%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL830-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:59 AM UTC 2026 % Result : Unsatisfiable 0.63s 0.97s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL830-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n018.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Fri Sep 4 16:06:17 UTC 2026 % 0.11/0.37 % CPUTime : % 0.23/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.23/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.97 % SZS status Unsatisfiable % 0.63/0.97 % SZS output start Proof % 0.63/1.00 ( % 0.63/1.00 (declare-sort $$unsorted 0) % 0.63/1.00 (declare-const tptp.v_n____ $$unsorted) % 0.63/1.00 (declare-const tptp.v_i____ $$unsorted) % 0.63/1.00 (declare-const tptp.v_a____ $$unsorted) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__Xmap__eq__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__XCons__eq__map__D__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__XCons__eq__map__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__Xmap__eq__Cons__conv__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__Xmap__cong__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_OListMem (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Olistrelp (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Oremove1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_OremoveAll (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.v_e____ $$unsorted) % 0.63/1.00 (declare-const tptp.t_b $$unsorted) % 0.63/1.00 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.v_ea______ $$unsorted) % 0.63/1.00 (declare-const tptp.v_ua______ $$unsorted) % 0.63/1.00 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Orev (-> $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Ofilter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Olinorder__class_Osorted (-> $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Otake (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.tc_nat $$unsorted) % 0.63/1.00 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.63/1.00 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_OdropWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Orotate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.v_as____ $$unsorted) % 0.63/1.00 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.63/1.00 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Olist_Olist__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__Xmap__eq__Cons__D__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Olist__all (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__XCons__eq__map__conv__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Odrop (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.v_u____ $$unsorted) % 0.63/1.00 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__Xmap__ext__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.63/1.00 (declare-const tptp.c_List_Olist__update (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Olist__all2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_OtakeWhile (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__Xmap__eq__Cons__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Odistinct (-> $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__Xmap__idI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.63/1.00 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__XCons__eq__map__D__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Olist__ex (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.63/1.00 (declare-const tptp.c_List_Omap__filter (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_List_Osko__List__Xmap__eq__Cons__D__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.63/1.00 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.63/1.00 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.c_Type_Otype_OFun (-> $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.v_T____ $$unsorted) % 0.63/1.00 (declare-const tptp.t_a $$unsorted) % 0.63/1.00 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.63/1.00 (declare-const tptp.tc_bool $$unsorted) % 0.63/1.00 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.63/1.00 (define @t1 () (@var "T_a" $$unsorted)) % 0.63/1.00 (define @t2 () (@var "V_x" $$unsorted)) % 0.63/1.00 (define @t3 () (@var "V_i" $$unsorted)) % 0.63/1.00 (define @t4 () (@var "V_k" $$unsorted)) % 0.63/1.00 (define @t5 () (tptp.c_List_Oreplicate @t4 @t2 @t1)) % 0.63/1.00 (define @t6 () (@var "V_xs" $$unsorted)) % 0.63/1.00 (define @t7 () (tptp.tc_List_Olist @t1)) % 0.63/1.00 (define @t8 () (tptp.c_Nat_Osize__class_Osize @t6 @t7)) % 0.63/1.00 (define @t9 () (@var "V_n" $$unsorted)) % 0.63/1.00 (define @t10 () (tptp.c_Divides_Odiv__class_Omod @t9 @t8 tptp.tc_nat)) % 0.63/1.00 (define @t11 () (tptp.c_List_Orotate @t9 @t6 @t1)) % 0.63/1.00 (define @t12 () (@list @t9 @t6 @t1)) % 0.63/1.00 (define @t13 () (tptp.c_List_Odrop @t9 @t6 @t1)) % 0.63/1.00 (define @t14 () (@var "V_m" $$unsorted)) % 0.63/1.00 (define @t15 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t9 tptp.tc_nat)) % 0.63/1.00 (define @t16 () (@var "V_P" $$unsorted)) % 0.63/1.00 (define @t17 () (tptp.c_List_OdropWhile @t16 @t6 @t1)) % 0.63/1.00 (define @t18 () (@list @t16 @t6 @t1)) % 0.63/1.00 (define @t19 () (tptp.c_List_OtakeWhile @t16 @t6 @t1)) % 0.63/1.00 (define @t20 () (tptp.c_Nat_Osize__class_Osize @t19 @t7)) % 0.63/1.00 (define @t21 () (tptp.c_List_Olist__update @t6 @t3 @t2 @t1)) % 0.63/1.00 (define @t22 () (@list @t6 @t3 @t2 @t1)) % 0.63/1.00 (define @t23 () (@var "V_U" $$unsorted)) % 0.63/1.00 (define @t24 () (@var "V_T" $$unsorted)) % 0.63/1.00 (define @t25 () (tptp.c_Type_Otype_OFun @t24 @t23)) % 0.63/1.00 (define @t26 () (@var "V_s" $$unsorted)) % 0.63/1.00 (define @t27 () (@var "V_env" $$unsorted)) % 0.63/1.00 (define @t28 () (@var "V_t" $$unsorted)) % 0.63/1.00 (define @t29 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t26)) % 0.63/1.00 (define @t30 () (tptp.hAPP @t29 @t28)) % 0.63/1.00 (define @t31 () (@var "V_y" $$unsorted)) % 0.63/1.00 (define @t32 () (tptp.c_lessequals @t2 @t31 @t1)) % 0.63/1.00 (define @t33 () (not @t32)) % 0.63/1.00 (define @t34 () (@var "V_zs" $$unsorted)) % 0.63/1.00 (define @t35 () (tptp.c_List_Olist_OCons @t31 @t34 @t1)) % 0.63/1.00 (define @t36 () (tptp.c_List_Olinorder__class_Osorted @t35 @t1)) % 0.63/1.00 (define @t37 () (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons @t2 @t35 @t1) @t1)) % 0.63/1.00 (define @t38 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.63/1.00 (define @t39 () (@list @t1 @t2 @t31 @t34)) % 0.63/1.00 (define @t40 () (not @t37)) % 0.63/1.00 (define @t41 () (tptp.c_List_Ofilter @t16 @t6 @t1)) % 0.63/1.00 (define @t42 () (tptp.c_lessequals @t8 @t9 tptp.tc_nat)) % 0.63/1.00 (define @t43 () (not @t42)) % 0.63/1.00 (define @t44 () (tptp.c_List_Otake @t9 @t6 @t1)) % 0.63/1.00 (define @t45 () (@var "V_ys" $$unsorted)) % 0.63/1.00 (define @t46 () (tptp.c_Nat_Osize__class_Osize @t45 @t7)) % 0.63/1.00 (define @t47 () (tptp.c_List_Olist_OCons @t2 @t45 @t1)) % 0.63/1.00 (define @t48 () (tptp.c_List_Orev @t6 @t1)) % 0.63/1.00 (define @t49 () (tptp.c_lessequals @t31 @t2 @t1)) % 0.63/1.00 (define @t50 () (tptp.c_lessequals @t14 @t9 tptp.tc_nat)) % 0.63/1.00 (define @t51 () (tptp.c_lessequals @t9 @t14 tptp.tc_nat)) % 0.63/1.00 (define @t52 () (@list @t9 @t14)) % 0.63/1.00 (define @t53 () (@var "V_x_H" $$unsorted)) % 0.63/1.00 (define @t54 () (@var "V_y_H" $$unsorted)) % 0.63/1.00 (define @t55 () (tptp.c_lessequals @t54 @t53 @t1)) % 0.63/1.00 (define @t56 () (tptp.c_HOL_Ominus__class_Ominus @t53 @t54 @t1)) % 0.63/1.00 (define @t57 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t31 @t1)) % 0.63/1.00 (define @t58 () (not (= @t57 @t56))) % 0.63/1.00 (define @t59 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.63/1.00 (define @t60 () (@list @t1 @t2 @t31 @t53 @t54)) % 0.63/1.00 (define @t61 () (not @t49)) % 0.63/1.00 (define @t62 () (tptp.c_lessequals @t2 @t2 @t1)) % 0.63/1.00 (define @t63 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.63/1.00 (define @t64 () (@list @t1 @t2)) % 0.63/1.00 (define @t65 () (not (tptp.class_Orderings_Oorder @t1))) % 0.63/1.00 (define @t66 () (@var "V_j" $$unsorted)) % 0.63/1.00 (define @t67 () (@list @t9)) % 0.63/1.00 (define @t68 () (@var "V_z" $$unsorted)) % 0.63/1.00 (define @t69 () (tptp.c_lessequals @t2 @t68 @t1)) % 0.63/1.00 (define @t70 () (@list @t1 @t2 @t68 @t31)) % 0.63/1.00 (define @t71 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.63/1.00 (define @t72 () (tptp.hBOOL (tptp.hAPP @t16 (tptp.c_Divides_Odiv__class_Omod @t9 @t71 tptp.tc_nat)))) % 0.63/1.00 (define @t73 () (tptp.hBOOL (tptp.hAPP @t16 @t9))) % 0.63/1.00 (define @t74 () (@list @t16 @t9)) % 0.63/1.00 (define @t75 () (@var "V_type1_H" $$unsorted)) % 0.63/1.00 (define @t76 () (@var "V_type1" $$unsorted)) % 0.63/1.00 (define @t77 () (@var "V_type2_H" $$unsorted)) % 0.63/1.00 (define @t78 () (@var "V_type2" $$unsorted)) % 0.63/1.00 (define @t79 () (not (= (tptp.c_Type_Otype_OFun @t76 @t78) (tptp.c_Type_Otype_OFun @t75 @t77)))) % 0.63/1.00 (define @t80 () (@list @t76 @t78 @t75 @t77)) % 0.63/1.00 (define @t81 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t31 @t1)) % 0.63/1.00 (define @t82 () (tptp.c_lessequals @t81 @t2 @t1)) % 0.63/1.00 (define @t83 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.63/1.00 (define @t84 () (@list @t1 @t2 @t31)) % 0.63/1.00 (define @t85 () (tptp.c_lessequals @t81 @t31 @t1)) % 0.63/1.00 (define @t86 () (@var "V_a" $$unsorted)) % 0.63/1.00 (define @t87 () (tptp.c_lessequals @t2 @t86 @t1)) % 0.63/1.00 (define @t88 () (@var "V_b" $$unsorted)) % 