%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL786-1 : 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 : n018.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 11:23:51 AM UTC 2026 % Result : Unsatisfiable 0.75s 1.12s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL786-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.13/0.39 % Computer : n018.cluster.edu % 0.13/0.39 % Model : x86_64 x86_64 % 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.39 % Memory : 8046.5625MB % 0.13/0.39 % OS : Linux 6.8.0-71-generic % 0.13/0.39 % CPULimit : 300 % 0.13/0.39 % WCLimit : 300 % 0.13/0.39 % DateTime : Fri Sep 4 23:31:18 UTC 2026 % 0.13/0.39 % CPUTime : % 0.30/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.75/1.12 % SZS status Unsatisfiable % 0.75/1.12 % SZS output start Proof % 0.85/1.16 ( % 0.85/1.16 (declare-sort $$unsorted 0) % 0.85/1.16 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.v_thesis____ Bool) % 0.85/1.16 (declare-const tptp.v_T_H____ $$unsorted) % 0.85/1.16 (declare-const tptp.v_ia______ $$unsorted) % 0.85/1.16 (declare-const tptp.v_n____ $$unsorted) % 0.85/1.16 (declare-const tptp.v_i____ $$unsorted) % 0.85/1.16 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Ex (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.tc_bool $$unsorted) % 0.85/1.16 (declare-const tptp.v_e____ $$unsorted) % 0.85/1.16 (declare-const tptp.v_T____ $$unsorted) % 0.85/1.16 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.85/1.16 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.v_as____ $$unsorted) % 0.85/1.16 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.v_ea______ $$unsorted) % 0.85/1.16 (declare-const tptp.v_ua______ $$unsorted) % 0.85/1.16 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.t_a $$unsorted) % 0.85/1.16 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.85/1.16 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_List_Obutlast (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.85/1.16 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.85/1.16 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.85/1.16 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.tc_nat $$unsorted) % 0.85/1.16 (declare-const tptp.v_u____ $$unsorted) % 0.85/1.16 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.v_rs____ $$unsorted) % 0.85/1.16 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.85/1.16 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.85/1.16 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.85/1.16 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted)) % 0.85/1.16 (declare-const tptp.v_a____ $$unsorted) % 0.85/1.16 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.85/1.16 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.16 (define @t1 () (@var "V_a" $$unsorted)) % 0.85/1.16 (define @t2 () (@var "V_c" $$unsorted)) % 0.85/1.16 (define @t3 () (@var "T_a" $$unsorted)) % 0.85/1.16 (define @t4 () (tptp.c_HOL_Oplus__class_Oplus @t3)) % 0.85/1.16 (define @t5 () (tptp.hAPP @t4 @t2)) % 0.85/1.16 (define @t6 () (tptp.hAPP @t5 @t1)) % 0.85/1.16 (define @t7 () (tptp.hAPP @t4 @t1)) % 0.85/1.16 (define @t8 () (tptp.hAPP @t7 @t2)) % 0.85/1.16 (define @t9 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t3))) % 0.85/1.16 (define @t10 () (@var "V_b" $$unsorted)) % 0.85/1.16 (define @t11 () (tptp.hAPP @t4 @t10)) % 0.85/1.16 (define @t12 () (tptp.hAPP @t11 @t1)) % 0.85/1.16 (define @t13 () (tptp.hAPP @t7 @t10)) % 0.85/1.16 (define @t14 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t3))) % 0.85/1.16 (define @t15 () (@list @t3 @t1 @t10)) % 0.85/1.16 (define @t16 () (@var "V_m" $$unsorted)) % 0.85/1.16 (define @t17 () (@var "V_n" $$unsorted)) % 0.85/1.16 (define @t18 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.85/1.16 (define @t19 () (tptp.hAPP @t18 @t17)) % 0.85/1.16 (define @t20 () (tptp.hAPP @t19 @t16)) % 0.85/1.16 (define @t21 () (tptp.hAPP @t18 @t16)) % 0.85/1.16 (define @t22 () (tptp.hAPP @t21 @t17)) % 0.85/1.16 (define @t23 () (@list @t16 @t17)) % 0.85/1.16 (define @t24 () (tptp.c_HOL_Oord__class_Oless @t16 @t17 tptp.tc_nat)) % 0.85/1.16 (define @t25 () (@var "V_l" $$unsorted)) % 0.85/1.16 (define @t26 () (@var "V_k" $$unsorted)) % 0.85/1.16 (define @t27 () (not (tptp.c_HOL_Oord__class_Oless @t26 @t25 tptp.tc_nat))) % 0.85/1.16 (define @t28 () (tptp.hAPP @t18 @t26)) % 0.85/1.16 (define @t29 () (tptp.hAPP @t28 @t17)) % 0.85/1.16 (define @t30 () (@var "V_x" $$unsorted)) % 0.85/1.16 (define @t31 () (@var "V_y" $$unsorted)) % 0.85/1.16 (define @t32 () (tptp.hAPP @t4 @t31)) % 0.85/1.16 (define @t33 () (tptp.hAPP @t4 @t30)) % 0.85/1.16 (define @t34 () (tptp.hAPP @t33 @t31)) % 0.85/1.16 (define @t35 () (@list @t3 @t30 @t31)) % 0.85/1.16 (define @t36 () (@var "V_zs" $$unsorted)) % 0.85/1.16 (define @t37 () (tptp.c_List_Oreplicate @t17 @t30 @t3)) % 0.85/1.16 (define @t38 () (@list @t17 @t30 @t3)) % 0.85/1.16 (define @t39 () (= @t16 @t17)) % 0.85/1.16 (define @t40 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t17 @t3)) % 0.85/1.16 (define @t41 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t16 @t3)) % 0.85/1.16 (define @t42 () (@list @t3 @t16 @t17)) % 0.85/1.16 (define @t43 () (tptp.c_HOL_Ozero__class_Ozero @t3)) % 0.85/1.16 (define @t44 () (= @t1 @t43)) % 0.85/1.16 (define @t45 () (not (tptp.class_Int_Onumber__ring @t3))) % 0.85/1.16 (define @t46 () (not (tptp.class_Ring__and__Field_Oidom @t3))) % 0.85/1.16 (define @t47 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.85/1.16 (define @t48 () (= @t17 @t47)) % 0.85/1.16 (define @t49 () (tptp.hAPP @t18 @t30)) % 0.85/1.16 (define @t50 () (@var "V_xs" $$unsorted)) % 0.85/1.16 (define @t51 () (tptp.c_List_Otake @t17 @t50 @t3)) % 0.85/1.16 (define @t52 () (tptp.c_List_Olist_OCons @t30 @t50 @t3)) % 0.85/1.16 (define @t53 () (tptp.c_Suc @t17)) % 0.85/1.16 (define @t54 () (= @t16 @t47)) % 0.85/1.16 (define @t55 () (not (= @t22 @t47))) % 0.85/1.16 (define @t56 () (tptp.hAPP @t7 @t1)) % 0.85/1.16 (define @t57 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t3))) % 0.85/1.16 (define @t58 () (@list @t3 @t1)) % 0.85/1.16 (define @t59 () (= @t30 @t31)) % 0.85/1.16 (define @t60 () (tptp.c_Suc @t30)) % 0.85/1.16 (define @t61 () (@var "V_nat_H" $$unsorted)) % 0.85/1.16 (define @t62 () (@var "V_nat" $$unsorted)) % 0.85/1.16 (define @t63 () (= @t62 @t61)) % 0.85/1.16 (define @t64 () (tptp.c_Suc @t61)) % 0.85/1.16 (define @t65 () (@list @t62 @t61)) % 0.85/1.16 (define @t66 () (@var "V_r" $$unsorted)) % 0.85/1.16 (define @t67 () (tptp.c_Transitive__Closure_Ortranclp @t66 @t3)) % 0.85/1.16 (define @t68 () (tptp.hAPP @t67 @t30)) % 0.85/1.16 (define @t69 () (tptp.hBOOL (tptp.hAPP @t68 @t31))) % 0.85/1.16 (define @t70 () (@list @t66 @t3 @t30 @t31)) % 0.85/1.16 (define @t71 () (tptp.c_List_Olist_ONil @t3)) % 0.85/1.16 (define @t72 () (tptp.c_Suc @t47)) % 0.85/1.16 (define @t73 () (= @t16 @t72)) % 0.85/1.16 (define @t74 () (= @t17 @t72)) % 0.85/1.16 (define @t75 () (not (= @t72 @t22))) % 0.85/1.16 (define @t76 () (tptp.tc_List_Olist @t3)) % 0.85/1.16 (define @t77 () (tptp.c_Nat_Osize__class_Osize @t50 @t76)) % 0.85/1.16 (define @t78 () (tptp.c_List_Obutlast @t50 @t3)) % 0.85/1.16 (define @t79 () (@list @t17 @t50 @t3)) % 0.85/1.16 (define @t80 () (@var "T_b" $$unsorted)) % 0.85/1.16 (define @t81 () (tptp.tc_List_Olist @t80)) % 0.85/1.16 (define @t82 () (@var "V_ys" $$unsorted)) % 0.85/1.16 (define @t83 () (tptp.c_Nat_Osize__class_Osize @t50 @t81)) % 0.85/1.16 (define @t84 () (@var "V_f" $$unsorted)) % 0.85/1.16 (define @t85 () (tptp.c_List_Omap @t84 @t82 @t80 @t3)) % 0.85/1.16 (define @t86 () (tptp.c_List_Omap @t84 @t50 @t80 @t3)) % 0.85/1.16 (define @t87 () (tptp.c_fequal @t3)) % 0.85/1.16 (define @t88 () (@list @t3)) % 0.85/1.16 (define @t89 () (tptp.c_HOL_Oord__class_Oless @t16 @t53 tptp.tc_nat)) % 0.85/1.16 (define @t90 () (tptp.c_HOL_Oord__class_Oless @t17 @t16 tptp.tc_nat)) % 0.85/1.16 (define @t91 () (tptp.c_Suc @t16)) % 0.85/1.16 (define @t92 () (tptp.c_HOL_Oord__class_Oless @t17 @t91 tptp.tc_nat)) % 0.85/1.16 (define @t93 () (not @t92)) % 0.85/1.16 (define @t94 () (@list @t17 @t16)) % 0.85/1.16 (define @t95 () (tptp.hAPP (tptp.hAPP @t18 @t72) @t47)) % 0.85/1.16 (define @t96 () (tptp.c_List_Orotate1 @t50 @t3)) % 0.85/1.16 (define @t97 () (@list @t50 @t3)) % 0.85/1.16 (define @t98 () (tptp.c_List_Oappend @t50 @t82 @t3)) % 0.85/1.16 (define @t99 () (@list @t50 @t82 @t3)) % 0.85/1.16 (define @t100 () (tptp.c_List_Olist_OCons @t31 @t82 @t3)) % 0.85/1.16 (define @t101 () (not (tptp.c_ListOrder_Ostep1 @t66 @t100 @t52 @t3))) % 0.85/1.16 (define @t102 () (= @t50 @t82)) % 0.85/1.16 (define @t103 () (tptp.c_ListOrder_Ostep1 @t66 @t82 @t50 @t3)) % 0.85/1.16 (define @t104 () (@list @t66 @t82 @t50 @t3 @t31 @t30)) % 0.85/1.16 (define @t105 () (tptp.c_List_Oreplicate @t26 @t30 @t3)) % 0.85/1.16 (define @t106 () (@var "V_j" $$unsorted)) % 0.85/1.16 (define @t107 () (@var "V_i" $$unsorted)) % 0.85/1.16 (define @t108 () (not (tptp.c_HOL_Oord__class_Oless @t107 @t106 tptp.tc_nat))) % 0.85/1.16 (define @t109 () (tptp.hAPP @t18 @t106)) % 0.85/1.16 (define @t110 () (tptp.hAPP @t18 @t107)) % 0.85/1.16 (define @t111 () (tptp.hAPP @t110 @t106)) % 0.85/1.16 (define @t112 () (tptp.c_HOL_Oord__class_Oless @t107 @t26 tptp.tc_nat)) % 0.85/1.16 (define @t113 () (@list @t107 @t26 @t106)) % 0.85/1.16 (define @t114 () (@var "V_z" $$unsorted)) % 0.85/1.16 (define @t115 () (tptp.hAPP @t18 @t31)) % 0.85/1.16 (define @t116 () (tptp.hAPP @t115 @t114)) % 0.85/1.16 (define @t117 () (tptp.c_HOL_Oord__class_Oless @t30 @t116 tptp.tc_nat)) % 0.85/1.16 (define @t118 () (@list @t30 @t31 @t114)) % 0.85/1.16 (define @t119 () (tptp.c_HOL_Oord__class_Oless @t30 @t31 tptp.tc_nat)) % 0.85/1.16 (define @t120 () (tptp.hAPP @t84 @t30)) % 0.85/1.16 (define @t121 () (@list @t84 @t50 @t80 @t3)) % 0.85/1.16 (define @t122 () (@list @t50 @t3 @t82)) % 0.85/1.16 (define @t123 () (tptp.c_List_Orev @t50 @t3)) % 0.85/1.16 (define @t124 () (tptp.c_List_Orev @t123 @t3)) % 0.85/1.16 (define @t125 () (tptp.c_List_Orev @t82 @t3)) % 0.85/1.16 (define @t126 () (@list @t82 @t3)) % 0.85/1.16 (define @t127 () (@list @t107 @t16)) % 0.85/1.16 (define @t128 () (= @t50 @t71)) % 0.85/1.16 (define @t129 () (@list @t16)) % 0.85/1.16 (define @t130 () (@list @t61)) % 0.85/1.16 (define @t131 () (tptp.c_Suc @t22)) % 0.85/1.16 (define @t132 () (tptp.hAPP (tptp.hAPP @t18 @t91) @t17)) % 0.85/1.16 (define @t133 () (tptp.hAPP @t21 @t53)) % 0.85/1.16 (define @t134 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t135 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t66))) % 0.85/1.16 (define @t136 () (@list @t66)) % 0.85/1.16 (define @t137 () (@var "V_t" $$unsorted)) % 0.85/1.16 (define @t138 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t137)))) % 0.85/1.16 (define @t139 () (tptp.hAPP @t67 @t31)) % 0.85/1.16 (define @t140 () (tptp.hAPP @t67 @t10)) % 0.85/1.16 (define @t141 () (not (tptp.hBOOL (tptp.hAPP @t140 @t1)))) % 0.85/1.16 (define @t142 () (tptp.c_Wellfounded_Oaccp @t66 @t1 @t3)) % 0.85/1.16 (define @t143 () (not @t142)) % 0.85/1.16 (define @t144 () (tptp.c_Wellfounded_Oaccp @t66 @t10 @t3)) % 0.85/1.16 (define @t145 () (@list @t66 @t10 @t3 @t1)) % 0.85/1.16 (define @t146 () (tptp.hAPP @t67 @t1)) % 0.85/1.16 (define @t147 () (tptp.c_List_Oreplicate @t16 @t30 @t3)) % 0.85/1.16 (define @t148 () (not (= @t147 (tptp.c_List_Oreplicate @t17 @t31 @t3)))) % 0.85/1.16 (define @t149 () (@list @t16 @t30 @t3 @t17 @t31)) % 0.85/1.16 (define @t150 () (tptp.c_List_Orev @t50 @t80)) % 0.85/1.16 (define @t151 () (@var "V_xa" $$unsorted)) % 0.85/1.16 (define @t152 () (tptp.hAPP @t66 @t31)) % 0.85/1.16 (define @t153 () (@var "V_list" $$unsorted)) % 0.85/1.16 (define @t154 () (tptp.c_List_Olist_OCons @t1 @t153 @t3)) % 0.85/1.16 (define @t155 () (tptp.c_List_Olist_OCons @t30 @t151 @t3)) % 0.85/1.16 (define @t156 () (tptp.c_Nat_Osize__class_Osize @t155 @t76)) % 0.85/1.16 (define @t157 () (tptp.c_Suc (tptp.c_Nat_Osize__class_Osize @t151 @t76))) % 0.85/1.16 (define @t158 () (@var "V_us" $$unsorted)) % 0.85/1.16 (define @t159 () (@var "V_vs" $$unsorted)) % 0.85/1.16 (define @t160 () (tptp.c_List_Oappend @t50 @t30 @t3)) % 0.85/1.16 (define @t161 () (not @t103)) % 0.85/1.16 (define @t162 () (@list @t30 @t151 @t3)) % 0.85/1.16 (define @t163 () (tptp.hAPP @t4 @t43)) % 0.85/1.16 (define @t164 () (tptp.hAPP @t18 @t47)) % 0.85/1.16 (define @t165 () (tptp.hAPP @t33 (tptp.hAPP @t32 @t114))) % 0.85/1.16 (define @t166 () (@list @t3 @t30 @t31 @t114)) % 0.85/1.16 (define @t167 () (tptp.hAPP @t33 @t114)) % 0.85/1.16 (define @t168 () (not (tptp.class_OrderedGroup_Oab__group__add @t3))) % 0.85/1.16 (define @t169 () (tptp.hAPP @t49 @t114)) % 0.85/1.16 (define @t170 () (tptp.hAPP @t19 @t26)) % 0.85/1.16 (define @t171 () (@list @t16 @t17 @t26)) % 0.85/1.16 (define @t172 () (tptp.hAPP @t11 @t2)) % 0.85/1.16 (define @t173 () (tptp.hAPP @t7 @t172)) % 0.85/1.16 (define @t174 () (tptp.hAPP @t4 @t13)) % 0.85/1.16 (define @t175 () (tptp.hAPP @t174 @t2)) % 0.85/1.16 (define @t176 () (= @t175 @t173)) % 0.85/1.16 (define @t177 () (@list @t3 @t1 @t10 @t2)) % 0.85/1.16 (define @t178 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t3))) % 0.85/1.16 (define @t179 () (@var "V_d" $$unsorted)) % 0.85/1.16 (define @t180 () (tptp.hAPP @t4 @t8)) % 0.85/1.16 (define @t181 () (tptp.hAPP @t5 @t179)) % 0.85/1.16 (define @t182 () (tptp.hAPP @t7 @t181)) % 0.85/1.16 (define @t183 () (@list @t3 @t1 @t2 @t179)) % 0.85/1.16 (define @t184 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 @t1) @t10)))) % 0.85/1.16 (define @t185 () (tptp.c_Predicate_Oconversep @t66 @t3 @t80)) % 0.85/1.16 (define @t186 () (@var "V_a2" $$unsorted)) % 0.85/1.16 (define @t187 () (@var "V_a1" $$unsorted)) % 0.85/1.16 (define @t188 () (tptp.hAPP @t66 @t10)) % 0.85/1.16 (define @t189 () (tptp.hBOOL (tptp.hAPP @t188 @t1))) % 0.85/1.16 (define @t190 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t1) @t10))) % 0.85/1.16 (define @t191 () (@var "V_u" $$unsorted)) % 0.85/1.16 (define @t192 () (tptp.hAPP @t164 @t72)) % 0.85/1.16 (define @t193 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t66 @t3 @t3) @t3) @t30) @t31))) % 0.85/1.16 (define @t194 () (tptp.hBOOL (tptp.hAPP @t139 @t30))) % 0.85/1.16 (define @t195 () (not @t24)) % 0.85/1.16 (define @t196 () (tptp.c_HOL_Oord__class_Oless @t91 @t17 tptp.tc_nat)) % 0.85/1.16 (define @t197 () (= @t31 @t114)) % 0.85/1.16 (define @t198 () (tptp.hAPP @t28 @t16)) % 0.85/1.16 (define @t199 () (@list @t26 @t16 @t17)) % 0.85/1.16 (define @t200 () (= @t10 @t2)) % 0.85/1.16 (define @t201 () (not (= @t13 @t8))) % 0.85/1.16 (define @t202 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t3))) % 0.85/1.16 (define @t203 () (@list @t3 @t10 @t1 @t2)) % 0.85/1.16 (define @t204 () (tptp.hBOOL (tptp.hAPP @t152 @t30))) % 0.85/1.16 (define @t205 () (not (= @t22 @t72))) % 0.85/1.16 (define @t206 () (tptp.hAPP @t11 @t179)) % 0.85/1.16 (define @t207 () (tptp.c_List_Oreplicate @t47 @t30 @t3)) % 0.85/1.16 (define @t208 () (tptp.c_HOL_Oord__class_Oless @t30 @t60 tptp.tc_nat)) % 0.85/1.16 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t30 @t30 tptp.tc_nat)) % 0.85/1.16 (define @t210 () (@list @t30)) % 0.85/1.16 (define @t211 () (@list @t3 @t30)) % 0.85/1.16 (define @t212 () (= (tptp.hAPP @t163 @t1) @t1)) % 0.85/1.16 (define @t213 () (@list @t17)) % 0.85/1.16 (define @t214 () (= (tptp.hAPP @t7 @t43) @t1)) % 0.85/1.16 (define @t215 () (not (tptp.class_OrderedGroup_Omonoid__add @t3))) % 0.85/1.16 (define @t216 () (tptp.c_List_Orev @t71 @t3)) % 0.85/1.16 (define @t217 () (tptp.c_HOL_Oord__class_Oless @t91 @t53 tptp.tc_nat)) % 0.85/1.16 (define @t218 () (tptp.c_HOL_Oord__class_Oless @t1 @t10 @t3)) % 0.85/1.16 (define @t219 () (not @t218)) % 0.85/1.16 (define @t220 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t3))) % 0.85/1.16 (define @t221 () (tptp.hAPP @t110 @t26)) % 0.85/1.16 (define @t222 () (tptp.c_Suc @t107)) % 0.85/1.16 (define @t223 () (@list @t3 @t50)) % 0.85/1.16 (define @t224 () (tptp.c_HOL_Oord__class_Oless @t8 @t172 @t3)) % 0.85/1.16 (define @t225 () (@list @t3 @t1 @t2 @t10)) % 0.85/1.16 (define @t226 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t3))) % 0.85/1.16 (define @t227 () (tptp.c_HOL_Oord__class_Oless @t6 (tptp.hAPP @t5 @t10) @t3)) % 0.85/1.16 (define @t228 () (@list @t3 @t2 @t1 @t10)) % 0.85/1.16 (define @t229 () (tptp.c_HOL_Oord__class_Oless @t198 @t29 tptp.tc_nat)) % 0.85/1.16 (define @t230 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t3))) % 0.85/1.16 (define @t231 () (tptp.hBOOL (tptp.hAPP @t146 @t2))) % 0.85/1.16 (define @t232 () (@list @t66 @t3 @t1 @t2 @t10)) % 0.85/1.16 (define @t233 () (tptp.c_List_Olast @t50 @t3)) % 0.85/1.16 (define @t234 () (tptp.c_HOL_Oord__class_Oless @t43 @t1 @t3)) % 0.85/1.16 (define @t235 () (not @t234)) % 0.85/1.16 (define @t236 () (tptp.c_HOL_Oord__class_Oless @t43 @t56 @t3)) % 0.85/1.16 (define @t237 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t3))) % 0.85/1.16 (define @t238 () (tptp.c_HOL_Oord__class_Oless @t1 @t43 @t3)) % 0.85/1.16 (define @t239 () (not @t238)) % 0.85/1.16 (define @t240 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t3))) % 0.85/1.16 (define @t241 () (tptp.c_HOL_Oord__class_Oless @t56 @t43 @t3)) % 0.85/1.16 (define @t242 () (not @t241)) % 0.85/1.16 (define @t243 () (not (tptp.class_Ring__and__Field_Oordered__idom @t3))) % 0.85/1.16 (define @t244 () (tptp.c_HOL_Oord__class_Oless @t41 @t40 @t3)) % 0.85/1.16 (define @t245 () (tptp.c_HOL_Oord__class_Oless @t47 @t16 tptp.tc_nat)) % 0.85/1.16 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t47 @t22 tptp.tc_nat)) % 0.85/1.16 (define @t247 () (tptp.c_HOL_Oord__class_Oless @t47 @t17 tptp.tc_nat)) % 0.85/1.16 (define @t248 () (not @t247)) % 0.85/1.16 (define @t249 () (@list @t30 @t3)) % 0.85/1.16 (define @t250 () (tptp.c_Nat_Osize__class_Osize @t71 @t76)) % 0.85/1.16 (define @t251 () (tptp.c_List_Olist_OCons @t30 @t71 @t3)) % 0.85/1.16 (define @t252 () (tptp.c_List_Orev @t251 @t3)) % 0.85/1.16 (define @t253 () (@list @t30 @t50 @t3)) % 0.85/1.16 (define @t254 () (= @t50 @t251)) % 0.85/1.16 (define @t255 () (= @t36 @t52)) % 0.85/1.16 (define @t256 () (tptp.c_List_Osko__List__Xappend__eq__Cons__conv__1__1 @t30 @t50 @t82 @t36 @t3)) % 0.85/1.16 (define @t257 () (= (tptp.c_List_Oappend @t256 @t36 @t3) @t50)) % 0.85/1.16 (define @t258 () (tptp.c_List_Oappend @t82 @t36 @t3)) % 0.85/1.16 (define @t259 () (not (= @t258 @t52))) % 0.85/1.16 (define @t260 () (@list @t82 @t36 @t3 @t30 @t50)) % 0.85/1.16 (define @t261 () (= @t52 @t36)) % 0.85/1.16 (define @t262 () (tptp.c_List_Osko__List__XCons__eq__append__conv__1__1 @t30 @t50 @t82 @t36 @t3)) % 0.85/1.16 (define @t263 () (= (tptp.c_List_Olist_OCons @t30 @t262 @t3) @t82)) % 0.85/1.16 (define @t264 () (not (= @t52 @t258))) % 0.85/1.16 (define @t265 () (@list @t30 @t50 @t3 @t82 @t36)) % 0.85/1.16 (define @t266 () (= @t82 (tptp.c_List_Olist_OCons @t30 @t256 @t3))) % 0.85/1.16 (define @t267 () (= @t50 (tptp.c_List_Oappend @t262 @t36 @t3))) % 0.85/1.16 (define @t268 () (tptp.c_List_Oappend @t50 @t71 @t3)) % 0.85/1.16 (define @t269 () (= @t82 @t71)) % 0.85/1.16 (define @t270 () (@var "V_s_H" $$unsorted)) % 0.85/1.16 (define @t271 () (@var "V_s" $$unsorted)) % 0.85/1.16 (define @t272 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t273 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t272 @t271) @t270)))) % 0.85/1.16 (define @t274 () (@var "V_t_H" $$unsorted)) % 0.85/1.16 (define @t275 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t272 @t137) @t274)))) % 0.85/1.16 (define @t276 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t270)) % 0.85/1.16 (define @t277 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t271)) % 0.85/1.16 (define @t278 () (tptp.hAPP @t277 @t137)) % 0.85/1.16 (define @t279 () (tptp.hAPP @t272 @t278)) % 0.85/1.16 (define @t280 () (tptp.c_Lambda_OdB_OAbs @t271)) % 0.85/1.16 (define @t281 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t66) @t271)))) % 0.85/1.16 (define @t282 () (tptp.hAPP tptp.c_Lambda_Osubst @t137)) % 0.85/1.16 (define @t283 () (tptp.hAPP @t282 @t271)) % 0.85/1.16 (define @t284 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t272 (tptp.hAPP (tptp.hAPP @t282 @t66) @t107)) (tptp.hAPP @t283 @t107)))) % 0.85/1.16 (define @t285 () (@list @t137 @t66 @t107 @t271)) % 0.85/1.16 (define @t286 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t272 @t66) @t271)))) % 0.85/1.16 (define @t287 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t271) @t137)) % 0.85/1.16 (define @t288 () (tptp.hAPP @t287 @t107)) % 0.85/1.16 (define @t289 () (tptp.hAPP tptp.c_Lambda_Osubst @t66)) % 0.85/1.16 (define @t290 () (tptp.hAPP (tptp.hAPP @t289 @t137) @t107)) % 0.85/1.16 (define @t291 () (@list @t66 @t137 @t107 @t271)) % 0.85/1.16 (define @t292 () (@var "V_v" $$unsorted)) % 0.85/1.16 (define @t293 () (@var "V_rs" $$unsorted)) % 0.85/1.16 (define @t294 () (tptp.c_Lambda_OdB_OVar @t17)) % 0.85/1.16 (define @t295 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t294 @t293 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t296 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t295) @t292)))) % 0.85/1.16 (define @t297 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t17 @t293 @t292)) % 0.85/1.16 (define @t298 () (@var "V_T" $$unsorted)) % 0.85/1.16 (define @t299 () (@var "V_e" $$unsorted)) % 0.85/1.16 (define @t300 () (tptp.c_Type_Otyping @t299)) % 0.85/1.16 (define @t301 () (tptp.hAPP @t300 @t137)) % 0.85/1.16 (define @t302 () (not (tptp.hBOOL (tptp.hAPP @t301 @t298)))) % 0.85/1.16 (define @t303 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t300 @t274) @t298))) % 0.85/1.16 (define @t304 () (@list @t299 @t274 @t298 @t137)) % 0.85/1.16 (define @t305 () (tptp.hAPP tptp.c_Lambda_Olift @t271)) % 0.85/1.16 (define @t306 () (tptp.hAPP @t305 @t107)) % 0.85/1.16 (define @t307 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t66) @t107)) % 0.85/1.16 (define @t308 () (@list @t66 @t107 @t271)) % 0.85/1.16 (define @t309 () (@var "V_U" $$unsorted)) % 0.85/1.16 (define @t310 () (tptp.c_List_Ofoldl @t4 @t1 @t50 @t3 @t3)) % 0.85/1.16 (define @t311 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t312 () (@var "V_ts" $$unsorted)) % 0.85/1.16 (define @t313 () (= @t312 @t311)) % 0.85/1.16 (define @t314 () (tptp.c_List_Olist_OCons @t271 @t311 tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t315 () (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t66 @t271 @t137 @t312)) % 0.85/1.16 (define @t316 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t137 @t312 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t317 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t66) @t271)) % 0.85/1.16 (define @t318 () (not (= @t317 @t316))) % 0.85/1.16 (define @t319 () (@list @t66 @t271 @t137 @t312)) % 0.85/1.16 (define @t320 () (tptp.c_List_Olist_OCons @t30 @t50 @t80)) % 0.85/1.16 (define @t321 () (tptp.c_List_Oappend @t155 @t36 @t3)) % 0.85/1.16 (define @t322 () (tptp.c_List_Olist_OCons @t30 (tptp.c_List_Oappend @t151 @t36 @t3) @t3)) % 0.85/1.16 (define @t323 () (@var "V_xs1" $$unsorted)) % 0.85/1.16 (define @t324 () (@var "V_ss" $$unsorted)) % 0.85/1.16 (define @t325 () (= @t324 @t311)) % 0.85/1.16 (define @t326 () (tptp.c_Lambda_OdB_OAbs @t66)) % 0.85/1.16 (define @t327 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t271 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t328 () (not (= @t327 @t326))) % 0.85/1.16 (define @t329 () (@list @t271 @t324 @t66)) % 0.85/1.16 (define @t330 () (@var "V_list_H" $$unsorted)) % 0.85/1.16 (define @t331 () (@var "V_a_H" $$unsorted)) % 0.85/1.16 (define @t332 () (tptp.c_List_Olist_OCons @t331 @t330 @t3)) % 0.85/1.16 (define @t333 () (@var "V_xc" $$unsorted)) % 0.85/1.16 (define @t334 () (@var "V_f1" $$unsorted)) % 0.85/1.16 (define @t335 () (@var "V_P" $$unsorted)) % 0.85/1.16 (define @t336 () (@var "V_f2" $$unsorted)) % 