%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL762-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 11:23:47 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.82s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL762-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n007.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 05:16:39 UTC 2026 % 0.10/0.36 % CPUTime : % 0.20/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.82 % SZS status Unsatisfiable % 0.29/0.82 % SZS output start Proof % 0.29/0.85 ( % 0.29/0.85 (declare-sort $$unsorted 0) % 0.29/0.85 (declare-const tptp.v_n $$unsorted) % 0.29/0.85 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Ofiltermap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.t_b $$unsorted) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_OrderedGroup_Osemigroup__add (-> $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__3 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__4 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xlem__1__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Type_Osko__Type__Xtypes__snocE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__4 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__3 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xremove1__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xlist__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xlist__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xmap__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xtake__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__6 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.tc_bool $$unsorted) % 0.29/0.85 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_OrderedGroup_Omonoid__add (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.29/0.85 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.29/0.85 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.29/0.85 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xconcat__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.29/0.85 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.29/0.85 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xtake__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__InductTermi__XIT__Xcases__5 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xremove1__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.tc_nat $$unsorted) % 0.29/0.85 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xmap__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.29/0.85 (declare-const tptp.t_a $$unsorted) % 0.29/0.85 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.85 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Osko__List__XCons__eq__filter__iff__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_List_Osko__List__Xfilter__eq__Cons__iff__1__3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.85 (declare-const tptp.v_sko__List__Xconcat__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.29/0.85 (define @t1 () (@var "T_a" $$unsorted)) % 0.29/0.85 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.29/0.85 (define @t3 () (@var "V_xs" $$unsorted)) % 0.29/0.85 (define @t4 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.29/0.85 (define @t5 () (tptp.c_List_Ofoldr @t4 @t3 @t2 @t1 @t1)) % 0.29/0.85 (define @t6 () (@var "V_a" $$unsorted)) % 0.29/0.85 (define @t7 () (tptp.hAPP @t4 @t6)) % 0.29/0.85 (define @t8 () (tptp.c_List_Ofoldl @t4 @t6 @t3 @t1 @t1)) % 0.29/0.85 (define @t9 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.29/0.85 (define @t10 () (@list @t1 @t6 @t3)) % 0.29/0.85 (define @t11 () (@list @t1 @t3)) % 0.29/0.85 (define @t12 () (@var "V_i" $$unsorted)) % 0.29/0.85 (define @t13 () (@var "V_k" $$unsorted)) % 0.29/0.85 (define @t14 () (tptp.c_HOL_Oord__class_Oless @t13 @t12 tptp.tc_nat)) % 0.29/0.85 (define @t15 () (= @t12 @t13)) % 0.29/0.85 (define @t16 () (tptp.c_Lambda_OdB_OVar @t12)) % 0.29/0.85 (define @t17 () (@var "V_s" $$unsorted)) % 0.29/0.85 (define @t18 () (@list @t12 @t17 @t13)) % 0.29/0.85 (define @t19 () (@var "T_b" $$unsorted)) % 0.29/0.85 (define @t20 () (tptp.c_List_Olist_ONil @t19)) % 0.29/0.85 (define @t21 () (@var "V_f" $$unsorted)) % 0.29/0.85 (define @t22 () (tptp.tc_List_Olist @t1)) % 0.29/0.85 (define @t23 () (tptp.c_List_Olist_ONil @t1)) % 0.29/0.85 (define @t24 () (tptp.c_Nat_Osize__class_Osize @t23 @t22)) % 0.29/0.85 (define @t25 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.29/0.85 (define @t26 () (@list @t1)) % 0.29/0.85 (define @t27 () (@var "V_m" $$unsorted)) % 0.29/0.85 (define @t28 () (@var "V_y" $$unsorted)) % 0.29/0.85 (define @t29 () (@var "V_x" $$unsorted)) % 0.29/0.85 (define @t30 () (= @t29 @t28)) % 0.29/0.85 (define @t31 () (@var "V_n" $$unsorted)) % 0.29/0.85 (define @t32 () (not (= (tptp.c_List_Oreplicate @t27 @t29 @t1) (tptp.c_List_Oreplicate @t31 @t28 @t1)))) % 0.29/0.85 (define @t33 () (@list @t27 @t29 @t1 @t31 @t28)) % 0.29/0.85 (define @t34 () (@var "V_T" $$unsorted)) % 0.29/0.85 (define @t35 () (@var "V_ts" $$unsorted)) % 0.29/0.85 (define @t36 () (@var "V_t" $$unsorted)) % 0.29/0.85 (define @t37 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t36 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.85 (define @t38 () (@var "V_e" $$unsorted)) % 0.29/0.85 (define @t39 () (tptp.c_Type_Otyping @t38 @t37 @t34)) % 0.29/0.85 (define @t40 () (not @t39)) % 0.29/0.85 (define @t41 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t34 @t38 @t36 @t35)) % 0.29/0.85 (define @t42 () (@list @t38 @t36 @t34 @t35)) % 0.29/0.85 (define @t43 () (tptp.c_Nat_Osize__class_Osize @t3 @t22)) % 0.29/0.85 (define @t44 () (tptp.c_List_Olist__update @t3 @t12 @t29 @t1)) % 0.29/0.85 (define @t45 () (tptp.c_List_Oreplicate @t25 @t29 @t1)) % 0.29/0.85 (define @t46 () (= @t3 @t23)) % 0.29/0.85 (define @t47 () (@list @t3 @t1)) % 0.29/0.85 (define @t48 () (@var "V_r" $$unsorted)) % 0.29/0.85 (define @t49 () (tptp.c_Transitive__Closure_Ortranclp @t48 @t1)) % 0.29/0.85 (define @t50 () (tptp.hAPP @t49 @t28)) % 0.29/0.85 (define @t51 () (tptp.hBOOL (tptp.hAPP @t50 @t29))) % 0.29/0.85 (define @t52 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t48 @t1 @t1) @t1) @t29) @t28))) % 0.29/0.85 (define @t53 () (@list @t48 @t1 @t29 @t28)) % 0.29/0.85 (define @t54 () (@var "V_b" $$unsorted)) % 0.29/0.85 (define @t55 () (tptp.c_Predicate_Oconversep @t48 @t1 @t19)) % 0.29/0.85 (define @t56 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t6) @t54))) % 0.29/0.85 (define @t57 () (tptp.hAPP @t48 @t54)) % 0.29/0.85 (define @t58 () (tptp.hBOOL (tptp.hAPP @t57 @t6))) % 0.29/0.85 (define @t59 () (@var "V_a2" $$unsorted)) % 0.29/0.85 (define @t60 () (@var "V_a1" $$unsorted)) % 0.29/0.85 (define @t61 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t6) @t54)))) % 0.29/0.85 (define @t62 () (@list @t31)) % 0.29/0.85 (define @t63 () (@list @t27)) % 0.29/0.85 (define @t64 () (tptp.c_HOL_Oord__class_Oless @t28 @t29 @t1)) % 0.29/0.85 (define @t65 () (not @t64)) % 0.29/0.85 (define @t66 () (@var "V_z" $$unsorted)) % 0.29/0.85 (define @t67 () (not (tptp.class_Orderings_Oorder @t1))) % 0.29/0.85 (define @t68 () (tptp.c_HOL_Oord__class_Oless @t29 @t28 @t1)) % 0.29/0.85 (define @t69 () (not @t68)) % 0.29/0.85 (define @t70 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.29/0.85 (define @t71 () (= @t27 @t31)) % 0.29/0.85 (define @t72 () (tptp.c_Wellfounded_Oaccp @t48 @t6 @t1)) % 0.29/0.85 (define @t73 () (not @t72)) % 0.29/0.85 (define @t74 () (tptp.hAPP @t49 @t54)) % 0.29/0.85 (define @t75 () (not (tptp.hBOOL (tptp.hAPP @t74 @t6)))) % 0.29/0.85 (define @t76 () (tptp.c_Wellfounded_Oaccp @t48 @t54 @t1)) % 0.29/0.85 (define @t77 () (@list @t48 @t54 @t1 @t6)) % 0.29/0.85 (define @t78 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t34 @t38 @t36 @t35)) % 0.29/0.85 (define @t79 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t36)))) % 0.29/0.85 (define @t80 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.85 (define @t81 () (@list @t36)) % 0.29/0.85 (define @t82 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t48))) % 0.29/0.85 (define @t83 () (@list @t48)) % 0.29/0.85 (define @t84 () (tptp.c_List_Oremdups @t3 @t1)) % 0.29/0.85 (define @t85 () (= @t84 @t3)) % 0.29/0.85 (define @t86 () (= (tptp.c_Nat_Osize__class_Osize @t84 @t22) @t43)) % 0.29/0.85 (define @t87 () (tptp.tc_List_Olist @t19)) % 0.29/0.85 (define @t88 () (tptp.c_Nat_Osize__class_Osize @t3 @t87)) % 0.29/0.85 (define @t89 () (tptp.c_List_Omap @t21 @t3 @t19 @t1)) % 0.29/0.85 (define @t90 () (@list @t21 @t3 @t19 @t1)) % 0.29/0.85 (define @t91 () (tptp.hAPP @t21 @t29)) % 0.29/0.85 (define @t92 () (tptp.c_List_Oreplicate @t31 @t29 @t1)) % 0.29/0.85 (define @t93 () (@list @t31 @t29 @t1)) % 0.29/0.85 (define @t94 () (@var "V_ys" $$unsorted)) % 0.29/0.85 (define @t95 () (tptp.c_List_Oappend @t3 @t94 @t19)) % 0.29/0.85 (define @t96 () (@var "V_P" $$unsorted)) % 0.29/0.85 (define @t97 () (tptp.hBOOL (tptp.hAPP @t96 @t29))) % 0.29/0.85 (define @t98 () (not @t97)) % 0.29/0.85 (define @t99 () (tptp.c_List_Ofilter @t96 @t92 @t1)) % 0.29/0.85 (define @t100 () (@list @t96 @t31 @t29 @t1)) % 0.29/0.85 (define @t101 () (tptp.c_Nat_Osize__class_Osize @t94 @t87)) % 0.29/0.85 (define @t102 () (tptp.c_List_Omap @t21 @t94 @t19 @t1)) % 0.29/0.85 (define @t103 () (tptp.c_fequal @t1)) % 0.29/0.85 (define @t104 () (tptp.c_List_Oappend @t3 @t94 @t1)) % 0.29/0.85 (define @t105 () (tptp.c_List_Orotate @t31 @t3 @t1)) % 0.29/0.85 (define @t106 () (@list @t31 @t3 @t1)) % 0.29/0.85 (define @t107 () (tptp.c_HOL_Oord__class_Oless @t29 @t29 tptp.tc_nat)) % 0.29/0.85 (define @t108 () (not (tptp.c_HOL_Oord__class_Oless @t29 @t29 @t1))) % 0.29/0.85 (define @t109 () (@list @t1 @t29)) % 0.29/0.85 (define @t110 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.29/0.85 (define @t111 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.29/0.85 (define @t112 () (@list @t1 @t28 @t29)) % 0.29/0.85 (define @t113 () (@list @t1 @t29 @t28)) % 0.29/0.85 (define @t114 () (tptp.c_HOL_Oord__class_Oless @t27 @t31 tptp.tc_nat)) % 0.29/0.85 (define @t115 () (tptp.c_HOL_Oord__class_Oless @t31 @t27 tptp.tc_nat)) % 0.29/0.85 (define @t116 () (tptp.c_List_Oreplicate @t13 @t29 @t1)) % 0.29/0.85 (define @t117 () (tptp.c_HOL_Oord__class_Oless @t6 @t54 @t1)) % 0.29/0.85 (define @t118 () (not @t117)) % 0.29/0.85 (define @t119 () (@var "V_d" $$unsorted)) % 0.29/0.85 (define @t120 () (@var "V_c" $$unsorted)) % 0.29/0.85 (define @t121 () (tptp.hAPP @t4 @t54)) % 0.29/0.85 (define @t122 () (tptp.hAPP @t121 @t119)) % 0.29/0.85 (define @t123 () (tptp.hAPP @t7 @t120)) % 0.29/0.85 (define @t124 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.29/0.85 (define @t125 () (= @t31 @t25)) % 0.29/0.85 (define @t126 () (tptp.c_List_Olist_OCons @t29 @t3 @t19)) % 0.29/0.85 (define @t127 () (@var "V_type2_H" $$unsorted)) % 0.29/0.85 (define @t128 () (@var "V_type2" $$unsorted)) % 0.29/0.85 (define @t129 () (@var "V_type1_H" $$unsorted)) % 0.29/0.85 (define @t130 () (@var "V_type1" $$unsorted)) % 0.29/0.85 (define @t131 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t130) @t128) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t129) @t127)))) % 0.29/0.85 (define @t132 () (@list @t130 @t128 @t129 @t127)) % 0.29/0.85 (define @t133 () (tptp.hAPP @t121 @t120)) % 0.29/0.85 (define @t134 () (tptp.c_HOL_Oord__class_Oless @t123 @t133 @t1)) % 0.29/0.85 (define @t135 () (@list @t1 @t6 @t120 @t54)) % 0.29/0.85 (define @t136 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.29/0.85 (define @t137 () (@list @t1 @t6 @t54 @t120)) % 0.29/0.85 (define @t138 () (tptp.hAPP @t4 @t120)) % 0.29/0.85 (define @t139 () (tptp.hAPP @t138 @t6)) % 0.29/0.85 (define @t140 () (tptp.c_HOL_Oord__class_Oless @t139 (tptp.hAPP @t138 @t54) @t1)) % 0.29/0.85 (define @t141 () (@list @t1 @t120 @t6 @t54)) % 0.29/0.85 (define @t142 () (tptp.c_List_Orev @t3 @t1)) % 0.29/0.85 (define @t143 () (not (tptp.c_HOL_Oord__class_Oless @t54 @t6 @t1))) % 0.29/0.85 (define @t144 () (@list @t1 @t6 @t54)) % 0.29/0.85 (define @t145 () (tptp.hAPP @t48 @t28)) % 0.29/0.85 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 0.29/0.85 (define @t147 () (not @t146)) % 0.29/0.85 (define @t148 () (tptp.hAPP @t7 @t6)) % 0.29/0.85 (define @t149 () (tptp.c_HOL_Oord__class_Oless @t2 @t148 @t1)) % 0.29/0.85 (define @t150 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.29/0.85 (define @t151 () (@list @t1 @t6)) % 0.29/0.85 (define @t152 () (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1)) % 0.29/0.85 (define @t153 () (not @t152)) % 0.29/0.85 (define @t154 () (tptp.hAPP @t7 @t54)) % 0.29/0.85 (define @t155 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.29/0.85 (define @t156 () (tptp.c_HOL_Oord__class_Oless @t148 @t2 @t1)) % 0.29/0.85 (define @t157 () (not @t156)) % 0.29/0.85 (define @t158 () (@list @t1 @t54 @t6 @t120)) % 0.29/0.85 (define @t159 () (@list @t29 @t1)) % 0.29/0.85 (define @t160 () (tptp.c_List_Olist_OCons @t29 @t3 @t1)) % 0.29/0.85 (define @t161 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.29/0.85 (define @t162 () (@var "V_U" $$unsorted)) % 0.29/0.85 (define @t163 () (@var "V_env" $$unsorted)) % 0.29/0.85 (define @t164 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t17)) % 0.29/0.85 (define @t165 () (tptp.hAPP @t164 @t36)) % 0.29/0.85 (define @t166 () (tptp.c_Lambda_OdB_OVar @t29)) % 0.29/0.85 (define @t167 () (@list @t29 @t17)) % 0.29/0.85 (define @t168 () (@var "V_j" $$unsorted)) % 0.29/0.85 (define @t169 () (tptp.c_Lambda_OdB_OVar @t168)) % 0.29/0.85 (define @t170 () (@var "V_u" $$unsorted)) % 0.29/0.85 (define @t171 () (@var "V_Ts" $$unsorted)) % 0.29/0.85 (define @t172 () (not (tptp.c_Type_Otypings @t38 @t35 @t171))) % 0.29/0.85 (define @t173 () (tptp.c_Map_Omap__upds @t27 @t3 @t94 @t1 @t19)) % 0.29/0.85 (define @t174 () (@var "V_zs" $$unsorted)) % 0.29/0.85 (define @t175 () (tptp.c_List_Oappend @t3 @t174 @t1)) % 0.29/0.85 (define @t176 () (not (= @t43 @t101))) % 0.29/0.85 (define @t177 () (@list @t3 @t1 @t94 @t19 @t27 @t174)) % 0.29/0.85 (define @t178 () (not (tptp.c_HOL_Oord__class_Oless @t12 @t13 tptp.tc_nat))) % 0.29/0.85 (define @t179 () (tptp.c_List_Oreplicate @t12 @t29 @t1)) % 0.29/0.85 (define @t180 () (tptp.c_List_Olist_OCons @t29 @t23 @t1)) % 0.29/0.85 (define @t181 () (@var "V_xb" $$unsorted)) % 0.29/0.85 (define @t182 () (@var "V_xa" $$unsorted)) % 0.29/0.85 (define @t183 () (tptp.c_List_Ofilter @t96 (tptp.c_List_Oappend @t182 (tptp.c_List_Olist_OCons @t29 @t181 @t1) @t1) @t1)) % 0.29/0.85 (define @t184 () (tptp.c_List_Olist_OCons @t29 (tptp.c_List_Ofilter @t96 @t181 @t1) @t1)) % 0.29/0.85 (define @t185 () (@list @t96 @t29 @t182 @t1 @t181)) % 0.29/0.85 (define @t186 () (@var "V_ss" $$unsorted)) % 0.29/0.85 (define @t187 () (tptp.c_Lambda_OdB_OAbs @t48)) % 0.29/0.85 (define @t188 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t187) @t17) @t186 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.85 (define @t189 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t48 @t17 @t25) @t186 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.85 (define @t190 () (@list @t48 @t17 @t186)) % 0.29/0.85 (define @t191 () (tptp.c_List_Olist_OCons @t28 @t94 @t1)) % 0.29/0.85 (define @t192 () (tptp.c_List_Olist_OCons @t29 @t94 @t1)) % 0.29/0.85 (define @t193 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t16 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.85 (define @t194 () (not (tptp.c_Type_Otyping @t38 @t193 @t34))) % 0.29/0.85 (define @t195 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t34 @t38 @t12 @t35)) % 0.29/0.85 (define @t196 () (@var "V_us" $$unsorted)) % 0.29/0.85 (define @t197 () (not (tptp.c_Type_Otyping @t38 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t193 @t196 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t34))) % 0.29/0.85 (define @t198 () (not (tptp.c_Type_Otyping @t38 @t193 @t162))) % 0.29/0.85 (define @t199 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t34 @t162 @t38 @t196)) % 0.29/0.85 (define @t200 () (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_ONil tptp.t_a))))) % 0.29/0.85 (define @t201 () (tptp.v_sko__List__Xconcat__Xinduct__2 @t96)) % 0.29/0.85 (define @t202 () (@var "V_list" $$unsorted)) % 0.29/0.85 (define @t203 () (tptp.hBOOL (tptp.hAPP @t96 @t202))) % 0.29/0.85 (define @t204 () (@list @t96 @t202)) % 0.29/0.85 (define @t205 () (tptp.v_sko__List__Xtake__Xinduct__2 @t96)) % 0.29/0.85 (define @t206 () (tptp.v_sko__List__Xmap__Xinduct__2 @t96)) % 0.29/0.85 (define @t207 () (tptp.v_sko__List__Xlist__Xinduct__2 @t96)) % 0.29/0.85 (define @t208 () (tptp.v_sko__List__XdropWhile__Xinduct__2 @t96)) % 0.29/0.85 (define @t209 () (tptp.v_sko__List__Xremove1__Xinduct__2 @t96)) % 0.29/0.85 (define @t210 () (tptp.v_sko__List__Xdistinct__Xinduct__2 @t96)) % 0.29/0.85 (define @t211 () (@list @t38 @t35 @t34 @t36)) % 0.29/0.85 (define @t212 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t6)))) % 0.29/0.85 (define @t213 () (tptp.v_sko__InductTermi__XIT__Xcases__1 @t6)) % 0.29/0.85 (define @t214 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t213 tptp.tc_Lambda_OdB)) % 0.29/0.85 (define @t215 () (tptp.v_sko__InductTermi__XIT__Xcases__3 @t6)) % 0.29/0.85 (define @t216 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t215))) % 0.29/0.85 (define @t217 () (tptp.v_sko__InductTermi__XIT__Xcases__6 @t6)) % 0.29/0.85 (define @t218 () (tptp.v_sko__InductTermi__XIT__Xcases__5 @t6)) % 0.29/0.85 (define @t219 () (tptp.v_sko__InductTermi__XIT__Xcases__4 @t6)) % 0.29/0.85 (define @t220 () (= @t6 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t219)) @t218) @t217 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.29/0.85 (define @t221 () (@list @t6)) % 0.29/0.85 (define @t222 () (= @t6 (tptp.c_Lambda_OdB_OAbs @t215))) % 0.29/0.85 (define @t223 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.29/0.85 (define @t224 () (not (tptp.c_Type_Otypings @t38 (tptp.c_List_Oappend @t35 (tptp.c_List_Olist_OCons @t36 @t223 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) @t171))) % 0.29/0.85 (define @t225 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t219 @t218 @t25) @t217 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.85 (define @t226 () (= @t6 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.v_sko__InductTermi__XIT__Xcases__2 @t6)) @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.29/0.85 (define @t227 () (tptp.hBOOL (tptp.hAPP @t96 @t36))) % 0.29/0.85 (define @t228 () (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__1 @t96)) (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__2 @t96) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.29/0.85 (define @t229 () (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__3 @t96)) % 0.29/0.85 (define @t230 () (@list @t96 @t36)) % 0.29/0.85 (define @t231 () (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1 @t96)) (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2 @t96) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.29/0.85 (define @t232 () (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3 @t96)) % 0.29/0.85 (define @t233 () (@var "V_s_H" $$unsorted)) % 0.29/0.85 (define @t234 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.29/0.85 (define @t235 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t234 @t17) @t233)))) % 0.29/0.85 (define @t236 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t233)) % 0.29/0.85 (define @t237 () (tptp.hAPP @t234 @t165)) % 0.29/0.85 (define @t238 () (@var "V_f2" $$unsorted)) % 0.29/0.85 (define @t239 () (tptp.hAPP (tptp.hAPP @t238 @t6) @t202)) % 0.29/0.85 (define @t240 () (@var "V_f1" $$unsorted)) % 0.29/0.85 (define @t241 () (@list @t29 @t3 @t1)) % 0.29/0.85 (define @t242 () (tptp.hAPP @t4 @t29)) % 0.29/0.85 (define @t243 () (tptp.hAPP @t242 @t66)) % 0.29/0.85 (define @t244 () (tptp.hAPP @t242 @t28)) % 0.29/0.85 (define @t245 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.29/0.85 (define @t246 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.29/0.85 (define @t247 () (@list @t1 @t29 @t28 @t66)) % 0.29/0.85 (define @t248 () (= @t54 @t120)) % 0.29/0.85 (define @t249 () (not (= @t154 @t123))) % 0.29/0.85 (define @t250 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.29/0.85 (define @t251 () (tptp.hAPP @t121 @t6)) % 0.29/0.85 (define @t252 () (tptp.c_List_Olist_OCons @t29 @t182 @t1)) % 0.29/0.85 (define @t253 () (tptp.c_List_Oappend @t252 @t174 @t1)) % 0.29/0.85 (define @t254 () (tptp.c_List_Olist_OCons @t29 (tptp.c_List_Oappend @t182 @t174 @t1) @t1)) % 0.29/0.85 (define @t255 () (@var "V_xs1" $$unsorted)) % 0.29/0.85 (define @t256 () (not (tptp.c_ListOrder_Ostep1 @t48 @t191 @t160 @t1))) % 0.29/0.85 (define @t257 () (tptp.hBOOL (tptp.hAPP @t145 @t29))) % 0.29/0.85 (define @t258 () (tptp.c_List_Olinorder__class_Osorted @t3 @t1)) % 0.29/0.85 (define @t259 () (tptp.hAPP @t4 @t123)) % 0.29/0.85 (define @t260 () (tptp.hAPP @t138 @t119)) % 0.29/0.85 (define @t261 () (tptp.hAPP @t4 @t154)) % 0.29/0.85 (define @t262 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.29/0.85 (define @t263 () (@var "V_t_H" $$unsorted)) % 0.29/0.85 (define @t264 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t234 @t36) @t263)))) % 0.29/0.85 (define @t265 () (tptp.c_List_Olist_OCons @t28 @t23 @t1)) % 0.29/0.85 (define @t266 () (tptp.c_List_Orev @t94 @t1)) % 0.29/0.85 (define @t267 () (tptp.c_List_Oappend @t266 @t265 @t1)) % 0.29/0.85 (define @t268 () (not (tptp.c_Type_Otyping @t38 @t36 @t34))) % 0.29/0.85 (define @t269 () (tptp.c_Type_Otyping @t38 @t263 @t34)) % 0.29/0.85 (define @t270 () (@list @t38 @t263 @t34 @t36)) % 0.29/0.85 (define @t271 () (tptp.c_Lambda_Olift @t36 @t13)) % 0.29/0.85 (define @t272 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t48) @t17)))) % 0.29/0.85 (define @t273 () (tptp.c_Lambda_Olift @t17 @t12)) % 0.29/0.85 (define @t274 () (tptp.c_Lambda_Olift @t48 @t12)) % 0.29/0.85 (define @t275 () (@list @t48 @t12 @t17)) % 0.29/0.85 (define @t276 () (tptp.c_List_Olist_OCons @t28 @t3 @t1)) % 0.29/0.85 (define @t277 () (tptp.c_List_Oappend @t23 @t160 @t1)) % 0.29/0.85 (define @t278 () (tptp.c_List_Orev @t180 @t1)) % 0.29/0.85 (define @t279 () (tptp.c_List_Oappend @t3 @t180 @t1)) % 0.29/0.85 (define @t280 () (tptp.c_List_Oappend @t94 @t265 @t1)) % 0.29/0.85 (define @t281 () (not (tptp.c_ListOrder_Ostep1 @t48 @t280 @t279 @t1))) % 0.29/0.85 (define @t282 () (tptp.c_ListOrder_Ostep1 @t48 @t94 @t3 @t1)) % 0.29/0.85 (define @t283 () (= @t94 @t3)) % 0.29/0.85 (define @t284 () (@list @t48 @t1)) % 0.29/0.85 (define @t285 () (tptp.hAPP @t4 @t2)) % 0.29/0.85 (define @t286 () (= (tptp.hAPP @t285 @t6) @t6)) % 0.29/0.85 (define @t287 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.29/0.85 (define @t288 () (= (tptp.hAPP @t7 @t2) @t6)) % 0.29/0.85 (define @t289 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t17) @t36)))) % 0.29/0.85 (define @t290 () (tptp.c_Lambda_OdB_OAbs @t17)) % 0.29/0.85 (define @t291 () (@list @t17 @t36)) % 0.29/0.85 (define @t292 () (@list @t3 @t94 @t1)) % 0.29/0.85 (define @t293 () (@var "V_plus" $$unsorted)) % 0.29/0.85 (define @t294 () (@var "V_zero" $$unsorted)) % 0.29/0.85 (define @t295 () (not (tptp.c_OrderedGroup_Omonoid__add @t294 @t293 @t1))) % 0.29/0.85 (define @t296 () (tptp.hAPP @t293 @t6)) % 0.29/0.85 (define @t297 () (tptp.c_List_Ofilter @t96 @t94 @t1)) % 0.29/0.85 (define @t298 () (tptp.c_List_Ofilter @t96 @t3 @t1)) % 0.29/0.85 (define @t299 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t218))) % 0.29/0.85 (define @t300 () (tptp.c_List_Oappend @t23 @t23 @t1)) % 0.29/0.85 (define @t301 () (= @t3 @t20)) % 0.29/0.85 (define @t302 () (tptp.c_List_Orev @t23 @t1)) % 0.29/0.85 (define @t303 () (tptp.c_List_Oremdups @t23 @t1)) % 0.29/0.85 (define @t304 () (= @t94 @t23)) % 0.29/0.85 (define @t305 () (= @t29 @t23)) % 0.29/0.85 (define @t306 () (tptp.c_List_Oremdups @t29 @t1)) % 0.29/0.85 (define @t307 () (@var "V_list_H" $$unsorted)) % 0.29/0.85 (define @t308 () (@var "V_a_H" $$unsorted)) % 0.29/0.85 (define @t309 () (tptp.c_List_Olist_OCons @t308 @t307 @t1)) % 0.29/0.85 (define @t310 () (not (= @t104 @t23))) % 0.29/0.85 (define @t311 () (not (= @t23 @t104))) % 0.29/0.85 (define @t312 () (@list @t1 @t3 @t94)) % 0.29/0.85 (define @t313 () (tptp.c_List_Oappend @t23 @t94 @t1)) % 0.29/0.86 (define @t314 () (@list @t94 @t1)) % 0.29/0.86 (define @t315 () (tptp.c_List_Oappend @t3 @t23 @t1)) % 0.29/0.86 (define @t316 () (@var "V_A" $$unsorted)) % 0.29/0.86 (define @t317 () (tptp.c_List_Omap @t21 @t20 @t19 @t1)) % 0.29/0.86 (define @t318 () (@list @t21 @t19 @t1)) % 0.29/0.86 (define @t319 () (tptp.c_List_Olist_OCons @t28 @t174 @t1)) % 0.29/0.86 (define @t320 () (tptp.hAPP @t4 @t28)) % 0.29/0.86 (define @t321 () (tptp.hAPP @t242 (tptp.hAPP @t320 @t66))) % 0.29/0.86 (define @t322 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.29/0.86 (define @t323 () (tptp.hAPP @t7 @t133)) % 0.29/0.86 (define @t324 () (tptp.hAPP @t261 @t120)) % 0.29/0.86 (define @t325 () (= @t324 @t323)) % 0.29/0.86 (define @t326 () (tptp.hAPP @t7 @t260)) % 0.29/0.86 (define @t327 () (@list @t1 @t6 @t120 @t119)) % 0.29/0.86 (define @t328 () (@list @t96 @t3 @t1)) % 0.29/0.86 (define @t329 () (tptp.c_List_Ofilter @t96 @t160 @t1)) % 0.29/0.86 (define @t330 () (@list @t96 @t29 @t3 @t1)) % 0.29/0.86 (define @t331 () (= @t3 @t180)) % 0.29/0.86 (define @t332 () (tptp.c_List_Oappend @t3 @t29 @t1)) % 0.29/0.86 (define @t333 () (not @t282)) % 0.29/0.86 (define @t334 () (@var "V_vs" $$unsorted)) % 0.29/0.86 (define @t335 () (tptp.c_List_Olistsp @t316 @t104 @t1)) % 0.29/0.86 (define @t336 () (not @t335)) % 0.29/0.86 (define @t337 () (tptp.c_List_Olistsp @t316 @t3 @t1)) % 0.29/0.86 (define @t338 () (tptp.c_List_Olistsp @t316 @t94 @t1)) % 0.29/0.86 (define @t339 () (@var "V_dB" $$unsorted)) % 0.29/0.86 (define @t340 () (@var "V_f3" $$unsorted)) % 0.29/0.86 (define @t341 () (tptp.hAPP @t340 @t339)) % 0.29/0.86 (define @t342 () (tptp.c_Lambda_OdB_OAbs @t339)) % 0.29/0.86 (define @t343 () (@list @t240 @t238 @t340 @t339 @t1)) % 0.29/0.86 (define @t344 () (tptp.c_Lambda_Osubst @t17 @t36 @t12)) % 0.29/0.86 (define @t345 () (tptp.c_Lambda_Osubst @t48 @t36 @t12)) % 0.29/0.86 (define @t346 () (@list @t48 @t36 @t12 @t17)) % 0.29/0.86 (define @t347 () (= @t3 @t94)) % 0.29/0.86 (define @t348 () (= @t94 @t174)) % 0.29/0.86 (define @t349 () (@list @t3 @t94 @t1 @t174)) % 0.29/0.86 (define @t350 () (tptp.hAPP @t49 @t6)) % 0.29/0.86 (define @t351 () (tptp.hAPP @t49 @t29)) % 0.29/0.86 (define @t352 () (tptp.hBOOL (tptp.hAPP @t351 @t28))) % 0.29/0.86 (define @t353 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t234 (tptp.c_Lambda_Osubst @t36 @t48 @t12)) (tptp.c_Lambda_Osubst @t36 @t17 @t12)))) % 0.29/0.86 (define @t354 () (@list @t36 @t48 @t12 @t17)) % 0.29/0.86 (define @t355 () (tptp.c_List_Orev @t142 @t1)) % 0.29/0.86 (define @t356 () (= @t28 @t29)) % 0.29/0.86 (define @t357 () (= @t6 @t2)) % 0.29/0.86 (define @t358 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t234 @t48) @t17)))) % 0.29/0.86 (define @t359 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t29) @t28)))) % 0.29/0.86 (define @t360 () (@var "V_dB_H" $$unsorted)) % 0.29/0.86 (define @t361 () (tptp.c_Lambda_OdB_OAbs @t360)) % 0.29/0.86 (define @t362 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t290) @t36)) % 0.29/0.86 (define @t363 () (@list @t48 @t94 @t3 @t1 @t28 @t29)) % 0.29/0.86 (define @t364 () (not (tptp.c_OrderedGroup_Osemigroup__add @t293 @t1))) % 0.29/0.86 (define @t365 () (not (tptp.class_OrderedGroup_Osemigroup__add @t1))) % 0.29/0.86 (define @t366 () (not (= (tptp.c_List_Olist_OCons @t6 @t202 @t1) @t309))) % 0.29/0.86 (define @t367 () (@list @t6 @t202 @t1 @t308 @t307)) % 0.29/0.86 (define @t368 () (not (tptp.c_List_Olinorder__class_Osorted @t104 @t1))) % 0.29/0.86 (define @t369 () (@var "V_i_H" $$unsorted)) % 0.29/0.86 (define @t370 () (@var "V_x_H" $$unsorted)) % 0.29/0.86 (define @t371 () (@var "V_l" $$unsorted)) % 0.29/0.86 (define @t372 () (not (= @t279 @t280))) % 0.29/0.86 (define @t373 () (@list @t3 @t29 @t1 @t94 @t28)) % 0.29/0.86 (define @t374 () (tptp.hBOOL (tptp.hAPP @t350 @t120))) % 0.29/0.86 (define @t375 () (@list @t48 @t1 @t6 @t120 @t54)) % 0.29/0.86 (define @t376 () (@var "V_v" $$unsorted)) % 0.29/0.86 (define @t377 () (@var "V_as" $$unsorted)) % 0.29/0.86 (define @t378 () (@var "V_bs" $$unsorted)) % 0.29/0.86 (define @t379 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t36) @t170)) % 0.29/0.86 (define @t380 () (@list @t36 @t170 @t17 @t13)) % 0.29/0.86 (define @t381 () (@var "V_dB2" $$unsorted)) % 0.29/0.86 (define @t382 () (@var "V_dB1" $$unsorted)) % 0.29/0.86 (define @t383 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t382) @t381)) % 0.29/0.86 (define @t384 () (@var "V_xc" $$unsorted)) % 0.29/0.86 (define @t385 () (tptp.hAPP (tptp.hAPP @t238 @t382) @t381)) % 0.29/0.86 (define @t386 () (@list @t240 @t238 @t340 @t382 @t381 @t1)) % 0.29/0.86 (define @t387 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t170)) % 0.29/0.86 (define @t388 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t17 @t186 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.86 (define @t389 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t48 @t186 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.86 (define @t390 () (@list @t48 @t186 @t17)) % 0.29/0.86 (define @t391 () (@var "V_rs" $$unsorted)) % 0.29/0.86 (define @t392 () (tptp.hAPP @t293 @t29)) % 0.29/0.86 (define @t393 () (tptp.c_Lambda_OdB_OVar @t31)) % 0.29/0.86 (define @t394 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t393 @t391 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.86 (define @t395 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t394) @t376)))) % 0.29/0.86 (define @t396 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t31 @t391 @t376)) % 0.29/0.86 (define @t397 () (@var "V_nat" $$unsorted)) % 0.29/0.86 (define @t398 () (tptp.c_Lambda_OdB_OVar @t397)) % 0.29/0.86 (define @t399 () (@var "V_xd" $$unsorted)) % 0.29/0.86 (define @t400 () (tptp.hAPP @t240 @t397)) % 0.29/0.86 (define @t401 () (@list @t240 @t238 @t340 @t397 @t1)) % 0.29/0.86 (define @t402 () (= @t35 @t223)) % 0.29/0.86 (define @t403 () (tptp.c_List_Olist_OCons @t17 @t223 tptp.tc_Lambda_OdB)) % 0.29/0.86 (define @t404 () (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t48 @t17 @t36 @t35)) % 0.29/0.86 (define @t405 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t48) @t17)) % 0.29/0.86 (define @t406 () (not (= @t405 @t37))) % 0.29/0.86 (define @t407 () (@list @t48 @t17 @t36 @t35)) % 0.29/0.86 (define @t408 () (not @t82)) % 0.29/0.86 (define @t409 () (tptp.c_List_Oappend @t29 @t403 tptp.tc_Lambda_OdB)) % 0.29/0.86 (define @t410 () (not (= @t388 @t187))) % 0.29/0.86 (define @t411 () (@list @t17 @t186 @t48)) % 0.29/0.86 (define @t412 () (= @t48 @t17)) % 0.29/0.86 (define @t413 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t187 @t391 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t290 @t186 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.86 (define @t414 () (@list @t48 @t391 @t17 @t186)) % 0.29/0.86 (define @t415 () (= @t391 @t186)) % 0.29/0.86 (define @t416 () (not (= @t187 @t388))) % 0.29/0.86 (define @t417 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t393 @t186 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.86 (define @t418 () (= @t186 @t223)) % 0.29/0.86 (define @t419 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t187 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.29/0.86 (define @t420 () (@var "V_nat_H" $$unsorted)) % 0.29/0.86 (define @t421 () (tptp.c_Lambda_OdB_OVar @t27)) % 0.29/0.86 (define @t422 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t421 @t391 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t417))) % 0.29/0.86 (define @t423 () (@list @t27 @t391 @t31 @t186)) % 0.29/0.86 (define @t424 () (@var "V_dB1_H" $$unsorted)) % 0.29/0.86 (define @t425 () (@var "V_dB2_H" $$unsorted)) % 0.29/0.86 (define @t426 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t424) @t425)) % 0.29/0.86 (define @t427 () (not (= @t383 @t426))) % 0.29/0.86 (define @t428 () (@list @t382 @t381 @t424 @t425)) % 0.29/0.86 (define @t429 () (not (= @t421 @t388))) % 0.29/0.86 (define @t430 () (@list @t27 @t17 @t186)) % 0.29/0.86 (define @t431 () (tptp.c_List_Ofoldl @t21 @t6 @t20 @t1 @t19)) % 0.29/0.86 (define @t432 () (forall (@list @t21 @t6 @t19 @t1) (= @t431 @t6))) % 0.29/0.86 (define @t433 () (tptp.c_Lambda_OdB_OVar tptp.v_n)) % 0.29/0.86 (define @t434 () (tptp.hAPP tptp.c_InductTermi_OIT @t433)) % 0.29/0.86 (define @t435 () (tptp.hBOOL @t434)) % 0.29/0.86 (define @t436 () (@var "T_1" $$unsorted)) % 0.29/0.86 (define @t437 () (@var "T_2" $$unsorted)) % 0.29/0.86 (define @t438 () (tptp.tc_fun @t437 @t436)) % 0.29/0.86 (define @t439 () (@list @t437 @t436)) % 0.29/0.86 (define @t440 () (@var "V_Y" $$unsorted)) % 0.29/0.86 (define @t441 () (@var "V_X" $$unsorted)) % 0.29/0.86 (assume @p1 (forall @t10 (or @t9 (= @t8 (tptp.hAPP @t7 @t5))))) % 0.29/0.86 (assume @p2 (forall @t11 (or @t9 (= (tptp.c_List_Ofoldl @t4 @t2 @t3 @t1 @t1) @t5)))) % 0.29/0.86 (assume @p3 (forall @t18 (or (= (tptp.c_Lambda_Osubstn @t16 @t17 @t13) @t16) @t15 @t14))) % 0.29/0.86 (assume @p4 (forall (@list @t21 @t19 @t6 @t1) (= (tptp.c_List_Ofoldr @t21 @t20 @t6 @t19 @t1) @t6))) % 0.29/0.86 (assume @p5 (forall @t26 (not (tptp.c_HOL_Oord__class_Oless @t25 @t24 tptp.tc_nat)))) % 0.29/0.86 (assume @p6 (forall @t33 (or @t32 @t30 (= @t27 @t25)))) % 0.29/0.86 (assume @p7 (forall @t42 (or (tptp.c_Type_Otyping @t38 @t36 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t41 @t34 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t40))) % 0.29/0.86 (assume @p8 (forall (@list @t3 @t12 @t29 @t1) (= (tptp.c_Nat_Osize__class_Osize @t44 @t22) @t43))) % 0.29/0.86 (assume @p9 (forall (@list @t29 @t1 @t28) (= @t45 (tptp.c_List_Oreplicate @t25 @t28 @t1)))) % 0.29/0.86 (assume @p10 (forall @t47 (or (tptp.c_HOL_Oord__class_Oless @t25 @t43 tptp.tc_nat) @t46))) % 0.29/0.86 (assume @p11 (forall @t53 (or @t52 (not @t51)))) % 0.29/0.86 (assume @p12 (forall (@list @t48 @t1 @t28 @t29) (or @t51 (not @t52)))) % 0.29/0.86 (assume @p13 (forall (@list @t48 @t54 @t6 @t1 @t19) (or @t58 (not @t56)))) % 0.29/0.86 (assume @p14 (forall (@list @t48 @t1 @t19 @t6 @t54) (or @t56 (not @t58)))) % 0.29/0.86 (assume @p15 (forall (@list @t48 @t59 @t60 @t1 @t19) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t48 @t59) @t60)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t60) @t59)))))) % 0.29/0.86 (assume @p16 (forall (@list @t48 @t1 @t19 @t54 @t6) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t54) @t6)) @t61))) % 0.29/0.86 (assume @p17 (forall @t62 (not (tptp.c_HOL_Oord__class_Oless @t31 @t25 tptp.tc_nat)))) % 0.29/0.86 (assume @p18 (forall @t63 (not (tptp.c_HOL_Oord__class_Oless @t27 @t25 tptp.tc_nat)))) % 0.29/0.86 (assume @p19 (forall (@list @t1 @t66 @t29 @t28) (or @t67 (tptp.c_HOL_Oord__class_Oless @t66 @t29 @t1) (not (tptp.c_HOL_Oord__class_Oless @t66 @t28 @t1)) @t65))) % 0.29/0.86 (assume @p20 (forall (@list @t1 @t29 @t66 @t28) (or @t70 (tptp.c_HOL_Oord__class_Oless @t29 @t66 @t1) (not (tptp.c_HOL_Oord__class_Oless @t28 @t66 @t1)) @t69))) % 0.29/0.86 (assume @p21 (forall @t33 (or @t32 @t71))) % 0.29/0.86 (assume @p22 (forall @t77 (or @t76 @t75 @t73))) % 0.29/0.86 (assume @p23 (forall @t77 (or @t76 @t73 @t75))) % 0.29/0.86 (assume @p24 (forall @t42 (or (tptp.c_Type_Otyping @t38 @t36 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t78 @t34 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t40))) % 0.29/0.86 (assume @p25 (forall @t81 (or (tptp.c_Wellfounded_Oaccp @t80 @t36 tptp.tc_Lambda_OdB) @t79))) % 0.29/0.86 (assume @p26 (forall @t83 (or @t82 (not (tptp.c_Wellfounded_Oaccp @t80 @t48 tptp.tc_Lambda_OdB))))) % 0.29/0.86 (assume @p27 (forall @t47 (or (not @t86) @t85))) % 0.29/0.86 (assume @p28 (forall @t47 (or (not @t85) @t86))) % 0.29/0.86 (assume @p29 (forall @t90 (= (tptp.c_Nat_Osize__class_Osize @t89 @t22) @t88))) % 0.29/0.86 (assume @p30 (forall (@list @t21 @t31 @t29 @t19 @t1) (= (tptp.c_List_Omap @t21 (tptp.c_List_Oreplicate @t31 @t29 @t19) @t19 @t1) (tptp.c_List_Oreplicate @t31 @t91 @t1)))) % 0.29/0.86 (assume @p31 (forall @t93 (= (tptp.c_List_Orev @t92 @t1) @t92))) % 0.29/0.86 (assume @p32 (forall (@list @t21 @t3 @t94 @t19 @t6 @t1) (= (tptp.c_List_Ofoldr @t21 @t95 @t6 @t19 @t1) (tptp.c_List_Ofoldr @t21 @t3 (tptp.c_List_Ofoldr @t21 @t94 @t6 @t19 @t1) @t19 @t1)))) % 0.29/0.86 (assume @p33 (forall @t100 (or (= @t99 @t92) @t98))) % 0.29/0.86 (assume @p34 (forall (@list @t21 @t3 @t19 @t1 @t94) (or (not (= @t89 @t102)) (= @t88 @t101)))) % 0.29/0.86 (assume @p35 (forall @t26 (= (tptp.c_Predicate_Oconversep @t103 @t1 @t1) @t103))) % 0.29/0.86 (assume @p36 (forall (@list @t3 @t94 @t1 @t31 @t29) (or (= (tptp.c_List_Olist__update @t104 @t31 @t29 @t1) (tptp.c_List_Oappend (tptp.c_List_Olist__update @t3 @t31 @t29 @t1) @t94 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t31 @t43 tptp.tc_nat))))) % 0.29/0.86 (assume @p37 (forall (@list @t3 @t94 @t1 @t12 @t29) (or (= (tptp.c_List_Olist__update @t104 @t12 @t29 @t1) (tptp.c_List_Oappend @t44 @t94 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t12 @t43 tptp.tc_nat))))) % 0.29/0.86 (assume @p38 (forall @t106 (= (tptp.c_Nat_Osize__class_Osize @t105 @t22) @t43))) % 0.29/0.86 (assume @p39 (forall (@list @t29) (not @t107))) % 0.29/0.86 (assume @p40 (forall @t62 (not (tptp.c_HOL_Oord__class_Oless @t31 @t31 tptp.tc_nat)))) % 0.29/0.86 (assume @p41 (forall @t109 (or @t67 @t108))) % 0.29/0.86 (assume @p42 (forall @t109 (or @t110 @t108))) % 0.29/0.86 (assume @p43 (forall @t109 (or @t70 @t108))) % 0.29/0.86 (assume @p44 (forall @t112 (or @t111 @t64 @t68 @t30))) % 0.29/0.86 (assume @p45 (forall @t113 (or @t110 @t30 @t64 @t68))) % 0.29/0.86 (assume @p46 (forall (@list @t31 @t27) (or @t115 @t114 @t71))) % 0.29/0.86 (assume @p47 (forall (@list @t96 @t31 @t27) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t96 @t31) @t27)) @t115 @t71 @t114))) % 0.29/0.86 (assume @p48 (forall (@list @t28 @t29) (or (tptp.c_HOL_Oord__class_Oless @t28 @t29 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t29 @t28 tptp.tc_nat) @t30))) % 0.29/0.86 (assume @p49 (forall @t112 (or @t110 @t64 @t68 @t30))) % 0.29/0.86 (assume @p50 (forall (@list @t31 @t29 @t1 @t13) (= (tptp.c_List_Oappend @t92 @t116 @t1) (tptp.c_List_Oappend @t116 @t92 @t1)))) % 0.29/0.86 (assume @p51 (forall @t112 (or @t110 @t64 @t30 @t68))) % 0.29/0.86 (assume @p52 (forall @t113 (or @t110 @t30 @t68 @t64))) % 0.29/0.86 (assume @p53 (forall (@list @t1 @t6 @t120 @t54 @t119) (or @t124 (tptp.c_HOL_Oord__class_Oless @t123 @t122 @t1) (not (tptp.c_HOL_Oord__class_Oless @t120 @t119 @t1)) @t118))) % 0.29/0.86 (assume @p54 (forall @t62 (or (tptp.c_HOL_Oord__class_Oless @t25 @t31 tptp.tc_nat) @t125))) % 0.29/0.86 (assume @p55 (not (tptp.c_HOL_Oord__class_Oless @t25 @t25 tptp.tc_nat))) % 0.29/0.86 (assume @p56 (forall @t93 (= (tptp.c_Nat_Osize__class_Osize @t92 @t22) @t31))) % 0.29/0.86 (assume @p57 (forall (@list @t21 @t29 @t3 @t19 @t6 @t1) (= (tptp.c_List_Ofoldr @t21 @t126 @t6 @t19 @t1) (tptp.hAPP @t91 (tptp.c_List_Ofoldr @t21 @t3 @t6 @t19 @t1))))) % 0.29/0.86 (assume @p58 (forall (@list @t48 @t1 @t19) (= (tptp.c_Predicate_Oconversep @t55 @t19 @t1) @t48))) % 0.29/0.86 (assume @p59 (forall @t132 (or @t131 (= @t128 @t127)))) % 0.29/0.86 (assume @p60 (forall @t132 (or @t131 (= @t130 @t129)))) % 0.29/0.86 (assume @p61 (forall @t135 (or @t124 @t134 @t118))) % 0.29/0.86 (assume @p62 (forall @t135 (or @t136 @t134 @t118))) % 0.29/0.86 (assume @p63 (forall @t137 (or @t136 @t117 (not @t134)))) % 0.29/0.86 (assume @p64 (forall @t141 (or @t124 @t140 @t118))) % 0.29/0.86 (assume @p65 (forall @t141 (or @t136 @t140 @t118))) % 0.29/0.86 (assume @p66 (forall @t137 (or @t136 @t117 (not @t140)))) % 0.29/0.86 (assume @p67 (forall @t47 (= (tptp.c_Nat_Osize__class_Osize @t142 @t22) @t43))) % 0.29/0.86 (assume @p68 (forall @t144 (or @t67 @t118 @t143))) % 0.29/0.86 (assume @p69 (forall @t113 (or @t110 @t69 @t65))) % 0.29/0.86 (assume @p70 (forall (@list @t48 @t28 @t1 @t6) (or (tptp.c_Wellfounded_Oaccp @t48 @t28 @t1) (not (tptp.hBOOL (tptp.hAPP @t145 @t6))) @t73))) % 0.29/0.86 (assume @p71 (forall @t112 (or @t70 @t65 @t69))) % 0.29/0.86 (assume @p72 (forall (@list @t48 @t6 @t1 @t54) (or @t72 @t61 (not @t76)))) % 0.29/0.86 (assume @p73 (forall (@list @t1 @t54 @t6) (or @t70 @t143 @t118))) % 0.29/0.86 (assume @p74 (forall @t151 (or @t150 @t149 @t147))) % 0.29/0.86 (assume @p75 (forall @t151 (or @t150 @t146 (not @t149)))) % 0.29/0.86 (assume @p76 (forall @t144 (or @t155 (tptp.c_HOL_Oord__class_Oless @t154 @t2 @t1) (not (tptp.c_HOL_Oord__class_Oless @t54 @t2 @t1)) @t153))) % 0.29/0.86 (assume @p77 (forall @t151 (or @t150 @t156 @t153))) % 0.29/0.86 (assume @p78 (forall @t151 (or @t150 @t152 @t157))) % 0.29/0.86 (assume @p79 (forall @t151 (or @t111 @t152 @t157))) % 0.29/0.86 (assume @p80 (forall @t151 (or @t111 @t156 @t153))) % 0.29/0.86 (assume @p81 (forall @t144 (or @t155 (tptp.c_HOL_Oord__class_Oless @t2 @t154 @t1) (not (tptp.c_HOL_Oord__class_Oless @t2 @t54 @t1)) @t147))) % 0.29/0.86 (assume @p82 (forall @t158 (or (not (tptp.class_Ring__and__Field_Oordered__semidom @t1)) (tptp.c_HOL_Oord__class_Oless @t54 @t123 @t1) (not (tptp.c_HOL_Oord__class_Oless @t54 @t120 @t1)) @t147))) % 0.29/0.86 (assume @p83 (forall @t159 (= @t45 @t23))) % 0.29/0.86 (assume @p84 (forall @t26 (= @t24 @t25))) % 0.29/0.86 (assume @p85 (forall @t109 (= @t23 @t45))) % 0.29/0.86 (assume @p86 (forall @t93 (or (not (= @t92 @t23)) @t125))) % 0.29/0.86 (assume @p87 (forall (@list @t1 @t31 @t29) (or (not (= @t23 @t92)) @t125))) % 0.29/0.86 (assume @p88 (forall @t47 (or (not (= @t43 @t25)) @t46))) % 0.29/0.86 (assume @p89 (forall (@list @t31 @t29 @t1 @t3) (= (tptp.c_List_Oappend @t92 @t160 @t1) (tptp.c_List_Olist_OCons @t29 (tptp.c_List_Oappend @t92 @t3 @t1) @t1)))) % 0.29/0.86 (assume @p90 (forall (@list @t1 @t3 @t6) (or @t161 (= (tptp.c_List_Ofoldr @t4 @t3 @t6 @t1 @t1) @t8)))) % 0.29/0.86 (assume @p91 (forall @t100 (or (= @t99 @t23) @t97))) % 0.29/0.86 (assume @p92 (forall (@list @t163 @t17 @t36 @t162 @t34) (or (tptp.c_Type_Otyping @t163 @t165 @t162) (not (tptp.c_Type_Otyping @t163 @t36 @t34)) (not (tptp.c_Type_Otyping @t163 @t17 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t34) @t162)))))) % 0.29/0.86 (assume @p93 (forall @t167 (or @t107 (= (tptp.c_Lambda_Osubst @t166 @t17 @t29) @t17)))) % 0.29/0.86 (assume @p94 (forall @t18 (or (= (tptp.c_Lambda_Osubst @t16 @t17 @t13) @t16) @t15 @t14))) % 0.29/0.86 (assume @p95 (forall (@list @t168 @t170 @t12) (or (= (tptp.c_Lambda_Osubst @t169 @t170 @t12) @t169) (not (tptp.c_HOL_Oord__class_Oless @t168 @t12 tptp.tc_nat))))) % 0.29/0.86 (assume @p96 (forall (@list @t38 @t36 @t35 @t34 @t171) (or @t39 @t172 (not (tptp.c_Type_Otyping @t38 @t36 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t171 @t34 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.29/0.86 (assume @p97 (forall @t177 (or @t176 (= (tptp.c_Map_Omap__upds @t27 @t175 @t94 @t1 @t19) @t173)))) % 0.29/0.86 (assume @p98 (forall @t177 (or @t176 (= (tptp.c_Map_Omap__upds @t27 @t3 (tptp.c_List_Oappend @t94 @t174 @t19) @t1 @t19) @t173)))) % 0.29/0.86 (assume @p99 (forall (@list @t12 @t13) (or (= (tptp.c_Lambda_Olift @t16 @t13) @t16) @t178))) % 0.29/0.86 (assume @p100 (forall (@list @t31 @t12 @t13) (or (= (tptp.c_Lambda_Oliftn @t31 @t16 @t13) @t16) @t178))) % 0.29/0.86 (assume @p101 (forall (@list @t12 @t29 @t1) (= (tptp.c_List_Oappend @t179 @t180 @t1) (tptp.c_List_Olist_OCons @t29 @t179 @t1)))) % 0.29/0.86 (assume @p102 (forall @t185 (or @t98 (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Osko__List__XCons__eq__filter__iff__1__3 @t96 @t182 @t1))) (= @t184 @t183)))) % 0.29/0.86 (assume @p103 (forall @t185 (or @t98 (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Osko__List__Xfilter__eq__Cons__iff__1__3 @t96 @t182 @t1))) (= @t183 @t184)))) % 0.29/0.86 (assume @p104 (forall @t190 (or (not (tptp.c_Wellfounded_Oaccp @t80 @t189 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t80 @t17 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t80 @t188 tptp.tc_Lambda_OdB)))) % 0.29/0.86 (assume @p105 (forall (@list @t3 @t29 @t94 @t1 @t28) (= (tptp.c_List_Olist__update (tptp.c_List_Oappend @t3 @t192 @t1) @t43 @t28 @t1) (tptp.c_List_Oappend @t3 @t191 @t1)))) % 0.29/0.86 (assume @p106 (forall (@list @t38 @t12 @t34 @t35) (or (tptp.c_Type_Otyping @t38 @t16 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t195 @t34 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t194))) % 0.29/0.86 (assume @p107 (forall (@list @t162 @t34 @t38 @t196 @t12 @t35 @t171) (or (= @t162 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t199 @t34 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t198 @t172 @t197))) % 0.29/0.86 (assume @p108 (forall @t204 (or @t203 (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xconcat__Xinduct__1 @t96) @t201 tptp.t_a)))) @t200))) % 0.29/0.86 (assume @p109 (forall @t204 (or @t203 (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xtake__Xinduct__1 @t96) @t205 tptp.t_a)))) @t200))) % 0.29/0.86 (assume @p110 (forall @t204 (or @t203 (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xmap__Xinduct__1 @t96) @t206 tptp.t_a)))) @t200))) % 0.29/0.86 (assume @p111 (forall @t204 (or @t203 (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__Xinduct__1 @t96) @t207 tptp.t_a)))) @t200))) % 0.29/0.86 (assume @p112 (forall @t204 (or @t203 (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_OCons (tptp.v_sko__List__XdropWhile__Xinduct__1 @t96) @t208 tptp.t_a)))) @t200))) % 0.29/0.86 (assume @p113 (forall @t204 (or @t203 (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xremove1__Xinduct__1 @t96) @t209 tptp.t_a)))) @t200))) % 0.29/0.86 (assume @p114 (forall @t204 (or @t203 (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xdistinct__Xinduct__1 @t96) @t210 tptp.t_a)))) @t200))) % 0.29/0.86 (assume @p115 (forall @t211 (or (tptp.c_Type_Otypings @t38 @t35 @t41) @t40))) % 0.29/0.86 (assume @p116 (forall @t211 (or (tptp.c_Type_Otypings @t38 @t35 @t78) @t40))) % 0.29/0.86 (assume @p117 (forall @t167 (or @t107 (= (tptp.c_Lambda_Osubstn @t166 @t17 @t29) (tptp.c_Lambda_Oliftn @t29 @t17 @t25))))) % 0.29/0.86 (assume @p118 (forall @t221 (or @t220 @t216 @t214 @t212))) % 0.29/0.86 (assume @p119 (forall @t221 (or @t220 @t222 @t214 @t212))) % 0.29/0.86 (assume @p120 (forall (@list @t38 @t35 @t171 @t36) (or (tptp.c_Type_Otypings @t38 @t35 (tptp.c_Type_Osko__Type__Xtypes__snocE__1__1 @t171 @t38 @t36 @t35)) @t224))) % 0.29/0.86 (assume @p121 (forall @t221 (or @t225 @t216 @t214 @t212))) % 0.29/0.86 (assume @p122 (forall @t221 (or @t220 @t222 @t226 @t212))) % 0.29/0.86 (assume @p123 (forall @t221 (or @t220 @t216 @t226 @t212))) % 0.29/0.86 (assume @p124 (forall @t221 (or @t225 @t222 @t214 @t212))) % 0.29/0.86 (assume @p125 (forall @t221 (or @t225 @t216 @t226 @t212))) % 0.29/0.86 (assume @p126 (forall (@list @t38 @t36 @t171 @t35) (or (tptp.c_Type_Otyping @t38 @t36 (tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 @t171 @t38 @t36 @t35)) @t224))) % 0.29/0.86 (assume @p127 (forall @t221 (or @t225 @t222 @t226 @t212))) % 0.29/0.86 (assume @p128 (forall @t230 (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t229) (tptp.c_ListApplication_Osko__ListApplication__Xlem__1__4 @t96) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) @t228 @t227))) % 0.29/0.86 (assume @p129 (forall @t230 (or @t227 (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs @t232) (tptp.c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4 @t96) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) @t231))) % 0.29/0.86 (assume @p130 (forall (@list @t17 @t36 @t233) (or (tptp.hBOOL (tptp.hAPP @t237 (tptp.hAPP @t236 @t36))) @t235))) % 0.29/0.86 (assume @p131 (forall (@list @t21 @t29 @t182 @t19 @t1) (= (tptp.c_List_Omap @t21 (tptp.c_List_Olist_OCons @t29 @t182 @t19) @t19 @t1) (tptp.c_List_Olist_OCons @t91 (tptp.c_List_Omap @t21 @t182 @t19 @t1) @t1)))) % 0.29/0.86 (assume @p132 (forall (@list @t21 @t182 @t181 @t19 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t21 @t182) (tptp.c_List_Omap @t21 @t181 @t19 @t1) @t1) (tptp.c_List_Omap @t21 (tptp.c_List_Olist_OCons @t182 @t181 @t19) @t19 @t1)))) % 0.29/0.86 (assume @p133 (forall (@list @t21 @t29 @t3 @t19 @t1) (= (tptp.c_List_Omap @t21 @t126 @t19 @t1) (tptp.c_List_Olist_OCons @t91 @t89 @t1)))) % 0.29/0.86 (assume @p134 (forall (@list @t240 @t238 @t6 @t202 @t19 @t1) (= (tptp.c_List_Olist_Olist__case @t240 @t238 (tptp.c_List_Olist_OCons @t6 @t202 @t19) @t1 @t19) @t239))) % 0.29/0.86 (assume @p135 (forall @t241 (= (tptp.c_List_Oremove1 @t29 @t160 @t1) @t3))) % 0.29/0.86 (assume @p136 (forall @t247 (or @t246 @t245 (not (= @t244 @t243)) (= @t28 @t66)))) % 0.29/0.86 (assume @p137 (forall @t137 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t249 @t248))) % 0.29/0.86 (assume @p138 (forall @t137 (or @t250 @t249 @t248))) % 0.29/0.86 (assume @p139 (forall @t158 (or @t250 (not (= @t251 @t139)) @t248))) % 0.29/0.86 (assume @p140 (forall (@list @t29 @t182 @t174 @t1) (= @t254 @t253))) % 0.29/0.86 (assume @p141 (forall (@list @t29 @t255 @t174 @t1) (= (tptp.c_List_Olist_OCons @t29 (tptp.c_List_Oappend @t255 @t174 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t29 @t255 @t1) @t174 @t1)))) % 0.29/0.86 (assume @p142 (forall (@list @t29 @t28 @t48 @t94 @t1 @t3) (or @t30 @t257 @t256))) % 0.29/0.86 (assume @p143 (forall (@list @t1 @t3 @t29) (or @t110 @t258 (not (tptp.c_List_Olinorder__class_Osorted @t160 @t1))))) % 0.29/0.86 (assume @p144 (forall (@list @t1 @t6 @t54 @t120 @t119) (or @t262 (= (tptp.hAPP @t261 @t260) (tptp.hAPP @t259 @t122))))) % 0.29/0.86 (assume @p145 (forall (@list @t17 @t36 @t233 @t263) (or (tptp.hBOOL (tptp.hAPP @t237 (tptp.hAPP @t236 @t263))) @t264 @t235))) % 0.29/0.86 (assume @p146 (forall (@list @t94 @t1 @t28) (= (tptp.c_List_Orev @t267 @t1) @t191))) % 0.29/0.86 (assume @p147 (forall @t270 (or @t269 @t268 @t264))) % 0.29/0.86 (assume @p148 (forall (@list @t36 @t13 @t17) (= (tptp.c_Lambda_Osubst @t271 @t17 @t13) @t36))) % 0.29/0.86 (assume @p149 (forall @t275 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t274) @t273)) @t272))) % 0.29/0.86 (assume @p150 (forall (@list @t29 @t36 @t1) (not (= (tptp.c_List_Olist_OCons @t29 @t36 @t1) @t36)))) % 0.29/0.86 (assume @p151 (forall (@list @t3 @t29 @t1) (not (= @t3 @t160)))) % 0.29/0.86 (assume @p152 (forall (@list @t29 @t3 @t1 @t28) (= (tptp.c_List_Olist__update @t160 @t25 @t28 @t1) @t276))) % 0.29/0.86 (assume @p153 (forall @t241 (= @t160 @t277))) % 0.29/0.86 (assume @p154 (forall (@list @t21 @t3 @t13 @t28 @t19 @t1) (= (tptp.c_List_Omap @t21 (tptp.c_List_Olist__update @t3 @t13 @t28 @t19) @t19 @t1) (tptp.c_List_Olist__update @t89 @t13 (tptp.hAPP @t21 @t28) @t1)))) % 0.29/0.86 (assume @p155 (forall @t159 (= @t180 @t278))) % 0.29/0.86 (assume @p156 (forall (@list @t94 @t3 @t48 @t1 @t28 @t29) (or @t283 @t282 @t281))) % 0.29/0.86 (assume @p157 (forall @t109 (or @t110 (tptp.c_List_Olinorder__class_Osorted @t180 @t1)))) % 0.29/0.86 (assume @p158 (forall @t284 (= (tptp.c_Transitive__Closure_Ortranclp @t49 @t1) @t49))) % 0.29/0.86 (assume @p159 (forall @t109 (or @t262 (= (tptp.hAPP @t285 @t29) @t29)))) % 0.29/0.86 (assume @p160 (forall @t151 (or @t287 @t286))) % 0.29/0.86 (assume @p161 (forall @t109 (or @t246 @t245 (= @t29 (tptp.hAPP @t242 @t2))))) % 0.29/0.86 (assume @p162 (forall @t151 (or @t287 @t288))) % 0.29/0.86 (assume @p163 (forall @t151 (or @t9 @t286))) % 0.29/0.86 (assume @p164 (forall @t151 (or @t9 @t288))) % 0.29/0.86 (assume @p165 (forall @t151 (or @t262 @t288))) % 0.29/0.86 (assume @p166 (forall @t151 (or @t262 @t286))) % 0.29/0.86 (assume @p167 (forall @t291 