%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL825-1 : 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 : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:58 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.98s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL825-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n004.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 23:58:00 UTC 2026 % 0.09/0.36 % CPUTime : % 0.20/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.98 % SZS status Unsatisfiable % 0.30/0.98 % SZS output start Proof % 0.30/1.02 ( % 0.30/1.02 (declare-sort $$unsorted 0) % 0.30/1.02 (declare-const tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_ua______ $$unsorted) % 0.30/1.02 (declare-const tptp.c_List_Osko__List__Xmap__cong__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Osko__List__Xmap__ext__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Ofiltermap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.t_b $$unsorted) % 0.30/1.02 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xconcat__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xtake__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_i____ $$unsorted) % 0.30/1.02 (declare-const tptp.v_sko__List__Xmap__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_n____ $$unsorted) % 0.30/1.02 (declare-const tptp.v_sko__List__Xmap__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlist__update__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Osko__List__Xmap__eq__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__XtakeWhile__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlistsp__Xcases__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlistsp__Xcases__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__XdropWhile__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xzip__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xzip__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlistset__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlistset__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xremove1__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Orotate1 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xdistinct__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlast__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlast__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xconcat__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.t_a $$unsorted) % 0.30/1.02 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xremove1__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.tc_nat $$unsorted) % 0.30/1.02 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlist__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlist__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.30/1.02 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.30/1.02 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Olist_Olist__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.30/1.02 (declare-const tptp.c_List_Onull (-> $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlist__update__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.tc_bool $$unsorted) % 0.30/1.02 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Map_Omap__upds (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xtake__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.v_u____ $$unsorted) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Osko__List__Xmap__idI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.v_sko__List__XtakeWhile__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xfoldl__Xinduct__2 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlistsp__Xinduct__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xfoldl__Xinduct__1 (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Type_Otype_OFun (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.v_sko__List__Xlistsp__Xinducts__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.30/1.02 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.30/1.02 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.30/1.02 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.30/1.02 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Oremdups (-> $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (declare-const tptp.c_List_Osublist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/1.02 (define @t1 () (@var "V_i" $$unsorted)) % 0.30/1.02 (define @t2 () (@var "T_a" $$unsorted)) % 0.30/1.02 (define @t3 () (tptp.tc_List_Olist @t2)) % 0.30/1.02 (define @t4 () (@var "V_xs" $$unsorted)) % 0.30/1.02 (define @t5 () (tptp.c_Nat_Osize__class_Osize @t4 @t3)) % 0.30/1.02 (define @t6 () (@var "V_x" $$unsorted)) % 0.30/1.02 (define @t7 () (tptp.c_List_Olist__update @t4 @t1 @t6 @t2)) % 0.30/1.02 (define @t8 () (@list @t4 @t1 @t6 @t2)) % 0.30/1.02 (define @t9 () (@var "V_n" $$unsorted)) % 0.30/1.02 (define @t10 () (tptp.c_List_Odrop @t9 @t4 @t2)) % 0.30/1.02 (define @t11 () (@var "V_m" $$unsorted)) % 0.30/1.02 (define @t12 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t9 tptp.tc_nat)) % 0.30/1.02 (define @t13 () (tptp.c_Divides_Odiv__class_Omod @t9 @t5 tptp.tc_nat)) % 0.30/1.02 (define @t14 () (tptp.c_List_Orotate @t9 @t4 @t2)) % 0.30/1.02 (define @t15 () (@list @t9 @t4 @t2)) % 0.30/1.02 (define @t16 () (tptp.c_List_Oremdups @t4 @t2)) % 0.30/1.02 (define @t17 () (tptp.c_Nat_Osize__class_Osize @t16 @t3)) % 0.30/1.02 (define @t18 () (@list @t4 @t2)) % 0.30/1.02 (define @t19 () (@var "V_k" $$unsorted)) % 0.30/1.02 (define @t20 () (tptp.c_List_Oreplicate @t19 @t6 @t2)) % 0.30/1.02 (define @t21 () (@var "V_U" $$unsorted)) % 0.30/1.02 (define @t22 () (@var "V_T" $$unsorted)) % 0.30/1.02 (define @t23 () (tptp.c_Type_Otype_OFun @t22 @t21)) % 0.30/1.02 (define @t24 () (@var "V_s" $$unsorted)) % 0.30/1.02 (define @t25 () (@var "V_env" $$unsorted)) % 0.30/1.02 (define @t26 () (@var "V_t" $$unsorted)) % 0.30/1.02 (define @t27 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t24)) % 0.30/1.02 (define @t28 () (tptp.hAPP @t27 @t26)) % 0.30/1.02 (define @t29 () (@var "V_y" $$unsorted)) % 0.30/1.02 (define @t30 () (tptp.c_lessequals @t6 @t29 @t2)) % 0.30/1.02 (define @t31 () (not @t30)) % 0.30/1.02 (define @t32 () (@var "V_zs" $$unsorted)) % 0.30/1.02 (define @t33 () (tptp.c_List_Olist_OCons @t29 @t32 @t2)) % 0.30/1.02 (define @t34 () (tptp.c_List_Olinorder__class_Osorted @t33 @t2)) % 0.30/1.02 (define @t35 () (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons @t6 @t33 @t2) @t2)) % 0.30/1.02 (define @t36 () (not (tptp.class_Orderings_Olinorder @t2))) % 0.30/1.02 (define @t37 () (@list @t2 @t6 @t29 @t32)) % 0.30/1.02 (define @t38 () (not @t35)) % 0.30/1.02 (define @t39 () (@var "V_P" $$unsorted)) % 0.30/1.02 (define @t40 () (tptp.c_List_Ofilter @t39 @t4 @t2)) % 0.30/1.02 (define @t41 () (@list @t39 @t4 @t2)) % 0.30/1.02 (define @t42 () (tptp.c_lessequals @t5 @t9 tptp.tc_nat)) % 0.30/1.02 (define @t43 () (not @t42)) % 0.30/1.02 (define @t44 () (tptp.c_List_Otake @t9 @t4 @t2)) % 0.30/1.02 (define @t45 () (@var "V_ys" $$unsorted)) % 0.30/1.02 (define @t46 () (tptp.c_List_Olist_OCons @t6 @t45 @t2)) % 0.30/1.02 (define @t47 () (tptp.c_List_Orev @t4 @t2)) % 0.30/1.02 (define @t48 () (tptp.c_lessequals @t29 @t6 @t2)) % 0.30/1.02 (define @t49 () (tptp.c_lessequals @t11 @t9 tptp.tc_nat)) % 0.30/1.02 (define @t50 () (tptp.c_lessequals @t9 @t11 tptp.tc_nat)) % 0.30/1.02 (define @t51 () (@list @t9 @t11)) % 0.30/1.02 (define @t52 () (@var "V_x_H" $$unsorted)) % 0.30/1.02 (define @t53 () (@var "V_y_H" $$unsorted)) % 0.30/1.02 (define @t54 () (tptp.c_lessequals @t53 @t52 @t2)) % 0.30/1.02 (define @t55 () (tptp.c_HOL_Ominus__class_Ominus @t52 @t53 @t2)) % 0.30/1.02 (define @t56 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t29 @t2)) % 0.30/1.02 (define @t57 () (not (= @t56 @t55))) % 0.30/1.02 (define @t58 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t2))) % 0.30/1.02 (define @t59 () (@list @t2 @t6 @t29 @t52 @t53)) % 0.30/1.02 (define @t60 () (not @t48)) % 0.30/1.02 (define @t61 () (@var "V_A" $$unsorted)) % 0.30/1.02 (define @t62 () (@var "V_c" $$unsorted)) % 0.30/1.02 (define @t63 () (tptp.c_in @t62 @t61 @t2)) % 0.30/1.02 (define @t64 () (@var "V_B" $$unsorted)) % 0.30/1.02 (define @t65 () (tptp.c_in @t62 @t64 @t2)) % 0.30/1.02 (define @t66 () (tptp.tc_fun @t2 tptp.tc_bool)) % 0.30/1.02 (define @t67 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t64 @t66)) % 0.30/1.02 (define @t68 () (tptp.c_in @t62 @t67 @t2)) % 0.30/1.02 (define @t69 () (tptp.c_lessequals @t6 @t6 @t2)) % 0.30/1.02 (define @t70 () (not (tptp.class_Orderings_Opreorder @t2))) % 0.30/1.02 (define @t71 () (@list @t2 @t6)) % 0.30/1.02 (define @t72 () (not (tptp.class_Orderings_Oorder @t2))) % 0.30/1.02 (define @t73 () (@var "V_j" $$unsorted)) % 0.30/1.02 (define @t74 () (@list @t9)) % 0.30/1.02 (define @t75 () (@var "V_z" $$unsorted)) % 0.30/1.02 (define @t76 () (tptp.c_lessequals @t6 @t75 @t2)) % 0.30/1.02 (define @t77 () (@list @t2 @t6 @t75 @t29)) % 0.30/1.02 (define @t78 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.30/1.02 (define @t79 () (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_Divides_Odiv__class_Omod @t9 @t78 tptp.tc_nat)))) % 0.30/1.02 (define @t80 () (tptp.hBOOL (tptp.hAPP @t39 @t9))) % 0.30/1.02 (define @t81 () (@list @t39 @t9)) % 0.30/1.02 (define @t82 () (@var "V_type1_H" $$unsorted)) % 0.30/1.02 (define @t83 () (@var "V_type1" $$unsorted)) % 0.30/1.02 (define @t84 () (@var "V_type2_H" $$unsorted)) % 0.30/1.02 (define @t85 () (@var "V_type2" $$unsorted)) % 0.30/1.02 (define @t86 () (not (= (tptp.c_Type_Otype_OFun @t83 @t85) (tptp.c_Type_Otype_OFun @t82 @t84)))) % 0.30/1.02 (define @t87 () (@list @t83 @t85 @t82 @t84)) % 0.30/1.02 (define @t88 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t29 @t2)) % 0.30/1.02 (define @t89 () (tptp.c_lessequals @t88 @t6 @t2)) % 0.30/1.02 (define @t90 () (not (tptp.class_Lattices_Olower__semilattice @t2))) % 0.30/1.02 (define @t91 () (@list @t2 @t6 @t29)) % 0.30/1.02 (define @t92 () (tptp.c_lessequals @t88 @t29 @t2)) % 0.30/1.02 (define @t93 () (@var "V_a" $$unsorted)) % 0.30/1.02 (define @t94 () (tptp.c_lessequals @t6 @t93 @t2)) % 0.30/1.02 (define @t95 () (@var "V_b" $$unsorted)) % 0.30/1.02 (define @t96 () (tptp.c_lessequals @t6 @t95 @t2)) % 0.30/1.02 (define @t97 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t93 @t95 @t2)) % 0.30/1.02 (define @t98 () (tptp.c_lessequals @t6 @t97 @t2)) % 0.30/1.02 (define @t99 () (@list @t2 @t6 @t93 @t95)) % 0.30/1.02 (define @t100 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t75 @t2)) % 0.30/1.02 (define @t101 () (tptp.c_lessequals @t6 @t100 @t2)) % 0.30/1.02 (define @t102 () (@list @t2 @t6 @t29 @t75)) % 0.30/1.02 (define @t103 () (not (tptp.class_Lattices_Olattice @t2))) % 0.30/1.02 (define @t104 () (tptp.c_lessequals @t93 @t95 @t2)) % 0.30/1.02 (define @t105 () (tptp.c_HOL_Ozero__class_Ozero @t2)) % 0.30/1.02 (define @t106 () (tptp.c_HOL_Ominus__class_Ominus @t93 @t95 @t2)) % 0.30/1.02 (define @t107 () (tptp.c_lessequals @t106 @t105 @t2)) % 0.30/1.02 (define @t108 () (@list @t2 @t93 @t95)) % 0.30/1.02 (define @t109 () (@var "V_b_H" $$unsorted)) % 0.30/1.02 (define @t110 () (@var "V_a_H" $$unsorted)) % 0.30/1.02 (define @t111 () (tptp.c_Divides_Odiv__class_Omod @t106 @t62 @t2)) % 0.30/1.02 (define @t112 () (tptp.c_Divides_Odiv__class_Omod @t93 @t62 @t2)) % 0.30/1.02 (define @t113 () (tptp.c_Divides_Odiv__class_Omod @t95 @t62 @t2)) % 0.30/1.02 (define @t114 () (not (tptp.class_Divides_Oring__div @t2))) % 0.30/1.02 (define @t115 () (= @t6 @t29)) % 0.30/1.02 (define @t116 () (= @t11 @t9)) % 0.30/1.02 (define @t117 () (= @t12 @t78)) % 0.30/1.02 (define @t118 () (not @t117)) % 0.30/1.02 (define @t119 () (not @t49)) % 0.30/1.02 (define @t120 () (not @t50)) % 0.30/1.02 (define @t121 () (@list @t11 @t9)) % 0.30/1.02 (define @t122 () (= @t9 @t78)) % 0.30/1.02 (define @t123 () (tptp.c_Divides_Odiv__class_Omod @t11 @t9 tptp.tc_nat)) % 0.30/1.02 (define @t124 () (@list @t11)) % 0.30/1.02 (define @t125 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t6 @t2)) % 0.30/1.02 (define @t126 () (= @t125 @t105)) % 0.30/1.02 (define @t127 () (not (tptp.class_Int_Onumber__ring @t2))) % 0.30/1.02 (define @t128 () (not (tptp.class_Ring__and__Field_Oidom @t2))) % 0.30/1.02 (define @t129 () (not (tptp.class_OrderedGroup_Ogroup__add @t2))) % 0.30/1.02 (define @t130 () (@list @t2 @t93)) % 0.30/1.02 (define @t131 () (not (tptp.class_OrderedGroup_Oab__group__add @t2))) % 0.30/1.02 (define @t132 () (not (tptp.class_Divides_Osemiring__div @t2))) % 0.30/1.02 (define @t133 () (tptp.c_Divides_Odiv__class_Omod @t93 @t95 @t2)) % 0.30/1.02 (define @t134 () (@list @t2 @t93 @t95 @t62)) % 0.30/1.02 (define @t135 () (@var "V_S" $$unsorted)) % 0.30/1.02 (define @t136 () (tptp.hBOOL (tptp.hAPP @t135 @t6))) % 0.30/1.02 (define @t137 () (tptp.c_in @t6 @t135 @t2)) % 0.30/1.02 (define @t138 () (@var "V_l" $$unsorted)) % 0.30/1.02 (define @t139 () (not (tptp.c_lessequals @t19 @t11 tptp.tc_nat))) % 0.30/1.02 (define @t140 () (not (tptp.c_lessequals @t19 @t9 tptp.tc_nat))) % 0.30/1.02 (define @t141 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t19 tptp.tc_nat)) % 0.30/1.02 (define @t142 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t19 tptp.tc_nat)) % 0.30/1.02 (define @t143 () (tptp.c_lessequals @t142 @t141 tptp.tc_nat)) % 0.30/1.02 (define @t144 () (@list @t11 @t19 @t9)) % 0.30/1.02 (define @t145 () (@var "V_xa" $$unsorted)) % 0.30/1.02 (define @t146 () (not @t68)) % 0.30/1.02 (define @t147 () (= @t88 @t6)) % 0.30/1.02 (define @t148 () (= @t93 @t95)) % 0.30/1.02 (define @t149 () (not (= @t106 @t105))) % 0.30/1.02 (define @t150 () (not @t98)) % 0.30/1.02 (define @t151 () (tptp.c_lessequals @t97 @t6 @t2)) % 0.30/1.02 (define @t152 () (@list @t2 @t93 @t95 @t6)) % 0.30/1.02 (define @t153 () (not @t101)) % 0.30/1.02 (define @t154 () (tptp.c_List_Olist_OCons @t6 @t4 @t2)) % 0.30/1.02 (define @t155 () (@var "V_v" $$unsorted)) % 0.30/1.02 (define @t156 () (tptp.c_Int_Onumber__class_Onumber__of @t155 tptp.tc_nat)) % 0.30/1.02 (define @t157 () (not (= @t156 @t78))) % 0.30/1.02 (define @t158 () (@list @t155 @t6 @t4 @t2)) % 0.30/1.02 (define @t159 () (tptp.c_List_Olist_ONil @t2)) % 0.30/1.02 (define @t160 () (= @t10 @t159)) % 0.30/1.02 (define @t161 () (@var "V_ys_092_060_094isub_0621" $$unsorted)) % 0.30/1.02 (define @t162 () (tptp.c_Nat_Osize__class_Osize @t161 @t3)) % 0.30/1.02 (define @t163 () (@var "V_xs_092_060_094isub_0621" $$unsorted)) % 0.30/1.02 (define @t164 () (tptp.c_Nat_Osize__class_Osize @t163 @t3)) % 0.30/1.02 (define @t165 () (tptp.c_lessequals @t164 @t162 tptp.tc_nat)) % 0.30/1.02 (define @t166 () (= (tptp.c_List_Otake @t162 @t163 @t2) @t161)) % 0.30/1.02 (define @t167 () (@var "V_ys_092_060_094isub_0622" $$unsorted)) % 0.30/1.02 (define @t168 () (tptp.c_List_Oappend @t161 @t167 @t2)) % 0.30/1.02 (define @t169 () (@var "V_xs_092_060_094isub_0622" $$unsorted)) % 0.30/1.02 (define @t170 () (tptp.c_List_Oappend @t163 @t169 @t2)) % 0.30/1.02 (define @t171 () (not (= @t170 @t168))) % 0.30/1.02 (define @t172 () (@list @t163 @t169 @t2 @t161 @t167)) % 0.30/1.02 (define @t173 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t5 tptp.tc_nat)) % 0.30/1.02 (define @t174 () (tptp.c_List_Oappend @t4 @t45 @t2)) % 0.30/1.02 (define @t175 () (@list @t9 @t4 @t45 @t2)) % 0.30/1.02 (define @t176 () (not @t165)) % 0.30/1.02 (define @t177 () (= @t163 (tptp.c_List_Otake @t164 @t161 @t2))) % 0.30/1.02 (define @t178 () (tptp.c_List_Oappend (tptp.c_List_Odrop @t164 @t161 @t2) @t167 @t2)) % 0.30/1.02 (define @t179 () (tptp.c_List_Odrop @t162 @t163 @t2)) % 0.30/1.02 (define @t180 () (tptp.c_List_Oappend @t179 @t169 @t2)) % 0.30/1.02 (define @t181 () (tptp.hBOOL (tptp.hAPP @t39 @t6))) % 0.30/1.02 (define @t182 () (tptp.c_List_Ofilter @t39 @t45 @t2)) % 0.30/1.02 (define @t183 () (not (tptp.c_List_Odistinct @t174 @t2))) % 0.30/1.02 (define @t184 () (tptp.c_List_Odistinct @t4 @t2)) % 0.30/1.02 (define @t185 () (@list @t4 @t2 @t45)) % 0.30/1.02 (define @t186 () (tptp.c_List_Orev @t47 @t2)) % 0.30/1.02 (define @t187 () (tptp.c_List_Orev @t45 @t2)) % 0.30/1.02 (define @t188 () (@list @t45 @t2)) % 0.30/1.02 (define @t189 () (= @t16 @t4)) % 0.30/1.02 (define @t190 () (= @t17 @t5)) % 0.30/1.02 (define @t191 () (not @t189)) % 0.30/1.02 (define @t192 () (tptp.hAPP tptp.c_Lambda_Olift @t26)) % 0.30/1.02 (define @t193 () (tptp.hAPP @t192 @t19)) % 0.30/1.02 (define @t194 () (tptp.hAPP tptp.c_Lambda_Olift @t24)) % 0.30/1.02 (define @t195 () (tptp.c_List_Oreplicate @t9 @t6 @t2)) % 0.30/1.02 (define @t196 () (@list @t9 @t6 @t2)) % 0.30/1.02 (define @t197 () (@var "T_b" $$unsorted)) % 0.30/1.02 (define @t198 () (@var "V_f" $$unsorted)) % 0.30/1.02 (define @t199 () (tptp.c_List_Oappend @t4 @t45 @t197)) % 0.30/1.02 (define @t200 () (not @t181)) % 0.30/1.02 (define @t201 () (tptp.c_List_Olist__ex @t39 @t154 @t2)) % 0.30/1.02 (define @t202 () (@list @t39 @t6 @t4 @t2)) % 0.30/1.02 (define @t203 () (tptp.c_List_Olist_OCons @t6 @t159 @t2)) % 0.30/1.02 (define @t204 () (= @t4 @t203)) % 0.30/1.02 (define @t205 () (@list @t4 @t2 @t6)) % 0.30/1.02 (define @t206 () (tptp.c_Lambda_OdB_OVar @t1)) % 0.30/1.02 (define @t207 () (@var "V_e" $$unsorted)) % 0.30/1.02 (define @t208 () (@var "V_g" $$unsorted)) % 0.30/1.02 (define @t209 () (tptp.hAPP @t198 (tptp.hAPP @t208 @t6))) % 0.30/1.02 (define @t210 () (@var "T_c" $$unsorted)) % 0.30/1.02 (define @t211 () (tptp.c_Fun_Ocomp @t198 @t208 @t197 @t2 @t210)) % 0.30/1.02 (define @t212 () (tptp.hAPP @t211 @t6)) % 0.30/1.02 (define @t213 () (tptp.c_Fun_Ocomp @t93 @t95 @t210 @t197 @t2)) % 0.30/1.02 (define @t214 () (tptp.hAPP @t93 (tptp.hAPP @t95 @t155))) % 0.30/1.02 (define @t215 () (@var "V_dB_H" $$unsorted)) % 0.30/1.02 (define @t216 () (tptp.c_Lambda_OdB_OAbs @t215)) % 0.30/1.02 (define @t217 () (@var "V_nat" $$unsorted)) % 0.30/1.02 (define @t218 () (tptp.c_Lambda_OdB_OVar @t217)) % 0.30/1.02 (define @t219 () (tptp.c_List_Olist__ex @t39 @t4 @t2)) % 0.30/1.02 (define @t220 () (@list @t39 @t4 @t2 @t6)) % 0.30/1.02 (define @t221 () (@var "V_us" $$unsorted)) % 0.30/1.02 (define @t222 () (@var "V_ts" $$unsorted)) % 0.30/1.02 (define @t223 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t206 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t224 () (@var "V_Ts" $$unsorted)) % 0.30/1.02 (define @t225 () (not (tptp.c_Type_Otypings @t207 @t222 @t224))) % 0.30/1.02 (define @t226 () (not (tptp.c_Type_Otyping @t207 @t223 @t21))) % 0.30/1.02 (define @t227 () (not (tptp.c_Type_Otyping @t207 @t223 @t22))) % 0.30/1.02 (define @t228 () (tptp.c_Lambda_OdB_OAbs @t26)) % 0.30/1.02 (define @t229 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t26 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t230 () (not (tptp.c_Type_Otyping @t207 @t229 @t22))) % 0.30/1.02 (define @t231 () (@list @t207 @t222 @t22 @t26)) % 0.30/1.02 (define @t232 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t1 tptp.tc_nat)) % 0.30/1.02 (define @t233 () (tptp.c_List_Odrop @t1 @t4 @t2)) % 0.30/1.02 (define @t234 () (@list @t1 @t4 @t2)) % 0.30/1.02 (define @t235 () (tptp.c_List_Otake @t1 @t4 @t2)) % 0.30/1.02 (define @t236 () (= (tptp.c_List_Oappend @t163 @t178 @t2) @t168)) % 0.30/1.02 (define @t237 () (not @t177)) % 0.30/1.02 (define @t238 () (not @t166)) % 0.30/1.02 (define @t239 () (tptp.c_in @t78 @t61 tptp.tc_nat)) % 0.30/1.02 (define @t240 () (tptp.c_List_Osublist @t203 @t61 @t2)) % 0.30/1.02 (define @t241 () (@list @t6 @t2 @t61)) % 0.30/1.02 (define @t242 () (@var "V_rs" $$unsorted)) % 0.30/1.02 (define @t243 () (tptp.c_Lambda_OdB_OVar @t9)) % 0.30/1.02 (define @t244 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t243 @t242 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t245 () (tptp.c_List_Olist_ONil tptp.t_a)) % 0.30/1.02 (define @t246 () (not (tptp.hBOOL (tptp.hAPP @t39 @t245)))) % 0.30/1.02 (define @t247 () (tptp.v_sko__List__Xlast__Xinduct__2 @t39)) % 0.30/1.02 (define @t248 () (@var "V_list" $$unsorted)) % 0.30/1.02 (define @t249 () (tptp.hBOOL (tptp.hAPP @t39 @t248))) % 0.30/1.02 (define @t250 () (@list @t39 @t248)) % 0.30/1.02 (define @t251 () (tptp.v_sko__List__Xdistinct__Xinduct__2 @t39)) % 0.30/1.02 (define @t252 () (tptp.v_sko__List__Xremove1__Xinduct__2 @t39)) % 0.30/1.02 (define @t253 () (tptp.v_sko__List__Xlistset__Xinduct__2 @t39)) % 0.30/1.02 (define @t254 () (tptp.v_sko__List__Xzip__Xinduct__2 @t39)) % 0.30/1.02 (define @t255 () (tptp.v_sko__List__XdropWhile__Xinduct__2 @t39)) % 0.30/1.02 (define @t256 () (tptp.v_sko__List__XtakeWhile__Xinduct__2 @t39)) % 0.30/1.02 (define @t257 () (tptp.v_sko__List__Xlist__update__Xinduct__2 @t39)) % 0.30/1.02 (define @t258 () (tptp.v_sko__List__Xlist__Xinduct__2 @t39)) % 0.30/1.02 (define @t259 () (tptp.v_sko__List__Xmap__Xinduct__2 @t39)) % 0.30/1.02 (define @t260 () (tptp.v_sko__List__Xtake__Xinduct__2 @t39)) % 0.30/1.02 (define @t261 () (tptp.v_sko__List__Xfoldl__Xinduct__2 @t39)) % 0.30/1.02 (define @t262 () (tptp.v_sko__List__Xconcat__Xinduct__2 @t39)) % 0.30/1.02 (define @t263 () (tptp.c_List_Olinorder__class_Osorted @t4 @t2)) % 0.30/1.02 (define @t264 () (not @t263)) % 0.30/1.02 (define @t265 () (@list @t2 @t9 @t4)) % 0.30/1.02 (define @t266 () (= @t45 @t32)) % 0.30/1.02 (define @t267 () (tptp.c_List_Oappend @t4 @t32 @t2)) % 0.30/1.02 (define @t268 () (@list @t4 @t45 @t2 @t32)) % 0.30/1.02 (define @t269 () (not (= (tptp.c_List_Oreplicate @t11 @t6 @t2) (tptp.c_List_Oreplicate @t9 @t29 @t2)))) % 0.30/1.02 (define @t270 () (@list @t11 @t6 @t2 @t9 @t29)) % 0.30/1.02 (define @t271 () (tptp.c_List_Ofilter @t39 @t154 @t2)) % 0.30/1.02 (define @t272 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t273 () (tptp.c_Lambda_OdB_OVar @t11)) % 0.30/1.02 (define @t274 () (@list @t6 @t4 @t2)) % 0.30/1.02 (define @t275 () (tptp.c_List_Olist_OCons @t6 @t4 @t197)) % 0.30/1.02 (define @t276 () (tptp.c_List_Orev @t203 @t2)) % 0.30/1.02 (define @t277 () (@list @t6 @t2)) % 0.30/1.02 (define @t278 () (tptp.c_List_Olist_OCons @t29 @t159 @t2)) % 0.30/1.02 (define @t279 () (tptp.c_List_Oappend @t187 @t278 @t2)) % 0.30/1.02 (define @t280 () (tptp.c_List_Olist_OCons @t29 @t45 @t2)) % 0.30/1.02 (define @t281 () (@list @t61 @t64 @t2)) % 0.30/1.02 (define @t282 () (= @t88 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 @t6 @t2))) % 0.30/1.02 (define @t283 () (@var "V_r" $$unsorted)) % 0.30/1.02 (define @t284 () (tptp.c_Lambda_OdB_OAbs @t283)) % 0.30/1.02 (define @t285 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t284 @t272 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t286 () (@list @t283)) % 0.30/1.02 (define @t287 () (@var "V_ss" $$unsorted)) % 0.30/1.02 (define @t288 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t24 @t287 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t289 () (not (= @t284 @t288))) % 0.30/1.02 (define @t290 () (@list @t283 @t24 @t287)) % 0.30/1.02 (define @t291 () (tptp.c_List_Olist_OCons @t6 (tptp.c_List_Oappend @t145 @t32 @t2) @t2)) % 0.30/1.02 (define @t292 () (tptp.c_List_Olist_OCons @t6 @t145 @t2)) % 0.30/1.02 (define @t293 () (tptp.c_List_Oappend @t292 @t32 @t2)) % 0.30/1.02 (define @t294 () (not @t184)) % 0.30/1.02 (define @t295 () (tptp.c_List_Orotate1 @t4 @t2)) % 0.30/1.02 (define @t296 () (tptp.c_List_Odistinct @t295 @t2)) % 0.30/1.02 (define @t297 () (@list @t45 @t4 @t2)) % 0.30/1.02 (define @t298 () (= @t4 @t159)) % 0.30/1.02 (define @t299 () (@var "V_f2" $$unsorted)) % 0.30/1.02 (define @t300 () (tptp.hAPP (tptp.hAPP @t299 @t93) @t248)) % 0.30/1.02 (define @t301 () (tptp.c_List_Olist_OCons @t93 @t248 @t197)) % 0.30/1.02 (define @t302 () (@var "V_f1" $$unsorted)) % 0.30/1.02 (define @t303 () (@list @t302 @t299 @t93 @t248 @t197 @t2)) % 0.30/1.02 (define @t304 () (@var "V_xs1" $$unsorted)) % 0.30/1.02 (define @t305 () (= @t287 @t272)) % 0.30/1.02 (define @t306 () (not (= @t288 @t284))) % 0.30/1.02 (define @t307 () (@list @t24 @t287 @t283)) % 0.30/1.02 (define @t308 () (= @t283 @t24)) % 0.30/1.02 (define @t309 () (not (tptp.c_Lambda_Obeta @t24 @t26))) % 0.30/1.02 (define @t310 () (@var "V_u" $$unsorted)) % 0.30/1.02 (define @t311 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t310)) % 0.30/1.02 (define @t312 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t26)) % 0.30/1.02 (define @t313 () (tptp.hAPP @t312 @t310)) % 0.30/1.02 (define @t314 () (tptp.c_List_Oreplicate @t78 @t6 @t2)) % 0.30/1.02 (define @t315 () (tptp.c_List_Odistinct @t47 @t2)) % 0.30/1.02 (define @t316 () (tptp.c_List_Olist__all @t39 @t154 @t2)) % 0.30/1.02 (define @t317 () (not @t316)) % 0.30/1.02 (define @t318 () (tptp.c_List_Olist__all @t39 @t4 @t2)) % 0.30/1.02 (define @t319 () (not (tptp.c_List_Olistsp @t61 @t6 tptp.t_a))) % 0.30/1.02 (define @t320 () (tptp.v_sko__List__Xlistsp__Xinduct__2 @t61 @t39)) % 0.30/1.02 (define @t321 () (tptp.v_sko__List__Xlistsp__Xinduct__1 @t61 @t39)) % 0.30/1.02 (define @t322 () (@list @t39 @t6 @t61)) % 0.30/1.02 (define @t323 () (tptp.v_sko__List__Xlistsp__Xinducts__2 @t61 @t39)) % 0.30/1.02 (define @t324 () (tptp.v_sko__List__Xlistsp__Xinducts__1 @t61 @t39)) % 0.30/1.02 (define @t325 () (not (tptp.c_Lambda_Obeta @t283 @t24))) % 0.30/1.02 (define @t326 () (not (= @t273 @t288))) % 0.30/1.02 (define @t327 () (@list @t11 @t24 @t287)) % 0.30/1.02 (define @t328 () (tptp.c_List_Olist_OCons @t29 @t4 @t2)) % 0.30/1.02 (define @t329 () (tptp.c_List_Olist_ONil @t197)) % 0.30/1.02 (define @t330 () (tptp.c_List_Oappend @t159 @t154 @t2)) % 0.30/1.02 (define @t331 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t26)))) % 0.30/1.02 (define @t332 () (@list @t26 @t1)) % 0.30/1.02 (define @t333 () (tptp.hAPP tptp.c_Lambda_Osubst @t26)) % 0.30/1.02 (define @t334 () (tptp.hAPP (tptp.hAPP @t333 @t310) @t1)) % 0.30/1.02 (define @t335 () (@var "V_e_H" $$unsorted)) % 0.30/1.02 (define @t336 () (tptp.c_List_Orev @t4 @t197)) % 0.30/1.02 (define @t337 () (tptp.c_List_Ofoldl @t198 @t93 @t4 @t2 @t197)) % 0.30/1.02 (define @t338 () (tptp.hBOOL (tptp.hAPP @t67 @t6))) % 0.30/1.02 (define @t339 () (not @t338)) % 0.30/1.02 (define @t340 () (tptp.hBOOL (tptp.hAPP @t64 @t6))) % 0.30/1.02 (define @t341 () (tptp.hBOOL (tptp.hAPP @t61 @t6))) % 0.30/1.02 (define @t342 () (not @t318)) % 0.30/1.02 (define @t343 () (tptp.c_List_Olist__all @t39 @t45 @t2)) % 0.30/1.02 (define @t344 () (tptp.c_List_Olist__all @t39 @t174 @t2)) % 0.30/1.02 (define @t345 () (@list @t39 @t4 @t45 @t2)) % 0.30/1.02 (define @t346 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t243 @t287 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t347 () (tptp.c_Lambda_OdB_OAbs @t24)) % 0.30/1.02 (define @t348 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t347) @t26)) % 0.30/1.02 (define @t349 () (@list @t24 @t26)) % 0.30/1.02 (define @t350 () (tptp.c_List_Oreplicate @t1 @t6 @t2)) % 0.30/1.02 (define @t351 () (@list @t4 @t45 @t2)) % 0.30/1.02 (define @t352 () (@var "V_dB2_H" $$unsorted)) % 0.30/1.02 (define @t353 () (@var "V_dB1_H" $$unsorted)) % 0.30/1.02 (define @t354 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t353) @t352)) % 0.30/1.02 (define @t355 () (tptp.c_List_Oappend @t159 @t159 @t2)) % 0.30/1.02 (define @t356 () (@list @t2)) % 0.30/1.02 (define @t357 () (tptp.c_List_Orev @t159 @t2)) % 0.30/1.02 (define @t358 () (tptp.c_List_Oremdups @t159 @t2)) % 0.30/1.02 (define @t359 () (= @t45 @t159)) % 0.30/1.02 (define @t360 () (= @t6 @t159)) % 0.30/1.02 (define @t361 () (tptp.c_List_Oremdups @t6 @t2)) % 0.30/1.02 (define @t362 () (@var "V_list_H" $$unsorted)) % 0.30/1.02 (define @t363 () (tptp.c_List_Olist_OCons @t110 @t362 @t2)) % 0.30/1.02 (define @t364 () (not (= @t174 @t159))) % 0.30/1.02 (define @t365 () (not (= @t159 @t174))) % 0.30/1.02 (define @t366 () (@list @t2 @t4 @t45)) % 0.30/1.02 (define @t367 () (@list @t9 @t2)) % 0.30/1.02 (define @t368 () (tptp.hAPP tptp.c_Lambda_Osubst @t283)) % 0.30/1.02 (define @t369 () (tptp.c_List_Ofilter @t39 @t195 @t2)) % 0.30/1.02 (define @t370 () (@list @t39 @t9 @t6 @t2)) % 0.30/1.02 (define @t371 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t100 @t2)) % 0.30/1.02 (define @t372 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t88 @t75 @t2) @t371)) % 0.30/1.02 (define @t373 () (= @t371 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t29 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t75 @t2) @t2))) % 0.30/1.02 (define @t374 () (@var "V_C" $$unsorted)) % 0.30/1.02 (define @t375 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t64 @t374 @t66) @t66)) % 0.30/1.02 (define @t376 () (@var "V_dB" $$unsorted)) % 0.30/1.02 (define @t377 () (tptp.c_List_Oremove1 @t6 @t4 @t2)) % 0.30/1.02 (define @t378 () (@var "V_I" $$unsorted)) % 0.30/1.02 (define @t379 () (tptp.c_Map_Omap__upds @t11 @t4 @t45 @t2 @t197)) % 0.30/1.02 (define @t380 () (tptp.tc_List_Olist @t197)) % 0.30/1.02 (define @t381 () (tptp.c_Nat_Osize__class_Osize @t45 @t380)) % 0.30/1.02 (define @t382 () (not (= @t5 @t381))) % 0.30/1.02 (define @t383 () (@list @t4 @t2 @t45 @t197 @t11 @t32)) % 0.30/1.02 (define @t384 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t24) @t26)) % 0.30/1.02 (define @t385 () (@var "V_dB2" $$unsorted)) % 0.30/1.02 (define @t386 () (@var "V_dB1" $$unsorted)) % 0.30/1.02 (define @t387 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t386) @t385)) % 0.30/1.02 (define @t388 () (not (= @t387 @t354))) % 0.30/1.02 (define @t389 () (@list @t386 @t385 @t353 @t352)) % 0.30/1.02 (define @t390 () (not (tptp.c_List_Olistsp @t61 @t93 tptp.t_a))) % 0.30/1.02 (define @t391 () (= @t93 @t245)) % 0.30/1.02 (define @t392 () (tptp.v_sko__List__Xlistsp__Xcases__2 @t61 @t93)) % 0.30/1.02 (define @t393 () (tptp.v_sko__List__Xlistsp__Xcases__1 @t61 @t93)) % 0.30/1.02 (define @t394 () (= @t242 @t287)) % 0.30/1.02 (define @t395 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t284 @t242 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t347 @t287 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.30/1.02 (define @t396 () (@list @t283 @t242 @t24 @t287)) % 0.30/1.02 (define @t397 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t283) @t24)) % 0.30/1.02 (define @t398 () (= @t4 @t45)) % 0.30/1.02 (define @t399 () (tptp.c_List_Odistinct @t14 @t2)) % 0.30/1.02 (define @t400 () (tptp.c_List_Ofoldr @t198 @t4 @t93 @t197 @t2)) % 0.30/1.02 (define @t401 () (@var "T_d" $$unsorted)) % 0.30/1.02 (define @t402 () (@var "V_h" $$unsorted)) % 0.30/1.02 (define @t403 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t88 @t2) @t88)) % 0.30/1.02 (define @t404 () (tptp.hAPP @t198 @t6)) % 0.30/1.02 (define @t405 () (@list @t61 @t2)) % 0.30/1.02 (define @t406 () (not (= (tptp.c_List_Olist_OCons @t93 @t248 @t2) @t363))) % 0.30/1.02 (define @t407 () (@list @t93 @t248 @t2 @t110 @t362)) % 0.30/1.02 (define @t408 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t273 @t242 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t346))) % 0.30/1.02 (define @t409 () (@list @t11 @t242 @t9 @t287)) % 0.30/1.02 (define @t410 () (not (tptp.c_Type_Otyping @t207 @t26 @t22))) % 0.30/1.02 (define @t411 () (@var "V_t_H" $$unsorted)) % 0.30/1.02 (define @t412 () (not (tptp.c_List_Olinorder__class_Osorted @t174 @t2))) % 0.30/1.02 (define @t413 () (@var "V_i_H" $$unsorted)) % 0.30/1.02 (define @t414 () (@var "V_nat_H" $$unsorted)) % 0.30/1.02 (define @t415 () (tptp.c_List_Olist__all @t39 @t47 @t2)) % 0.30/1.02 (define @t416 () (@var "V_d" $$unsorted)) % 0.30/1.02 (define @t417 () (@var "T_e" $$unsorted)) % 0.30/1.02 (define @t418 () (@var "V_g_H" $$unsorted)) % 0.30/1.02 (define @t419 () (@var "V_f_H" $$unsorted)) % 0.30/1.02 (define @t420 () (not (= (tptp.c_List_Oappend @t4 @t203 @t2) (tptp.c_List_Oappend @t45 @t278 @t2)))) % 0.30/1.02 (define @t421 () (@list @t4 @t6 @t2 @t45 @t29)) % 0.30/1.02 (define @t422 () (not @t344)) % 0.30/1.02 (define @t423 () (@var "V_xb" $$unsorted)) % 0.30/1.02 (define @t424 () (tptp.hAPP @t192 @t1)) % 0.30/1.02 (define @t425 () (tptp.c_Type_Oshift @t207 @t1 @t21 tptp.tc_Type_Otype)) % 0.30/1.02 (define @t426 () (tptp.c_List_Oappend @t159 @t45 @t2)) % 0.30/1.02 (define @t427 () (tptp.c_List_Oappend @t4 @t159 @t2)) % 0.30/1.02 (define @t428 () (@list @t39 @t2)) % 0.30/1.02 (define @t429 () (@list @t302 @t299 @t197 @t2)) % 0.30/1.02 (define @t430 () (@list @t198 @t197 @t2)) % 0.30/1.02 (define @t431 () (@var "V_as" $$unsorted)) % 0.30/1.02 (define @t432 () (@var "V_bs" $$unsorted)) % 0.30/1.02 (define @t433 () (tptp.c_List_Omap @t198 @t4 @t197 @t2)) % 0.30/1.02 (define @t434 () (@list @t9 @t198 @t4 @t197 @t2)) % 0.30/1.02 (define @t435 () (tptp.c_List_Osko__List__Xmap__idI__1__1 @t198 @t4 @t2)) % 0.30/1.02 (define @t436 () (tptp.c_List_Omap @t198 @t45 @t197 @t2)) % 0.30/1.02 (define @t437 () (tptp.c_Nat_Osize__class_Osize @t4 @t380)) % 0.30/1.02 (define @t438 () (@list @t198 @t4 @t197 @t2)) % 0.30/1.02 (define @t439 () (tptp.c_List_Osko__List__Xmap__ext__1__1 @t198 @t208 @t4 @t2 @t197)) % 0.30/1.02 (define @t440 () (tptp.c_List_Osko__List__Xmap__cong__1__1 @t198 @t208 @t6 @t2 @t197)) % 0.30/1.02 (define @t441 () (tptp.c_List_Osko__List__Xmap__eq__conv__1__1 @t198 @t208 @t4 @t197 @t2)) % 0.30/1.02 (define @t442 () (tptp.c_COMBC