 @t164 @t176) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t377 @t164)) (tptp.hAPP @t377 @t176))) @t372))) % 0.29/0.99 (assume @p285 (forall @t289 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t351)) @t378))) % 0.29/0.99 (assume @p286 (forall (@list @t104 @t175 @t164) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t104 @t175 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t164 @t175 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t379))) % 0.29/0.99 (assume @p287 (forall @t354 (or @t362 (= @t351 @t164)))) % 0.29/0.99 (assume @p288 (forall (@list @t35 @t164) (or @t322 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t380) @t164) @t35) @t164)))) % 0.29/0.99 (assume @p289 (forall @t66 (not (tptp.c_HOL_Oord__class_Oless @t5 @t1 tptp.tc_nat)))) % 0.29/0.99 (assume @p290 (forall @t55 (not (tptp.c_HOL_Oord__class_Oless @t8 @t1 tptp.tc_nat)))) % 0.29/0.99 (assume @p291 (forall (@list @t21 @t277 @t35 @t34) (or @t383 (tptp.c_HOL_Oord__class_Oless @t277 @t35 @t21) (not (tptp.c_HOL_Oord__class_Oless @t277 @t34 @t21)) @t382))) % 0.29/0.99 (assume @p292 (forall (@list @t21 @t35 @t277 @t34) (or @t384 (tptp.c_HOL_Oord__class_Oless @t35 @t277 @t21) (not (tptp.c_HOL_Oord__class_Oless @t34 @t277 @t21)) @t41))) % 0.29/0.99 (assume @p293 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.29/0.99 (assume @p294 (forall @t252 (or (= @t251 @t193) (= @t44 @t43) @t250))) % 0.29/0.99 (assume @p295 (forall @t245 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t244) @t242)) @t237))) % 0.29/0.99 (assume @p296 (forall (@list @t164 @t176 @t43) (= (tptp.c_Lambda_Olift @t233 @t43) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t164 @t43)) @t323)))) % 0.29/0.99 (assume @p297 (forall @t66 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t328)))) % 0.29/0.99 (assume @p298 (forall (@list @t2 @t385) (not (= @t3 @t386)))) % 0.29/0.99 (assume @p299 (forall @t354 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t352)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t164))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t353)))))) % 0.29/0.99 (assume @p300 (forall @t376 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t191)) @t290))) % 0.29/0.99 (assume @p301 (forall (@list @t5 @t175 @t104 @t350) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t328 @t175 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t351 @t350 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.29/0.99 (assume @p302 (forall (@list @t258 @t385) (or (not (= @t259 @t386)) (= @t258 @t385)))) % 0.29/0.99 (assume @p303 (forall (@list @t2 @t370 @t369) (not (= @t3 @t371)))) % 0.29/0.99 (assume @p304 (forall @t365 (or @t364 (= @t363 @t164)))) % 0.29/0.99 (assume @p305 (forall @t357 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t355) @t356)) @t237))) % 0.29/0.99 (assume @p306 (forall @t139 (not @t322))) % 0.29/0.99 (assume @p307 (forall @t66 (not (tptp.c_HOL_Oord__class_Oless @t5 @t5 tptp.tc_nat)))) % 0.29/0.99 (assume @p308 (forall @t60 (or @t383 @t387))) % 0.29/0.99 (assume @p309 (forall @t60 (or @t388 @t387))) % 0.29/0.99 (assume @p310 (forall @t60 (or @t384 @t387))) % 0.29/0.99 (assume @p311 (forall @t373 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t375) (tptp.hAPP @t241 @t1))))) % 0.29/0.99 (assume @p312 (forall @t389 (or @t220 @t381 @t36 @t83))) % 0.29/0.99 (assume @p313 (forall @t84 (or @t388 @t83 @t381 @t36))) % 0.29/0.99 (assume @p314 (forall @t17 (or @t124 @t13 @t51))) % 0.29/0.99 (assume @p315 (forall (@list @t20 @t5 @t8) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t20 @t5) @t8)) @t124 @t51 @t13))) % 0.29/0.99 (assume @p316 (forall (@list @t98 @t205 @t97 @t44 @t175) (or (= @t98 @t205) @t207 @t341))) % 0.29/0.99 (assume @p317 (forall (@list @t34 @t35) (or (tptp.c_HOL_Oord__class_Oless @t34 @t35 tptp.tc_nat) @t282 @t83))) % 0.29/0.99 (assume @p318 (forall @t389 (or @t388 @t381 @t36 @t83))) % 0.29/0.99 (assume @p319 (forall @t389 (or @t388 @t381 @t83 @t36))) % 0.29/0.99 (assume @p320 (forall @t84 (or @t388 @t83 @t36 @t381))) % 0.29/0.99 (assume @p321 (forall @t391 (or @t390 (= @t261 @t369)))) % 0.29/0.99 (assume @p322 (forall @t391 (or @t390 (= @t262 @t370)))) % 0.29/0.99 (assume @p323 (forall @t394 (or @t393 @t392))) % 0.29/0.99 (assume @p324 (forall @t394 (or @t393 @t379))) % 0.29/0.99 (assume @p325 (forall @t361 (or @t360 (= @t164 @t351)))) % 0.29/0.99 (assume @p326 (forall (@list @t396 @t164 @t176 @t205 @t98) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t397 @t233) @t205)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t397 @t176) @t98))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t397 @t164) @t395)))))) % 0.29/0.99 (assume @p327 (forall (@list @t44 @t176) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t193) @t176))))) % 0.29/0.99 (assume @p328 (forall @t66 (or @t6 @t114))) % 0.29/0.99 (assume @p329 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat))) % 0.29/0.99 (assume @p330 (forall @t249 (or (= @t248 @t247) @t398))) % 0.29/0.99 (assume @p331 (forall (@list @t104 @t44 @t42) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t243 @t193) @t42))) @t378))) % 0.29/0.99 (assume @p332 (forall @t402 (or @t401 (= @t253 @t399)))) % 0.29/0.99 (assume @p333 (forall @t402 (or @t401 (= @t254 @t400)))) % 0.29/0.99 (assume @p334 (forall (@list @t43 @t246) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t43)) @t246) @t43) @t246))) % 0.29/0.99 (assume @p335 (forall @t404 (or @t403 @t392))) % 0.29/0.99 (assume @p336 (forall @t404 (or @t403 @t51))) % 0.29/0.99 (assume @p337 (forall (@list @t385 @t262 @t261) (not (= @t386 @t263)))) % 0.29/0.99 (assume @p338 (forall @t268 (or (not (= @t3 (tptp.c_Lambda_OdB_OVar @t134))) @t267))) % 0.29/0.99 (assume @p339 (forall (@list @t262 @t261 @t385) (not (= @t263 @t386)))) % 0.29/0.99 (assume @p340 (forall (@list @t385 @t2) (not (= @t386 @t3)))) % 0.29/0.99 (assume @p341 (forall (@list @t176 @t246 @t164 @t43) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t333) @t164) @t43) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t186 @t43)) (tptp.hAPP (tptp.hAPP @t321 @t164) @t43))))) % 0.29/0.99 (assume @p342 (forall @t28 (or @t383 @t23 @t405))) % 0.29/0.99 (assume @p343 (forall @t84 (or @t388 @t41 @t382))) % 0.29/0.99 (assume @p344 (forall @t389 (or @t384 @t382 @t41))) % 0.29/0.99 (assume @p345 (forall (@list @t21 @t18 @t19) (or @t384 @t405 @t23))) % 0.29/0.99 (assume @p346 (forall (@list @t97 @t44 @t205 @t176 @t98) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t406 @t205)) @t191) @t98)) @t338))) % 0.29/0.99 (assume @p347 (forall (@list @t411 @t408 @t409 @t407) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t413 @t411) @t408))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t412 @t411) tptp.v_T____))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t411))) @t410))) % 0.29/0.99 (assume @p348 (forall (@list @t246 @t408 @t409 @t407) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t413 @t246) @t408))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t412 @t246) tptp.v_T____))) @t414 @t410))) % 0.29/0.99 (assume @p349 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping tptp.v_e____) tptp.v_u____) tptp.v_T____))) % 0.29/0.99 (assume @p350 (forall @t340 (or @t339 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t176) @t229))) @t338))) % 0.29/0.99 (assume @p351 (forall @t103 (or (= @t102 (tptp.hAPP @t97 @t42)) @t398))) % 0.29/0.99 (assume @p352 (forall @t420 (or @t419 @t417 (not (tptp.hBOOL (tptp.hAPP @t336 @t416))) @t414 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t406 @t416)) @t176) @t415))) @t290))) % 0.29/0.99 (assume @p353 (forall @t420 (or @t419 @t417 (not (tptp.hBOOL (tptp.hAPP @t336 @t418))) @t414 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t406 @t418)) @t176) @t415))) @t290))) % 0.29/0.99 (assume @p354 (forall (@list @t21 @t97 @t35 @t98) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t100 @t35) @t98) @t35) @t98))) % 0.29/0.99 (assume @p355 (forall (@list @t396 @t176 @t98 @t205) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t397 @t196) @t395)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t344 @t396) @t1) @t98)) @t176) @t205)))))) % 0.29/0.99 (assume @p356 (forall (@list @t97 @t44 @t98) (or (= (tptp.hAPP @t97 @t44) @t98) (not (tptp.hBOOL (tptp.hAPP @t349 @t98)))))) % 0.29/0.99 (assume @p357 @t424) % 0.29/0.99 (assume @p358 (not (= tptp.v_n____ tptp.v_i____))) % 0.29/0.99 (assume @p359 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping tptp.v_ea______) tptp.v_ua______) tptp.v_T____))) % 