0.85/1.16 (define @t337 () (tptp.hAPP @t334 @t62)) % 0.85/1.16 (define @t338 () (tptp.hBOOL (tptp.hAPP @t335 @t337))) % 0.85/1.16 (define @t339 () (tptp.c_Type_Otype_OAtom @t62)) % 0.85/1.16 (define @t340 () (not @t135)) % 0.85/1.16 (define @t341 () (not @t112)) % 0.85/1.16 (define @t342 () (tptp.c_Lambda_OdB_OVar @t107)) % 0.85/1.16 (define @t343 () (tptp.c_Lambda_Oliftn @t17 @t342 @t26)) % 0.85/1.16 (define @t344 () (@list @t17 @t107 @t26)) % 0.85/1.16 (define @t345 () (tptp.hAPP tptp.c_Lambda_Olift @t137)) % 0.85/1.16 (define @t346 () (tptp.hAPP @t345 @t26)) % 0.85/1.16 (define @t347 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t326 @t311 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t348 () (@list @t50 @t30 @t3)) % 0.85/1.16 (define @t349 () (tptp.c_Lambda_OdB_OVar @t30)) % 0.85/1.16 (define @t350 () (@list @t30 @t271)) % 0.85/1.16 (define @t351 () (tptp.c_List_Oappend @t71 @t52 @t3)) % 0.85/1.16 (define @t352 () (tptp.c_List_Olist_ONil @t80)) % 0.85/1.16 (define @t353 () (tptp.c_List_Omap @t84 @t352 @t80 @t3)) % 0.85/1.16 (define @t354 () (tptp.c_List_Oappend @t71 @t71 @t3)) % 0.85/1.16 (define @t355 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t271) @t137)))) % 0.85/1.16 (define @t356 () (tptp.c_Lambda_OdB_OAbs @t137)) % 0.85/1.16 (define @t357 () (@list @t271 @t137)) % 0.85/1.16 (define @t358 () (tptp.c_List_Ofoldl @t84 @t1 @t50 @t3 @t80)) % 0.85/1.16 (define @t359 () (tptp.c_List_Oappend @t50 @t82 @t80)) % 0.85/1.16 (define @t360 () (@list @t334 @t336 @t62 @t3)) % 0.85/1.16 (define @t361 () (tptp.c_List_Oappend @t30 @t314 tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t362 () (tptp.c_HOL_Oord__class_Oless @t43 @t40 @t3)) % 0.85/1.16 (define @t363 () (@list @t3 @t17)) % 0.85/1.16 (define @t364 () (tptp.c_List_Ofoldr @t84 @t50 @t1 @t80 @t3)) % 0.85/1.16 (define @t365 () (tptp.c_List_Ofoldr @t4 @t50 @t43 @t3 @t3)) % 0.85/1.16 (define @t366 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t367 () (@list @t66 @t324 @t271)) % 0.85/1.16 (define @t368 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t326) @t271) @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t369 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t289 @t271) @t47) @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t370 () (@list @t66 @t271 @t324)) % 0.85/1.16 (define @t371 () (tptp.c_List_Oappend @t50 @t251 @t3)) % 0.85/1.16 (define @t372 () (tptp.c_List_Olist_OCons @t31 @t71 @t3)) % 0.85/1.16 (define @t373 () (tptp.c_List_Oappend @t82 @t372 @t3)) % 0.85/1.16 (define @t374 () (not (tptp.c_ListOrder_Ostep1 @t66 @t373 @t371 @t3))) % 0.85/1.16 (define @t375 () (= @t31 @t30)) % 0.85/1.16 (define @t376 () (= @t82 @t50)) % 0.85/1.16 (define @t377 () (tptp.c_List_Oappend @t125 @t372 @t3)) % 0.85/1.16 (define @t378 () (tptp.c_List_Oreplicate @t107 @t30 @t3)) % 0.85/1.16 (define @t379 () (tptp.c_Lambda_Oliftn @t17 @t137 @t26)) % 0.85/1.16 (define @t380 () (@var "V_xb" $$unsorted)) % 0.85/1.16 (define @t381 () (not (= @t326 @t327))) % 0.85/1.16 (define @t382 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t335)) % 0.85/1.16 (define @t383 () (tptp.hBOOL (tptp.hAPP @t335 @t298))) % 0.85/1.16 (define @t384 () (@var "V_Q" $$unsorted)) % 0.85/1.16 (define @t385 () (@var "V_R" $$unsorted)) % 0.85/1.16 (define @t386 () (@var "T_c" $$unsorted)) % 0.85/1.16 (define @t387 () (tptp.c_HOL_Oord__class_Oless @t31 @t30 @t3)) % 0.85/1.16 (define @t388 () (not @t387)) % 0.85/1.16 (define @t389 () (not (tptp.class_Orderings_Oorder @t3))) % 0.85/1.16 (define @t390 () (tptp.c_HOL_Oord__class_Oless @t30 @t31 @t3)) % 0.85/1.16 (define @t391 () (not @t390)) % 0.85/1.16 (define @t392 () (not (tptp.class_Orderings_Opreorder @t3))) % 0.85/1.16 (define @t393 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t300 @t356) @t298)))) % 0.85/1.16 (define @t394 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t298 @t299 @t137)) % 0.85/1.16 (define @t395 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t298 @t299 @t137)) % 0.85/1.16 (define @t396 () (tptp.c_HOL_Oord__class_Oless @t26 @t107 tptp.tc_nat)) % 0.85/1.16 (define @t397 () (= @t107 @t26)) % 0.85/1.16 (define @t398 () (@list @t107 @t271 @t26)) % 0.85/1.16 (define @t399 () (@var "V_A" $$unsorted)) % 0.85/1.16 (define @t400 () (tptp.c_List_Olistsp @t399 @t98 @t3)) % 0.85/1.16 (define @t401 () (not @t400)) % 0.85/1.16 (define @t402 () (tptp.c_List_Olistsp @t399 @t50 @t3)) % 0.85/1.16 (define @t403 () (tptp.c_List_Olistsp @t399 @t82 @t3)) % 0.85/1.16 (define @t404 () (@var "V_dB" $$unsorted)) % 0.85/1.16 (define @t405 () (@var "V_f3" $$unsorted)) % 0.85/1.16 (define @t406 () (tptp.hAPP @t405 @t404)) % 0.85/1.16 (define @t407 () (tptp.c_Lambda_OdB_OAbs @t404)) % 0.85/1.16 (define @t408 () (@list @t334 @t336 @t405 @t404 @t3)) % 0.85/1.16 (define @t409 () (= @t82 @t36)) % 0.85/1.16 (define @t410 () (@list @t50 @t82 @t3 @t36)) % 0.85/1.16 (define @t411 () (tptp.c_List_Oappend @t71 @t82 @t3)) % 0.85/1.16 (define @t412 () (tptp.c_List_Omap (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC tptp.c_Lambda_Osubst tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) @t191) tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t107) @t312 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t413 () (tptp.hAPP (tptp.hAPP @t282 @t191) @t107)) % 0.85/1.16 (define @t414 () (= @t50 @t352)) % 0.85/1.16 (define @t415 () (tptp.hAPP @t345 @t107)) % 0.85/1.16 (define @t416 () (@list @t137 @t107)) % 0.85/1.16 (define @t417 () (not (= @t71 @t98))) % 0.85/1.16 (define @t418 () (@list @t3 @t50 @t82)) % 0.85/1.16 (define @t419 () (@var "V_dB_H" $$unsorted)) % 0.85/1.16 (define @t420 () (tptp.c_Lambda_OdB_OAbs @t419)) % 0.85/1.16 (define @t421 () (not (= @t98 @t71))) % 0.85/1.16 (define @t422 () (not (tptp.c_HOL_Oord__class_Oless @t30 @t30 @t3))) % 0.85/1.16 (define @t423 () (not (tptp.class_Orderings_Olinorder @t3))) % 0.85/1.16 (define @t424 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t280) @t137)) % 0.85/1.16 (define @t425 () (@list @t3 @t31 @t30)) % 0.85/1.16 (define @t426 () (= @t293 @t324)) % 0.85/1.16 (define @t427 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t326 @t293 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t280 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (define @t428 () (@list @t66 @t293 @t271 @t324)) % 0.85/1.16 (define @t429 () (= @t66 @t271)) % 0.85/1.16 (define @t430 () (tptp.c_COMBC tptp.c_Lambda_Olift tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t431 () (tptp.c_List_Omap (tptp.hAPP @t430 @t107) @t312 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t432 () (not (tptp.c_HOL_Oord__class_Oless @t106 @t107 tptp.tc_nat))) % 0.85/1.16 (define @t433 () (tptp.c_Lambda_OdB_OVar @t106)) % 0.85/1.16 (define @t434 () (not (= @t154 @t332))) % 0.85/1.16 (define @t435 () (@list @t1 @t153 @t3 @t331 @t330)) % 0.85/1.16 (define @t436 () (not (= @t371 @t373))) % 0.85/1.16 (define @t437 () (@list @t50 @t30 @t3 @t82 @t31)) % 0.85/1.16 (define @t438 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t1 @t3))) % 0.85/1.16 (define @t439 () (tptp.c_Type_Oshift @t299 @t107 @t309 tptp.tc_Type_Otype)) % 0.85/1.16 (define @t440 () (@var "V_type2_H" $$unsorted)) % 0.85/1.16 (define @t441 () (@var "V_type1_H" $$unsorted)) % 0.85/1.16 (define @t442 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t441) @t440)) % 0.85/1.16 (define @t443 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t137)) % 0.85/1.16 (define @t444 () (tptp.hAPP @t443 @t191)) % 0.85/1.16 (define @t445 () (@list @t137 @t191 @t271 @t26)) % 0.85/1.16 (define @t446 () (tptp.c_Lambda_OdB_OVar @t62)) % 0.85/1.16 (define @t447 () (@var "V_dB2" $$unsorted)) % 0.85/1.16 (define @t448 () (@var "V_dB1" $$unsorted)) % 0.85/1.16 (define @t449 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t448) @t447)) % 0.85/1.16 (define @t450 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t342 @t312 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t451 () (tptp.hAPP @t300 @t450)) % 0.85/1.16 (define @t452 () (not (tptp.hBOOL (tptp.hAPP @t451 @t298)))) % 0.85/1.16 (define @t453 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t298 @t299 @t107 @t312)) % 0.85/1.16 (define @t454 () (@var "V_xd" $$unsorted)) % 0.85/1.16 (define @t455 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t294 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t456 () (tptp.c_Lambda_OdB_OVar @t16)) % 0.85/1.16 (define @t457 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t456 @t293 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t455))) % 0.85/1.16 (define @t458 () (@list @t16 @t293 @t17 @t324)) % 0.85/1.16 (define @t459 () (tptp.hAPP (tptp.hAPP @t336 @t448) @t447)) % 0.85/1.16 (define @t460 () (@var "V_Ts" $$unsorted)) % 0.85/1.16 (define @t461 () (not (tptp.c_Type_Otypings @t299 @t312 @t460))) % 0.85/1.16 (define @t462 () (@var "V_type1" $$unsorted)) % 0.85/1.16 (define @t463 () (@var "V_type2" $$unsorted)) % 0.85/1.16 (define @t464 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t462) @t463)) % 0.85/1.16 (define @t465 () (not (= @t464 @t442))) % 0.85/1.16 (define @t466 () (@list @t462 @t463 @t441 @t440)) % 0.85/1.16 (define @t467 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t300 @t316) @t298))) % 0.85/1.16 (define @t468 () (not @t467)) % 0.85/1.16 (define @t469 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t298 @t299 @t137 @t312)) % 0.85/1.16 (define @t470 () (@list @t299 @t312 @t298 @t137)) % 0.85/1.16 (define @t471 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t300 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t450 @t158 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t298)))) % 0.85/1.16 (define @t472 () (not (tptp.hBOOL (tptp.hAPP @t451 @t309)))) % 0.85/1.16 (define @t473 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t298 @t309 @t299 @t158)) % 0.85/1.16 (define @t474 () (@var "V_T2" $$unsorted)) % 0.85/1.16 (define @t475 () (@var "V_T1" $$unsorted)) % 0.85/1.16 (define @t476 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t475) @t474)) % 0.85/1.16 (define @t477 () (@var "V_T1a" $$unsorted)) % 0.85/1.16 (define @t478 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t298) @t309)) % 0.85/1.16 (define @t479 () (@var "V_env" $$unsorted)) % 0.85/1.16 (define @t480 () (tptp.c_Type_Otyping @t479)) % 0.85/1.16 (define @t481 () (@var "V_dB1_H" $$unsorted)) % 0.85/1.16 (define @t482 () (@var "V_dB2_H" $$unsorted)) % 0.85/1.16 (define @t483 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t481) @t482)) % 0.85/1.16 (define @t484 () (not (= @t449 @t483))) % 0.85/1.16 (define @t485 () (@list @t448 @t447 @t481 @t482)) % 0.85/1.16 (define @t486 () (not (= @t456 @t327))) % 0.85/1.16 (define @t487 () (@list @t16 @t271 @t324)) % 0.85/1.16 (define @t488 () (@list @t334 @t336 @t405 @t62 @t3)) % 0.85/1.16 (define @t489 () (@var "V_Ta" $$unsorted)) % 0.85/1.16 (define @t490 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t191)))) % 0.85/1.16 (define @t491 () (tptp.hAPP @t300 @t191)) % 0.85/1.16 (define @t492 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t413))) % 0.85/1.16 (define @t493 () (not (= tptp.v_T____ @t476))) % 0.85/1.16 (define @t494 () (@list @t475 @t474 @t137 @t191 @t107 @t299 @t489)) % 0.85/1.16 (define @t495 () (tptp.hAPP @t300 @t342)) % 0.85/1.16 (define @t496 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.85/1.16 (define @t497 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t496 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.85/1.16 (define @t498 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t298 @t299 @t137 @t312)) % 0.85/1.16 (define @t499 () (@list @t299 @t137 @t298 @t312)) % 0.85/1.16 (define @t500 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t496) tptp.v_a____)) % 0.85/1.16 (define @t501 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.85/1.16 (define @t502 () (tptp.c_Type_Otyping @t501)) % 0.85/1.16 (define @t503 () (tptp.hAPP @t502 @t500)) % 0.85/1.16 (define @t504 () (not (tptp.hBOOL (tptp.hAPP @t503 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t460 tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype))))) % 0.85/1.16 (define @t505 () (not (tptp.c_Type_Otypings @t501 tptp.v_as____ @t460))) % 0.85/1.16 (define @t506 () (or tptp.v_thesis____ @t505 @t504)) % 0.85/1.16 (define @t507 () (@list @t460)) % 0.85/1.16 (define @t508 () (forall @t507 @t506)) % 0.85/1.16 (define @t509 () (@list @t334 @t336 @t405 @t448 @t447 @t3)) % 0.85/1.16 (define @t510 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t300 @t444) @t298)))) % 0.85/1.16 (define @t511 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t298 @t299 @t137 @t191)) % 0.85/1.16 (define @t512 () (tptp.hAPP (tptp.hAPP @t336 @t462) @t463)) % 0.85/1.16 (define @t513 () (@list @t334 @t336 @t462 @t463 @t3)) % 0.85/1.16 (define @t514 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t191)) % 0.85/1.16 (define @t515 () (@var "V_e_H" $$unsorted)) % 0.85/1.16 (define @t516 () (tptp.c_Type_Otyping @t515)) % 0.85/1.16 (define @t517 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t502 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t500 tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) tptp.v_T_H____))) % 0.85/1.16 (define @t518 () (@var "T_1" $$unsorted)) % 0.85/1.16 (define @t519 () (@var "T_2" $$unsorted)) % 0.85/1.16 (define @t520 () (tptp.tc_fun @t519 @t518)) % 0.85/1.16 (define @t521 () (@list @t519 @t518)) % 0.85/1.16 (define @t522 () (@var "V_Y" $$unsorted)) % 0.85/1.16 (define @t523 () (@var "V_X" $$unsorted)) % 0.85/1.16 (define @t524 () (or @t505 @t504)) % 0.85/1.16 (define @t525 () (forall @t507 @t524)) % 0.85/1.16 (define @t526 () (or tptp.v_thesis____ @t524)) % 0.85/1.16 (define @t527 () (not @t517)) % 0.85/1.16 (define @t528 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 tptp.v_T_H____ @t501 @t500 tptp.v_as____)) % 0.85/1.16 (define @t529 () (tptp.hBOOL (tptp.hAPP @t503 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t528 tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)))) % 0.85/1.16 (define @t530 () (or @t529 @t527)) % 0.85/1.16 (define @t531 () (@list false false)) % 0.85/1.16 (define @t532 () (tptp.c_Type_Otypings @t501 tptp.v_as____ @t528)) % 0.85/1.16 (define @t533 () (or @t532 @t527)) % 0.85/1.16 (define @t534 () (not @t529)) % 0.85/1.16 (define @t535 () (not @t532)) % 0.85/1.16 (define @t536 () (or @t535 @t534)) % 0.85/1.16 (define @t537 () (not @t536)) % 0.85/1.16 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t9 (= @t8 @t6)))) % 0.85/1.16 (assume @p2 (forall @t15 (or @t14 (= @t13 @t12)))) % 0.85/1.16 (assume @p3 (forall @t23 (= @t22 @t20))) % 0.85/1.16 (assume @p4 (forall (@list @t16 @t25 @t26 @t17) (or (not (= (tptp.hAPP @t21 @t25) @t29)) @t27 @t24))) % 0.85/1.16 (assume @p5 (forall @t35 (or @t9 (= @t34 (tptp.hAPP @t32 @t30))))) % 0.85/1.16 (assume @p6 (forall (@list @t3 @t30 @t31 @t36) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t3)) (= (tptp.c_List_Ofoldl @t4 @t34 @t36 @t3 @t3) (tptp.hAPP @t33 (tptp.c_List_Ofoldl @t4 @t31 @t36 @t3 @t3)))))) % 0.85/1.16 (assume @p7 (forall @t38 (= (tptp.c_List_Orev @t37 @t3) @t37))) % 0.85/1.16 (assume @p8 (forall @t42 (or (not (tptp.class_Nat_Osemiring__char__0 @t3)) (not (= @t41 @t40)) @t39))) % 0.85/1.16 (assume @p9 (forall (@list @t3 @t30 @t1) (or @t46 @t45 (not (= @t30 (tptp.hAPP @t33 @t1))) @t44))) % 0.85/1.16 (assume @p10 (forall @t23 (or (not (= @t22 @t16)) @t48))) % 0.85/1.16 (assume @p11 (forall (@list @t30 @t1) (or (not (= @t30 (tptp.hAPP @t49 @t1))) (= @t1 @t47)))) % 0.85/1.16 (assume @p12 (forall (@list @t17 @t30 @t50 @t3) (= (tptp.c_List_Otake @t53 @t52 @t3) (tptp.c_List_Olist_OCons @t30 @t51 @t3)))) % 0.85/1.16 (assume @p13 (forall @t23 (or @t55 @t54))) % 0.85/1.16 (assume @p14 (forall @t23 (or @t55 @t48))) % 0.85/1.16 (assume @p15 (forall @t58 (or @t57 (not (= @t56 @t43)) @t44))) % 0.85/1.16 (assume @p16 (forall (@list @t30 @t31) (or (not (= @t60 (tptp.c_Suc @t31))) @t59))) % 0.85/1.16 (assume @p17 (forall @t65 (or (not (= (tptp.c_Suc @t62) @t64)) @t63))) % 0.85/1.16 (assume @p18 (forall @t70 (or @t69 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 @t30) @t31)))))) % 0.85/1.16 (assume @p19 (forall (@list @t66 @t3 @t50) (not (tptp.c_ListOrder_Ostep1 @t66 @t71 @t50 @t3)))) % 0.85/1.16 (assume @p20 (forall (@list @t66 @t50 @t3) (not (tptp.c_ListOrder_Ostep1 @t66 @t50 @t71 @t3)))) % 0.85/1.16 (assume @p21 (forall @t23 (or @t75 @t74 @t73))) % 0.85/1.16 (assume @p22 (forall @t23 (or @t75 @t54 @t48))) % 0.85/1.16 (assume @p23 (forall @t79 (or (= (tptp.c_List_Otake @t17 @t78 @t3) @t51) (not (tptp.c_HOL_Oord__class_Oless @t17 @t77 tptp.tc_nat))))) % 0.85/1.16 (assume @p24 (forall (@list @t84 @t50 @t80 @t3 @t82) (or (not (= @t86 @t85)) (= @t83 (tptp.c_Nat_Osize__class_Osize @t82 @t81))))) % 0.85/1.16 (assume @p25 (forall @t88 (= (tptp.c_Predicate_Oconversep @t87 @t3 @t3) @t87))) % 0.85/1.16 (assume @p26 (forall @t23 (or @t39 @t24 (not @t89)))) % 0.85/1.16 (assume @p27 (forall @t23 (or @t39 @t93 @t90))) % 0.85/1.16 (assume @p28 (forall @t94 (or (= @t17 @t16) @t93 @t90))) % 0.85/1.16 (assume @p29 (= @t72 @t95)) % 0.85/1.16 (assume @p30 (forall @t97 (= (tptp.c_Nat_Osize__class_Osize @t96 @t76) @t77))) % 0.85/1.16 (assume @p31 (forall @t99 (= (tptp.c_Nat_Osize__class_Osize @t98 @t76) (tptp.hAPP (tptp.hAPP @t18 @t77) (tptp.c_Nat_Osize__class_Osize @t82 @t76))))) % 0.85/1.16 (assume @p32 (forall @t104 (or @t103 @t102 @t101))) % 0.85/1.16 (assume @p33 (forall (@list @t17 @t30 @t3 @t26) (= (tptp.c_List_Oappend @t37 @t105 @t3) (tptp.c_List_Oappend @t105 @t37 @t3)))) % 0.85/1.16 (assume @p34 (forall (@list @t107 @t16 @t106) (or (tptp.c_HOL_Oord__class_Oless @t107 (tptp.hAPP @t21 @t106) tptp.tc_nat) @t108))) % 0.85/1.16 (assume @p35 (forall (@list @t107 @t106 @t16) (or (tptp.c_HOL_Oord__class_Oless @t107 (tptp.hAPP @t109 @t16) tptp.tc_nat) @t108))) % 0.85/1.16 (assume @p36 (forall @t113 (or @t112 (not (tptp.c_HOL_Oord__class_Oless @t111 @t26 tptp.tc_nat))))) % 0.85/1.16 (assume @p37 (forall @t118 (or @t117 (not (tptp.c_HOL_Oord__class_Oless @t30 @t114 tptp.tc_nat))))) % 0.85/1.16 (assume @p38 (forall @t118 (or @t117 (not @t119)))) % 0.85/1.16 (assume @p39 (forall (@list @t84 @t17 @t30 @t80 @t3) (= (tptp.c_List_Omap @t84 (tptp.c_List_Oreplicate @t17 @t30 @t80) @t80 @t3) (tptp.c_List_Oreplicate @t17 @t120 @t3)))) % 0.85/1.16 (assume @p40 (forall @t121 (= (tptp.c_Nat_Osize__class_Osize @t86 @t76) @t83))) % 0.85/1.16 (assume @p41 (forall @t122 (= @t50 (tptp.c_List_Otake @t77 @t98 @t3)))) % 0.85/1.16 (assume @p42 (forall @t97 (= @t124 @t50))) % 0.85/1.16 (assume @p43 (forall @t126 (= (tptp.c_List_Orev @t125 @t3) @t82))) % 0.85/1.16 (assume @p44 (forall @t97 (= @t50 @t124))) % 0.85/1.16 (assume @p45 (forall (@list @t16 @t30) (tptp.c_HOL_Oord__class_Oless @t16 (tptp.c_Suc (tptp.hAPP @t21 @t30)) tptp.tc_nat))) % 0.85/1.16 (assume @p46 (forall @t127 (tptp.c_HOL_Oord__class_Oless @t107 (tptp.c_Suc (tptp.hAPP @t21 @t107)) tptp.tc_nat))) % 0.85/1.16 (assume @p47 (forall @t127 (tptp.c_HOL_Oord__class_Oless @t107 (tptp.c_Suc (tptp.hAPP @t110 @t16)) tptp.tc_nat))) % 0.85/1.16 (assume @p48 (forall @t97 (or (not (= @t96 @t71)) @t128))) % 0.85/1.16 (assume @p49 (forall @t129 (not (= @t47 @t91)))) % 0.85/1.16 (assume @p50 (forall @t130 (not (= @t47 @t64)))) % 0.85/1.16 (assume @p51 (forall @t23 (= @t132 @t131))) % 0.85/1.16 (assume @p52 (forall @t23 (= @t133 @t131))) % 0.85/1.16 (assume @p53 (forall (@list @t17 @t3) (= (tptp.c_List_Otake @t17 @t71 @t3) @t71))) % 0.85/1.16 (assume @p54 (forall @t136 (or @t135 (not (tptp.c_Wellfounded_Oaccp @t134 @t66 tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p55 (forall (@list @t137) (or (tptp.c_Wellfounded_Oaccp @t134 @t137 tptp.tc_Lambda_OdB) @t138))) % 0.85/1.16 (assume @p56 (forall (@list @t66 @t3 @t30 @t114 @t31) (or (tptp.hBOOL (tptp.hAPP @t68 @t114)) (not (tptp.hBOOL (tptp.hAPP @t139 @t114))) (not @t69)))) % 0.85/1.16 (assume @p57 (forall @t145 (or @t144 @t143 @t141))) % 0.85/1.16 (assume @p58 (forall @t145 (or @t144 @t141 @t143))) % 0.85/1.16 (assume @p59 (forall (@list @t66 @t3 @t30) (tptp.hBOOL (tptp.hAPP @t68 @t30)))) % 0.85/1.16 (assume @p60 (forall (@list @t66 @t3 @t1) (tptp.hBOOL (tptp.hAPP @t146 @t1)))) % 0.85/1.16 (assume @p61 (forall @t149 (or @t148 @t39))) % 0.85/1.16 (assume @p62 (forall @t121 (= (tptp.c_List_Orev @t86 @t3) (tptp.c_List_Omap @t84 @t150 @t80 @t3)))) % 0.85/1.16 (assume @p63 (forall (@list @t66 @t31 @t151 @t30 @t3) (or (not (tptp.hBOOL (tptp.hAPP @t152 @t151))) (tptp.c_ListOrder_Ostep1 @t66 (tptp.c_List_Olist_OCons @t31 @t30 @t3) (tptp.c_List_Olist_OCons @t151 @t30 @t3) @t3)))) % 0.85/1.16 (assume @p64 (forall (@list @t30 @t31 @t50 @t82 @t66 @t3) (or @t59 @t102 @t101))) % 0.85/1.16 (assume @p65 (forall (@list @t1 @t153 @t3) (= (tptp.c_Nat_Osize__class_Osize @t154 @t76) (tptp.hAPP (tptp.hAPP @t18 (tptp.c_Nat_Osize__class_Osize @t153 @t76)) @t72)))) % 0.85/1.16 (assume @p66 (= @t95 @t72)) % 0.85/1.16 (assume @p67 (forall @t88 (= (tptp.c_List_Orotate1 @t71 @t3) @t71))) % 0.85/1.16 (assume @p68 (forall (@list @t151 @t3 @t30) (= @t157 @t156))) % 0.85/1.16 (assume @p69 (forall (@list @t66 @t30 @t159 @t3 @t158) (or (tptp.c_ListOrder_Ostep1 @t66 (tptp.c_List_Oappend @t30 @t159 @t3) (tptp.c_List_Oappend @t30 @t158 @t3) @t3) (not (tptp.c_ListOrder_Ostep1 @t66 @t159 @t158 @t3))))) % 0.85/1.16 (assume @p70 (forall (@list @t66 @t82 @t50 @t3 @t30) (or @t161 (tptp.c_ListOrder_Ostep1 @t66 (tptp.c_List_Oappend @t82 @t30 @t3) @t160 @t3)))) % 0.85/1.16 (assume @p71 (forall @t162 (= @t156 @t157))) % 0.85/1.16 (assume @p72 (forall @t88 (or @t57 (= (tptp.hAPP @t163 @t43) @t43)))) % 0.85/1.16 (assume @p73 (= (tptp.hAPP @t164 @t47) @t47)) % 0.85/1.16 (assume @p74 (forall (@list @t17 @t84 @t50 @t80 @t3) (= (tptp.c_List_Otake @t17 @t86 @t3) (tptp.c_List_Omap @t84 (tptp.c_List_Otake @t17 @t50 @t80) @t80 @t3)))) % 0.85/1.16 (assume @p75 (forall @t166 (or @t9 (= @t165 (tptp.hAPP (tptp.hAPP @t4 @t34) @t114))))) % 0.85/1.16 (assume @p76 (forall @t166 (or @t168 (= @t165 (tptp.hAPP @t32 @t167))))) % 0.85/1.16 (assume @p77 (forall @t118 (= (tptp.hAPP @t49 @t116) (tptp.hAPP @t115 @t169)))) % 0.85/1.16 (assume @p78 (forall @t171 (= (tptp.hAPP (tptp.hAPP @t18 @t22) @t26) (tptp.hAPP @t21 @t170)))) % 0.85/1.16 (assume @p79 (forall @t177 (or @t14 @t176))) % 0.85/1.16 (assume @p80 (forall @t177 (or @t14 (= @t173 (tptp.hAPP @t11 @t8))))) % 0.85/1.16 (assume @p81 (forall @t177 (or @t178 @t176))) % 0.85/1.16 (assume @p82 (forall @t183 (or @t9 (= @t182 (tptp.hAPP @t180 @t179))))) % 0.85/1.16 (assume @p83 (forall @t177 (or @t9 (= @t175 (tptp.hAPP @t180 @t10))))) % 0.85/1.16 (assume @p84 (forall @t183 (or @t9 (= @t182 (tptp.hAPP @t5 (tptp.hAPP @t7 @t179)))))) % 0.85/1.16 (assume @p85 (forall @t177 (or @t9 @t176))) % 0.85/1.16 (assume @p86 (forall (@list @t66 @t3 @t80 @t10 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t10) @t1)) @t184))) % 0.85/1.16 (assume @p87 (forall (@list @t66 @t186 @t187 @t3 @t80) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t66 @t186) @t187)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t187) @t186)))))) % 0.85/1.16 (assume @p88 (forall (@list @t66 @t3 @t80 @t1 @t10) (or @t190 (not @t189)))) % 0.85/1.16 (assume @p89 (forall (@list @t66 @t10 @t1 @t3 @t80) (or @t189 (not @t190)))) % 0.85/1.16 (assume @p90 (forall @t38 (= (tptp.c_List_Oreplicate @t53 @t30 @t3) (tptp.c_List_Olist_OCons @t30 @t37 @t3)))) % 0.85/1.16 (assume @p91 (forall (@list @t3 @t30 @t31 @t114 @t191) (or @t168 (not (= @t165 (tptp.hAPP @t32 @t191))) (= @t167 @t191)))) % 0.85/1.16 (assume @p92 (= @t72 @t192)) % 0.85/1.16 (assume @p93 (forall @t23 (or @t75 @t74 @t48))) % 0.85/1.16 (assume @p94 (forall @t23 (or @t75 @t54 @t73))) % 0.85/1.16 (assume @p95 (forall @t23 (= @t132 @t133))) % 0.85/1.16 (assume @p96 (forall (@list @t66 @t3 @t31 @t30) (or @t194 (not @t193)))) % 0.85/1.16 (assume @p97 (forall @t70 (or @t193 (not @t194)))) % 0.85/1.16 (assume @p98 (forall @t23 (or @t196 (= @t91 @t17) @t195))) % 0.85/1.16 (assume @p99 (forall @t118 (or (not (= (tptp.hAPP @t49 @t31) @t169)) @t197))) % 0.85/1.16 (assume @p100 (forall (@list @t16 @t26 @t17) (or (not (= (tptp.hAPP @t21 @t26) @t170)) @t39))) % 0.85/1.16 (assume @p101 (forall @t199 (or (not (= @t198 @t29)) @t39))) % 0.85/1.16 (assume @p102 (forall @t166 (or @t46 @t45 (not (= @t34 @t167)) @t197))) % 0.85/1.16 (assume @p103 (forall @t177 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t3)) @t201 @t200))) % 0.85/1.16 (assume @p104 (forall @t177 (or @t202 @t201 @t200))) % 0.85/1.16 (assume @p105 (forall @t203 (or @t202 (not (= @t12 @t6)) @t200))) % 0.85/1.16 (assume @p106 (forall (@list @t30 @t31 @t66 @t82 @t3 @t50) (or @t59 @t204 @t101))) % 0.85/1.16 (assume @p107 (forall @t23 (or @t205 @t74 @t48))) % 0.85/1.16 (assume @p108 (forall @t23 (or @t205 @t54 @t73))) % 0.85/1.16 (assume @p109 (forall @t38 (or (= (tptp.c_List_Olast @t37 @t3) @t30) @t48))) % 0.85/1.16 (assume @p110 (forall (@list @t3 @t1 @t10 @t2 @t179) (or @t9 (= (tptp.hAPP @t174 @t181) (tptp.hAPP @t180 @t206))))) % 0.85/1.16 (assume @p111 (forall (@list @t30 @t3 @t31) (= @t207 (tptp.c_List_Oreplicate @t47 @t31 @t3)))) % 0.85/1.16 (assume @p112 (forall @t97 (or (not (= @t123 @t71)) @t128))) % 0.85/1.16 (assume @p113 (forall @t210 (or @t209 @t208))) % 0.85/1.16 (assume @p114 (forall @t23 (or @t195 @t93))) % 0.85/1.16 (assume @p115 (forall @t94 (or @t92 @t24))) % 0.85/1.16 (assume @p116 (forall @t149 (or @t148 @t59 @t54))) % 0.85/1.16 (assume @p117 (forall (@list @t66 @t3) (= (tptp.c_Transitive__Closure_Ortranclp @t67 @t3) @t67))) % 0.85/1.16 (assume @p118 (forall @t211 (or @t9 (= (tptp.hAPP @t163 @t30) @t30)))) % 0.85/1.16 (assume @p119 (forall @t58 (or @t14 @t212))) % 0.85/1.16 (assume @p120 (forall @t210 (= @t30 (tptp.hAPP @t49 @t47)))) % 0.85/1.16 (assume @p121 (forall @t213 (= (tptp.hAPP @t164 @t17) @t17))) % 0.85/1.16 (assume @p122 (forall @t129 (= (tptp.hAPP @t21 @t47) @t16))) % 0.85/1.16 (assume @p123 (forall @t211 (or @t46 @t45 (= @t30 (tptp.hAPP @t33 @t43))))) % 0.85/1.16 (assume @p124 (forall @t58 (or @t14 @t214))) % 0.85/1.16 (assume @p125 (forall @t58 (or @t215 @t212))) % 0.85/1.16 (assume @p126 (forall @t58 (or @t215 @t214))) % 0.85/1.16 (assume @p127 (forall @t58 (or @t9 @t214))) % 0.85/1.16 (assume @p128 (forall @t58 (or @t9 @t212))) % 0.85/1.16 (assume @p129 (forall @t88 (= @t216 @t71))) % 0.85/1.16 (assume @p130 (forall @t99 (= (tptp.c_List_Orev @t98 @t3) (tptp.c_List_Oappend @t125 @t123 @t3)))) % 0.85/1.16 (assume @p131 (forall (@list @t30 @t17) (or (tptp.c_HOL_Oord__class_Oless @t60 @t53 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t30 @t17 tptp.tc_nat))))) % 0.85/1.16 (assume @p132 (forall @t23 (or @t24 (not @t217)))) % 0.85/1.16 (assume @p133 (forall @t23 (or @t217 @t195))) % 0.85/1.16 (assume @p134 (forall (@list @t3 @t1 @t2 @t10 @t179) (or @t220 (tptp.c_HOL_Oord__class_Oless @t8 @t206 @t3) (not (tptp.c_HOL_Oord__class_Oless @t2 @t179 @t3)) @t219))) % 0.85/1.16 (assume @p135 (forall (@list @t107 @t26 @t106 @t25) (or (tptp.c_HOL_Oord__class_Oless @t221 (tptp.hAPP @t109 @t25) tptp.tc_nat) @t27 @t108))) % 0.85/1.16 (assume @p136 (forall @t130 (not (= @t64 @t47)))) % 0.85/1.16 (assume @p137 (forall @t129 (not (= @t91 @t47)))) % 0.85/1.16 (assume @p138 (forall @t213 (tptp.c_HOL_Oord__class_Oless @t17 @t53 tptp.tc_nat))) % 0.85/1.16 (assume @p139 (forall @t210 @t208)) % 0.85/1.16 (assume @p140 (forall @t113 (or (tptp.c_HOL_Oord__class_Oless @t222 @t26 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t106 @t26 tptp.tc_nat)) @t108))) % 0.85/1.16 (assume @p141 (forall (@list @t17 @t16 @t30 @t3) (= (tptp.c_List_Oreplicate @t20 @t30 @t3) (tptp.c_List_Oappend @t37 @t147 @t3)))) % 0.85/1.16 (assume @p142 (forall @t122 (or (not (= @t123 @t125)) @t102))) % 0.85/1.16 (assume @p143 (forall @t38 (= (tptp.c_Nat_Osize__class_Osize @t37 @t76) @t17))) % 0.85/1.16 (assume @p144 (forall @t223 (or (not (= @t71 @t123)) @t128))) % 0.85/1.16 (assume @p145 (forall (@list @t66 @t3 @t80) (= (tptp.c_Predicate_Oconversep @t185 @t80 @t3) @t66))) % 0.85/1.16 (assume @p146 (forall (@list @t107 @t106) (not (tptp.c_HOL_Oord__class_Oless @t111 @t107 tptp.tc_nat)))) % 0.85/1.16 (assume @p147 (forall (@list @t106 @t107) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t109 @t107) @t107 tptp.tc_nat)))) % 0.85/1.16 (assume @p148 (forall @t213 (not (= @t53 @t17)))) % 0.85/1.16 (assume @p149 (forall @t213 (not (= @t17 @t53)))) % 0.85/1.16 (assume @p150 (forall @t225 (or @t220 @t224 @t219))) % 0.85/1.16 (assume @p151 (forall @t225 (or @t226 @t224 @t219))) % 0.85/1.16 (assume @p152 (forall @t177 (or @t226 @t218 (not @t224)))) % 0.85/1.16 (assume @p153 (forall @t228 (or @t220 @t227 @t219))) % 0.85/1.16 (assume @p154 (forall @t228 (or @t226 @t227 @t219))) % 0.85/1.16 (assume @p155 (forall @t177 (or @t226 @t218 (not @t227)))) % 0.85/1.16 (assume @p156 (forall @t113 (or (tptp.c_HOL_Oord__class_Oless @t221 (tptp.hAPP @t109 @t26) tptp.tc_nat) @t108))) % 0.85/1.16 (assume @p157 (forall @t171 (or @t24 (not @t229)))) % 0.85/1.16 (assume @p158 (forall @t199 (or @t229 @t195))) % 0.85/1.16 (assume @p159 (forall @t104 (or @t103 @t204 @t101))) % 0.85/1.16 (assume @p160 (forall (@list @t66 @t30 @t82 @t3 @t50) (or (tptp.c_ListOrder_Ostep1 @t66 (tptp.c_List_Olist_OCons @t30 @t82 @t3) @t52 @t3) @t161))) % 0.85/1.16 (assume @p161 (forall @t88 (= (tptp.c_List_Obutlast @t71 @t3) @t71))) % 0.85/1.16 (assume @p162 (= @t192 @t72)) % 0.85/1.16 (assume @p163 (forall @t88 (= @t71 @t216))) % 0.85/1.16 (assume @p164 (forall @t23 (or @t24 (not @t196)))) % 0.85/1.16 (assume @p165 (forall @t23 (or @t89 @t195))) % 0.85/1.16 (assume @p166 (forall @t97 (= (tptp.c_Nat_Osize__class_Osize @t123 @t76) @t77))) % 0.85/1.16 (assume @p167 (forall @t42 (or @t230 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t22 @t3) (tptp.hAPP (tptp.hAPP @t4 @t41) @t40))))) % 0.85/1.16 (assume @p168 (forall @t23 (or @t205 @t74 @t73))) % 0.85/1.16 (assume @p169 (forall @t23 (or @t205 @t54 @t48))) % 0.85/1.16 (assume @p170 (forall @t232 (or @t231 (not (tptp.hBOOL (tptp.hAPP @t140 @t2))) @t184))) % 0.85/1.16 (assume @p171 (forall @t232 (or @t231 (not (tptp.hBOOL (tptp.hAPP @t188 @t2))) (not (tptp.hBOOL (tptp.hAPP @t146 @t10)))))) % 0.85/1.16 (assume @p172 (forall (@list @t66 @t31 @t3 @t1) (or (tptp.c_Wellfounded_Oaccp @t66 @t31 @t3) (not (tptp.hBOOL (tptp.hAPP @t152 @t1))) @t143))) % 0.85/1.16 (assume @p173 (forall (@list @t66 @t1 @t3 @t10) (or @t142 @t184 (not @t144)))) % 0.85/1.16 (assume @p174 (forall @t97 (or (= (tptp.c_List_Oappend @t78 (tptp.c_List_Olist_OCons @t233 @t71 @t3) @t3) @t50) @t128))) % 0.85/1.16 (assume @p175 (forall @t58 (or @t57 @t236 @t235))) % 0.85/1.16 (assume @p176 (forall @t58 (or @t57 @t234 (not @t236)))) % 0.85/1.16 (assume @p177 (forall (@list @t3 @t16) (or @t237 (not (tptp.c_HOL_Oord__class_Oless @t41 @t43 @t3))))) % 0.85/1.16 (assume @p178 (forall @t15 (or @t240 (tptp.c_HOL_Oord__class_Oless @t13 @t43 @t3) (not (tptp.c_HOL_Oord__class_Oless @t10 @t43 @t3)) @t239))) % 0.85/1.16 (assume @p179 (forall @t58 (or @t57 @t241 @t239))) % 0.85/1.16 (assume @p180 (forall @t58 (or @t57 @t238 @t242))) % 0.85/1.16 (assume @p181 (forall @t58 (or @t243 @t238 @t242))) % 0.85/1.16 (assume @p182 (forall @t58 (or @t243 @t241 @t239))) % 0.85/1.16 (assume @p183 (forall @t15 (or @t240 (tptp.c_HOL_Oord__class_Oless @t43 @t13 @t3) (not (tptp.c_HOL_Oord__class_Oless @t43 @t10 @t3)) @t235))) % 0.85/1.16 (assume @p184 (forall @t203 (or @t237 (tptp.c_HOL_Oord__class_Oless @t10 @t8 @t3) (not (tptp.c_HOL_Oord__class_Oless @t10 @t2 @t3)) @t235))) % 0.85/1.16 (assume @p185 (forall @t88 (or @t230 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t47 @t3) @t43)))) % 0.85/1.16 (assume @p186 (forall @t42 (or @t237 @t244 @t195))) % 0.85/1.16 (assume @p187 (forall @t42 (or @t237 @t24 (not @t244)))) % 0.85/1.16 (assume @p188 (forall @t23 (or @t246 (not @t245)))) % 0.85/1.16 (assume @p189 (forall @t23 (or @t246 @t248))) % 0.85/1.16 (assume @p190 (forall @t210 (tptp.c_HOL_Oord__class_Oless @t47 @t60 tptp.tc_nat))) % 0.85/1.16 (assume @p191 (forall @t213 (tptp.c_HOL_Oord__class_Oless @t47 @t53 tptp.tc_nat))) % 0.85/1.16 (assume @p192 (forall @t94 (or @t247 @t245 (not @t246)))) % 0.85/1.16 (assume @p193 (forall @t213 (or @t48 (not (tptp.c_HOL_Oord__class_Oless @t17 @t72 tptp.tc_nat))))) % 0.85/1.16 (assume @p194 (tptp.c_HOL_Oord__class_Oless @t47 @t72 tptp.tc_nat)) % 0.85/1.16 (assume @p195 (forall @t249 (= @t207 @t71))) % 0.85/1.16 (assume @p196 (forall @t79 (or (not (= @t51 @t71)) @t128 @t48))) % 0.85/1.16 (assume @p197 (forall @t88 (= @t250 @t47))) % 0.85/1.16 (assume @p198 (forall @t211 (= @t71 @t207))) % 0.85/1.16 (assume @p199 (forall @t97 (= (tptp.c_List_Otake @t47 @t50 @t3) @t71))) % 0.85/1.16 (assume @p200 (forall @t38 (or (not (= @t37 @t71)) @t48))) % 0.85/1.16 (assume @p201 (forall (@list @t3 @t17 @t30) (or (not (= @t71 @t37)) @t48))) % 0.85/1.16 (assume @p202 (forall @t97 (or (not (= @t77 @t47)) @t128))) % 0.85/1.16 (assume @p203 (forall @t249 (= @t251 @t252))) % 0.85/1.16 (assume @p204 (forall @t253 (or (= (tptp.c_List_Olast @t52 @t3) @t233) @t128))) % 0.85/1.16 (assume @p205 (forall @t249 (= @t252 @t251))) % 0.85/1.16 (assume @p206 (forall (@list @t30 @t3 @t50) (or (not (= @t251 @t123)) @t254))) % 0.85/1.16 (assume @p207 (forall (@list @t50 @t3 @t30) (or (not (= @t123 @t251)) @t254))) % 0.85/1.16 (assume @p208 (forall @t249 (= (tptp.c_List_Obutlast @t251 @t3) @t71))) % 0.85/1.16 (assume @p209 (forall @t249 (= (tptp.c_List_Olast @t251 @t3) @t30))) % 0.85/1.16 (assume @p210 (forall @t253 (or (= (tptp.c_List_Obutlast @t52 @t3) (tptp.c_List_Olist_OCons @t30 @t78 @t3)) @t128))) % 0.85/1.16 (assume @p211 (forall (@list @t3 @t30 @t36) (or @t215 (= (tptp.hAPP @t33 (tptp.c_List_Ofoldl @t4 @t43 @t36 @t3 @t3)) (tptp.c_List_Ofoldl @t4 @t30 @t36 @t3 @t3))))) % 0.85/1.16 (assume @p212 (forall @t260 (or @t259 @t257 @t255))) % 0.85/1.16 (assume @p213 (forall @t265 (or @t264 @t263 @t261))) % 0.85/1.16 (assume @p214 (forall @t260 (or @t259 @t266 @t255))) % 0.85/1.16 (assume @p215 (forall @t265 (or @t264 @t267 @t261))) % 0.85/1.16 (assume @p216 (forall (@list @t17 @t30 @t3 @t50) (= (tptp.c_List_Oappend @t37 @t52 @t3) (tptp.c_List_Olist_OCons @t30 (tptp.c_List_Oappend @t37 @t50 @t3) @t3)))) % 0.85/1.16 (assume @p217 (forall @t97 (= (tptp.c_List_Obutlast @t268 @t3) @t78))) % 0.85/1.16 (assume @p218 (forall @t99 (or (= (tptp.c_List_Olast @t98 @t3) (tptp.c_List_Olast @t82 @t3)) @t269))) % 0.85/1.16 (assume @p219 (forall @t97 (= (tptp.c_List_Olast @t268 @t3) @t233))) % 0.85/1.16 (assume @p220 (forall @t99 (or (= (tptp.c_List_Obutlast @t98 @t3) (tptp.c_List_Oappend @t50 (tptp.c_List_Obutlast @t82 @t3) @t3)) @t269))) % 0.85/1.16 (assume @p221 (forall (@list @t271 @t137 @t270 @t274) (or (tptp.hBOOL (tptp.hAPP @t279 (tptp.hAPP @t276 @t274))) @t275 @t273))) % 0.85/1.16 (assume @p222 (forall (@list @t271 @t137 @t270) (or (tptp.hBOOL (tptp.hAPP @t279 (tptp.hAPP @t276 @t137))) @t273))) % 0.85/1.16 (assume @p223 (forall (@list @t271 @t137 @t274) (or (tptp.hBOOL (tptp.hAPP @t279 (tptp.hAPP @t277 @t274))) @t275))) % 0.85/1.16 (assume @p224 (forall (@list @t271 @t270) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t272 @t280) (tptp.c_Lambda_OdB_OAbs @t270))) @t273))) % 0.85/1.16 (assume @p225 (forall @t285 (or @t284 @t281))) % 0.85/1.16 (assume @p226 (forall @t291 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t272 @t290) @t288)) @t286))) % 0.85/1.16 (assume @p227 (forall @t285 (or @t284 @t286))) % 0.85/1.16 (assume @p228 (forall (@list @t293 @t17 @t292) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t293 @t297 tptp.tc_Lambda_OdB) @t296))) % 0.85/1.16 (assume @p229 (forall @t304 (or @t303 @t302 @t275))) % 0.85/1.16 (assume @p230 (forall @t308 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t272 @t307) @t306)) @t286))) % 