tptp.c_Lambda_Olift tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t443 () (tptp.c_List_Omap (tptp.hAPP @t442 @t1) @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t444 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t283)))) % 0.30/1.02 (define @t445 () (tptp.c_List_Olistsp @t61 @t4 @t2)) % 0.30/1.02 (define @t446 () (tptp.c_List_Olistsp @t61 @t45 @t2)) % 0.30/1.02 (define @t447 () (tptp.c_List_Olistsp @t61 @t174 @t2)) % 0.30/1.02 (define @t448 () (not @t447)) % 0.30/1.02 (define @t449 () (@list @t61 @t93)) % 0.30/1.02 (define @t450 () (tptp.c_COMBC tptp.c_Lambda_Osubst tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB))) % 0.30/1.02 (define @t451 () (tptp.c_List_Omap (tptp.hAPP (tptp.c_COMBC (tptp.hAPP @t450 @t310) tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t1) @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t452 () (= @t4 @t329)) % 0.30/1.02 (define @t453 () (@var "V_Q" $$unsorted)) % 0.30/1.02 (define @t454 () (@var "V_R" $$unsorted)) % 0.30/1.02 (define @t455 () (tptp.c_List_Omap @t198 @t329 @t197 @t2)) % 0.30/1.02 (define @t456 () (forall @t430 (= @t455 @t159))) % 0.30/1.02 (define @t457 () (tptp.hAPP (tptp.c_COMBC (tptp.hAPP @t450 tptp.v_u____) tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) tptp.v_i____)) % 0.30/1.02 (define @t458 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap @t457 @t272 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.30/1.02 (define @t459 () (@var "T_1" $$unsorted)) % 0.30/1.02 (define @t460 () (not (tptp.class_Lattices_Olattice @t459))) % 0.30/1.02 (define @t461 () (@var "T_2" $$unsorted)) % 0.30/1.02 (define @t462 () (tptp.tc_fun @t461 @t459)) % 0.30/1.02 (define @t463 () (@list @t461 @t459)) % 0.30/1.02 (define @t464 () (@var "V_Y" $$unsorted)) % 0.30/1.02 (define @t465 () (@var "V_X" $$unsorted)) % 0.30/1.02 (assume @p1 (forall @t8 (or (= @t7 @t4) (not (tptp.c_lessequals @t5 @t1 tptp.tc_nat))))) % 0.30/1.02 (assume @p2 (forall (@list @t9 @t11 @t4 @t2) (= (tptp.c_List_Odrop @t9 (tptp.c_List_Otake @t11 @t4 @t2) @t2) (tptp.c_List_Otake @t12 @t10 @t2)))) % 0.30/1.02 (assume @p3 (forall @t15 (= @t14 (tptp.c_List_Orotate @t13 @t4 @t2)))) % 0.30/1.02 (assume @p4 (forall @t18 (tptp.c_lessequals @t17 @t5 tptp.tc_nat))) % 0.30/1.02 (assume @p5 (forall (@list @t1 @t19 @t6 @t2) (= (tptp.c_List_Odrop @t1 @t20 @t2) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t19 @t1 tptp.tc_nat) @t6 @t2)))) % 0.30/1.02 (assume @p6 (forall (@list @t25 @t24 @t26 @t21 @t22) (or (tptp.c_Type_Otyping @t25 @t28 @t21) (not (tptp.c_Type_Otyping @t25 @t26 @t22)) (not (tptp.c_Type_Otyping @t25 @t24 @t23))))) % 0.30/1.02 (assume @p7 (forall @t15 (= (tptp.c_Nat_Osize__class_Osize @t10 @t3) (tptp.c_HOL_Ominus__class_Ominus @t5 @t9 tptp.tc_nat)))) % 0.30/1.02 (assume @p8 (forall @t37 (or @t36 @t35 (not @t34) @t31))) % 0.30/1.02 (assume @p9 (forall @t37 (or @t36 @t30 @t38))) % 0.30/1.02 (assume @p10 (forall @t41 (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize @t40 @t3) @t5 tptp.tc_nat))) % 0.30/1.02 (assume @p11 (forall @t15 (or (= @t44 @t4) @t43))) % 0.30/1.02 (assume @p12 (forall (@list @t6 @t45 @t2) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize @t46 @t3) (tptp.c_Nat_Osize__class_Osize @t45 @t3) tptp.tc_nat)))) % 0.30/1.02 (assume @p13 (forall @t15 (= (tptp.c_List_Orotate @t9 @t47 @t2) (tptp.c_List_Orev (tptp.c_List_Orotate (tptp.c_HOL_Ominus__class_Ominus @t5 @t13 tptp.tc_nat) @t4 @t2) @t2)))) % 0.30/1.02 (assume @p14 (forall (@list @t2 @t29 @t6) (or @t36 @t48 @t30))) % 0.30/1.02 (assume @p15 (forall @t51 (or @t50 @t49))) % 0.30/1.02 (assume @p16 (forall @t59 (or @t58 @t57 @t48 (not @t54)))) % 0.30/1.02 (assume @p17 (forall @t59 (or @t58 @t57 @t54 @t60))) % 0.30/1.02 (assume @p18 (forall (@list @t62 @t61 @t64 @t2) (or @t68 (not @t65) (not @t63)))) % 0.30/1.02 (assume @p19 (forall @t71 (or @t70 @t69))) % 0.30/1.02 (assume @p20 (forall @t71 (or @t72 @t69))) % 0.30/1.02 (assume @p21 (forall (@list @t6) (tptp.c_lessequals @t6 @t6 tptp.tc_nat))) % 0.30/1.02 (assume @p22 (forall (@list @t1 @t19 @t73) (or (tptp.c_lessequals @t1 @t19 tptp.tc_nat) (not (tptp.c_lessequals @t73 @t19 tptp.tc_nat)) (not (tptp.c_lessequals @t1 @t73 tptp.tc_nat))))) % 0.30/1.02 (assume @p23 (forall @t74 (tptp.c_lessequals @t9 @t9 tptp.tc_nat))) % 0.30/1.02 (assume @p24 (forall @t77 (or @t70 @t76 (not (tptp.c_lessequals @t29 @t75 @t2)) @t31))) % 0.30/1.02 (assume @p25 (forall (@list @t2 @t75 @t6 @t29) (or @t72 (tptp.c_lessequals @t75 @t6 @t2) (not (tptp.c_lessequals @t75 @t29 @t2)) @t60))) % 0.30/1.02 (assume @p26 (forall @t81 (or (not @t80) @t79))) % 0.30/1.02 (assume @p27 (forall @t81 (or (not @t79) @t80))) % 0.30/1.02 (assume @p28 (tptp.c_lessequals @t78 @t78 tptp.tc_nat)) % 0.30/1.02 (assume @p29 (forall @t87 (or @t86 (= @t83 @t82)))) % 0.30/1.02 (assume @p30 (forall @t87 (or @t86 (= @t85 @t84)))) % 0.30/1.02 (assume @p31 (forall @t91 (or @t90 @t89))) % 0.30/1.02 (assume @p32 (forall @t91 (or @t90 @t92))) % 0.30/1.02 (assume @p33 (forall @t99 (or @t90 @t98 (not @t96) (not @t94)))) % 0.30/1.02 (assume @p34 (forall @t102 (or @t90 @t101 (not @t76) @t31))) % 0.30/1.02 (assume @p35 (forall @t91 (or @t103 @t92))) % 0.30/1.02 (assume @p36 (forall @t91 (or @t103 @t89))) % 0.30/1.02 (assume @p37 (forall @t108 (or @t58 @t107 (not @t104)))) % 0.30/1.02 (assume @p38 (forall @t108 (or @t58 @t104 (not @t107)))) % 0.30/1.02 (assume @p39 (forall (@list @t2 @t95 @t62 @t109 @t93 @t110) (or @t114 (not (= @t113 (tptp.c_Divides_Odiv__class_Omod @t109 @t62 @t2))) (not (= @t112 (tptp.c_Divides_Odiv__class_Omod @t110 @t62 @t2))) (= @t111 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t110 @t109 @t2) @t62 @t2))))) % 0.30/1.02 (assume @p40 (forall @t91 (or @t72 @t115 @t31 @t60))) % 0.30/1.02 (assume @p41 (forall @t91 (or @t72 @t115 @t60 @t31))) % 0.30/1.02 (assume @p42 (forall @t51 (or (not (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t11 tptp.tc_nat) @t78)) @t118 @t116))) % 0.30/1.02 (assume @p43 (forall @t121 (or @t116 @t120 @t119))) % 0.30/1.02 (assume @p44 (forall @t74 (or @t122 (not (tptp.c_lessequals @t9 @t78 tptp.tc_nat))))) % 0.30/1.02 (assume @p45 (forall @t121 (or (= @t123 (tptp.c_Divides_Odiv__class_Omod @t12 @t9 tptp.tc_nat)) @t120))) % 0.30/1.02 (assume @p46 (forall @t124 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t78 tptp.tc_nat) @t11))) % 0.30/1.02 (assume @p47 (forall @t124 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t11 tptp.tc_nat) @t78))) % 0.30/1.02 (assume @p48 (forall @t71 (or @t128 @t127 @t126))) % 0.30/1.02 (assume @p49 (forall @t130 (or @t129 (= (tptp.c_HOL_Ominus__class_Ominus @t93 @t93 @t2) @t105)))) % 0.30/1.02 (assume @p50 (forall @t130 (or @t129 (= (tptp.c_HOL_Ominus__class_Ominus @t93 @t105 @t2) @t93)))) % 0.30/1.02 (assume @p51 (forall @t71 (or @t129 @t126))) % 0.30/1.02 (assume @p52 (forall @t71 (or @t131 @t126))) % 0.30/1.02 (assume @p53 (forall @t130 (or @t132 (= (tptp.c_Divides_Odiv__class_Omod @t93 @t93 @t2) @t105)))) % 0.30/1.02 (assume @p54 (forall @t130 (or @t132 (= (tptp.c_Divides_Odiv__class_Omod @t93 @t105 @t2) @t93)))) % 0.30/1.02 (assume @p55 (forall @t121 (or @t117 @t119))) % 0.30/1.02 (assume @p56 (forall @t121 (or @t118 @t49))) % 0.30/1.02 (assume @p57 (forall @t108 (or @t132 (= (tptp.c_Divides_Odiv__class_Omod @t133 @t95 @t2) @t133)))) % 0.30/1.02 (assume @p58 (forall @t130 (or @t132 (= (tptp.c_Divides_Odiv__class_Omod @t105 @t93 @t2) @t105)))) % 0.30/1.02 (assume @p59 (forall @t134 (or @t114 (= @t111 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t112 @t95 @t2) @t62 @t2))))) % 0.30/1.02 (assume @p60 (forall @t134 (or @t114 (= @t111 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t93 @t113 @t2) @t62 @t2))))) % 0.30/1.02 (assume @p61 (forall (@list @t6 @t135 @t2) (or @t137 (not @t136)))) % 0.30/1.02 (assume @p62 (forall (@list @t135 @t6 @t2) (or @t136 (not @t137)))) % 0.30/1.02 (assume @p63 (forall (@list @t138 @t9 @t11) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t138 @t9 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t138 @t11 tptp.tc_nat) tptp.tc_nat) @t119))) % 0.30/1.02 (assume @p64 (forall (@list @t11 @t138 @t9) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t11 @t138 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t9 @t138 tptp.tc_nat) tptp.tc_nat) @t119))) % 0.30/1.02 (assume @p65 (forall @t144 (or @t143 @t119 @t140 @t139))) % 0.30/1.02 (assume @p66 (forall (@list @t11 @t9 @t19) (or @t49 (not @t143) @t140 @t139))) % 0.30/1.02 (assume @p67 (forall (@list @t2 @t145 @t29 @t6) (or @t131 (not (= (tptp.c_HOL_Ominus__class_Ominus @t145 @t29 @t2) @t125)) (= @t145 @t29)))) % 0.30/1.02 (assume @p68 (forall (@list @t2 @t6 @t52 @t53) (or @t131 (not (= @t125 @t55)) (= @t52 @t53)))) % 0.30/1.02 (assume @p69 (forall @t144 (or (not (= @t142 @t141)) @t140 @t139 @t116))) % 0.30/1.02 (assume @p70 (forall @t91 (or (not (tptp.class_Int_Oring__char__0 @t2)) @t127 (not (= (tptp.c_Int_Onumber__class_Onumber__of @t6 @t2) (tptp.c_Int_Onumber__class_Onumber__of @t29 @t2))) @t115))) % 0.30/1.02 (assume @p71 (forall @t74 (= (tptp.c_HOL_Ominus__class_Ominus @t78 @t9 tptp.tc_nat) @t78))) % 0.30/1.02 (assume @p72 (forall (@list @t62 @t64 @t2 @t61) (or @t65 @t146))) % 0.30/1.02 (assume @p73 (forall (@list @t62 @t61 @t2 @t64) (or @t63 @t146))) % 0.30/1.02 (assume @p74 (forall @t91 (or @t90 @t147 @t31))) % 0.30/1.02 (assume @p75 (forall @t91 (or @t90 (not @t147) @t30))) % 0.30/1.02 (assume @p76 (forall @t91 (or @t90 (= @t88 @t29) @t60))) % 0.30/1.02 (assume @p77 (forall @t121 (tptp.c_lessequals @t12 @t11 tptp.tc_nat))) % 0.30/1.02 (assume @p78 (forall @t91 (or @t128 @t127 (not (= @t56 @t105)) @t115))) % 0.30/1.02 (assume @p79 (forall @t108 (or @t129 @t149 @t148))) % 0.30/1.02 (assume @p80 (forall @t108 (or @t131 @t149 @t148))) % 0.30/1.02 (assume @p81 (forall @t144 (or (= (tptp.c_HOL_Ominus__class_Ominus @t142 @t141 tptp.tc_nat) @t12) @t140 @t139))) % 0.30/1.02 (assume @p82 (forall (@list @t1 @t73 @t19) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t1 @t73 tptp.tc_nat) @t19 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t1 @t19 tptp.tc_nat) @t73 tptp.tc_nat)))) % 0.30/1.02 (assume @p83 (forall @t74 (tptp.c_lessequals @t78 @t9 tptp.tc_nat))) % 0.30/1.02 (assume @p84 (forall @t121 (tptp.c_lessequals @t123 @t11 tptp.tc_nat))) % 0.30/1.02 (assume @p85 (forall @t134 (or @t114 (= @t111 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t112 @t113 @t2) @t62 @t2))))) % 0.30/1.02 (assume @p86 (forall @t99 (or @t90 @t94 @t150))) % 0.30/1.02 (assume @p87 (forall (@list @t2 @t6 @t95 @t93) (or @t90 @t96 @t150))) % 0.30/1.02 (assume @p88 (forall @t152 (or @t90 @t151 (not (tptp.c_lessequals @t93 @t6 @t2))))) % 0.30/1.02 (assume @p89 (forall @t152 (or @t90 @t151 (not (tptp.c_lessequals @t95 @t6 @t2))))) % 0.30/1.02 (assume @p90 (forall @t102 (or @t90 @t30 @t153))) % 0.30/1.02 (assume @p91 (forall @t77 (or @t90 @t76 @t153))) % 0.30/1.02 (assume @p92 (forall (@list @t9 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t9 (tptp.c_HOL_Ominus__class_Ominus @t9 @t1 