0.63/1.00 (define @t89 () (tptp.c_lessequals @t2 @t88 @t1)) % 0.63/1.00 (define @t90 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t86 @t88 @t1)) % 0.63/1.00 (define @t91 () (tptp.c_lessequals @t2 @t90 @t1)) % 0.63/1.00 (define @t92 () (@list @t1 @t2 @t86 @t88)) % 0.63/1.00 (define @t93 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t68 @t1)) % 0.63/1.00 (define @t94 () (tptp.c_lessequals @t2 @t93 @t1)) % 0.63/1.00 (define @t95 () (@list @t1 @t2 @t31 @t68)) % 0.63/1.00 (define @t96 () (not (tptp.class_Lattices_Olattice @t1))) % 0.63/1.00 (define @t97 () (tptp.c_lessequals @t86 @t88 @t1)) % 0.63/1.00 (define @t98 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.63/1.00 (define @t99 () (tptp.c_HOL_Ominus__class_Ominus @t86 @t88 @t1)) % 0.63/1.00 (define @t100 () (tptp.c_lessequals @t99 @t98 @t1)) % 0.63/1.00 (define @t101 () (@list @t1 @t86 @t88)) % 0.63/1.00 (define @t102 () (@var "V_c" $$unsorted)) % 0.63/1.00 (define @t103 () (@var "V_b_H" $$unsorted)) % 0.63/1.00 (define @t104 () (@var "V_a_H" $$unsorted)) % 0.63/1.00 (define @t105 () (tptp.c_Divides_Odiv__class_Omod @t99 @t102 @t1)) % 0.63/1.00 (define @t106 () (tptp.c_Divides_Odiv__class_Omod @t86 @t102 @t1)) % 0.63/1.00 (define @t107 () (tptp.c_Divides_Odiv__class_Omod @t88 @t102 @t1)) % 0.63/1.00 (define @t108 () (not (tptp.class_Divides_Oring__div @t1))) % 0.63/1.00 (define @t109 () (= @t2 @t31)) % 0.63/1.00 (define @t110 () (= @t14 @t9)) % 0.63/1.00 (define @t111 () (= @t15 @t71)) % 0.63/1.00 (define @t112 () (not @t111)) % 0.63/1.00 (define @t113 () (not @t50)) % 0.63/1.00 (define @t114 () (not @t51)) % 0.63/1.00 (define @t115 () (@list @t14 @t9)) % 0.63/1.00 (define @t116 () (= @t9 @t71)) % 0.63/1.00 (define @t117 () (tptp.c_Divides_Odiv__class_Omod @t14 @t9 tptp.tc_nat)) % 0.63/1.00 (define @t118 () (@list @t14)) % 0.63/1.00 (define @t119 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 0.63/1.00 (define @t120 () (= @t119 @t98)) % 0.63/1.00 (define @t121 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.63/1.00 (define @t122 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.63/1.00 (define @t123 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.63/1.00 (define @t124 () (@list @t1 @t86)) % 0.63/1.00 (define @t125 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.63/1.00 (define @t126 () (not (tptp.class_Divides_Osemiring__div @t1))) % 0.63/1.00 (define @t127 () (tptp.c_Divides_Odiv__class_Omod @t86 @t88 @t1)) % 0.63/1.00 (define @t128 () (@list @t1 @t86 @t88 @t102)) % 0.63/1.00 (define @t129 () (@var "V_l" $$unsorted)) % 0.63/1.00 (define @t130 () (not (tptp.c_lessequals @t4 @t14 tptp.tc_nat))) % 0.63/1.00 (define @t131 () (not (tptp.c_lessequals @t4 @t9 tptp.tc_nat))) % 0.63/1.00 (define @t132 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t4 tptp.tc_nat)) % 0.63/1.00 (define @t133 () (tptp.c_HOL_Ominus__class_Ominus @t14 @t4 tptp.tc_nat)) % 0.63/1.00 (define @t134 () (tptp.c_lessequals @t133 @t132 tptp.tc_nat)) % 0.63/1.00 (define @t135 () (@list @t14 @t4 @t9)) % 0.63/1.00 (define @t136 () (@var "V_xa" $$unsorted)) % 0.63/1.00 (define @t137 () (= @t81 @t2)) % 0.63/1.00 (define @t138 () (= @t86 @t88)) % 0.63/1.00 (define @t139 () (not (= @t99 @t98))) % 0.63/1.00 (define @t140 () (not @t91)) % 0.63/1.00 (define @t141 () (tptp.c_lessequals @t90 @t2 @t1)) % 0.63/1.00 (define @t142 () (@list @t1 @t86 @t88 @t2)) % 0.63/1.00 (define @t143 () (not @t94)) % 0.63/1.00 (define @t144 () (tptp.c_List_Olist_OCons @t2 @t6 @t1)) % 0.63/1.00 (define @t145 () (@var "V_v" $$unsorted)) % 0.63/1.00 (define @t146 () (tptp.c_Int_Onumber__class_Onumber__of @t145 tptp.tc_nat)) % 0.63/1.00 (define @t147 () (not (= @t146 @t71))) % 0.63/1.00 (define @t148 () (@list @t145 @t2 @t6 @t1)) % 0.63/1.00 (define @t149 () (tptp.c_List_Olist_ONil @t1)) % 0.63/1.00 (define @t150 () (= @t13 @t149)) % 0.63/1.00 (define @t151 () (@var "V_ys_092_060_094isub_0621" $$unsorted)) % 0.63/1.00 (define @t152 () (tptp.c_Nat_Osize__class_Osize @t151 @t7)) % 0.63/1.00 (define @t153 () (@var "V_xs_092_060_094isub_0621" $$unsorted)) % 0.63/1.00 (define @t154 () (tptp.c_Nat_Osize__class_Osize @t153 @t7)) % 0.63/1.00 (define @t155 () (tptp.c_lessequals @t154 @t152 tptp.tc_nat)) % 0.63/1.00 (define @t156 () (= (tptp.c_List_Otake @t152 @t153 @t1) @t151)) % 0.63/1.00 (define @t157 () (@var "V_ys_092_060_094isub_0622" $$unsorted)) % 0.63/1.00 (define @t158 () (tptp.c_List_Oappend @t151 @t157 @t1)) % 0.63/1.00 (define @t159 () (@var "V_xs_092_060_094isub_0622" $$unsorted)) % 0.63/1.00 (define @t160 () (tptp.c_List_Oappend @t153 @t159 @t1)) % 0.63/1.00 (define @t161 () (not (= @t160 @t158))) % 0.63/1.00 (define @t162 () (@list @t153 @t159 @t1 @t151 @t157)) % 0.63/1.00 (define @t163 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t8 tptp.tc_nat)) % 0.63/1.00 (define @t164 () (tptp.c_List_Oappend @t6 @t45 @t1)) % 0.63/1.00 (define @t165 () (@list @t9 @t6 @t45 @t1)) % 0.63/1.00 (define @t166 () (not @t155)) % 0.63/1.00 (define @t167 () (= @t153 (tptp.c_List_Otake @t154 @t151 @t1))) % 0.63/1.00 (define @t168 () (tptp.c_List_Oappend (tptp.c_List_Odrop @t154 @t151 @t1) @t157 @t1)) % 0.63/1.00 (define @t169 () (tptp.c_List_Odrop @t152 @t153 @t1)) % 0.63/1.00 (define @t170 () (tptp.c_List_Oappend @t169 @t159 @t1)) % 0.63/1.00 (define @t171 () (tptp.c_List_Oappend @t149 @t45 @t1)) % 0.63/1.00 (define @t172 () (@list @t45 @t1)) % 0.63/1.00 (define @t173 () (not (tptp.c_List_Odistinct @t164 @t1))) % 0.63/1.00 (define @t174 () (tptp.c_List_Odistinct @t6 @t1)) % 0.63/1.00 (define @t175 () (@list @t6 @t1 @t45)) % 0.63/1.00 (define @t176 () (tptp.c_List_Orev @t48 @t1)) % 0.63/1.00 (define @t177 () (@list @t6 @t1)) % 0.63/1.00 (define @t178 () (tptp.c_List_Orev @t45 @t1)) % 0.63/1.00 (define @t179 () (@list @t16 @t1)) % 0.63/1.00 (define @t180 () (not @t174)) % 0.63/1.00 (define @t181 () (@var "T_b" $$unsorted)) % 0.63/1.00 (define @t182 () (@var "V_f" $$unsorted)) % 0.63/1.00 (define @t183 () (tptp.c_List_Omap__filter @t182 @t16 @t6 @t181 @t1)) % 0.63/1.00 (define @t184 () (tptp.c_List_Orev @t45 @t181)) % 0.63/1.00 (define @t185 () (tptp.c_List_Olist__all2 @t16 @t48 @t184 @t1 @t181)) % 0.63/1.00 (define @t186 () (tptp.c_List_Olist__all2 @t16 @t6 @t45 @t1 @t181)) % 0.63/1.00 (define @t187 () (not @t186)) % 0.63/1.00 (define @t188 () (@list @t16 @t6 @t1 @t45 @t181)) % 0.63/1.00 (define @t189 () (tptp.hAPP tptp.c_Lambda_Olift @t28)) % 0.63/1.00 (define @t190 () (tptp.hAPP @t189 @t4)) % 0.63/1.00 (define @t191 () (tptp.hAPP tptp.c_Lambda_Olift @t26)) % 0.63/1.00 (define @t192 () (tptp.c_List_Oreplicate @t9 @t2 @t1)) % 0.63/1.00 (define @t193 () (@list @t9 @t2 @t1)) % 0.63/1.00 (define @t194 () (tptp.c_List_Olist_OCons @t2 @t149 @t1)) % 0.63/1.00 (define @t195 () (tptp.c_List_Oappend @t6 @t194 @t1)) % 0.63/1.00 (define @t196 () (tptp.c_List_Olist_OCons @t31 @t149 @t1)) % 0.63/1.00 (define @t197 () (tptp.c_List_Oappend @t45 @t196 @t1)) % 0.63/1.00 (define @t198 () (@var "V_r" $$unsorted)) % 0.63/1.00 (define @t199 () (not (tptp.c_ListOrder_Ostep1 @t198 @t197 @t195 @t1))) % 0.63/1.00 (define @t200 () (= @t31 @t2)) % 0.63/1.00 (define @t201 () (tptp.hAPP @t198 @t31)) % 0.63/1.00 (define @t202 () (tptp.hBOOL (tptp.hAPP @t201 @t2))) % 0.63/1.00 (define @t203 () (= @t6 @t194)) % 0.63/1.00 (define @t204 () (@list @t6 @t1 @t2)) % 0.63/1.00 (define @t205 () (tptp.c_Lambda_OdB_OVar @t3)) % 0.63/1.00 (define @t206 () (@var "V_e" $$unsorted)) % 0.63/1.00 (define @t207 () (@list @t9 @t1)) % 0.63/1.00 (define @t208 () (@var "V_g" $$unsorted)) % 0.63/1.00 (define @t209 () (tptp.hAPP @t182 (tptp.hAPP @t208 @t2))) % 0.63/1.00 (define @t210 () (@var "T_c" $$unsorted)) % 0.63/1.00 (define @t211 () (tptp.c_Fun_Ocomp @t182 @t208 @t181 @t1 @t210)) % 0.63/1.00 (define @t212 () (tptp.hAPP @t211 @t2)) % 0.63/1.00 (define @t213 () (tptp.c_Fun_Ocomp @t86 @t88 @t210 @t181 @t1)) % 0.63/1.00 (define @t214 () (tptp.hAPP @t86 (tptp.hAPP @t88 @t145))) % 0.63/1.00 (define @t215 () (@var "V_dB_H" $$unsorted)) % 0.63/1.00 (define @t216 () (tptp.c_Lambda_OdB_OAbs @t215)) % 0.63/1.00 (define @t217 () (@var "V_nat" $$unsorted)) % 0.63/1.00 (define @t218 () (tptp.c_Lambda_OdB_OVar @t217)) % 0.63/1.00 (define @t219 () (tptp.tc_List_Olist @t181)) % 0.63/1.00 (define @t220 () (tptp.c_Nat_Osize__class_Osize @t45 @t219)) % 0.63/1.00 (define @t221 () (= @t8 @t220)) % 0.63/1.00 (define @t222 () (@var "V_ss" $$unsorted)) % 0.63/1.00 (define @t223 () (tptp.hAPP tptp.c_Lambda_Osubst @t198)) % 0.63/1.00 (define @t224 () (tptp.c_Lambda_OdB_OAbs @t198)) % 0.63/1.00 (define @t225 () (@list @t198 @t26 @t222)) % 0.63/1.00 (define @t226 () (tptp.hAPP @t16 @t2)) % 0.63/1.00 (define @t227 () (tptp.hBOOL @t226)) % 0.63/1.00 (define @t228 () (not @t227)) % 0.63/1.00 (define @t229 () (tptp.c_List_Ofilter @t16 @t192 @t1)) % 0.63/1.00 (define @t230 () (@list @t16 @t9 @t2 @t1)) % 0.63/1.00 (define @t231 () (tptp.c_List_Olist_ONil @t181)) % 0.63/1.00 (define @t232 () (@var "V_ts" $$unsorted)) % 0.63/1.00 (define @t233 () (tptp.c_Lambda_OdB_OVar @t9)) % 0.63/1.00 (define @t234 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t93 @t1)) % 0.63/1.00 (define @t235 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t81 @t68 @t1) @t234)) % 0.63/1.00 (define @t236 () (= @t234 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t68 @t1) @t1))) % 0.63/1.00 (define @t237 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.63/1.00 (define @t238 () (@var "V_C" $$unsorted)) % 0.63/1.00 (define @t239 () (@var "V_B" $$unsorted)) % 0.63/1.00 (define @t240 () (@var "V_A" $$unsorted)) % 0.63/1.00 (define @t241 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t240 