0.85/1.16 (assume @p231 (forall (@list @t299 @t107 @t309 @t3 @t298) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t299 @t107 @t309 @t3) @t47 @t298 @t3) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t299 @t47 @t298 @t3) @t222 @t309 @t3)))) % 0.85/1.16 (assume @p232 (forall (@list @t3 @t50 @t1) (or @t178 (= (tptp.c_List_Ofoldr @t4 @t50 @t1 @t3 @t3) @t310)))) % 0.85/1.16 (assume @p233 (forall @t319 (or @t318 (= @t312 (tptp.c_List_Oappend @t315 @t314 tptp.tc_Lambda_OdB)) @t313))) % 0.85/1.16 (assume @p234 (forall (@list @t84 @t30 @t50 @t80 @t3) (= (tptp.c_List_Omap @t84 @t320 @t80 @t3) (tptp.c_List_Olist_OCons @t120 @t86 @t3)))) % 0.85/1.16 (assume @p235 (forall (@list @t30 @t151 @t36 @t3) (= @t322 @t321))) % 0.85/1.16 (assume @p236 (forall (@list @t30 @t323 @t36 @t3) (= (tptp.c_List_Olist_OCons @t30 (tptp.c_List_Oappend @t323 @t36 @t3) @t3) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t30 @t323 @t3) @t36 @t3)))) % 0.85/1.16 (assume @p237 (forall @t329 (or @t328 @t325))) % 0.85/1.16 (assume @p238 (forall @t162 (not (= @t155 @t71)))) % 0.85/1.16 (assume @p239 (forall (@list @t331 @t330 @t3) (not (= @t332 @t71)))) % 0.85/1.16 (assume @p240 (forall (@list @t335 @t334 @t336 @t333) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Type_Otype_Otype__case @t334 @t336 (tptp.c_Type_Otype_OAtom @t333) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t335 (tptp.hAPP @t334 @t333)))))) % 0.85/1.16 (assume @p241 (forall (@list @t335 @t334 @t336 @t62) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Type_Otype_Otype__case @t334 @t336 @t339 tptp.t_a)))) @t338))) % 0.85/1.16 (assume @p242 (forall @t136 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t326)) @t340))) % 0.85/1.16 (assume @p243 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.85/1.16 (assume @p244 (forall @t344 (or (= @t343 @t342) @t341))) % 0.85/1.16 (assume @p245 (forall (@list @t137 @t26 @t271) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t346) @t271) @t26) @t137))) % 0.85/1.16 (assume @p246 (forall @t136 (= @t347 @t326))) % 0.85/1.16 (assume @p247 (forall (@list @t107 @t26) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t342) @t26) @t342) @t341))) % 0.85/1.16 (assume @p248 (forall @t308 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t307) @t306)) @t281))) % 0.85/1.16 (assume @p249 (forall (@list @t30 @t137 @t3) (not (= (tptp.c_List_Olist_OCons @t30 @t137 @t3) @t137)))) % 0.85/1.16 (assume @p250 (forall @t348 (not (= @t50 @t52)))) % 0.85/1.16 (assume @p251 (forall @t350 (or @t209 (= (tptp.c_Lambda_Osubstn @t349 @t271 @t30) (tptp.c_Lambda_Oliftn @t30 @t271 @t47))))) % 0.85/1.16 (assume @p252 (forall @t253 (= @t52 @t351))) % 0.85/1.16 (assume @p253 (forall (@list @t3 @t84 @t80) (= @t71 @t353))) % 0.85/1.16 (assume @p254 (forall @t88 (= @t71 @t354))) % 0.85/1.16 (assume @p255 (forall @t357 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t280) @t356)) @t355))) % 0.85/1.16 (assume @p256 (forall (@list @t84 @t1 @t50 @t82 @t80 @t3) (= (tptp.c_List_Ofoldl @t84 @t1 @t359 @t3 @t80) (tptp.c_List_Ofoldl @t84 @t358 @t82 @t3 @t80)))) % 0.85/1.16 (assume @p257 (forall @t360 (= (tptp.c_Type_Otype_Otype__case @t334 @t336 @t339 @t3) @t337))) % 0.85/1.16 (assume @p258 (forall (@list @t30 @t271 @t137) (or (= @t361 @t311) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t137 @t30 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t271) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t137 @t361 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p259 (forall (@list @t137 @t312 @t191) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t316) @t191) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t137 (tptp.c_List_Oappend @t312 (tptp.c_List_Olist_OCons @t191 @t311 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p260 (forall (@list @t66 @t271 @t151) (or (not (= @t66 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t317 @t151 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t317 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t317 (tptp.c_List_Oappend @t151 @t314 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p261 (forall (@list @t292 @t17 @t293) (or (= @t292 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t294 @t297 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t296))) % 0.85/1.16 (assume @p262 (forall @t363 (or @t237 @t247 (not @t362)))) % 0.85/1.16 (assume @p263 (forall @t363 (or @t237 @t362 @t248))) % 0.85/1.16 (assume @p264 (forall @t344 (or (= @t343 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t110 @t17))) @t112))) % 0.85/1.16 (assume @p265 (forall @t319 (or @t318 (= @t66 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t137 @t315 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t313))) % 0.85/1.16 (assume @p266 (forall (@list @t84 @t50 @t1 @t80 @t3) (= @t364 (tptp.c_List_Ofoldl (tptp.c_COMBC @t84 @t80 @t3 @t3) @t1 @t150 @t3 @t80)))) % 0.85/1.16 (assume @p267 (forall (@list @t84 @t1 @t50 @t3 @t80) (= @t358 (tptp.c_List_Ofoldr (tptp.c_COMBC @t84 @t3 @t80 @t3) @t150 @t1 @t80 @t3)))) % 0.85/1.16 (assume @p268 (forall @t223 (or @t215 (= (tptp.c_List_Ofoldl @t4 @t43 @t50 @t3 @t3) @t365)))) % 0.85/1.16 (assume @p269 (forall (@list @t3 @t1 @t50) (or @t215 (= @t310 (tptp.hAPP @t7 @t365))))) % 0.85/1.16 (assume @p270 (forall @t367 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t272 @t366) @t327)) @t286))) % 0.85/1.16 (assume @p271 (forall (@list @t66 @t293 @t324) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t293 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t366)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t293 @t324 tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p272 (forall @t370 (or (not (tptp.c_Wellfounded_Oaccp @t134 @t369 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t134 @t271 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t134 @t368 tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p273 (forall @t265 (or @t264 @t267 @t269))) % 0.85/1.16 (assume @p274 (forall @t260 (or @t259 @t266 @t269))) % 0.85/1.16 (assume @p275 (forall @t348 (= (tptp.c_List_Olast @t371 @t3) @t30))) % 0.85/1.16 (assume @p276 (forall @t348 (= (tptp.c_List_Obutlast @t371 @t3) @t50))) % 0.85/1.16 (assume @p277 (forall (@list @t82 @t50 @t31 @t30 @t66 @t3) (or @t376 @t375 @t374))) % 0.85/1.16 (assume @p278 (forall (@list @t66 @t31 @t30 @t82 @t3 @t50) (or @t204 @t375 @t374))) % 0.85/1.16 (assume @p279 (forall @t260 (or @t259 @t257 @t269))) % 0.85/1.16 (assume @p280 (forall @t265 (or @t264 @t263 @t269))) % 0.85/1.16 (assume @p281 (forall @t253 (= (tptp.c_List_Orev @t52 @t3) (tptp.c_List_Oappend @t123 @t251 @t3)))) % 0.85/1.16 (assume @p282 (forall (@list @t66 @t31 @t30 @t82 @t50 @t3) (or @t204 @t103 @t374))) % 0.85/1.16 (assume @p283 (forall (@list @t50 @t3 @t31 @t82) (or (not (= @t123 @t100)) (= @t50 @t377)))) % 0.85/1.16 (assume @p284 (forall (@list @t82 @t3 @t31) (= (tptp.c_List_Orev @t377 @t3) @t100))) % 0.85/1.16 (assume @p285 (forall (@list @t30 @t50 @t80) (= (tptp.c_List_Orotate1 @t320 @t80) (tptp.c_List_Oappend @t50 (tptp.c_List_Olist_OCons @t30 @t352 @t80) @t80)))) % 0.85/1.16 (assume @p286 (forall (@list @t82 @t50 @t66 @t3 @t31 @t30) (or @t376 @t103 @t374))) % 0.85/1.16 (assume @p287 (forall (@list @t107 @t30 @t3) (= (tptp.c_List_Oappend @t378 @t251 @t3) (tptp.c_List_Olist_OCons @t30 @t378 @t3)))) % 0.85/1.16 (assume @p288 (forall @t97 (or (tptp.c_HOL_Oord__class_Oless @t47 @t77 tptp.tc_nat) @t128))) % 0.85/1.16 (assume @p289 (forall @t88 (not (tptp.c_HOL_Oord__class_Oless @t47 @t250 tptp.tc_nat)))) % 0.85/1.16 (assume @p290 (forall @t253 (= (tptp.c_List_Otake @t47 @t52 @t3) @t71))) % 0.85/1.16 (assume @p291 (forall (@list @t17 @t137 @t26) (= (tptp.c_Lambda_Oliftn @t53 @t137 @t26) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t379) @t26)))) % 0.85/1.16 (assume @p292 (forall (@list @t84 @t151 @t380 @t80 @t3) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t84 @t151) (tptp.c_List_Omap @t84 @t380 @t80 @t3) @t3) (tptp.c_List_Omap @t84 (tptp.c_List_Olist_OCons @t151 @t380 @t80) @t80 @t3)))) % 0.85/1.16 (assume @p293 (forall (@list @t84 @t30 @t151 @t80 @t3) (= (tptp.c_List_Omap @t84 (tptp.c_List_Olist_OCons @t30 @t151 @t80) @t80 @t3) (tptp.c_List_Olist_OCons @t120 (tptp.c_List_Omap @t84 @t151 @t80 @t3) @t3)))) % 0.85/1.16 (assume @p294 (forall (@list @t30 @t50 @t3 @t82) (= (tptp.c_List_Oappend @t52 @t82 @t3) (tptp.c_List_Olist_OCons @t30 @t98 @t3)))) % 0.85/1.16 (assume @p295 (forall (@list @t30 @t151 @t3 @t36) (= @t321 @t322))) % 0.85/1.16 (assume @p296 (forall @t370 (or @t381 (= @t326 @t271)))) % 0.85/1.16 (assume @p297 (forall @t136 (= @t326 @t347))) % 0.85/1.16 (assume @p298 (forall (@list @t84 @t1 @t30 @t50 @t80 @t3) (= (tptp.c_List_Ofoldl @t84 @t1 @t320 @t3 @t80) (tptp.c_List_Ofoldl @t84 (tptp.hAPP (tptp.hAPP @t84 @t1) @t30) @t50 @t3 @t80)))) % 0.85/1.16 (assume @p299 (forall (@list @t335 @t298) (or @t383 (not (tptp.hBOOL (tptp.hAPP @t335 @t382)))))) % 0.85/1.16 (assume @p300 (forall (@list @t84 @t80 @t3) (= @t353 @t71))) % 0.85/1.16 (assume @p301 (forall @t350 (or @t209 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t349) @t271) @t30) @t271)))) % 0.85/1.16 (assume @p302 (forall (@list @t335 @t80 @t386 @t3 @t384 @t385) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t335 @t80 @t386 @t3) @t384) @t385) (tptp.hAPP (tptp.hAPP @t335 @t385) @t384)))) % 0.85/1.16 (assume @p303 (forall (@list @t335 @t384 @t80 @t3 @t386 @t385) (= (tptp.hAPP (tptp.c_COMBB @t335 @t384 @t80 @t3 @t386) @t385) (tptp.hAPP @t335 (tptp.hAPP @t384 @t385))))) % 0.85/1.16 (assume @p304 (forall @t213 (not (tptp.c_HOL_Oord__class_Oless @t17 @t47 tptp.tc_nat)))) % 0.85/1.16 (assume @p305 (forall @t129 (not (tptp.c_HOL_Oord__class_Oless @t16 @t47 tptp.tc_nat)))) % 0.85/1.16 (assume @p306 (forall (@list @t3 @t114 @t30 @t31) (or @t389 (tptp.c_HOL_Oord__class_Oless @t114 @t30 @t3) (not (tptp.c_HOL_Oord__class_Oless @t114 @t31 @t3)) @t388))) % 0.85/1.16 (assume @p307 (forall (@list @t3 @t30 @t114 @t31) (or @t392 (tptp.c_HOL_Oord__class_Oless @t30 @t114 @t3) (not (tptp.c_HOL_Oord__class_Oless @t31 @t114 @t3)) @t391))) % 0.85/1.16 (assume @p308 (forall (@list @t299 @t298 @t137) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t299 @t47 @t395 tptp.tc_Type_Otype)) @t137) @t394)) @t393))) % 0.85/1.16 (assume @p309 (forall (@list @t137 @t271 @t17) (= (tptp.c_Lambda_Osubstn @t137 @t271 @t17) (tptp.hAPP (tptp.hAPP @t282 (tptp.c_Lambda_Oliftn @t17 @t271 @t47)) @t17)))) % 0.85/1.16 (assume @p310 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.85/1.16 (assume @p311 (forall @t398 (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t342) @t271) @t26) @t342) @t397 @t396))) % 0.85/1.16 (assume @p312 (forall (@list @t399 @t50 @t3 @t82) (or @t402 @t401))) % 0.85/1.16 (assume @p313 (forall (@list @t399 @t82 @t3 @t50) (or @t403 @t401))) % 0.85/1.16 (assume @p314 (forall @t408 (= (tptp.c_Lambda_OdB_OdB__case @t334 @t336 @t405 @t407 @t3) @t406))) % 0.85/1.16 (assume @p315 (forall @t291 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t290) @t288)) @t281))) % 0.85/1.16 (assume @p316 (forall (@list @t399 @t3) (tptp.c_List_Olistsp @t399 @t71 @t3))) % 0.85/1.16 (assume @p317 (forall (@list @t82 @t50 @t3 @t36) (or (not (= (tptp.c_List_Oappend @t82 @t50 @t3) (tptp.c_List_Oappend @t36 @t50 @t3))) @t409))) % 0.85/1.16 (assume @p318 (forall @t410 (or (not (= @t98 (tptp.c_List_Oappend @t50 @t36 @t3))) @t409))) % 0.85/1.16 (assume @p319 (forall @t97 (= @t268 @t50))) % 0.85/1.16 (assume @p320 (forall @t249 (= @t30 (tptp.c_List_Oappend @t71 @t30 @t3)))) % 0.85/1.16 (assume @p321 (forall @t97 (= @t50 @t268))) % 0.85/1.16 (assume @p322 (forall (@list @t3 @t82) (= @t411 @t82))) % 0.85/1.16 (assume @p323 (forall @t126 (= @t82 @t411))) % 0.85/1.16 (assume @p324 (forall (@list @t137 @t312 @t191 @t107) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t316) @t191) @t107) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t413 @t412 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p325 (forall @t65 (or (not (= @t339 (tptp.c_Type_Otype_OAtom @t61))) @t63))) % 0.85/1.16 (assume @p326 (forall (@list @t3 @t84 @t50 @t80) (or (not (= @t71 @t86)) @t414))) % 0.85/1.16 (assume @p327 (forall @t370 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t368)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t271))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t369)))))) % 0.85/1.16 (assume @p328 (forall (@list @t84 @t1 @t80 @t3) (= (tptp.c_List_Ofoldl @t84 @t1 @t352 @t3 @t80) @t1))) % 0.85/1.16 (assume @p329 (forall @t398 (or (= (tptp.c_Lambda_Osubstn @t342 @t271 @t26) @t342) @t397 @t396))) % 0.85/1.16 (assume @p330 (forall @t416 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t415)) @t138))) % 0.85/1.16 (assume @p331 (forall @t418 (or @t417 @t128))) % 0.85/1.16 (assume @p332 (forall @t418 (or @t417 @t269))) % 0.85/1.16 (assume @p333 (forall (@list @t404 @t419) (or (not (= @t407 @t420)) (= @t404 @t419)))) % 0.85/1.16 (assume @p334 (forall @t99 (or @t421 @t128))) % 0.85/1.16 (assume @p335 (forall @t99 (or @t421 @t269))) % 0.85/1.16 (assume @p336 (forall @t370 (or @t381 @t325))) % 0.85/1.16 (assume @p337 (forall @t360 (= (tptp.c_Type_Otype_Otype__rec @t334 @t336 @t339 @t3) @t337))) % 0.85/1.16 (assume @p338 (forall @t367 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t366) @t327)) @t281))) % 0.85/1.16 (assume @p339 (forall @t210 (not @t209))) % 0.85/1.16 (assume @p340 (forall @t213 (not (tptp.c_HOL_Oord__class_Oless @t17 @t17 tptp.tc_nat)))) % 0.85/1.16 (assume @p341 (forall @t211 (or @t389 @t422))) % 0.85/1.16 (assume @p342 (forall @t211 (or @t423 @t422))) % 0.85/1.16 (assume @p343 (forall @t211 (or @t392 @t422))) % 0.85/1.16 (assume @p344 (forall @t357 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t424) (tptp.hAPP @t287 @t47))))) % 0.85/1.16 (assume @p345 (forall (@list @t84 @t50 @t82 @t80 @t3) (= (tptp.c_List_Omap @t84 @t359 @t80 @t3) (tptp.c_List_Oappend @t86 @t85 @t3)))) % 0.85/1.16 (assume @p346 (forall @t425 (or @t243 @t387 @t390 @t59))) % 0.85/1.16 (assume @p347 (forall @t35 (or @t423 @t59 @t387 @t390))) % 0.85/1.16 (assume @p348 (forall @t94 (or @t90 @t24 @t39))) % 0.85/1.16 (assume @p349 (forall (@list @t335 @t17 @t16) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t335 @t17) @t16)) @t90 @t39 @t24))) % 0.85/1.16 (assume @p350 (forall (@list @t31 @t30) (or (tptp.c_HOL_Oord__class_Oless @t31 @t30 tptp.tc_nat) @t119 @t59))) % 0.85/1.16 (assume @p351 (forall @t425 (or @t423 @t387 @t390 @t59))) % 0.85/1.16 (assume @p352 (forall @t425 (or @t423 @t387 @t59 @t390))) % 0.85/1.16 (assume @p353 (forall @t35 (or @t423 @t59 @t390 @t387))) % 0.85/1.16 (assume @p354 (forall (@list @t17 @t293) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t295)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t293 tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p355 (forall @t428 (or @t427 @t426))) % 0.85/1.16 (assume @p356 (forall @t428 (or @t427 @t429))) % 0.85/1.16 (assume @p357 (forall @t329 (or @t328 (= @t271 @t326)))) % 0.85/1.16 (assume @p358 (forall (@list @t3 @t331 @t330) (not (= @t71 @t332)))) % 0.85/1.16 (assume @p359 (forall (@list @t66 @t271 @t137) (or (not (= @t317 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t137 @t311 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t317 @t137)))) % 0.85/1.16 (assume @p360 (forall (@list @t137 @t312 @t107) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t316) @t107) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t415 @t431 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p361 (forall @t213 (or @t247 @t48))) % 0.85/1.16 (assume @p362 (forall (@list @t399 @t50 @t82 @t3) (or @t400 (not @t403) (not @t402)))) % 0.85/1.16 (assume @p363 (forall @t408 (= (tptp.c_Lambda_OdB_OdB__rec @t334 @t336 @t405 @t407 @t3) (tptp.hAPP @t406 (tptp.c_Lambda_OdB_OdB__rec @t334 @t336 @t405 @t404 @t3))))) % 0.85/1.16 (assume @p364 (forall (@list @t137 @t26) (= (tptp.c_Lambda_Oliftn @t47 @t137 @t26) @t137))) % 0.85/1.16 (assume @p365 (not (tptp.c_HOL_Oord__class_Oless @t47 @t47 tptp.tc_nat))) % 0.85/1.16 (assume @p366 (forall (@list @t137 @t271) (= (tptp.c_Lambda_Osubstn @t137 @t271 @t47) (tptp.hAPP @t283 @t47)))) % 0.85/1.16 (assume @p367 (forall (@list @t106 @t191 @t107) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t433) @t191) @t107) @t433) @t432))) % 0.85/1.16 (assume @p368 (forall (@list @t335 @t334 @t336 @t405 @t404) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Lambda_OdB_OdB__case @t334 @t336 @t405 @t407 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t335 @t406))))) % 0.85/1.16 (assume @p369 (forall (@list @t335 @t334 @t336 @t405 @t151) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Lambda_OdB_OdB__case @t334 @t336 @t405 (tptp.c_Lambda_OdB_OAbs @t151) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t335 (tptp.hAPP @t405 @t151)))))) % 0.85/1.16 (assume @p370 (forall (@list @t66 @t107 @t106) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t289 @t342) @t106))) @t340))) % 0.85/1.16 (assume @p371 (forall @t99 (or (not (= @t98 @t50)) @t269))) % 0.85/1.16 (assume @p372 (forall @t99 (or (not (= @t50 @t98)) @t269))) % 0.85/1.16 (assume @p373 (forall @t99 (or (not (= @t98 @t82)) @t128))) % 0.85/1.16 (assume @p374 (forall (@list @t82 @t50 @t3) (or (not (= @t82 @t98)) @t128))) % 0.85/1.16 (assume @p375 (forall (@list @t3 @t30 @t50) (= @t351 @t52))) % 0.85/1.16 (assume @p376 (forall @t435 (or @t434 (= @t1 @t331)))) % 0.85/1.16 (assume @p377 (forall @t435 (or @t434 (= @t153 @t330)))) % 0.85/1.16 (assume @p378 (forall @t121 (or (not (= @t86 @t71)) @t414))) % 0.85/1.16 (assume @p379 (forall @t437 (or @t436 @t102))) % 0.85/1.16 (assume @p380 (forall @t437 (or @t436 @t59))) % 0.85/1.16 (assume @p381 (forall (@list @t66 @t271) (= @t317 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t317 @t311 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p382 (forall @t88 (= @t354 @t71))) % 0.85/1.16 (assume @p383 (forall (@list @t312) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.hAPP @t430 @t47) @t312 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t312 tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p384 (forall @t410 (= (tptp.c_List_Oappend @t98 @t36 @t3) (tptp.c_List_Oappend @t50 @t258 @t3)))) % 0.85/1.16 (assume @p385 (forall (@list @t50 @t323 @t158 @t3) (= (tptp.c_List_Oappend @t50 (tptp.c_List_Oappend @t323 @t158 @t3) @t3) (tptp.c_List_Oappend (tptp.c_List_Oappend @t50 @t323 @t3) @t158 @t3)))) % 0.85/1.16 (assume @p386 (forall (@list @t36 @t30 @t3 @t82) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t36 @t30 @t3) @t82 @t3) (tptp.c_List_Oappend @t36 (tptp.c_List_Oappend @t30 @t82 @t3) @t3)))) % 0.85/1.16 (assume @p387 (forall (@list @t50 @t30 @t312 @t3) (= (tptp.c_List_Oappend @t50 (tptp.c_List_Oappend @t30 @t312 @t3) @t3) (tptp.c_List_Oappend @t160 @t312 @t3)))) % 0.85/1.16 (assume @p388 (forall @t15 (or @t389 @t219 @t438))) % 0.85/1.16 (assume @p389 (forall @t35 (or @t423 @t391 @t388))) % 0.85/1.16 (assume @p390 (forall @t425 (or @t392 @t388 @t391))) % 0.85/1.16 (assume @p391 (forall (@list @t3 @t10 @t1) (or @t392 @t438 @t219))) % 0.85/1.16 (assume @p392 (forall (@list @t299 @t107 @t309 @t137 @t298) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping @t439) @t415) @t298)) @t302))) % 0.85/1.16 (assume @p393 (forall (@list @t441 @t440 @t62) (not (= @t442 @t339)))) % 0.85/1.16 (assume @p394 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping tptp.v_e____) tptp.v_u____) tptp.v_T____))) % 0.85/1.16 (assume @p395 (forall @t445 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t444) @t271) @t26) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t283 @t26)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t191) @t271) @t26))))) % 0.85/1.16 (assume @p396 (forall (@list @t419 @t62) (not (= @t420 @t446)))) % 0.85/1.16 (assume @p397 (forall (@list @t448 @t447 @t419) (not (= @t449 @t420)))) % 0.85/1.16 (assume @p398 (forall (@list @t299 @t312 @t298 @t107) (or (tptp.c_Type_Otypings @t299 @t312 @t453) @t452))) % 0.85/1.16 (assume @p399 (forall @t65 (or (not (= @t446 (tptp.c_Lambda_OdB_OVar @t61))) @t63))) % 0.85/1.16 (assume @p400 (forall (@list @t335 @t334 @t336 @t405 @t454) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Lambda_OdB_OdB__case @t334 @t336 @t405 (tptp.c_Lambda_OdB_OVar @t454) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t335 (tptp.hAPP @t334 @t454)))))) % 0.85/1.16 (assume @p401 (forall (@list @t335 @t334 @t336 @t405 @t62) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Lambda_OdB_OdB__case @t334 @t336 @t405 @t446 tptp.t_a)))) @t338))) % 0.85/1.16 (assume @p402 (forall (@list @t298 @t299 @t137) (or (= @t298 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t395) @t394)) @t393))) % 0.85/1.16 (assume @p403 (forall (@list @t419 @t448 @t447) (not (= @t420 @t449)))) % 0.85/1.16 (assume @p404 (forall @t304 (or @t303 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t137) @t274))) @t302))) % 0.85/1.16 (assume @p405 (forall @t458 (or @t457 @t39))) % 0.85/1.16 (assume @p406 (forall @t458 (or @t457 @t426))) % 0.85/1.16 (assume @p407 (forall (@list @t26 @t191) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t26)) @t191) @t26) @t191))) % 0.85/1.16 (assume @p408 (forall (@list @t335 @t334 @t336 @t405 @t380 @t333) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Lambda_OdB_OdB__case @t334 @t336 @t405 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t380) @t333) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t335 (tptp.hAPP (tptp.hAPP @t336 @t380) @t333)))))) % 0.85/1.16 (assume @p409 (forall (@list @t335 @t334 @t336 @t405 @t448 @t447) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Lambda_OdB_OdB__case @t334 @t336 @t405 @t449 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t335 @t459))))) % 0.85/1.16 (assume @p410 (forall (@list @t299 @t312 @t460) (or (tptp.c_List_Olistsp (tptp.c_COMBB (tptp.c_Ex tptp.tc_Type_Otype) @t300 (tptp.tc_fun tptp.tc_Type_Otype tptp.tc_bool) tptp.tc_bool tptp.tc_Lambda_OdB) @t312 tptp.tc_Lambda_OdB) @t461))) % 0.85/1.16 (assume @p411 (forall @t466 (or @t465 (= @t462 @t441)))) % 0.85/1.16 (assume @p412 (forall @t466 (or @t465 (= @t463 @t440)))) % 0.85/1.16 (assume @p413 (forall (@list @t84 @t30 @t50 @t80 @t1 @t3) (= (tptp.c_List_Ofoldr @t84 @t320 @t1 @t80 @t3) (tptp.hAPP @t120 @t364)))) % 0.85/1.16 (assume @p414 (forall @t470 (or (tptp.c_Type_Otypings @t299 @t312 @t469) @t468))) % 0.85/1.16 (assume @p415 (forall (@list @t309 @t298 @t299 @t158 @t107 @t312 @t460) (or (= @t309 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t473 @t298 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t472 @t461 @t471))) % 0.85/1.16 (assume @p416 (forall (@list @t299 @t107 @t298 @t3 @t106) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t299 @t107 @t298 @t3) @t106) (tptp.hAPP @t299 @t106)) @t432))) % 0.85/1.16 (assume @p417 (forall (@list @t335 @t475 @t474 @t298) (or (not (= @t382 @t476)) @t383 (tptp.hBOOL (tptp.hAPP @t335 @t474))))) % 0.85/1.16 (assume @p418 (forall (@list @t335 @t477 @t30 @t298) (or (not (= @t382 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t477) @t30))) @t383 (tptp.hBOOL (tptp.hAPP @t335 @t477))))) % 0.85/1.16 (assume @p419 (forall (@list @t107 @t137) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t342) @t137))))) % 0.85/1.16 (assume @p420 (forall (@list @t479 @t271 @t137 @t309 @t298) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t480 @t278) @t309)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t480 @t137) @t298))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t480 @t271) @t478)))))) % 0.85/1.16 (assume @p421 (forall @t485 (or @t484 (= @t448 @t481)))) % 0.85/1.16 (assume @p422 (forall @t485 (or @t484 (= @t447 @t482)))) % 0.85/1.16 (assume @p423 (forall (@list @t298 @t309 @t299 @t107 @t312) (or (= @t298 @t309) @t472 @t452))) % 0.85/1.16 (assume @p424 (forall @t487 (or @t486 (= @t456 @t271)))) % 0.85/1.16 (assume @p425 (forall @t488 (= (tptp.c_Lambda_OdB_OdB__rec @t334 @t336 @t405 @t446 @t3) @t337))) % 0.85/1.16 (assume @p426 (forall (@list @t62 @t481 @t482) (not (= @t446 @t483)))) % 0.85/1.16 (assume @p427 (forall (@list @t17 @t312 @t66 @t324) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t294 @t312 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t326 @t324 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.85/1.16 (assume @p428 (forall @t494 (or @t493 @t492 (not (tptp.hBOOL (tptp.hAPP @t491 @t474))) @t490 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t299 @t107 @t474 tptp.tc_Type_Otype)) @t137) @t489))) @t138))) % 0.85/1.16 (assume @p429 (forall @t494 (or @t493 @t492 (not (tptp.hBOOL (tptp.hAPP @t491 @t475))) @t490 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t299 @t107 @t475 tptp.tc_Type_Otype)) @t137) @t489))) @t138))) % 0.85/1.16 (assume @p430 (forall (@list @t299 @t30 @t298 @t3) (= (tptp.hAPP (tptp.c_Type_Oshift @t299 @t30 @t298 @t3) @t30) @t298))) % 0.85/1.16 (assume @p431 (forall (@list @t479 @t137 @t298 @t309) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t480 @t356) @t478)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t479 @t47 @t298 tptp.tc_Type_Otype)) @t137) @t309)))))) % 0.85/1.16 (assume @p432 (= tptp.v_n____ tptp.v_i____)) % 0.85/1.16 (assume @p433 (forall (@list @t62 @t419) (not (= @t446 @t420)))) % 0.85/1.16 (assume @p434 (forall @t213 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t294)))) % 0.85/1.16 (assume @p435 (forall (@list @t299 @t107 @t298) (or (= (tptp.hAPP @t299 @t107) @t298) (not (tptp.hBOOL (tptp.hAPP @t495 @t298)))))) % 0.85/1.16 (assume @p436 (forall (@list @t84 @t50 @t82 @t80 @t1 @t3) (= (tptp.c_List_Ofoldr @t84 @t359 @t1 @t80 @t3) (tptp.c_List_Ofoldr @t84 @t50 (tptp.c_List_Ofoldr @t84 @t82 @t1 @t80 @t3) @t80 @t3)))) % 0.85/1.16 (assume @p437 (forall (@list @t271 @t137 @t26) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t278) @t26) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t305 @t26)) @t346)))) % 0.85/1.16 (assume @p438 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype)) @t497) tptp.v_T_Ha______))) % 0.85/1.16 (assume @p439 (forall @t499 (or (tptp.hBOOL (tptp.hAPP @t301 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t498 @t298 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t468))) % 0.85/1.16 (assume @p440 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping tptp.v_ea______) tptp.v_ua______) tptp.v_T____))) % 0.85/1.16 (assume @p441 @t508) % 0.85/1.16 (assume @p442 (forall (@list @t299 @t107 @t298 @t312) (or (tptp.hBOOL (tptp.hAPP @t495 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t453 @t298 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t452))) % 0.85/1.16 (assume @p443 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t502 @t497) tptp.v_T_H____))) % 0.85/1.16 (assume @p444 (forall (@list @t299 @t137 @t312 @t298 @t460) (or @t467 @t461 (not (tptp.hBOOL (tptp.hAPP @t301 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t460 @t298 tptp.tc_Type_Otype tptp.tc_Type_Otype))))))) % 0.85/1.16 (assume @p445 (forall @t509 (= (tptp.c_Lambda_OdB_OdB__case @t334 @t336 @t405 @t449 @t3) @t459))) % 0.85/1.16 (assume @p446 (forall (@list @t299 @t191 @t298 @t137) (or (tptp.hBOOL (tptp.hAPP @t491 @t511)) @t510))) % 0.85/1.16 (assume @p447 (forall @t129 (= @t456 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t456 @t311 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.85/1.16 (assume @p448 (forall @t488 (= (tptp.c_Lambda_OdB_OdB__case @t334 @t336 @t405 @t446 @t3) @t337))) % 0.85/1.16 (assume @p449 (forall @t470 (or (tptp.c_Type_Otypings @t299 @t312 @t498) @t468))) % 0.85/1.16 (assume @p450 (forall (@list @t84 @t80 @t1 @t3) (= (tptp.c_List_Ofoldr @t84 @t352 @t1 @t80 @t3) @t1))) % 0.85/1.16 (assume @p451 (forall @t513 (= (tptp.c_Type_Otype_Otype__rec @t334 @t336 @t464 @t3) (tptp.hAPP (tptp.hAPP @t512 (tptp.c_Type_Otype_Otype__rec @t334 @t336 @t462 @t3)) (tptp.c_Type_Otype_Otype__rec @t334 @t336 @t463 @t3))))) % 0.85/1.16 (assume @p452 (forall (@list @t299 @t191 @t107 @t312 @t460 @t298) (or (tptp.c_Type_Otypings @t299 @t412 @t460) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t299 @t107 @t298 tptp.tc_Type_Otype) @t312 @t460)) (not (tptp.hBOOL (tptp.hAPP @t491 @t298)))))) % 0.85/1.16 (assume @p453 (forall @t513 (= (tptp.c_Type_Otype_Otype__case @t334 @t336 @t464 @t3) @t512))) % 0.85/1.16 (assume @p454 (forall (@list @t479 @t30) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t480 @t349) (tptp.hAPP @t479 @t30))))) % 0.85/1.16 (assume @p455 (forall (@list @t335 @t334 @t336 @t151 @t380) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Type_Otype_Otype__case @t334 @t336 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t151) @t380) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t335 (tptp.hAPP (tptp.hAPP @t336 @t151) @t380)))))) % 0.85/1.16 (assume @p456 (forall (@list @t335 @t334 @t336 @t462 @t463) (or (not (tptp.hBOOL (tptp.hAPP @t335 (tptp.c_Type_Otype_Otype__case @t334 @t336 @t464 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t335 @t512))))) % 0.85/1.16 (assume @p457 (forall @t509 (= (tptp.c_Lambda_OdB_OdB__rec @t334 @t336 @t405 @t449 @t3) (tptp.hAPP (tptp.hAPP @t459 (tptp.c_Lambda_OdB_OdB__rec @t334 @t336 @t405 @t448 @t3)) (tptp.c_Lambda_OdB_OdB__rec @t334 @t336 @t405 @t447 @t3))))) % 0.85/1.16 (assume @p458 (forall (@list @t62 @t441 @t440) (not (= @t339 @t442)))) % 0.85/1.16 (assume @p459 (forall (@list @t66 @t312 @t271) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t312 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t271 @t312 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t429))) % 0.85/1.16 (assume @p460 (forall (@list @t299 @t158 @t298 @t309 @t107 @t312 @t460) (or (tptp.c_Type_Otypings @t299 @t158 @t473) @t472 @t461 @t471))) % 0.85/1.16 (assume @p461 (forall (@list @t191 @t271 @t137) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t514 @t271)) (tptp.hAPP @t514 @t137))) @t355))) % 0.85/1.16 (assume @p462 (forall (@list @t271 @t191 @t137) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t277 @t191)) @t444)) @t355))) % 0.85/1.16 (assume @p463 (forall (@list @t17 @t271 @t137 @t26) (= (tptp.c_Lambda_Oliftn @t17 @t278 @t26) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t17 @t271 @t26)) @t379)))) % 0.85/1.16 (assume @p464 (forall (@list @t299 @t107 @t309 @t312 @t460) (or (tptp.c_Type_Otypings @t439 @t431 @t460) @t461))) % 0.85/1.16 (assume @p465 (= tptp.v_rs____ (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB))) % 0.85/1.16 (assume @p466 (forall @t487 (or @t486 @t325))) % 0.85/1.16 (assume @p467 (forall @t499 (or (tptp.hBOOL (tptp.hAPP @t301 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t469 @t298 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t468))) % 0.85/1.16 (assume @p468 (forall @t416 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t443 @t342))) @t138))) % 0.85/1.16 (assume @p469 (forall (@list @t515 @t191 @t309 @t107 @t137 @t298) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t516 @t191) @t309))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t515 @t107 @t309 tptp.tc_Type_Otype)) @t137) @t298))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t516 @t413) @t298))))) % 0.85/1.16 (assume @p470 (forall (@list @t271 @t137 @t17 @t324) (not (= @t424 @t455)))) % 0.85/1.16 (assume @p471 (forall @t445 (= (tptp.c_Lambda_Osubstn @t444 @t271 @t26) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t137 @t271 @t26)) (tptp.c_Lambda_Osubstn @t191 @t271 @t26))))) % 0.85/1.16 (assume @p472 (forall (@list @t299 @t137 @t298 @t191) (or (tptp.hBOOL (tptp.hAPP @t301 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t511) @t298))) @t510))) % 0.85/1.16 (assume @p473 (forall (@list @t481 @t482 @t62) (not (= @t483 @t446)))) % 0.85/1.16 (assume @p474 @t517) % 0.85/1.16 (assume @p475 (not tptp.v_thesis____)) % 0.85/1.16 (assume @p476 (forall @t521 (or (tptp.class_Orderings_Opreorder @t520) (not (tptp.class_Orderings_Opreorder @t518))))) % 0.85/1.16 (assume @p477 (forall @t521 (or (tptp.class_Orderings_Oorder @t520) (not (tptp.class_Orderings_Oorder @t518))))) % 0.85/1.16 (assume @p478 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p479 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.85/1.16 (assume @p480 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.85/1.16 (assume @p481 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p482 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p483 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.85/1.16 (assume @p484 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.85/1.16 (assume @p485 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p486 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.85/1.16 (assume @p487 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.85/1.16 (assume @p488 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.85/1.16 (assume @p489 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.85/1.16 (assume @p490 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.85/1.16 (assume @p491 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.85/1.16 (assume @p492 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.85/1.16 (assume @p493 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.85/1.16 (assume @p494 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.85/1.16 (assume @p495 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.85/1.16 (assume @p496 (forall @t211 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t87 @t30) @t30)))) % 0.85/1.16 (assume @p497 (forall (@list @t523 @t522 @t3) (or (= @t523 @t522) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t87 @t523) @t522)))))) % 0.85/1.16 (step @p498 :rule quant-miniscope-or :args ((= (forall @t507 @t526) (or tptp.v_thesis____ @t525)))) % 0.85/1.16 (step @p499 :rule aci_norm :args ((= @t506 @t526))) % 0.85/1.16 (step @p500 :rule cong :premises (@p499) :args (@t508)) % 0.85/1.16 (step @p501 :rule trans :premises (@p500 @p498)) % 0.85/1.16 (step @p502 :rule eq_resolve :premises (@p441 @p501)) % 0.85/1.16 (step @p503 :rule chain_m_resolution :premises (@p502 @p475) :args (@t525 (@list true) (@list tptp.v_thesis____))) % 0.85/1.16 (step @p504 :rule instantiate :premises (@p467) :args ((@list @t501 @t500 tptp.v_T_H____ tptp.v_as____))) % 0.85/1.16 (step @p505 :rule cnf_or_pos :args (@t530)) % 0.85/1.16 (step @p506 :rule reordering :premises (@p505) :args ((or @t527 @t529 (not @t530)))) % 0.85/1.16 (step @p507 :rule chain_m_resolution :premises (@p506 @p474 @p504) :args (@t529 @t531 (@list @t517 @t530))) % 0.85/1.16 (step @p508 :rule instantiate :premises (@p414) :args ((@list @t501 tptp.v_as____ tptp.v_T_H____ @t500))) % 0.85/1.16 (step @p509 :rule cnf_or_pos :args (@t533)) % 0.85/1.16 (step @p510 :rule reordering :premises (@p509) :args ((or @t527 @t532 (not @t533)))) % 0.85/1.16 (step @p511 :rule chain_m_resolution :premises (@p510 @p474 @p508) :args (@t532 @t531 (@list @t517 @t533))) % 0.85/1.16 (step @p512 :rule cnf_or_pos :args (@t536)) % 0.85/1.16 (step @p513 :rule reordering :premises (@p512) :args ((or @t535 @t534 @t537))) % 0.85/1.16 (step @p514 :rule chain_m_resolution :premises (@p513 @p511 @p507) :args (@t537 @t531 (@list @t532 @t529))) % 0.85/1.16 (assume-push @p521 @t525) % 0.85/1.16 (step @p516 :rule instantiate :premises (@p503) :args ((@list @t528))) % 0.85/1.16 (step-pop @p522 :rule scope :premises (@p516)) % 0.85/1.16 (step @p517 :rule process_scope :premises (@p522) :args (@t536)) % 0.85/1.16 (step @p519 :rule implies_elim :premises (@p517)) % 0.85/1.16 (step @p520 false :rule chain_m_resolution :premises (@p519 @p514 @p503) :args (false (@list true false) (@list @t536 @t525))) % 0.85/1.16 ) % 0.85/1.16 % SZS output end Proof % 0.85/1.17 % cvc5 exiting %------------------------------------------------------------------------------