tptp.tc_nat) tptp.tc_nat) @t1) (not (tptp.c_lessequals @t1 @t9 tptp.tc_nat))))) % 0.30/1.02 (assume @p93 (forall @t158 (or @t157 (= (tptp.c_List_Odrop @t156 @t154 @t2) @t154)))) % 0.30/1.02 (assume @p94 (forall @t15 (or (not @t160) @t42))) % 0.30/1.02 (assume @p95 (forall @t15 (or @t160 @t43))) % 0.30/1.02 (assume @p96 (forall @t172 (or @t171 @t166 @t165))) % 0.30/1.02 (assume @p97 (forall @t175 (= (tptp.c_List_Otake @t9 @t174 @t2) (tptp.c_List_Oappend @t44 (tptp.c_List_Otake @t173 @t45 @t2) @t2)))) % 0.30/1.02 (assume @p98 (forall @t172 (or @t171 @t177 @t176))) % 0.30/1.02 (assume @p99 (forall @t172 (or @t171 (= @t169 @t178) @t176))) % 0.30/1.02 (assume @p100 (forall @t172 (or @t171 (= @t180 @t167) @t165))) % 0.30/1.02 (assume @p101 (forall @t175 (= (tptp.c_List_Odrop @t9 @t174 @t2) (tptp.c_List_Oappend @t10 (tptp.c_List_Odrop @t173 @t45 @t2) @t2)))) % 0.30/1.02 (assume @p102 (forall @t15 (or (not (= @t13 @t78)) (= @t14 @t4)))) % 0.30/1.02 (assume @p103 (forall (@list @t39 @t45 @t2 @t6 @t4) (or (not (= @t182 @t154)) @t181))) % 0.30/1.02 (assume @p104 (forall @t185 (or @t184 @t183))) % 0.30/1.02 (assume @p105 (forall (@list @t45 @t2 @t4) (or (tptp.c_List_Odistinct @t45 @t2) @t183))) % 0.30/1.02 (assume @p106 (forall @t18 (= @t4 @t186))) % 0.30/1.02 (assume @p107 (forall @t188 (= (tptp.c_List_Orev @t187 @t2) @t45))) % 0.30/1.02 (assume @p108 (forall @t18 (= @t186 @t4))) % 0.30/1.02 (assume @p109 (forall @t18 (or (not @t190) @t189))) % 0.30/1.02 (assume @p110 (forall @t18 (or @t191 @t190))) % 0.30/1.02 (assume @p111 (forall @t185 (= @t4 (tptp.c_List_Otake @t5 @t174 @t2)))) % 0.30/1.02 (assume @p112 (forall (@list @t24 @t26 @t19) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t28) @t19) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t194 @t19)) @t193)))) % 0.30/1.02 (assume @p113 (forall @t196 (= (tptp.c_List_Orev @t195 @t2) @t195))) % 0.30/1.02 (assume @p114 (forall (@list @t198 @t4 @t45 @t197 @t93 @t2) (= (tptp.c_List_Ofoldr @t198 @t199 @t93 @t197 @t2) (tptp.c_List_Ofoldr @t198 @t4 (tptp.c_List_Ofoldr @t198 @t45 @t93 @t197 @t2) @t197 @t2)))) % 0.30/1.02 (assume @p115 (forall @t202 (or @t201 @t200))) % 0.30/1.02 (assume @p116 (forall @t205 (or (not (= @t47 @t203)) @t204))) % 0.30/1.02 (assume @p117 (forall (@list @t207 @t1 @t22) (or (= (tptp.hAPP @t207 @t1) @t22) (not (tptp.c_Type_Otyping @t207 @t206 @t22))))) % 0.30/1.02 (assume @p118 (forall (@list @t198 @t208 @t197 @t2 @t210 @t6) (= @t212 @t209))) % 0.30/1.02 (assume @p119 (forall (@list @t93 @t95 @t155 @t210 @t197 @t2) (= @t214 (tptp.hAPP @t213 @t155)))) % 0.30/1.02 (assume @p120 (forall (@list @t217 @t215) (not (= @t218 @t216)))) % 0.30/1.02 (assume @p121 (forall @t202 (or @t201 (not @t219)))) % 0.30/1.02 (assume @p122 (forall @t220 (or @t219 @t181 (not @t201)))) % 0.30/1.02 (assume @p123 (forall (@list @t207 @t221 @t22 @t21 @t1 @t222 @t224) (or (tptp.c_Type_Otypings @t207 @t221 (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t22 @t21 @t207 @t221)) @t226 @t225 (not (tptp.c_Type_Otyping @t207 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t223 @t221 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t22))))) % 0.30/1.02 (assume @p124 (forall (@list @t207 @t222 @t22 @t1) (or (tptp.c_Type_Otypings @t207 @t222 (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t22 @t207 @t1 @t222)) @t227))) % 0.30/1.02 (assume @p125 (forall @t15 (= @t14 (tptp.c_List_Oappend (tptp.c_List_Odrop @t13 @t4 @t2) (tptp.c_List_Otake @t13 @t4 @t2) @t2)))) % 0.30/1.02 (assume @p126 (forall (@list @t25 @t26 @t22 @t21) (or (tptp.c_Type_Otyping @t25 @t228 @t23) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t25 @t78 @t22 tptp.tc_Type_Otype) @t26 @t21))))) % 0.30/1.02 (assume @p127 (forall @t231 (or (tptp.c_Type_Otypings @t207 @t222 (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t22 @t207 @t26 @t222)) @t230))) % 0.30/1.02 (assume @p128 (forall @t231 (or (tptp.c_Type_Otypings @t207 @t222 (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t22 @t207 @t26 @t222)) @t230))) % 0.30/1.02 (assume @p129 (forall @t234 (= (tptp.c_List_Orev @t233 @t2) (tptp.c_List_Otake @t232 @t47 @t2)))) % 0.30/1.02 (assume @p130 (forall @t234 (= (tptp.c_List_Orev @t235 @t2) (tptp.c_List_Odrop @t232 @t47 @t2)))) % 0.30/1.02 (assume @p131 (forall (@list @t163 @t2 @t161 @t167) (or @t237 @t236 @t176))) % 0.30/1.02 (assume @p132 (forall (@list @t161 @t2 @t163 @t169) (or @t238 @t165 (= @t170 (tptp.c_List_Oappend @t161 @t180 @t2))))) % 0.30/1.02 (assume @p133 (forall @t241 (or (= @t240 @t159) @t239))) % 0.30/1.02 (assume @p134 (forall @t241 (or (= @t240 @t203) (not @t239)))) % 0.30/1.02 (assume @p135 (forall (@list @t155 @t9 @t242) (or (= @t155 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t243 (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t9 @t242 @t155) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.c_Lambda_Obeta @t244 @t155))))) % 0.30/1.02 (assume @p136 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlast__Xinduct__1 @t39) @t247 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p137 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xdistinct__Xinduct__1 @t39) @t251 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p138 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xremove1__Xinduct__1 @t39) @t252 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p139 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlistset__Xinduct__1 @t39) @t253 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p140 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xzip__Xinduct__1 @t39) @t254 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p141 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__XdropWhile__Xinduct__1 @t39) @t255 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p142 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__XtakeWhile__Xinduct__1 @t39) @t256 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p143 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__update__Xinduct__1 @t39) @t257 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p144 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__Xinduct__1 @t39) @t258 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p145 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xmap__Xinduct__1 @t39) @t259 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p146 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xtake__Xinduct__1 @t39) @t260 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p147 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xfoldl__Xinduct__1 @t39) @t261 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p148 (forall @t250 (or @t249 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xconcat__Xinduct__1 @t39) @t262 tptp.t_a)))) @t246))) % 0.30/1.02 (assume @p149 (forall @t158 (or @t157 (= (tptp.c_List_Otake @t156 @t154 @t2) @t159)))) % 0.30/1.02 (assume @p150 (forall @t265 (or @t36 (tptp.c_List_Olinorder__class_Osorted @t44 @t2) @t264))) % 0.30/1.02 (assume @p151 (forall @t268 (or (not (= @t174 @t267)) @t266))) % 0.30/1.02 (assume @p152 (forall (@list @t45 @t4 @t2 @t32) (or (not (= (tptp.c_List_Oappend @t45 @t4 @t2) (tptp.c_List_Oappend @t32 @t4 @t2))) @t266))) % 0.30/1.02 (assume @p153 (forall @t270 (or @t269 @t116))) % 0.30/1.02 (assume @p154 (forall (@list @t6 @t2 @t4) (or (not (= @t203 @t47)) @t204))) % 0.30/1.02 (assume @p155 (forall @t202 (or (= @t271 (tptp.c_List_Olist_OCons @t6 @t40 @t2)) @t200))) % 0.30/1.02 (assume @p156 (forall @t265 (or @t36 (tptp.c_List_Olinorder__class_Osorted @t10 @t2) @t264))) % 0.30/1.02 (assume @p157 (forall @t124 (= @t273 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t273 @t272 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.30/1.02 (assume @p158 (forall @t41 (= (tptp.c_List_Oremdups @t40 @t2) (tptp.c_List_Ofilter @t39 @t16 @t2)))) % 0.30/1.02 (assume @p159 (forall @t274 (= (tptp.c_List_Odrop @t78 @t154 @t2) @t154))) % 0.30/1.02 (assume @p160 (forall (@list @t6 @t4 @t2 @t39 @t45) (or (not (= @t154 @t182)) @t181))) % 0.30/1.02 (assume @p161 (forall @t274 (= (tptp.c_List_Orev @t154 @t2) (tptp.c_List_Oappend @t47 @t203 @t2)))) % 0.30/1.02 (assume @p162 (forall (@list @t198 @t93 @t6 @t4 @t197 @t2) (= (tptp.c_List_Ofoldl @t198 @t93 @t275 @t2 @t197) (tptp.c_List_Ofoldl @t198 (tptp.hAPP (tptp.hAPP @t198 @t93) @t6) @t4 @t2 @t197)))) % 0.30/1.02 (assume @p163 (forall @t18 (= (tptp.c_List_Odrop @t78 @t4 @t2) @t4))) % 0.30/1.02 (assume @p164 (forall @t277 (= @t276 @t203))) % 0.30/1.02 (assume @p165 (forall (@list @t4 @t2 @t29 @t45) (or (not (= @t47 @t280)) (= @t4 @t279)))) % 0.30/1.02 (assume @p166 (forall @t281 (= @t67 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t64 @t61 @t66)))) % 0.30/1.02 (assume @p167 (forall @t91 (or @t90 @t282))) % 0.30/1.02 (assume @p168 (forall @t91 (or @t103 @t282))) % 0.30/1.02 (assume @p169 (forall @t286 (= @t284 @t285))) % 0.30/1.02 (assume @p170 (forall (@list @t2 @t29 @t32 @t6) (or @t36 @t34 @t38))) % 0.30/1.02 (assume @p171 (forall (@list @t25 @t6) (tptp.c_Type_Otyping @t25 (tptp.c_Lambda_OdB_OVar @t6) (tptp.hAPP @t25 @t6)))) % 0.30/1.02 (assume @p172 (forall @t290 (or @t289 (= @t284 @t24)))) % 0.30/1.02 (assume @p173 (forall (@list @t6 @t145 @t2 @t32) (= @t293 @t291))) % 0.30/1.02 (assume @p174 (forall (@list @t6 @t4 @t2 @t45) (= (tptp.c_List_Oappend @t154 @t45 @t2) (tptp.c_List_Olist_OCons @t6 @t174 @t2)))) % 0.30/1.02 (assume @p175 (forall @t18 (or @t296 @t294))) % 0.30/1.02 (assume @p176 (forall @t18 (or @t184 (not @t296)))) % 0.30/1.02 (assume @p177 (forall @t297 (= @t45 (tptp.c_List_Odrop @t5 @t174 @t2)))) % 0.30/1.02 (assume @p178 (forall @t41 (or (tptp.c_List_Odistinct @t40 @t2) @t294))) % 0.30/1.02 (assume @p179 (forall @t15 (or (not (= @t44 @t159)) @t298 @t122))) % 0.30/1.02 (assume @p180 (forall @t303 (= (tptp.c_List_Olist_Olist__case @t302 @t299 @t301 @t2 @t197) @t300))) % 0.30/1.02 (assume @p181 (forall @t274 (= (tptp.c_List_Oremove1 @t6 @t154 @t2) @t4))) % 0.30/1.02 (assume @p182 (forall (@list @t6 @t145 @t32 @t2) (= @t291 @t293))) % 0.30/1.02 (assume @p183 (forall (@list @t6 @t304 @t32 @t2) (= (tptp.c_List_Olist_OCons @t6 (tptp.c_List_Oappend @t304 @t32 @t2) @t2) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t6 @t304 @t2) @t32 @t2)))) % 0.30/1.02 (assume @p184 (forall @t307 (or @t306 @t305))) % 0.30/1.02 (assume @p185 (forall (@list @t283 @t222 @t24) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t283 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t24 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t308))) % 0.30/1.02 (assume @p186 (forall @t15 (= (tptp.c_List_Oappend @t44 @t10 @t2) @t4))) % 0.30/1.02 (assume @p187 (forall (@list @t2 @t4 @t6) (or @t36 @t263 (not (tptp.c_List_Olinorder__class_Osorted @t154 @t2))))) % 0.30/1.02 (assume @p188 (forall (@list @t310 @t24 @t26) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t311 @t24) (tptp.hAPP @t311 @t26)) @t309))) % 0.30/1.02 (assume @p189 (forall (@list @t24 @t310 @t26) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t27 @t310) @t313) @t309))) % 0.30/1.02 (assume @p190 (forall (@list @t45 @t2 @t29) (= (tptp.c_List_Orev @t279 @t2) @t280))) % 0.30/1.02 (assume @p191 (forall (@list @t6 @t2 @t29) (= @t314 (tptp.c_List_Oreplicate @t78 @t29 @t2)))) % 0.30/1.02 (assume @p192 (forall @t234 (or (tptp.c_List_Odistinct @t233 @t2) @t294))) % 0.30/1.02 (assume @p193 (forall @t18 (or @t315 @t294))) % 0.30/1.02 (assume @p194 (forall @t18 (or @t184 (not @t315)))) % 0.30/1.02 (assume @p195 (forall @t220 (or @t318 @t317))) % 0.30/1.02 (assume @p196 (forall @t18 (or @t191 @t184))) % 0.30/1.02 (assume @p197 (forall @t18 (or @t189 @t294))) % 0.30/1.02 (assume @p198 (forall @t277 (= @t314 @t159))) % 0.30/1.02 (assume @p199 (forall @t322 (or @t181 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons @t321 @t320 tptp.t_a)))) @t246 @t319))) % 0.30/1.02 (assume @p200 (forall @t202 (or @t181 @t317))) % 0.30/1.02 (assume @p201 (forall @t322 (or @t181 (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_OCons @t324 @t323 tptp.t_a)))) @t246 @t319))) % 0.30/1.02 (assume @p202 (forall @t286 (= @t285 @t284))) % 0.30/1.02 (assume @p203 (forall (@list @t283 @t1 @t24) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t283) @t1) (tptp.hAPP @t194 @t1)) @t325))) % 0.30/1.02 (assume @p204 (forall (@list @t6 @t26 @t2) (not (= (tptp.c_List_Olist_OCons @t6 @t26 @t2) @t26)))) % 0.30/1.02 (assume @p205 (forall (@list @t4 @t6 @t2) (not (= @t4 @t154)))) % 0.30/1.02 (assume @p206 (forall @t327 (or @t326 @t305))) % 0.30/1.02 (assume @p207 (forall (@list @t6 @t4 @t2 @t29) (= (tptp.c_List_Olist__update @t154 @t78 @t29 @t2) @t328))) % 0.30/1.02 (assume @p208 (forall (@list @t6 @t4 @t197) (= (tptp.c_List_Orotate1 @t275 @t197) (tptp.c_List_Oappend @t4 (tptp.c_List_Olist_OCons @t6 @t329 @t197) @t197)))) % 0.30/1.02 (assume @p209 (forall @t8 (= (tptp.c_Nat_Osize__class_Osize @t7 @t3) @t5))) % 0.30/1.02 (assume @p210 (forall @t274 (= @t154 @t330))) % 0.30/1.02 (assume @p211 (forall @t277 (= @t203 @t276))) % 0.30/1.02 (assume @p212 (forall @t332 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t312 @t206))) @t331))) % 0.30/1.02 (assume @p213 (forall @t270 (or @t269 @t115 (= @t11 @t78)))) % 0.30/1.02 (assume @p214 (forall (@list @t335 @t310 @t21 @t1 @t26 @t22) (or (not (tptp.c_Type_Otyping @t335 @t310 @t21)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t335 @t1 @t21 tptp.tc_Type_Otype) @t26 @t22)) (tptp.c_Type_Otyping @t335 @t334 @t22)))) % 0.30/1.02 (assume @p215 (forall (@list @t198 @t93 @t4 @t2 @t197) (= @t337 (tptp.c_List_Ofoldr (tptp.c_COMBC @t198 @t2 @t197 @t2) @t336 @t93 @t197 @t2)))) % 0.30/1.02 (assume @p216 (forall (@list @t64 @t6 @t61 @t2) (or @t340 @t339))) % 0.30/1.02 (assume @p217 (forall (@list @t61 @t6 @t64 @t2) (or @t341 @t339))) % 0.30/1.02 (assume @p218 (forall @t345 (or @t344 (not @t343) @t342))) % 0.30/1.02 (assume @p219 (forall @t71 (or @t36 (tptp.c_List_Olinorder__class_Osorted @t203 @t2)))) % 0.30/1.02 (assume @p220 (forall (@list @t24 @t26 @t9 @t287) (not (= @t348 @t346)))) % 0.30/1.02 (assume @p221 (forall @t234 (or (tptp.c_List_Odistinct @t235 @t2) @t294))) % 0.30/1.02 (assume @p222 (forall @t349 (or (tptp.c_Lambda_Obeta @t347 @t228) @t309))) % 0.30/1.02 (assume @p223 (forall (@list @t1 @t6 @t2) (= (tptp.c_List_Oappend @t350 @t203 @t2) (tptp.c_List_Olist_OCons @t6 @t350 @t2)))) % 0.30/1.02 (assume @p224 (forall @t351 (= (tptp.c_List_Orev @t174 @t2) (tptp.c_List_Oappend @t187 @t47 @t2)))) % 0.30/1.02 (assume @p225 (forall (@list @t198 @t93 @t4 @t45 @t197 @t2) (= (tptp.c_List_Ofoldl @t198 @t93 @t199 @t2 @t197) (tptp.c_List_Ofoldl @t198 @t337 @t45 @t2 @t197)))) % 0.30/1.02 (assume @p226 (forall @t205 (or @t184 (not (tptp.c_List_Odistinct @t154 @t2))))) % 0.30/1.02 (assume @p227 (forall (@list @t353 @t352 @t217) (not (= @t354 @t218)))) % 0.30/1.02 (assume @p228 (forall @t345 (= (tptp.c_List_Ofilter @t39 @t174 @t2) (tptp.c_List_Oappend @t40 @t182 @t2)))) % 0.30/1.02 (assume @p229 (forall (@list @t9 @t242) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t244)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t242 tptp.tc_Lambda_OdB))))) % 0.30/1.02 (assume @p230 (forall @t356 (= @t355 @t159))) % 0.30/1.02 (assume @p231 (forall @t18 (or @t298 (not (tptp.c_List_Onull @t4 @t2))))) % 0.30/1.02 (assume @p232 (forall @t356 (= @t159 @t357))) % 0.30/1.02 (assume @p233 (forall @t356 (= @t159 @t358))) % 0.30/1.02 (assume @p234 (forall @t297 (or (not (= @t45 @t174)) @t298))) % 0.30/1.02 (assume @p235 (forall @t351 (or (not (= @t174 @t45)) @t298))) % 0.30/1.02 (assume @p236 (forall @t351 (or (not (= @t4 @t174)) @t359))) % 0.30/1.02 (assume @p237 (forall @t351 (or (not (= @t174 @t4)) @t359))) % 0.30/1.02 (assume @p238 (forall @t277 (or (not (= @t361 @t159)) @t360))) % 0.30/1.02 (assume @p239 (forall @t15 (or (not (= @t14 @t159)) @t298))) % 0.30/1.02 (assume @p240 (forall (@list @t2 @t4) (or (not (= @t159 @t47)) @t298))) % 0.30/1.02 (assume @p241 (forall @t356 (tptp.c_List_Odistinct @t159 @t2))) % 0.30/1.02 (assume @p242 (forall (@list @t2 @t110 @t362) (not (= @t159 @t363)))) % 0.30/1.02 (assume @p243 (forall @t351 (or @t364 @t359))) % 0.30/1.02 (assume @p244 (forall @t351 (or @t364 @t298))) % 0.30/1.02 (assume @p245 (forall @t366 (or @t365 @t359))) % 0.30/1.02 (assume @p246 (forall @t366 (or @t365 @t298))) % 0.30/1.02 (assume @p247 (forall (@list @t198 @t93 @t197 @t2) (= (tptp.c_List_Ofoldl @t198 @t93 @t329 @t2 @t197) @t93))) % 0.30/1.02 (assume @p248 (forall @t356 (= @t358 @t159))) % 0.30/1.02 (assume @p249 (forall @t367 (= (tptp.c_List_Odrop @t9 @t159 @t2) @t159))) % 0.30/1.02 (assume @p250 (forall @t290 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t284) @t24) @t287 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t24))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t368 @t24) @t78) @t287 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.30/1.02 (assume @p251 (forall @t370 (or (= @t369 @t195) @t200))) % 0.30/1.02 (assume @p252 (forall (@list @t207 @t6 @t22 @t2) (= (tptp.hAPP (tptp.c_Type_Oshift @t207 @t6 @t22 @t2) @t6) @t22))) % 0.30/1.02 (assume @p253 (forall (@list @t283 @t6 @t4 @t2 @t29 @t45) (or (tptp.c_List_Olistrelp @t283 @t154 @t280 @t2) (not (tptp.c_List_Olistrelp @t283 @t4 @t45 @t2)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t283 @t6) @t29)))))) % 0.30/1.02 (assume @p254 (forall (@list @t9 @t222 @t283 @t287) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t243 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t284 @t287 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.30/1.02 (assume @p255 (forall @t102 (or @t103 @t372))) % 0.30/1.02 (assume @p256 (forall @t102 (or @t103 @t373))) % 0.30/1.02 (assume @p257 (forall @t102 (or @t90 @t373))) % 0.30/1.02 (assume @p258 (forall @t102 (or @t90 @t372))) % 0.30/1.02 (assume @p259 (forall (@list @t61 @t64 @t2 @t374) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t67 @t374 @t66) @t375))) % 0.30/1.02 (assume @p260 (forall (@list @t61 @t64 @t374 @t2) (= @t375 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t64 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t374 @t66) @t66)))) % 0.30/1.02 (assume @p261 (forall (@list @t376 @t215) (or (not (= (tptp.c_Lambda_OdB_OAbs @t376) @t216)) (= @t376 @t215)))) % 0.30/1.02 (assume @p262 (forall (@list @t6 @t29 @t4 @t2) (or (= (tptp.c_List_Oremove1 @t6 @t328 @t2) (tptp.c_List_Olist_OCons @t29 @t377 @t2)) @t115))) % 0.30/1.02 (assume @p263 (forall (@list @t4 @t378 @t2) (or (tptp.c_List_Odistinct (tptp.c_List_Osublist @t4 @t378 @t2) @t2) @t294))) % 0.30/1.02 (assume @p264 (forall @t356 (= (tptp.c_Nat_Osize__class_Osize @t159 @t3) @t78))) % 0.30/1.02 (assume @p265 (forall @t383 (or @t382 (= (tptp.c_Map_Omap__upds @t11 @t267 @t45 @t2 @t197) @t379)))) % 0.30/1.02 (assume @p266 (forall @t383 (or @t382 (= (tptp.c_Map_Omap__upds @t11 @t4 (tptp.c_List_Oappend @t45 @t32 @t197) @t2 @t197) @t379)))) % 0.30/1.02 (assume @p267 (forall (@list @t4 @t2 @t32) (or (not (= @t4 (tptp.c_List_Otake @t5 @t32 @t2))) (= (tptp.c_List_Oappend @t4 (tptp.c_List_Odrop @t5 @t32 @t2) @t2) @t32)))) % 0.30/1.02 (assume @p268 (forall (@list @t217 @t353 @t352) (not (= @t218 @t354)))) % 0.30/1.02 (assume @p269 (forall @t290 (or @t289 @t305))) % 0.30/1.02 (assume @p270 (forall @t274 (or (tptp.c_List_Odistinct @t377 @t2) @t294))) % 0.30/1.02 (assume @p271 (forall @t327 (or @t326 (= @t273 @t24)))) % 0.30/1.02 (assume @p272 (forall (@list @t283 @t287 @t24) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t283 @t287 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t288) @t325))) % 0.30/1.02 (assume @p273 (forall @t15 (= (tptp.c_Nat_Osize__class_Osize @t14 @t3) @t5))) % 0.30/1.02 (assume @p274 (forall @t71 (= @t159 @t314))) % 0.30/1.02 (assume @p275 (forall @t18 (= (tptp.c_Nat_Osize__class_Osize @t295 @t3) @t5))) % 0.30/1.02 (assume @p276 (forall @t349 (tptp.c_Lambda_Obeta @t348 (tptp.hAPP @t384 @t78)))) % 0.30/1.02 (assume @p277 (forall (@list @t22 @t21 @t207 @t1 @t222) (or (= @t22 @t21) @t226 @t227))) % 0.30/1.02 (assume @p278 (forall (@list @t9 @t6 @t2 @t19) (= (tptp.c_List_Oappend @t195 @t20 @t2) (tptp.c_List_Oappend @t20 @t195 @t2)))) % 0.30/1.02 (assume @p279 (forall @t389 (or @t388 (= @t385 @t352)))) % 0.30/1.02 (assume @p280 (forall @t389 (or @t388 (= @t386 @t353)))) % 0.30/1.02 (assume @p281 (forall (@list @t93 @t61) (or (= @t93 (tptp.c_List_Olist_OCons @t393 @t392 tptp.t_a)) @t391 @t390))) % 0.30/1.02 (assume @p282 (forall @t396 (or @t395 @t394))) % 0.30/1.02 (assume @p283 (forall @t396 (or @t395 @t308))) % 0.30/1.02 (assume @p284 (forall @t307 (or @t306 (= @t24 @t284)))) % 0.30/1.02 (assume @p285 (forall (@list @t1 @t26) (not (tptp.c_Lambda_Obeta @t206 @t26)))) % 0.30/1.02 (assume @p286 (forall (@list @t283 @t24 @t26) (or (not (= @t397 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t26 @t272 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t397 @t26)))) % 0.30/1.02 (assume @p287 (forall (@list @t6 @t39 @t4 @t2) (or (= (tptp.c_List_Oremove1 @t6 @t40 @t2) @t40) @t181))) % 0.30/1.02 (assume @p288 (forall @t370 (or (= @t369 @t159) @t181))) % 0.30/1.02 (assume @p289 (forall @t303 (= (tptp.c_List_Olist_Olist__rec @t302 @t299 @t301 @t2 @t197) (tptp.hAPP @t300 (tptp.c_List_Olist_Olist__rec @t302 @t299 @t248 @t2 @t197))))) % 0.30/1.02 (assume @p290 (forall @t18 (= (tptp.c_List_Otake @t78 @t4 @t2) @t159))) % 0.30/1.02 (assume @p291 (forall @t185 (or (not (= @t47 @t187)) @t398))) % 0.30/1.02 (assume @p292 (forall @t274 (= (tptp.c_List_Otake @t78 @t154 @t2) @t159))) % 0.30/1.02 (assume @p293 (forall (@list @t4 @t2 @t9) (or @t184 (not @t399)))) % 0.30/1.02 (assume @p294 (forall @t15 (or @t399 @t294))) % 0.30/1.02 (assume @p295 (forall @t196 (or (not (= @t195 @t159)) @t122))) % 0.30/1.02 (assume @p296 (forall (@list @t198 @t4 @t93 @t197 @t2) (= @t400 (tptp.c_List_Ofoldl (tptp.c_COMBC @t198 @t197 @t2 @t2) @t93 @t336 @t2 @t197)))) % 0.30/1.02 (assume @p297 (forall (@list @t198 @t208 @t402 @t401 @t210 @t2 @t197) (= (tptp.c_Fun_Ocomp @t198 (tptp.c_Fun_Ocomp @t208 @t402 @t401 @t210 @t2) @t210 @t197 @t2) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t198 @t208 @t210 @t197 @t401) @t402 @t401 @t197 @t2)))) % 0.30/1.02 (assume @p298 (forall @t196 (= (tptp.c_Nat_Osize__class_Osize @t195 @t3) @t9))) % 0.30/1.02 (assume @p299 (forall (@list @t2 @t9 @t6) (or (not (= @t159 @t195)) @t122))) % 0.30/1.02 (assume @p300 (forall @t274 (not (tptp.c_List_Onull @t154 @t2)))) % 0.30/1.02 (assume @p301 (forall @t18 (or (not (= @t5 @t78)) @t298))) % 0.30/1.02 (assume @p302 (forall @t91 (or @t103 @t403))) % 0.30/1.02 (assume @p303 (forall @t91 (or @t90 @t403))) % 0.30/1.02 (assume @p304 (forall @t281 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t67 @t66) @t67))) % 0.30/1.02 (assume @p305 (forall (@list @t198 @t6 @t4 @t197 @t93 @t2) (= (tptp.c_List_Ofoldr @t198 @t275 @t93 @t197 @t2) (tptp.hAPP @t404 @t400)))) % 0.30/1.02 (assume @p306 (forall (@list @t4 @t6 @t45 @t2 @t29) (= (tptp.c_List_Olist__update (tptp.c_List_Oappend @t4 @t46 @t2) @t5 @t29 @t2) (tptp.c_List_Oappend @t4 @t280 @t2)))) % 0.30/1.02 (assume @p307 (forall (@list @t2 @t6 @t4) (= @t330 @t154))) % 0.30/1.02 (assume @p308 (forall @t18 (tptp.c_List_Odistinct @t16 @t2))) % 0.30/1.02 (assume @p309 (forall @t71 (or @t90 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t6 @t6 @t2) @t6)))) % 0.30/1.02 (assume @p310 (forall @t405 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t61 @t61 @t66) @t61))) % 0.30/1.02 (assume @p311 (forall (@list @t161 @t2 @t163 @t167) (or (not (= (tptp.c_List_Oappend @t179 @t178 @t2) @t167)) @t238 @t237 @t236))) % 0.30/1.02 (assume @p312 (forall @t407 (or @t406 (= @t93 @t110)))) % 0.30/1.02 (assume @p313 (forall @t407 (or @t406 (= @t248 @t362)))) % 0.30/1.02 (assume @p314 (forall @t409 (or @t408 @t394))) % 0.30/1.02 (assume @p315 (forall @t409 (or @t408 @t116))) % 0.30/1.02 (assume @p316 (forall (@list @t207 @t411 @t22 @t26) (or (tptp.c_Type_Otyping @t207 @t411 @t22) (not (tptp.c_Lambda_Obeta @t26 @t411)) @t410))) % 0.30/1.02 (assume @p317 (forall @t366 (or @t36 @t263 @t412))) % 0.30/1.02 (assume @p318 (forall (@list @t2 @t45 @t4) (or @t36 (tptp.c_List_Olinorder__class_Osorted @t45 @t2) @t412))) % 0.30/1.02 (assume @p319 (forall (@list @t215 @t386 @t385) (not (= @t216 @t387)))) % 0.30/1.02 (assume @p320 (forall @t202 (or @t316 @t342 @t200))) % 0.30/1.02 (assume @p321 (forall (@list @t4 @t1 @t6 @t2 @t413 @t52) (or (= (tptp.c_List_Olist__update @t7 @t413 @t52 @t2) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t4 @t413 @t52 @t2) @t1 @t6 @t2)) (= @t1 @t413)))) % 0.30/1.02 (assume @p322 (forall (@list @t2 @t138) (or @t36 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremdups @t138 @t2) @t2) (not (tptp.c_List_Olinorder__class_Osorted @t138 @t2))))) % 0.30/1.02 (assume @p323 (forall (@list @t217 @t414) (or (not (= @t218 (tptp.c_Lambda_OdB_OVar @t414))) (= @t217 @t414)))) % 0.30/1.02 (assume @p324 (forall @t41 (or @t318 (not @t415)))) % 0.30/1.02 (assume @p325 (forall @t41 (or @t415 @t342))) % 0.30/1.02 (assume @p326 (forall (@list @t386 @t385 @t215) (not (= @t387 @t216)))) % 0.30/1.02 (assume @p327 (forall (@list @t215 @t217) (not (= @t216 @t218)))) % 0.30/1.02 (assume @p328 (forall (@list @t9 @t6 @t2 @t4) (= (tptp.c_List_Oappend @t195 @t154 @t2) (tptp.c_List_Olist_OCons @t6 (tptp.c_List_Oappend @t195 @t4 @t2) @t2)))) % 0.30/1.02 (assume @p329 (forall (@list @t93 @t95 @t210 @t197 @t2 @t62 @t416 @t401 @t155) (or (not (= @t213 (tptp.c_Fun_Ocomp @t62 @t416 @t401 @t197 @t2))) (= @t214 (tptp.hAPP @t62 (tptp.hAPP @t416 @t155)))))) % 0.30/1.02 (assume @p330 (forall (@list @t198 @t208 @t6 @t419 @t418 @t52 @t197 @t2 @t210 @t401 @t417) (or (not (= @t209 (tptp.hAPP @t419 (tptp.hAPP @t418 @t52)))) (= @t212 (tptp.hAPP (tptp.c_Fun_Ocomp @t419 @t418 @t401 @t2 @t417) @t52))))) % 0.30/1.02 (assume @p331 (forall @t18 (= (tptp.c_Nat_Osize__class_Osize @t47 @t3) @t5))) % 0.30/1.02 (assume @p332 (forall @t202 (or (= @t271 @t40) @t181))) % 0.30/1.02 (assume @p333 (forall (@list @t61 @t64 @t2 @t6) (or @t338 (not @t340) (not @t341)))) % 0.30/1.02 (assume @p334 (forall @t41 (= (tptp.c_List_Orev @t40 @t2) (tptp.c_List_Ofilter @t39 @t47 @t2)))) % 0.30/1.02 (assume @p335 (forall @t421 (or @t420 @t398))) % 0.30/1.02 (assume @p336 (forall @t421 (or @t420 @t115))) % 0.30/1.02 (assume @p337 (forall (@list @t283 @t24) (= @t397 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t397 @t272 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.30/1.02 (assume @p338 (forall (@list @t39 @t4 @t2 @t45) (or @t318 @t422))) % 0.30/1.02 (assume @p339 (forall (@list @t39 @t45 @t2 @t4) (or @t343 @t422))) % 0.30/1.02 (assume @p340 (forall @t15 (= (tptp.c_List_Orotate1 @t14 @t2) (tptp.c_List_Orotate @t9 @t295 @t2)))) % 0.30/1.02 (assume @p341 (forall (@list @t39 @t302 @t299 @t93 @t248) (or (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_Olist__case @t302 @t299 (tptp.c_List_Olist_OCons @t93 @t248 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t39 @t300))))) % 0.30/1.02 (assume @p342 (forall (@list @t39 @t302 @t299 @t145 @t423) (or (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_Olist__case @t302 @t299 (tptp.c_List_Olist_OCons @t145 @t423 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t39 (tptp.hAPP (tptp.hAPP @t299 @t145) @t423)))))) % 0.30/1.02 (assume @p343 (forall (@list @t4 @t1 @t6 @t2 @t29) (= (tptp.c_List_Olist__update @t7 @t1 @t29 @t2) (tptp.c_List_Olist__update @t4 @t1 @t29 @t2)))) % 0.30/1.02 (assume @p344 (forall @t268 (= (tptp.c_List_Oappend @t174 @t32 @t2) (tptp.c_List_Oappend @t4 (tptp.c_List_Oappend @t45 @t32 @t2) @t2)))) % 0.30/1.02 (assume @p345 (forall (@list @t4 @t304 @t221 @t2) (= (tptp.c_List_Oappend @t4 (tptp.c_List_Oappend @t304 @t221 @t2) @t2) (tptp.c_List_Oappend (tptp.c_List_Oappend @t4 @t304 @t2) @t221 @t2)))) % 0.30/1.02 (assume @p346 (forall (@list @t32 @t6 @t2 @t45) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t32 @t6 @t2) @t45 @t2) (tptp.c_List_Oappend @t32 (tptp.c_List_Oappend @t6 @t45 @t2) @t2)))) % 0.30/1.02 (assume @p347 (forall (@list @t4 @t6 @t222 @t2) (= (tptp.c_List_Oappend @t4 (tptp.c_List_Oappend @t6 @t222 @t2) @t2) (tptp.c_List_Oappend (tptp.c_List_Oappend @t4 @t6 @t2) @t222 @t2)))) % 0.30/1.02 (assume @p348 (forall (@list @t2 @t93 @t4) (or @t36 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremove1 @t93 @t4 @t2) @t2) @t264))) % 0.30/1.02 (assume @p349 (forall (@list @t207 @t1 @t21 @t26 @t22) (or (tptp.c_Type_Otyping @t425 @t424 @t22) @t410))) % 0.30/1.02 (assume @p350 (forall @t188 (= @t45 @t426))) % 0.30/1.02 (assume @p351 (forall (@list @t2 @t45) (= @t426 @t45))) % 0.30/1.02 (assume @p352 (forall @t18 (= @t4 @t427))) % 0.30/1.02 (assume @p353 (forall @t277 (= @t6 (tptp.c_List_Oappend @t159 @t6 @t2)))) % 0.30/1.02 (assume @p354 (forall @t18 (= @t427 @t4))) % 0.30/1.02 (assume @p355 (forall @t18 (or (not (= @t295 @t159)) @t298))) % 0.30/1.02 (assume @p356 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t247)) @t246))) % 0.30/1.02 (assume @p357 (forall @t367 (= (tptp.c_List_Otake @t9 @t159 @t2) @t159))) % 0.30/1.02 (assume @p358 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t256)) @t246))) % 0.30/1.02 (assume @p359 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t257)) @t246))) % 0.30/1.02 (assume @p360 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t261)) @t246))) % 0.30/1.02 (assume @p361 (forall @t428 (tptp.c_List_Olist__all @t39 @t159 @t2))) % 0.30/1.02 (assume @p362 (forall @t356 (= (tptp.c_List_Orotate1 @t159 @t2) @t159))) % 0.30/1.02 (assume @p363 (forall @t428 (not (tptp.c_List_Olist__ex @t39 @t159 @t2)))) % 0.30/1.02 (assume @p364 (forall @t356 (tptp.c_List_Onull @t159 @t2))) % 0.30/1.02 (assume @p365 (forall (@list @t39 @t302 @t299) (or (not (tptp.hBOOL (tptp.hAPP @t39 (tptp.c_List_Olist_Olist__case @t302 @t299 (tptp.c_List_Olist_ONil tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t39 @t302))))) % 0.30/1.02 (assume @p366 (forall (@list @t198 @t197 @t93 @t2) (= (tptp.c_List_Ofoldr @t198 @t329 @t93 @t197 @t2) @t93))) % 0.30/1.02 (assume @p367 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t254)) @t246))) % 0.30/1.02 (assume @p368 (forall (@list @t2 @t61) (= (tptp.c_List_Osublist @t159 @t61 @t2) @t159))) % 0.30/1.02 (assume @p369 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t253)) @t246))) % 0.30/1.02 (assume @p370 (forall @t429 (= (tptp.c_List_Olist_Olist__rec @t302 @t299 @t329 @t2 @t197) @t302))) % 0.30/1.02 (assume @p371 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t255)) @t246))) % 0.30/1.02 (assume @p372 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t260)) @t246))) % 0.30/1.02 (assume @p373 (forall @t356 (or @t36 (tptp.c_List_Olinorder__class_Osorted @t159 @t2)))) % 0.30/1.02 (assume @p374 (forall @t430 (= (tptp.c_List_Ofiltermap @t198 @t329 @t197 @t2) @t159))) % 0.30/1.02 (assume @p375 (forall @t71 (or (not (= @t159 @t361)) @t360))) % 0.30/1.02 (assume @p376 (forall @t428 (= (tptp.c_List_Ofilter @t39 @t159 @t2) @t159))) % 0.30/1.02 (assume @p377 (forall (@list @t2 @t19 @t6) (= (tptp.c_List_Olist__update @t159 @t19 @t6 @t2) @t159))) % 0.30/1.02 (assume @p378 (forall (@list @t2 @t1 @t29) (= (tptp.c_List_Olist__update @t159 @t1 @t29 @t2) @t159))) % 0.30/1.02 (assume @p379 (forall (@list @t2 @t1 @t155) (= (tptp.c_List_Olist__update @t159 @t1 @t155 @t2) @t159))) % 0.30/1.02 (assume @p380 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t262)) @t246))) % 0.30/1.02 (assume @p381 (forall (@list @t6 @t145 @t2) (not (= @t292 @t159)))) % 0.30/1.02 (assume @p382 (forall (@list @t110 @t362 @t2) (not (= @t363 @t159)))) % 0.30/1.02 (assume @p383 (forall @t277 (= (tptp.c_List_Oremove1 @t6 @t159 @t2) @t159))) % 0.30/1.02 (assume @p384 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t251)) @t246))) % 0.30/1.02 (assume @p385 (forall (@list @t11 @t431 @t197 @t2) (= (tptp.c_Map_Omap__upds @t11 @t431 @t329 @t2 @t197) @t11))) % 0.30/1.02 (assume @p386 (forall (@list @t11 @t2 @t432 @t197) (= (tptp.c_Map_Omap__upds @t11 @t159 @t432 @t2 @t197) @t11))) % 0.30/1.02 (assume @p387 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t252)) @t246))) % 0.30/1.02 (assume @p388 (forall @t429 (= (tptp.c_List_Olist_Olist__case @t302 @t299 @t329 @t2 @t197) @t302))) % 0.30/1.02 (assume @p389 (forall @t18 (or (not (= @t47 @t159)) @t298))) % 0.30/1.02 (assume @p390 (forall @t367 (= (tptp.c_List_Orotate @t9 @t159 @t2) @t159))) % 0.30/1.02 (assume @p391 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t258)) @t246))) % 0.30/1.02 (assume @p392 (forall @t356 (= @t159 @t355))) % 0.30/1.02 (assume @p393 (forall (@list @t283 @t2) (tptp.c_List_Olistrelp @t283 @t159 @t159 @t2))) % 0.30/1.02 (assume @p394 (forall @t250 (or @t249 (tptp.hBOOL (tptp.hAPP @t39 @t259)) @t246))) % 0.30/1.02 (assume @p395 (forall @t356 (= @t357 @t159))) % 0.30/1.02 (assume @p396 (forall (@list @t4 @t19 @t6 @t2) (or (not (= (tptp.c_List_Olist__update @t4 @t19 @t6 @t2) @t159)) @t298))) % 0.30/1.02 (assume @p397 (forall @t434 (= (tptp.c_List_Odrop @t9 @t433 @t2) (tptp.c_List_Omap @t198 (tptp.c_List_Odrop @t9 @t4 @t197) @t197 @t2)))) % 0.30/1.02 (assume @p398 (forall (@list @t198 @t4 @t2) (or (not (= (tptp.hAPP @t198 @t435) @t435)) (= (tptp.c_List_Omap @t198 @t4 @t2 @t2) @t4)))) % 0.30/1.02 (assume @p399 (forall (@list @t4 @t197 @t198 @t2) (or (tptp.c_List_Odistinct @t4 @t197) (not (tptp.c_List_Odistinct @t433 @t2))))) % 0.30/1.02 (assume @p400 (forall (@list @t198 @t4 @t45 @t197 @t2) (= (tptp.c_List_Omap @t198 @t199 @t197 @t2) (tptp.c_List_Oappend @t433 @t436 @t2)))) % 0.30/1.02 (assume @p401 (forall (@list @t198 @t4 @t197 @t2 @t45) (or (not (= @t433 @t436)) (= @t437 @t381)))) % 0.30/1.02 (assume @p402 (forall (@list @t198 @t9 @t6 @t197 @t2) (= (tptp.c_List_Omap @t198 (tptp.c_List_Oreplicate @t9 @t6 @t197) @t197 @t2) (tptp.c_List_Oreplicate @t9 @t404 @t2)))) % 0.30/1.02 (assume @p403 (forall @t438 (= (tptp.c_Nat_Osize__class_Osize @t433 @t3) @t437))) % 0.30/1.02 (assume @p404 (forall @t434 (= (tptp.c_List_Orotate @t9 @t433 @t2) (tptp.c_List_Omap @t198 (tptp.c_List_Orotate @t9 @t4 @t197) @t197 @t2)))) % 0.30/1.02 (assume @p405 (forall @t438 (= (tptp.c_List_Orev @t433 @t2) (tptp.c_List_Omap @t198 @t336 @t197 @t2)))) % 0.30/1.02 (assume @p406 (forall (@list @t198 @t208 @t4 @t2 @t197) (or (not (= (tptp.hAPP @t198 @t439) (tptp.hAPP @t208 @t439))) (= (tptp.c_List_Omap @t198 @t4 @t2 @t197) (tptp.c_List_Omap @t208 @t4 @t2 @t197))))) % 0.30/1.02 (assume @p407 (forall @t434 (= (tptp.c_List_Otake @t9 @t433 @t2) (tptp.c_List_Omap @t198 (tptp.c_List_Otake @t9 @t4 @t197) @t197 @t2)))) % 0.30/1.02 (assume @p408 (forall (@list @t198 @t208 @t4 @t210 @t197 @t2) (= (tptp.c_List_Omap @t198 (tptp.c_List_Omap @t208 @t4 @t210 @t197) @t197 @t2) (tptp.c_List_Omap @t211 @t4 @t210 @t2)))) % 0.30/1.02 (assume @p409 (forall (@list @t198 @t6 @t145 @t197 @t2) (= (tptp.c_List_Omap @t198 (tptp.c_List_Olist_OCons @t6 @t145 @t197) @t197 @t2) (tptp.c_List_Olist_OCons @t404 (tptp.c_List_Omap @t198 @t145 @t197 @t2) @t2)))) % 0.30/1.02 (assume @p410 (forall (@list @t198 @t145 @t423 @t197 @t2) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t198 @t145) (tptp.c_List_Omap @t198 @t423 @t197 @t2) @t2) (tptp.c_List_Omap @t198 (tptp.c_List_Olist_OCons @t145 @t423 @t197) @t197 @t2)))) % 0.30/1.02 (assume @p411 (forall (@list @t198 @t6 @t4 @t197 @t2) (= (tptp.c_List_Omap @t198 @t275 @t197 @t2) (tptp.c_List_Olist_OCons @t404 @t433 @t2)))) % 0.30/1.02 (assume @p412 (forall (@list @t198 @t208 @t6 @t2 @t197) (or (not (= (tptp.hAPP @t198 @t440) (tptp.hAPP @t208 @t440))) (= (tptp.c_List_Omap @t198 @t6 @t2 @t197) (tptp.c_List_Omap @t208 @t6 @t2 @t197))))) % 0.30/1.02 (assume @p413 (forall (@list @t198 @t208 @t4 @t197 @t2) (or (not (= (tptp.hAPP @t198 @t441) (tptp.hAPP @t208 @t441))) (= @t433 (tptp.c_List_Omap @t208 @t4 @t197 @t2))))) % 0.30/1.02 (assume @p414 (forall (@list @t198 @t4 @t19 @t29 @t197 @t2) (= (tptp.c_List_Omap @t198 (tptp.c_List_Olist__update @t4 @t19 @t29 @t197) @t197 @t2) (tptp.c_List_Olist__update @t433 @t19 (tptp.hAPP @t198 @t29) @t2)))) % 0.30/1.02 (assume @p415 (forall (@list @t26 @t310 @t24 @t19) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t313) @t24) @t19) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t333 @t24) @t19)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t310) @t24) @t19))))) % 0.30/1.02 (assume @p416 (forall (@list @t19 @t310) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t19)) @t310) @t19) @t310))) % 0.30/1.02 (assume @p417 (forall (@list @t283 @t26 @t1 @t24) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t368 @t26) @t1) (tptp.hAPP @t384 @t1)) @t325))) % 0.30/1.02 (assume @p418 (forall (@list @t26 @t19 @t24) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t193) @t24) @t19) @t26))) % 0.30/1.02 (assume @p419 (forall (@list @t26 @t222 @t1) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t229) @t1) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t424 @t443 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.30/1.02 (assume @p420 (forall (@list @t207 @t1 @t21 @t222 @t224) (or (tptp.c_Type_Otypings @t425 @t443 @t224) @t225))) % 0.30/1.02 (assume @p421 (forall @t332 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t424)) @t331))) % 0.30/1.02 (assume @p422 (forall @t74 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t243)))) % 0.30/1.02 (assume @p423 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.30/1.02 (assume @p424 (forall @t286 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t284)) @t444))) % 0.30/1.02 (assume @p425 (forall (@list @t61 @t4 @t45 @t2) (or @t447 (not @t446) (not @t445)))) % 0.30/1.02 (assume @p426 (forall (@list @t61 @t4 @t2) (or @t445 (not (tptp.hBOOL (tptp.hAPP @t61 (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 @t61 @t4 @t2))))))) % 0.30/1.02 (assume @p427 (forall (@list @t61 @t64 @t2 @t138) (or (tptp.c_List_Olistsp @t67 @t138 @t2) (not (tptp.c_List_Olistsp @t64 @t138 @t2)) (not (tptp.c_List_Olistsp @t61 @t138 @t2))))) % 0.30/1.02 (assume @p428 (forall (@list @t61 @t45 @t2 @t4) (or @t446 @t448))) % 0.30/1.02 (assume @p429 (forall (@list @t61 @t4 @t2 @t45) (or @t445 @t448))) % 0.30/1.02 (assume @p430 (forall @t322 (or @t181 (tptp.hBOOL (tptp.hAPP @t61 @t324)) @t246 @t319))) % 0.30/1.02 (assume @p431 (forall @t322 (or @t181 (tptp.hBOOL (tptp.hAPP @t39 @t323)) @t246 @t319))) % 0.30/1.02 (assume @p432 (forall @t322 (or @t181 (tptp.hBOOL (tptp.hAPP @t61 @t321)) @t246 @t319))) % 0.30/1.02 (assume @p433 (forall @t322 (or @t181 (tptp.hBOOL (tptp.hAPP @t39 @t320)) @t246 @t319))) % 0.30/1.02 (assume @p434 (forall @t449 (or (tptp.c_List_Olistsp @t61 @t392 tptp.t_a) @t391 @t390))) % 0.30/1.02 (assume @p435 (forall @t449 (or (tptp.hBOOL (tptp.hAPP @t61 @t393)) @t391 @t390))) % 0.30/1.02 (assume @p436 (forall @t322 (or @t181 (tptp.c_List_Olistsp @t61 @t323 tptp.t_a) @t246 @t319))) % 0.30/1.02 (assume @p437 (forall @t322 (or @t181 (tptp.c_List_Olistsp @t61 @t320 tptp.t_a) @t246 @t319))) % 0.30/1.02 (assume @p438 (forall (@list @t207 @t310 @t1 @t222 @t224 @t22) (or (tptp.c_Type_Otypings @t207 @t451 @t224) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t207 @t1 @t22 tptp.tc_Type_Otype) @t222 @t224)) (not (tptp.c_Type_Otyping @t207 @t310 @t22))))) % 0.30/1.02 (assume @p439 (not (= tptp.v_n____ tptp.v_i____))) % 0.30/1.02 (assume @p440 (forall (@list @t283 @t1 @t73) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t368 @t206) @t73))) @t444))) % 0.30/1.02 (assume @p441 (forall (@list @t222) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.hAPP @t442 @t78) @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t222 tptp.tc_Lambda_OdB))))) % 0.30/1.02 (assume @p442 (forall (@list @t26 @t222 @t310 @t1) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t229) @t310) @t1) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t334 @t451 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.30/1.02 (assume @p443 (forall @t438 (or (not (= @t433 @t159)) @t452))) % 0.30/1.02 (assume @p444 (forall (@list @t2 @t198 @t4 @t197) (or (not (= @t159 @t433)) @t452))) % 0.30/1.02 (assume @p445 (forall @t405 (tptp.c_List_Olistsp @t61 @t159 @t2))) % 0.30/1.02 (assume @p446 (forall (@list @t39 @t197 @t210 @t2 @t453 @t454) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t39 @t197 @t210 @t2) @t453) @t454) (tptp.hAPP (tptp.hAPP @t39 @t454) @t453)))) % 0.30/1.02 (assume @p447 @t456) % 0.30/1.02 (assume @p448 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.30/1.02 (assume @p449 (forall (@list @t2 @t198 @t197) (= @t159 @t455))) % 0.30/1.02 (assume @p450 (not @t458)) % 0.30/1.02 (assume @p451 (forall @t463 (or (tptp.class_Lattices_Olower__semilattice @t462) @t460))) % 0.30/1.02 (assume @p452 (forall @t463 (or (tptp.class_Orderings_Opreorder @t462) (not (tptp.class_Orderings_Opreorder @t459))))) % 0.30/1.02 (assume @p453 (forall @t463 (or (tptp.class_Lattices_Olattice @t462) @t460))) % 0.30/1.02 (assume @p454 (forall @t463 (or (tptp.class_Orderings_Oorder @t462) (not (tptp.class_Orderings_Oorder @t459))))) % 0.30/1.02 (assume @p455 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.30/1.02 (assume @p456 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.30/1.02 (assume @p457 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.30/1.02 (assume @p458 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.30/1.02 (assume @p459 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.30/1.02 (assume @p460 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.30/1.02 (assume @p461 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.30/1.02 (assume @p462 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.30/1.02 (assume @p463 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.30/1.02 (assume @p464 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.30/1.02 (assume @p465 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint)) % 0.30/1.02 (assume @p466 (tptp.class_Lattices_Olower__semilattice tptp.tc_Int_Oint)) % 0.30/1.02 (assume @p467 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint)) % 0.30/1.02 (assume @p468 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p469 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p470 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p471 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p472 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p473 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p474 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p475 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p476 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p477 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.30/1.03 (assume @p478 (forall (@list @t39 @t453 @t454 @t197 @t2 @t210) (= (tptp.c_COMBB @t39 @t453 @t454 @t197 @t2 @t210) (tptp.hAPP @t39 (tptp.hAPP @t453 @t454))))) % 0.30/1.03 (assume @p479 (forall @t277 (tptp.c_fequal @t6 @t6 @t2))) % 0.30/1.03 (assume @p480 (forall (@list @t465 @t464 @t2) (or (= @t465 @t464) (not (tptp.c_fequal @t465 @t464 @t2))))) % 0.30/1.03 (step @p481 :rule evaluate :args ((= false true))) % 0.30/1.03 (step @p482 :rule instantiate :premises (@p445) :args ((@list tptp.c_InductTermi_OIT tptp.tc_Lambda_OdB))) % 0.30/1.03 (step @p483 :rule true_intro :premises (@p482)) % 0.30/1.03 (step @p484 :rule refl :args (tptp.tc_Lambda_OdB)) % 0.30/1.03 (step @p485 :rule eq-symm :args (@t455 @t159)) % 0.30/1.03 (step @p486 :rule cong :premises (@p485) :args (@t456)) % 0.30/1.03 (step @p487 :rule eq_resolve :premises (@p447 @p486)) % 0.30/1.03 (step @p488 :rule instantiate :premises (@p487) :args ((@list @t457 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.30/1.03 (step @p489 :rule symm :premises (@p488)) % 0.30/1.03 (step @p490 :rule refl :args (tptp.c_InductTermi_OIT)) % 0.30/1.03 (step @p491 :rule cong :premises (@p490 @p489 @p484) :args (@t458)) % 0.30/1.03 (step @p492 :rule false_intro :premises (@p450)) % 0.30/1.03 (step @p493 :rule symm :premises (@p492)) % 0.30/1.03 (step @p494 :rule trans :premises (@p493 @p491 @p483)) % 0.30/1.03 (step @p495 false :rule eq_resolve :premises (@p494 @p481)) % 0.30/1.03 ) % 0.30/1.03 % SZS output end Proof % 0.30/1.03 % cvc5 exiting %------------------------------------------------------------------------------