0.29/0.99 (assume @p360 (tptp.hBOOL (tptp.hAPP @t423 (tptp.v_sko__local__XCons__Xhyps__1__1 tptp.v_T____ tptp.v_a____ tptp.v_e____ tptp.v_i____)))) % 0.29/0.99 (assume @p361 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t422 @t368) tptp.v_T_H____))) % 0.29/0.99 (assume @p362 @t427) % 0.29/0.99 (assume @p363 (forall (@list @t396 @t35) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t397 @t380) (tptp.hAPP @t396 @t35))))) % 0.29/0.99 (assume @p364 (forall (@list @t428 @t246 @t205 @t44 @t176 @t98) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t429 @t246) @t205))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t344 @t428) @t44) @t205)) @t176) @t98))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t429 @t320) @t98))))) % 0.29/0.99 (assume @p365 (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t430) tptp.c_Lambda_Osubst) tptp.v_u____)) tptp.v_i____) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.29/0.99 (assume @p366 (tptp.c_List_Olistsp (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Lambda_OdB tptp.tc_bool tptp.tc_bool) (tptp.hAPP (tptp.hAPP @t439 tptp.c_and) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t466 tptp.tc_bool tptp.tc_Lambda_OdB) (tptp.c_All @t434)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t465 @t466 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t431 tptp.tc_bool @t434) (tptp.c_All tptp.tc_Type_Otype))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t464 @t465 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t436 @t431 @t434) (tptp.hAPP (tptp.c_COMBB @t435 tptp.tc_bool tptp.tc_Type_Otype) (tptp.c_All tptp.tc_Lambda_OdB)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t463 @t464 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t460 @t436 @t434) (tptp.hAPP (tptp.c_COMBB @t433 @t435 tptp.tc_Type_Otype) (tptp.hAPP (tptp.c_COMBB @t432 tptp.tc_bool tptp.tc_Lambda_OdB) (tptp.c_All tptp.tc_nat))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Lambda_OdB @t447 @t463) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t462 (tptp.tc_fun @t447 @t463) tptp.tc_Lambda_OdB) (tptp.c_COMBS @t434 @t433 @t460)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t459 @t462 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t458 @t461 @t434) (tptp.c_COMBC tptp.tc_Type_Otype @t433 @t433))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t457 @t459 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t456 @t458 @t434) (tptp.hAPP (tptp.c_COMBB @t442 @t446 tptp.tc_Type_Otype) (tptp.c_COMBB @t432 @t432 tptp.tc_Lambda_OdB)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t455 @t457 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t454 @t456 @t434) (tptp.hAPP (tptp.c_COMBB @t453 @t442 tptp.tc_Type_Otype) (tptp.c_COMBS tptp.tc_nat tptp.tc_bool tptp.tc_bool)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t452 @t455 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t451 @t454 @t434) (tptp.hAPP (tptp.c_COMBB @t432 @t453 tptp.tc_Type_Otype) (tptp.hAPP (tptp.c_COMBB tptp.tc_bool @t438 tptp.tc_nat) tptp.c_implies)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t434 @t450) @t452 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t450 @t451 @t434) (tptp.c_COMBC tptp.tc_nat tptp.tc_Type_Otype tptp.tc_bool))) (tptp.hAPP (tptp.c_COMBC @t434 tptp.tc_Lambda_OdB @t450) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t449 (tptp.tc_fun tptp.tc_Lambda_OdB @t450) @t434) (tptp.c_COMBC tptp.tc_nat tptp.tc_Lambda_OdB @t431)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t448 @t449 @t434) (tptp.hAPP (tptp.c_COMBB @t434 @t437 tptp.tc_nat) tptp.c_Type_Otyping)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t434 tptp.tc_Type_Otype @t448) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_nat (tptp.tc_fun tptp.tc_Type_Otype @t434)) (tptp.tc_fun tptp.tc_Type_Otype @t448) @t434) (tptp.c_COMBC tptp.tc_nat tptp.tc_Type_Otype @t434)) @t344)) tptp.v_T____))))))))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t447 @t447 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t433 @t433 @t434) (tptp.hAPP @t445 (tptp.hAPP @t443 (tptp.hAPP @t440 tptp.c_InductTermi_OIT))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t433 @t447 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBC @t434 @t433 @t433) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t444 @t446 @t434) @t445) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t441 @t444 @t434) @t443) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t435 @t441 @t434) @t440) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t434 tptp.tc_Type_Otype @t435) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t437 @t436 @t434) (tptp.c_COMBC tptp.tc_Lambda_OdB tptp.tc_Type_Otype tptp.tc_bool)) tptp.c_Type_Otyping)) tptp.v_T____)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Lambda_OdB @t430) @t433 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t430 @t432 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB tptp.tc_Lambda_OdB tptp.tc_bool tptp.tc_nat) tptp.c_InductTermi_OIT))) tptp.c_Lambda_Osubst)))))))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t431 tptp.tc_bool tptp.tc_Lambda_OdB) (tptp.c_Ex tptp.tc_Type_Otype)) @t422)) tptp.v_as____ tptp.tc_Lambda_OdB)) % 0.29/0.99 (assume @p367 (tptp.hBOOL (tptp.hAPP @t423 (tptp.v_sko__CHAINED__1 tptp.v_T____ tptp.v_a____ tptp.v_e____ tptp.v_i____)))) % 0.29/0.99 (assume @p368 (not tptp.v_thesis____)) % 0.29/0.99 (assume @p369 (forall @t139 (or tptp.v_thesis____ (not (tptp.hBOOL (tptp.hAPP @t423 @t35)))))) % 0.29/0.99 (assume @p370 (forall @t470 (or (tptp.class_Orderings_Opreorder @t469) (not (tptp.class_Orderings_Opreorder @t467))))) % 0.29/0.99 (assume @p371 (forall @t470 (or (tptp.class_Orderings_Oorder @t469) (not (tptp.class_Orderings_Oorder @t467))))) % 0.29/0.99 (assume @p372 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.29/0.99 (assume @p373 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.29/0.99 (assume @p374 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.29/0.99 (assume @p375 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.29/0.99 (assume @p376 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.29/0.99 (assume @p377 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.29/0.99 (assume @p378 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.29/0.99 (assume @p379 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.29/0.99 (assume @p380 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.29/0.99 (assume @p381 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.29/0.99 (assume @p382 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.29/0.99 (assume @p383 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.29/0.99 (assume @p384 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.29/0.99 (assume @p385 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.29/0.99 (assume @p386 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.29/0.99 (assume @p387 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.29/0.99 (assume @p388 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.29/0.99 (assume @p389 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.29/0.99 (assume @p390 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.29/0.99 (assume @p391 (forall @t60 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t122 @t35) @t35)))) % 0.29/0.99 (assume @p392 (forall (@list @t472 @t471 @t21) (or (= @t472 @t471) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t122 @t472) @t471)))))) % 0.29/0.99 (step @p393 :rule quant-miniscope-or :args ((= @t427 (or tptp.v_thesis____ @t473)))) % 0.29/0.99 (step @p394 :rule eq_resolve :premises (@p362 @p393)) % 0.29/0.99 (step @p395 :rule chain_m_resolution :premises (@p394 @p368) :args (@t473 (@list true) (@list tptp.v_thesis____))) % 0.29/0.99 (assume-push @p403 @t473) % 0.29/0.99 (step @p397 :rule instantiate :premises (@p395) :args ((@list @t421))) % 0.29/0.99 (step-pop @p404 :rule scope :premises (@p397)) % 0.29/0.99 (step @p398 :rule process_scope :premises (@p404) :args (@t474)) % 0.29/0.99 (step @p400 :rule implies_elim :premises (@p398)) % 0.29/0.99 (step @p401 :rule reordering :premises (@p400) :args ((or @t474 (not @t473)))) % 0.29/0.99 (step @p402 false :rule chain_m_resolution :premises (@p401 @p395 @p357) :args (false (@list false false) (@list @t473 @t424))) % 0.29/0.99 ) % 0.29/0.99 % SZS output end Proof % 0.29/0.99 % cvc5 exiting %------------------------------------------------------------------------------