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t290) (tptp.c_Lambda_OdB_OAbs @t36))) @t289))) % 0.29/0.86 (assume @p168 (forall @t292 (= (tptp.c_List_Orev @t104 @t1) (tptp.c_List_Oappend @t266 @t142 @t1)))) % 0.29/0.86 (assume @p169 (forall (@list @t293 @t6 @t294 @t1) (or (= (tptp.hAPP @t296 @t294) @t6) @t295))) % 0.29/0.86 (assume @p170 (forall (@list @t293 @t294 @t6 @t1) (or (= (tptp.hAPP (tptp.hAPP @t293 @t294) @t6) @t6) @t295))) % 0.29/0.86 (assume @p171 (forall (@list @t96 @t3 @t94 @t1) (= (tptp.c_List_Ofilter @t96 @t104 @t1) (tptp.c_List_Oappend @t298 @t297 @t1)))) % 0.29/0.86 (assume @p172 (forall @t221 (or @t299 @t222 @t226 @t212))) % 0.29/0.86 (assume @p173 (forall @t26 (= @t300 @t23))) % 0.29/0.86 (assume @p174 (forall @t90 (or (not (= @t89 @t23)) @t301))) % 0.29/0.86 (assume @p175 (forall @t26 (= @t23 @t302))) % 0.29/0.86 (assume @p176 (forall @t26 (= @t23 @t303))) % 0.29/0.86 (assume @p177 (forall (@list @t94 @t3 @t1) (or (not (= @t94 @t104)) @t46))) % 0.29/0.86 (assume @p178 (forall @t292 (or (not (= @t104 @t94)) @t46))) % 0.29/0.86 (assume @p179 (forall @t292 (or (not (= @t3 @t104)) @t304))) % 0.29/0.86 (assume @p180 (forall @t292 (or (not (= @t104 @t3)) @t304))) % 0.29/0.86 (assume @p181 (forall @t159 (or (not (= @t306 @t23)) @t305))) % 0.29/0.86 (assume @p182 (forall @t106 (or (not (= @t105 @t23)) @t46))) % 0.29/0.86 (assume @p183 (forall @t11 (or (not (= @t23 @t142)) @t46))) % 0.29/0.86 (assume @p184 (forall (@list @t1 @t308 @t307) (not (= @t23 @t309)))) % 0.29/0.86 (assume @p185 (forall @t292 (or @t310 @t304))) % 0.29/0.86 (assume @p186 (forall @t292 (or @t310 @t46))) % 0.29/0.86 (assume @p187 (forall @t312 (or @t311 @t304))) % 0.29/0.86 (assume @p188 (forall @t312 (or @t311 @t46))) % 0.29/0.86 (assume @p189 (forall (@list @t48 @t3 @t1) (not (tptp.c_ListOrder_Ostep1 @t48 @t3 @t23 @t1)))) % 0.29/0.86 (assume @p190 (forall (@list @t48 @t1 @t3) (not (tptp.c_ListOrder_Ostep1 @t48 @t23 @t3 @t1)))) % 0.29/0.86 (assume @p191 (forall @t26 (= @t303 @t23))) % 0.29/0.86 (assume @p192 (forall (@list @t1 @t21 @t3 @t19) (or (not (= @t23 @t89)) @t301))) % 0.29/0.86 (assume @p193 (forall @t314 (= @t94 @t313))) % 0.29/0.86 (assume @p194 (forall (@list @t1 @t94) (= @t313 @t94))) % 0.29/0.86 (assume @p195 (forall @t47 (= @t3 @t315))) % 0.29/0.86 (assume @p196 (forall @t159 (= @t29 (tptp.c_List_Oappend @t23 @t29 @t1)))) % 0.29/0.86 (assume @p197 (forall @t47 (= @t315 @t3))) % 0.29/0.86 (assume @p198 (forall (@list @t316 @t1) (tptp.c_List_Olistsp @t316 @t23 @t1))) % 0.29/0.86 (assume @p199 (forall (@list @t96 @t240 @t238) (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_Olist__case @t240 @t238 (tptp.c_List_Olist_ONil tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t96 @t240))))) % 0.29/0.86 (assume @p200 (forall @t318 (= @t317 @t23))) % 0.29/0.86 (assume @p201 (forall (@list @t17 @t36 @t263) (or (tptp.hBOOL (tptp.hAPP @t237 (tptp.hAPP @t164 @t263))) @t264))) % 0.29/0.86 (assume @p202 (forall (@list @t29 @t3 @t1 @t94) (= (tptp.c_List_Oappend @t160 @t94 @t1) (tptp.c_List_Olist_OCons @t29 @t104 @t1)))) % 0.29/0.86 (assume @p203 (forall (@list @t29 @t182 @t1 @t174) (= @t253 @t254))) % 0.29/0.86 (assume @p204 (forall (@list @t1 @t28 @t174 @t29) (or @t110 (tptp.c_List_Olinorder__class_Osorted @t319 @t1) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons @t29 @t319 @t1) @t1))))) % 0.29/0.86 (assume @p205 (forall (@list @t3 @t1 @t28 @t94) (or (not (= @t142 @t191)) (= @t3 @t267)))) % 0.29/0.86 (assume @p206 (forall @t159 (= @t278 @t180))) % 0.29/0.86 (assume @p207 (forall (@list @t48 @t28 @t29 @t94 @t3 @t1) (or @t257 @t282 @t281))) % 0.29/0.86 (assume @p208 (forall @t241 (= (tptp.c_List_Orev @t160 @t1) (tptp.c_List_Oappend @t142 @t180 @t1)))) % 0.29/0.86 (assume @p209 (forall (@list @t29 @t3 @t1 @t96 @t94) (or (not (= @t160 @t297)) @t97))) % 0.29/0.86 (assume @p210 (forall (@list @t1 @t29 @t28 @t66 @t170) (or @t322 (not (= @t321 (tptp.hAPP @t320 @t170))) (= @t243 @t170)))) % 0.29/0.86 (assume @p211 (forall @t137 (or @t262 @t325))) % 0.29/0.86 (assume @p212 (forall @t327 (or @t262 (= @t326 (tptp.hAPP @t138 (tptp.hAPP @t7 @t119)))))) % 0.29/0.86 (assume @p213 (forall @t137 (or @t262 (= @t324 (tptp.hAPP @t259 @t54))))) % 0.29/0.86 (assume @p214 (forall @t327 (or @t262 (= @t326 (tptp.hAPP @t259 @t119))))) % 0.29/0.86 (assume @p215 (forall @t137 (or @t161 @t325))) % 0.29/0.86 (assume @p216 (forall @t137 (or @t287 (= @t323 (tptp.hAPP @t121 @t123))))) % 0.29/0.86 (assume @p217 (forall @t137 (or @t287 @t325))) % 0.29/0.86 (assume @p218 (forall @t247 (or @t322 (= @t321 (tptp.hAPP @t320 @t243))))) % 0.29/0.86 (assume @p219 (forall @t247 (or @t262 (= @t321 (tptp.hAPP (tptp.hAPP @t4 @t244) @t66))))) % 0.29/0.86 (assume @p220 (forall @t328 (= (tptp.c_List_Oremdups @t298 @t1) (tptp.c_List_Ofilter @t96 @t84 @t1)))) % 0.29/0.86 (assume @p221 (forall @t26 (or @t150 (= (tptp.hAPP @t285 @t2) @t2)))) % 0.29/0.86 (assume @p222 (forall @t330 (or (= @t329 (tptp.c_List_Olist_OCons @t29 @t298 @t1)) @t98))) % 0.29/0.86 (assume @p223 (forall (@list @t29 @t1 @t3) (or (not (= @t180 @t142)) @t331))) % 0.29/0.86 (assume @p224 (forall (@list @t36 @t17 @t31) (= (tptp.c_Lambda_Osubstn @t36 @t17 @t31) (tptp.c_Lambda_Osubst @t36 (tptp.c_Lambda_Oliftn @t31 @t17 @t25) @t31)))) % 0.29/0.86 (assume @p225 (forall (@list @t48 @t94 @t3 @t1 @t29) (or @t333 (tptp.c_ListOrder_Ostep1 @t48 (tptp.c_List_Oappend @t94 @t29 @t1) @t332 @t1)))) % 0.29/0.86 (assume @p226 (forall (@list @t48 @t29 @t334 @t1 @t196) (or (tptp.c_ListOrder_Ostep1 @t48 (tptp.c_List_Oappend @t29 @t334 @t1) (tptp.c_List_Oappend @t29 @t196 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t48 @t334 @t196 @t1))))) % 0.29/0.86 (assume @p227 (forall (@list @t17 @t233) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t234 @t290) (tptp.c_Lambda_OdB_OAbs @t233))) @t235))) % 0.29/0.86 (assume @p228 (forall (@list @t316 @t3 @t1 @t94) (or @t337 @t336))) % 0.29/0.86 (assume @p229 (forall (@list @t316 @t94 @t1 @t3) (or @t338 @t336))) % 0.29/0.86 (assume @p230 (forall @t343 (= (tptp.c_Lambda_OdB_OdB__case @t240 @t238 @t340 @t342 @t1) @t341))) % 0.29/0.86 (assume @p231 (forall @t346 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t345) @t344)) @t272))) % 0.29/0.86 (assume @p232 (forall (@list @t29 @t28 @t3 @t94 @t48 @t1) (or @t30 @t347 @t256))) % 0.29/0.86 (assume @p233 (forall (@list @t48 @t28 @t182 @t29 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t145 @t182))) (tptp.c_ListOrder_Ostep1 @t48 (tptp.c_List_Olist_OCons @t28 @t29 @t1) (tptp.c_List_Olist_OCons @t182 @t29 @t1) @t1)))) % 0.29/0.86 (assume @p234 (forall @t90 (= (tptp.c_List_Orev @t89 @t1) (tptp.c_List_Omap @t21 (tptp.c_List_Orev @t3 @t19) @t19 @t1)))) % 0.29/0.86 (assume @p235 (forall (@list @t94 @t3 @t1 @t174) (or (not (= (tptp.c_List_Oappend @t94 @t3 @t1) (tptp.c_List_Oappend @t174 @t3 @t1))) @t348))) % 0.29/0.86 (assume @p236 (forall @t349 (or (not (= @t104 @t175)) @t348))) % 0.29/0.86 (assume @p237 (forall (@list @t48 @t1 @t6) (tptp.hBOOL (tptp.hAPP @t350 @t6)))) % 0.29/0.86 (assume @p238 (forall (@list @t48 @t1 @t29) (tptp.hBOOL (tptp.hAPP @t351 @t29)))) % 0.29/0.86 (assume @p239 (forall (@list @t48 @t1 @t29 @t66 @t28) (or (tptp.hBOOL (tptp.hAPP @t351 @t66)) (not (tptp.hBOOL (tptp.hAPP @t50 @t66))) (not @t352)))) % 0.29/0.86 (assume @p240 (forall (@list @t96 @t94 @t1 @t29 @t3) (or (not (= @t297 @t160)) @t97))) % 0.29/0.86 (assume @p241 (forall @t221 (or @t299 @t222 @t214 @t212))) % 0.29/0.86 (assume @p242 (forall (@list @t31 @t21 @t3 @t19 @t1) (= (tptp.c_List_Orotate @t31 @t89 @t1) (tptp.c_List_Omap @t21 (tptp.c_List_Orotate @t31 @t3 @t19) @t19 @t1)))) % 0.29/0.86 (assume @p243 (forall @t354 (or @t353 @t272))) % 0.29/0.86 (assume @p244 (forall @t47 (= @t3 @t355))) % 0.29/0.86 (assume @p245 (forall @t314 (= (tptp.c_List_Orev @t266 @t1) @t94))) % 0.29/0.86 (assume @p246 (forall @t47 (= @t355 @t3))) % 0.29/0.86 (assume @p247 (forall (@list @t1 @t6 @t120) (or @t262 (= @t123 @t139)))) % 0.29/0.86 (assume @p248 (forall @t144 (or @t287 (= @t154 @t251)))) % 0.29/0.86 (assume @p249 (forall @t113 (or @t262 (= @t244 (tptp.hAPP @t320 @t29))))) % 0.29/0.86 (assume @p250 (forall (@list @t48 @t28 @t29 @t94 @t1 @t3) (or @t257 @t356 @t281))) % 0.29/0.86 (assume @p251 (forall (@list @t3 @t1 @t29) (or (not (= @t142 @t180)) @t331))) % 0.29/0.86 (assume @p252 (forall (@list @t1 @t29 @t6) (or @t246 @t245 (not (= @t29 (tptp.hAPP @t242 @t6))) @t357))) % 0.29/0.86 (assume @p253 (forall @t346 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t234 @t345) @t344)) @t358))) % 0.29/0.86 (assume @p254 (forall @t354 (or @t353 @t358))) % 0.29/0.86 (assume @p255 (forall @t151 (or @t150 (not (= @t148 @t2)) @t357))) % 0.29/0.86 (assume @p256 (forall @t53 (or @t352 @t359))) % 0.29/0.86 (assume @p257 (forall (@list @t1 @t29 @t174) (or @t9 (= (tptp.hAPP @t242 (tptp.c_List_Ofoldl @t4 @t2 @t174 @t1 @t1)) (tptp.c_List_Ofoldl @t4 @t29 @t174 @t1 @t1))))) % 0.29/0.86 (assume @p258 (forall (@list @t48 @t29 @t3 @t1 @t28 @t94) (or (tptp.c_List_Olistrelp @t48 @t160 @t191 @t1) (not (tptp.c_List_Olistrelp @t48 @t3 @t94 @t1)) @t359))) % 0.29/0.86 (assume @p259 (forall (@list @t339 @t360) (or (not (= @t342 @t361)) (= @t339 @t360)))) % 0.29/0.86 (assume @p260 (forall (@list @t29 @t28 @t3 @t1) (or (= (tptp.c_List_Oremove1 @t29 @t276 @t1) (tptp.c_List_Olist_OCons @t28 (tptp.c_List_Oremove1 @t29 @t3 @t1) @t1)) @t30))) % 0.29/0.86 (assume @p261 (forall @t221 (or @t299 @t216 @t214 @t212))) % 0.29/0.86 (assume @p262 (forall @t291 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t362) (tptp.c_Lambda_Osubst @t17 @t36 @t25))))) % 0.29/0.86 (assume @p263 (forall @t275 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t234 @t274) @t273)) @t358))) % 0.29/0.86 (assume @p264 (forall @t363 (or @t282 @t347 @t256))) % 0.29/0.86 (assume @p265 (forall (@list @t293 @t6 @t54 @t120 @t1) (or (= (tptp.hAPP (tptp.hAPP @t293 (tptp.hAPP @t296 @t54)) @t120) (tptp.hAPP @t296 (tptp.hAPP (tptp.hAPP @t293 @t54) @t120))) @t364))) % 0.29/0.86 (assume @p266 (forall (@list @t21 @t3 @t94 @t19 @t1) (= (tptp.c_List_Omap @t21 @t95 @t19 @t1) (tptp.c_List_Oappend @t89 @t102 @t1)))) % 0.29/0.86 (assume @p267 (forall (@list @t29 @t96 @t3 @t1) (or (= (tptp.c_List_Oremove1 @t29 @t298 @t1) @t298) @t97))) % 0.29/0.86 (assume @p268 (forall (@list @t3 @t1 @t94) (or (not (= @t142 @t266)) @t347))) % 0.29/0.86 (assume @p269 (forall (@list @t94 @t3 @t28 @t29 @t48 @t1) (or @t283 @t356 @t281))) % 0.29/0.86 (assume @p270 (forall (@list @t316 @t3 @t94 @t1) (or @t335 (not @t338) (not @t337)))) % 0.29/0.86 (assume @p271 (forall @t343 (= (tptp.c_Lambda_OdB_OdB__rec @t240 @t238 @t340 @t342 @t1) (tptp.hAPP @t341 (tptp.c_Lambda_OdB_OdB__rec @t240 @t238 @t340 @t339 @t1))))) % 0.29/0.86 (assume @p272 (forall (@list @t36 @t13) (= (tptp.c_Lambda_Oliftn @t25 @t36 @t13) @t36))) % 0.29/0.86 (assume @p273 (forall @t26 (or @t365 (tptp.c_OrderedGroup_Osemigroup__add @t4 @t1)))) % 0.29/0.86 (assume @p274 (forall (@list @t36 @t17) (= (tptp.c_Lambda_Osubstn @t36 @t17 @t25) (tptp.c_Lambda_Osubst @t36 @t17 @t25)))) % 0.29/0.86 (assume @p275 (forall (@list @t96 @t240 @t238 @t340 @t339) (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_Lambda_OdB_OdB__case @t240 @t238 @t340 @t342 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t96 @t341))))) % 0.29/0.86 (assume @p276 (forall (@list @t96 @t240 @t238 @t340 @t182) (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_Lambda_OdB_OdB__case @t240 @t238 @t340 (tptp.c_Lambda_OdB_OAbs @t182) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t96 (tptp.hAPP @t340 @t182)))))) % 0.29/0.86 (assume @p277 (forall (@list @t1 @t29 @t3) (= @t277 @t160))) % 0.29/0.86 (assume @p278 (forall @t367 (or @t366 (= @t6 @t308)))) % 0.29/0.86 (assume @p279 (forall @t367 (or @t366 (= @t202 @t307)))) % 0.29/0.86 (assume @p280 (forall @t270 (or @t269 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t36) @t263))) @t268))) % 0.29/0.86 (assume @p281 (forall @t363 (or @t282 @t257 @t256))) % 0.29/0.86 (assume @p282 (forall (@list @t48 @t29 @t94 @t1 @t3) (or (tptp.c_ListOrder_Ostep1 @t48 @t192 @t160 @t1) @t333))) % 0.29/0.86 (assume @p283 (forall @t312 (or @t110 @t258 @t368))) % 0.29/0.86 (assume @p284 (forall (@list @t1 @t94 @t3) (or @t110 (tptp.c_List_Olinorder__class_Osorted @t94 @t1) @t368))) % 0.29/0.86 (assume @p285 (forall (@list @t3 @t12 @t29 @t1 @t369 @t370) (or (= (tptp.c_List_Olist__update @t44 @t369 @t370 @t1) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t3 @t369 @t370 @t1) @t12 @t29 @t1)) (= @t12 @t369)))) % 0.29/0.86 (assume @p286 (forall (@list @t1 @t371) (or @t110 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremdups @t371 @t1) @t1) (not (tptp.c_List_Olinorder__class_Osorted @t371 @t1))))) % 0.29/0.86 (assume @p287 (forall @t330 (or (= @t329 @t298) @t97))) % 0.29/0.86 (assume @p288 (forall @t328 (= (tptp.c_List_Orev @t298 @t1) (tptp.c_List_Ofilter @t96 @t142 @t1)))) % 0.29/0.86 (assume @p289 (forall @t373 (or @t372 @t347))) % 0.29/0.86 (assume @p290 (forall @t373 (or @t372 @t30))) % 0.29/0.86 (assume @p291 (forall (@list @t96 @t240 @t238 @t6 @t202) (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_Olist__case @t240 @t238 (tptp.c_List_Olist_OCons @t6 @t202 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t96 @t239))))) % 0.29/0.86 (assume @p292 (forall (@list @t96 @t240 @t238 @t182 @t181) (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_List_Olist_Olist__case @t240 @t238 (tptp.c_List_Olist_OCons @t182 @t181 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t96 (tptp.hAPP (tptp.hAPP @t238 @t182) @t181)))))) % 0.29/0.86 (assume @p293 (forall (@list @t3 @t12 @t29 @t1 @t28) (= (tptp.c_List_Olist__update @t44 @t12 @t28 @t1) (tptp.c_List_Olist__update @t3 @t12 @t28 @t1)))) % 0.29/0.86 (assume @p294 (forall @t349 (= (tptp.c_List_Oappend @t104 @t174 @t1) (tptp.c_List_Oappend @t3 (tptp.c_List_Oappend @t94 @t174 @t1) @t1)))) % 0.29/0.86 (assume @p295 (forall (@list @t3 @t255 @t196 @t1) (= (tptp.c_List_Oappend @t3 (tptp.c_List_Oappend @t255 @t196 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t3 @t255 @t1) @t196 @t1)))) % 0.29/0.86 (assume @p296 (forall (@list @t174 @t29 @t1 @t94) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t174 @t29 @t1) @t94 @t1) (tptp.c_List_Oappend @t174 (tptp.c_List_Oappend @t29 @t94 @t1) @t1)))) % 0.29/0.86 (assume @p297 (forall (@list @t3 @t29 @t35 @t1) (= (tptp.c_List_Oappend @t3 (tptp.c_List_Oappend @t29 @t35 @t1) @t1) (tptp.c_List_Oappend @t332 @t35 @t1)))) % 0.29/0.86 (assume @p298 (forall @t10 (or @t110 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremove1 @t6 @t3 @t1) @t1) (not @t258)))) % 0.29/0.86 (assume @p299 (forall @t375 (or @t374 (not (tptp.hBOOL (tptp.hAPP @t74 @t120))) @t61))) % 0.29/0.86 (assume @p300 (forall @t375 (or @t374 (not (tptp.hBOOL (tptp.hAPP @t57 @t120))) (not (tptp.hBOOL (tptp.hAPP @t350 @t54)))))) % 0.29/0.86 (assume @p301 (forall @t204 (or @t203 (tptp.hBOOL (tptp.hAPP @t96 @t208)) @t200))) % 0.29/0.86 (assume @p302 (forall @t204 (or @t203 (tptp.hBOOL (tptp.hAPP @t96 @t205)) @t200))) % 0.29/0.86 (assume @p303 (forall @t26 (or @t110 (tptp.c_List_Olinorder__class_Osorted @t23 @t1)))) % 0.29/0.86 (assume @p304 (forall @t318 (= (tptp.c_List_Ofiltermap @t21 @t20 @t19 @t1) @t23))) % 0.29/0.86 (assume @p305 (forall @t109 (or (not (= @t23 @t306)) @t305))) % 0.29/0.86 (assume @p306 (forall (@list @t96 @t1) (= (tptp.c_List_Ofilter @t96 @t23 @t1) @t23))) % 0.29/0.86 (assume @p307 (forall (@list @t1 @t13 @t29) (= (tptp.c_List_Olist__update @t23 @t13 @t29 @t1) @t23))) % 0.29/0.86 (assume @p308 (forall (@list @t1 @t12 @t28) (= (tptp.c_List_Olist__update @t23 @t12 @t28 @t1) @t23))) % 0.29/0.86 (assume @p309 (forall (@list @t1 @t12 @t376) (= (tptp.c_List_Olist__update @t23 @t12 @t376 @t1) @t23))) % 0.29/0.86 (assume @p310 (forall @t204 (or @t203 (tptp.hBOOL (tptp.hAPP @t96 @t201)) @t200))) % 0.29/0.86 (assume @p311 (forall (@list @t29 @t182 @t1) (not (= @t252 @t23)))) % 0.29/0.86 (assume @p312 (forall (@list @t308 @t307 @t1) (not (= @t309 @t23)))) % 0.29/0.86 (assume @p313 (forall @t159 (= (tptp.c_List_Oremove1 @t29 @t23 @t1) @t23))) % 0.29/0.86 (assume @p314 (forall @t204 (or @t203 (tptp.hBOOL (tptp.hAPP @t96 @t210)) @t200))) % 0.29/0.86 (assume @p315 (forall (@list @t27 @t377 @t19 @t1) (= (tptp.c_Map_Omap__upds @t27 @t377 @t20 @t1 @t19) @t27))) % 0.29/0.86 (assume @p316 (forall (@list @t27 @t1 @t378 @t19) (= (tptp.c_Map_Omap__upds @t27 @t23 @t378 @t1 @t19) @t27))) % 0.29/0.86 (assume @p317 (forall @t204 (or @t203 (tptp.hBOOL (tptp.hAPP @t96 @t209)) @t200))) % 0.29/0.86 (assume @p318 (forall (@list @t240 @t238 @t19 @t1) (= (tptp.c_List_Olist_Olist__case @t240 @t238 @t20 @t1 @t19) @t240))) % 0.29/0.86 (assume @p319 (forall @t47 (or (not (= @t142 @t23)) @t46))) % 0.29/0.86 (assume @p320 (forall (@list @t31 @t1) (= (tptp.c_List_Orotate @t31 @t23 @t1) @t23))) % 0.29/0.86 (assume @p321 (forall @t204 (or @t203 (tptp.hBOOL (tptp.hAPP @t96 @t207)) @t200))) % 0.29/0.86 (assume @p322 (forall (@list @t1 @t21 @t19) (= @t23 @t317))) % 0.29/0.86 (assume @p323 (forall @t26 (= @t23 @t300))) % 0.29/0.86 (assume @p324 (forall @t284 (tptp.c_List_Olistrelp @t48 @t23 @t23 @t1))) % 0.29/0.86 (assume @p325 (forall @t204 (or @t203 (tptp.hBOOL (tptp.hAPP @t96 @t206)) @t200))) % 0.29/0.86 (assume @p326 (forall @t26 (= @t302 @t23))) % 0.29/0.86 (assume @p327 (forall (@list @t3 @t13 @t29 @t1) (or (not (= (tptp.c_List_Olist__update @t3 @t13 @t29 @t1) @t23)) @t46))) % 0.29/0.86 (assume @p328 (forall @t380 (= (tptp.c_Lambda_Osubst @t379 @t17 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t36 @t17 @t13)) (tptp.c_Lambda_Osubst @t170 @t17 @t13))))) % 0.29/0.86 (assume @p329 (forall (@list @t382 @t381 @t360) (not (= @t383 @t361)))) % 0.29/0.86 (assume @p330 (forall (@list @t360 @t382 @t381) (not (= @t361 @t383)))) % 0.29/0.86 (assume @p331 (forall (@list @t96 @t240 @t238 @t340 @t181 @t384) (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_Lambda_OdB_OdB__case @t240 @t238 @t340 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t181) @t384) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t96 (tptp.hAPP (tptp.hAPP @t238 @t181) @t384)))))) % 0.29/0.86 (assume @p332 (forall (@list @t96 @t240 @t238 @t340 @t382 @t381) (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_Lambda_OdB_OdB__case @t240 @t238 @t340 @t383 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t96 @t385))))) % 0.29/0.86 (assume @p333 (forall (@list @t17 @t36 @t13) (= (tptp.c_Lambda_Olift @t165 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t17 @t13)) @t271)))) % 0.29/0.86 (assume @p334 (forall @t386 (= (tptp.c_Lambda_OdB_OdB__case @t240 @t238 @t340 @t383 @t1) @t385))) % 0.29/0.86 (assume @p335 (forall @t386 (= (tptp.c_Lambda_OdB_OdB__rec @t240 @t238 @t340 @t383 @t1) (tptp.hAPP (tptp.hAPP @t385 (tptp.c_Lambda_OdB_OdB__rec @t240 @t238 @t340 @t382 @t1)) (tptp.c_Lambda_OdB_OdB__rec @t240 @t238 @t340 @t381 @t1))))) % 0.29/0.86 (assume @p336 (forall (@list @t170 @t17 @t36) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t387 @t17)) (tptp.hAPP @t387 @t36))) @t289))) % 0.29/0.86 (assume @p337 (forall (@list @t17 @t170 @t36) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t164 @t170)) @t379)) @t289))) % 0.29/0.86 (assume @p338 (forall (@list @t31 @t17 @t36 @t13) (= (tptp.c_Lambda_Oliftn @t31 @t165 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t31 @t17 @t13)) (tptp.c_Lambda_Oliftn @t31 @t36 @t13))))) % 0.29/0.86 (assume @p339 (forall @t380 (= (tptp.c_Lambda_Osubstn @t379 @t17 @t13) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t36 @t17 @t13)) (tptp.c_Lambda_Osubstn @t170 @t17 @t13))))) % 0.29/0.86 (assume @p340 (forall @t390 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t234 @t389) @t388)) @t358))) % 0.29/0.86 (assume @p341 (forall (@list @t48 @t391 @t186) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t48 @t391 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t389)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t391 @t186 tptp.tc_Lambda_OdB))))) % 0.29/0.86 (assume @p342 (forall @t81 (= @t36 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__2 @t36) (tptp.c_ListApplication_Osko__ListApplication__Xex__head__tail__1__1 @t36) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.86 (assume @p343 (forall (@list @t293 @t29 @t28 @t174 @t1) (or (= (tptp.c_List_Ofoldl @t293 (tptp.hAPP @t392 @t28) @t174 @t1 @t1) (tptp.hAPP @t392 (tptp.c_List_Ofoldl @t293 @t28 @t174 @t1 @t1))) @t364))) % 0.29/0.86 (assume @p344 (forall (@list @t1 @t29 @t28 @t174) (or @t365 (= (tptp.c_List_Ofoldl @t4 @t244 @t174 @t1 @t1) (tptp.hAPP @t242 (tptp.c_List_Ofoldl @t4 @t28 @t174 @t1 @t1)))))) % 0.29/0.86 (assume @p345 (forall (@list @t293 @t29 @t294 @t174 @t1) (or (= (tptp.hAPP @t392 (tptp.c_List_Ofoldl @t293 @t294 @t174 @t1 @t1)) (tptp.c_List_Ofoldl @t293 @t29 @t174 @t1 @t1)) @t295))) % 0.29/0.86 (assume @p346 (forall (@list @t21 @t6 @t29 @t3 @t19 @t1) (= (tptp.c_List_Ofoldl @t21 @t6 @t126 @t1 @t19) (tptp.c_List_Ofoldl @t21 (tptp.hAPP (tptp.hAPP @t21 @t6) @t29) @t3 @t1 @t19)))) % 0.29/0.86 (assume @p347 (forall (@list @t21 @t6 @t3 @t94 @t19 @t1) (= (tptp.c_List_Ofoldl @t21 @t6 @t95 @t1 @t19) (tptp.c_List_Ofoldl @t21 (tptp.c_List_Ofoldl @t21 @t6 @t3 @t1 @t19) @t94 @t1 @t19)))) % 0.29/0.86 (assume @p348 (forall @t230 (or (tptp.hBOOL (tptp.hAPP @t96 @t229)) @t228 @t227))) % 0.29/0.86 (assume @p349 (forall (@list @t38 @t35 @t34 @t12) (or (tptp.c_Type_Otypings @t38 @t35 @t195) @t194))) % 0.29/0.86 (assume @p350 (forall @t230 (or @t227 (tptp.hBOOL (tptp.hAPP @t96 @t232)) @t231))) % 0.29/0.86 (assume @p351 (forall (@list @t38 @t196 @t34 @t162 @t12 @t35 @t171) (or (tptp.c_Type_Otypings @t38 @t196 @t199) @t198 @t172 @t197))) % 0.29/0.86 (assume @p352 (forall (@list @t391 @t31 @t376) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t391 @t396 tptp.tc_Lambda_OdB) @t395))) % 0.29/0.86 (assume @p353 (forall @t190 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t188)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t17))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t189)))))) % 0.29/0.86 (assume @p354 (forall @t221 (or @t299 @t216 @t226 @t212))) % 0.29/0.86 (assume @p355 (forall (@list @t360 @t397) (not (= @t361 @t398)))) % 0.29/0.86 (assume @p356 (forall (@list @t96 @t240 @t238 @t340 @t399) (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_Lambda_OdB_OdB__case @t240 @t238 @t340 (tptp.c_Lambda_OdB_OVar @t399) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t96 (tptp.hAPP @t240 @t399)))))) % 0.29/0.86 (assume @p357 (forall (@list @t96 @t240 @t238 @t340 @t397) (or (not (tptp.hBOOL (tptp.hAPP @t96 (tptp.c_Lambda_OdB_OdB__case @t240 @t238 @t340 @t398 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t96 @t400))))) % 0.29/0.86 (assume @p358 (forall (@list @t13 @t170) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t13) @t170 @t13) @t170))) % 0.29/0.86 (assume @p359 (forall (@list @t12 @t36) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t16) @t36))))) % 0.29/0.86 (assume @p360 (forall @t401 (= (tptp.c_Lambda_OdB_OdB__rec @t240 @t238 @t340 @t398 @t1) @t400))) % 0.29/0.86 (assume @p361 (forall (@list @t397 @t360) (not (= @t398 @t361)))) % 0.29/0.86 (assume @p362 (forall (@list @t38 @t12 @t34) (or (= (tptp.hAPP @t38 @t12) @t34) (not (tptp.c_Type_Otyping @t38 @t16 @t34))))) % 0.29/0.86 (assume @p363 (forall @t401 (= (tptp.c_Lambda_OdB_OdB__case @t240 @t238 @t340 @t398 @t1) @t400))) % 0.29/0.86 (assume @p364 (forall (@list @t163 @t29) (tptp.c_Type_Otyping @t163 @t166 (tptp.hAPP @t163 @t29)))) % 0.29/0.86 (assume @p365 (forall @t407 (or @t406 (= @t35 (tptp.c_List_Oappend @t404 @t403 tptp.tc_Lambda_OdB)) @t402))) % 0.29/0.86 (assume @p366 (forall (@list @t36 @t12) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift @t36 @t12))) @t79))) % 0.29/0.86 (assume @p367 (forall @t83 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t187)) @t408))) % 0.29/0.86 (assume @p368 (forall (@list @t376 @t31 @t391) (or (= @t376 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t393 @t396 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t395))) % 0.29/0.86 (assume @p369 (forall (@list @t29 @t17 @t36) (or (= @t409 @t223) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t36 @t29 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t17) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t36 @t409 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.29/0.86 (assume @p370 (forall (@list @t36 @t35 @t170) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t37) @t170) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t36 (tptp.c_List_Oappend @t35 (tptp.c_List_Olist_OCons @t170 @t223 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.86 (assume @p371 (forall (@list @t48 @t17 @t182) (or (not (= @t48 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t405 @t182 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t405 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t405 (tptp.c_List_Oappend @t182 @t403 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.29/0.86 (assume @p372 (forall @t411 (or @t410 (= @t17 @t187)))) % 0.29/0.86 (assume @p373 (forall @t414 (or @t413 @t412))) % 0.29/0.86 (assume @p374 (forall @t414 (or @t413 @t415))) % 0.29/0.86 (assume @p375 (forall @t390 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t389) @t388)) @t272))) % 0.29/0.86 (assume @p376 (forall @t190 (or @t416 (= @t187 @t17)))) % 0.29/0.86 (assume @p377 (forall (@list @t48 @t12 @t168) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t48 @t16 @t168))) @t408))) % 0.29/0.86 (assume @p378 (forall (@list @t34 @t162 @t38 @t12 @t35) (or (= @t34 @t162) @t198 @t194))) % 0.29/0.86 (assume @p379 (forall (@list @t31 @t35 @t48 @t186) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t393 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t187 @t186 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.29/0.86 (assume @p380 (forall (@list @t17 @t36 @t31 @t186) (not (= @t362 @t417)))) % 0.29/0.86 (assume @p381 (forall @t190 (or @t416 @t418))) % 0.29/0.86 (assume @p382 (forall @t83 (= @t187 @t419))) % 0.29/0.86 (assume @p383 (forall @t407 (or @t406 (= @t48 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t36 @t404 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t402))) % 0.29/0.86 (assume @p384 (forall @t411 (or @t410 @t418))) % 0.29/0.86 (assume @p385 (forall @t83 (= @t419 @t187))) % 0.29/0.86 (assume @p386 (forall (@list @t31 @t391) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t394)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t391 tptp.tc_Lambda_OdB))))) % 0.29/0.86 (assume @p387 (forall (@list @t48 @t17) (= @t405 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t405 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.86 (assume @p388 (forall (@list @t397 @t420) (or (not (= @t398 (tptp.c_Lambda_OdB_OVar @t420))) (= @t397 @t420)))) % 0.29/0.86 (assume @p389 (forall @t423 (or @t422 @t71))) % 0.29/0.86 (assume @p390 (forall @t423 (or @t422 @t415))) % 0.29/0.86 (assume @p391 (forall (@list @t48 @t17 @t36) (or (not (= @t405 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t36 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t405 @t36)))) % 0.29/0.86 (assume @p392 (forall @t428 (or @t427 (= @t382 @t424)))) % 0.29/0.86 (assume @p393 (forall @t428 (or @t427 (= @t381 @t425)))) % 0.29/0.86 (assume @p394 (forall @t430 (or @t429 (= @t421 @t17)))) % 0.29/0.86 (assume @p395 (forall (@list @t397 @t424 @t425) (not (= @t398 @t426)))) % 0.29/0.86 (assume @p396 @t432) % 0.29/0.86 (assume @p397 (forall @t63 (= @t421 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t421 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.86 (assume @p398 (forall (@list @t48 @t35 @t17) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t48 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t17 @t35 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t412))) % 0.29/0.86 (assume @p399 (forall @t430 (or @t429 @t418))) % 0.29/0.86 (assume @p400 (forall (@list @t424 @t425 @t397) (not (= @t426 @t398)))) % 0.29/0.86 (assume @p401 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t433 @t223 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.29/0.86 (assume @p402 (not @t435)) % 0.29/0.86 (assume @p403 (forall @t439 (or (tptp.class_Orderings_Opreorder @t438) (not (tptp.class_Orderings_Opreorder @t436))))) % 0.29/0.86 (assume @p404 (forall @t439 (or (tptp.class_Orderings_Oorder @t438) (not (tptp.class_Orderings_Oorder @t436))))) % 0.29/0.86 (assume @p405 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.29/0.86 (assume @p406 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.29/0.86 (assume @p407 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.29/0.86 (assume @p408 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.29/0.86 (assume @p409 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.29/0.86 (assume @p410 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.29/0.86 (assume @p411 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.29/0.86 (assume @p412 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.29/0.86 (assume @p413 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.29/0.86 (assume @p414 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.29/0.86 (assume @p415 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.29/0.86 (assume @p416 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.29/0.86 (assume @p417 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.29/0.86 (assume @p418 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.29/0.86 (assume @p419 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.29/0.86 (assume @p420 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.29/0.86 (assume @p421 (forall @t109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t103 @t29) @t29)))) % 0.29/0.86 (assume @p422 (forall (@list @t441 @t440 @t1) (or (= @t441 @t440) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t103 @t441) @t440)))))) % 0.29/0.86 (step @p423 :rule evaluate :args ((= false true))) % 0.29/0.86 (step @p424 :rule true_intro :premises (@p401)) % 0.29/0.86 (step @p425 :rule eq-symm :args (@t431 @t6)) % 0.29/0.86 (step @p426 :rule cong :premises (@p425) :args (@t432)) % 0.29/0.86 (step @p427 :rule eq_resolve :premises (@p396 @p426)) % 0.29/0.86 (step @p428 :rule instantiate :premises (@p427) :args ((@list tptp.c_Lambda_OdB_OApp @t433 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.29/0.86 (step @p429 :rule refl :args (tptp.c_InductTermi_OIT)) % 0.29/0.86 (step @p430 :rule cong :premises (@p429 @p428) :args (@t434)) % 0.29/0.86 (step @p431 :rule cong :premises (@p430) :args (@t435)) % 0.29/0.86 (step @p432 :rule false_intro :premises (@p402)) % 0.29/0.86 (step @p433 :rule symm :premises (@p432)) % 0.29/0.86 (step @p434 :rule trans :premises (@p433 @p431 @p424)) % 0.29/0.86 (step @p435 false :rule eq_resolve :premises (@p434 @p423)) % 0.29/0.86 ) % 0.29/0.86 % SZS output end Proof % 0.29/0.86 % cvc5 exiting %------------------------------------------------------------------------------