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t239 @t238 @t237) @t237)) % 0.63/1.01 (define @t242 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t240 @t239 @t237)) % 0.63/1.01 (define @t243 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t28)))) % 0.63/1.01 (define @t244 () (@var "V_Ta" $$unsorted)) % 0.63/1.01 (define @t245 () (@var "V_T1" $$unsorted)) % 0.63/1.01 (define @t246 () (@var "V_u" $$unsorted)) % 0.63/1.01 (define @t247 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t246)))) % 0.63/1.01 (define @t248 () (tptp.hAPP tptp.c_Lambda_Osubst @t28)) % 0.63/1.01 (define @t249 () (tptp.hAPP (tptp.hAPP @t248 @t246) @t3)) % 0.63/1.01 (define @t250 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t249))) % 0.63/1.01 (define @t251 () (@var "V_T2" $$unsorted)) % 0.63/1.01 (define @t252 () (not (= tptp.v_T____ (tptp.c_Type_Otype_OFun @t245 @t251)))) % 0.63/1.01 (define @t253 () (@list @t245 @t251 @t28 @t246 @t3 @t206 @t244)) % 0.63/1.01 (define @t254 () (@var "V_us" $$unsorted)) % 0.63/1.01 (define @t255 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t205 @t232 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t256 () (@var "V_Ts" $$unsorted)) % 0.63/1.01 (define @t257 () (not (tptp.c_Type_Otypings @t206 @t232 @t256))) % 0.63/1.01 (define @t258 () (not (tptp.c_Type_Otyping @t206 @t255 @t23))) % 0.63/1.01 (define @t259 () (not (tptp.c_Type_Otyping @t206 @t255 @t24))) % 0.63/1.01 (define @t260 () (tptp.c_Lambda_OdB_OAbs @t28)) % 0.63/1.01 (define @t261 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t28 @t232 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t262 () (not (tptp.c_Type_Otyping @t206 @t261 @t24))) % 0.63/1.01 (define @t263 () (@list @t206 @t232 @t24 @t28)) % 0.63/1.01 (define @t264 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t3 tptp.tc_nat)) % 0.63/1.01 (define @t265 () (tptp.c_List_Odrop @t3 @t6 @t1)) % 0.63/1.01 (define @t266 () (@list @t3 @t6 @t1)) % 0.63/1.01 (define @t267 () (tptp.c_List_Otake @t3 @t6 @t1)) % 0.63/1.01 (define @t268 () (= (tptp.c_List_Oappend @t153 @t168 @t1) @t158)) % 0.63/1.01 (define @t269 () (not @t167)) % 0.63/1.01 (define @t270 () (not @t156)) % 0.63/1.01 (define @t271 () (@var "V_rs" $$unsorted)) % 0.63/1.01 (define @t272 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t233 @t271 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t273 () (tptp.c_List_Oappend @t6 @t149 @t1)) % 0.63/1.01 (define @t274 () (@list @t2 @t1)) % 0.63/1.01 (define @t275 () (tptp.c_List_Olinorder__class_Osorted @t6 @t1)) % 0.63/1.01 (define @t276 () (not @t275)) % 0.63/1.01 (define @t277 () (@list @t1 @t9 @t6)) % 0.63/1.01 (define @t278 () (= @t45 @t34)) % 0.63/1.01 (define @t279 () (@list @t6 @t45 @t1 @t34)) % 0.63/1.01 (define @t280 () (not (= (tptp.c_List_Oreplicate @t14 @t2 @t1) (tptp.c_List_Oreplicate @t9 @t31 @t1)))) % 0.63/1.01 (define @t281 () (@list @t14 @t2 @t1 @t9 @t31)) % 0.63/1.01 (define @t282 () (tptp.c_List_OtakeWhile @t16 @t144 @t1)) % 0.63/1.01 (define @t283 () (@list @t16 @t2 @t6 @t1)) % 0.63/1.01 (define @t284 () (@var "V_vs" $$unsorted)) % 0.63/1.01 (define @t285 () (tptp.c_List_Oappend @t6 @t2 @t1)) % 0.63/1.01 (define @t286 () (tptp.c_ListOrder_Ostep1 @t198 @t45 @t6 @t1)) % 0.63/1.01 (define @t287 () (not @t286)) % 0.63/1.01 (define @t288 () (@var "V_f1" $$unsorted)) % 0.63/1.01 (define @t289 () (@var "V_f2" $$unsorted)) % 0.63/1.01 (define @t290 () (@list @t2 @t6 @t1)) % 0.63/1.01 (define @t291 () (@list @t2 @t16 @t6 @t1)) % 0.63/1.01 (define @t292 () (tptp.c_fequal @t1)) % 0.63/1.01 (define @t293 () (= @t6 @t45)) % 0.63/1.01 (define @t294 () (@list @t6 @t45 @t1)) % 0.63/1.01 (define @t295 () (@list @t1)) % 0.63/1.01 (define @t296 () (tptp.c_List_Orev @t194 @t1)) % 0.63/1.01 (define @t297 () (tptp.c_List_Oappend @t178 @t196 @t1)) % 0.63/1.01 (define @t298 () (tptp.c_List_Olist_OCons @t31 @t45 @t1)) % 0.63/1.01 (define @t299 () (@list @t240 @t239 @t1)) % 0.63/1.01 (define @t300 () (= @t81 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t31 @t2 @t1))) % 0.63/1.01 (define @t301 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t26 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t302 () (@var "V_d" $$unsorted)) % 0.63/1.01 (define @t303 () (@list @t45 @t6 @t1)) % 0.63/1.01 (define @t304 () (= @t6 @t149)) % 0.63/1.01 (define @t305 () (@list @t1 @t16 @t6)) % 0.63/1.01 (define @t306 () (= @t198 @t26)) % 0.63/1.01 (define @t307 () (not (tptp.c_Lambda_Obeta @t26 @t28))) % 0.63/1.01 (define @t308 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t246)) % 0.63/1.01 (define @t309 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t28)) % 0.63/1.01 (define @t310 () (tptp.hAPP @t309 @t246)) % 0.63/1.01 (define @t311 () (tptp.c_List_Oreplicate @t71 @t2 @t1)) % 0.63/1.01 (define @t312 () (tptp.c_List_Odistinct @t48 @t1)) % 0.63/1.01 (define @t313 () (tptp.c_List_Olist__all2 @t16 @t254 @t284 @t1 @t181)) % 0.63/1.01 (define @t314 () (tptp.c_List_Olist__all2 @t16 (tptp.c_List_Oappend @t6 @t254 @t1) (tptp.c_List_Oappend @t45 @t284 @t181) @t1 @t181)) % 0.63/1.01 (define @t315 () (not @t221)) % 0.63/1.01 (define @t316 () (@list @t6 @t1 @t45 @t181 @t16 @t254 @t284)) % 0.63/1.01 (define @t317 () (not (tptp.c_Lambda_Obeta @t198 @t26))) % 0.63/1.01 (define @t318 () (tptp.c_List_Olist_OCons @t31 @t6 @t1)) % 0.63/1.01 (define @t319 () (tptp.c_List_Oappend @t149 @t144 @t1)) % 0.63/1.01 (define @t320 () (@list @t28 @t3)) % 0.63/1.01 (define @t321 () (@var "V_e_H" $$unsorted)) % 0.63/1.01 (define @t322 () (= @t45 @t6)) % 0.63/1.01 (define @t323 () (tptp.c_List_Oappend @t149 @t149 @t1)) % 0.63/1.01 (define @t324 () (tptp.hBOOL (tptp.hAPP @t242 @t2))) % 0.63/1.01 (define @t325 () (not @t324)) % 0.63/1.01 (define @t326 () (tptp.hBOOL (tptp.hAPP @t239 @t2))) % 0.63/1.01 (define @t327 () (tptp.hBOOL (tptp.hAPP @t240 @t2))) % 0.63/1.01 (define @t328 () (tptp.c_List_Olist__all @t16 @t6 @t1)) % 0.63/1.01 (define @t329 () (not @t328)) % 0.63/1.01 (define @t330 () (tptp.c_List_Olist__all @t16 @t45 @t1)) % 0.63/1.01 (define @t331 () (tptp.c_List_Olist__all @t16 @t164 @t1)) % 0.63/1.01 (define @t332 () (@list @t16 @t6 @t45 @t1)) % 0.63/1.01 (define @t333 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t233 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t334 () (tptp.c_Lambda_OdB_OAbs @t26)) % 0.63/1.01 (define @t335 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t334) @t28)) % 0.63/1.01 (define @t336 () (@list @t26 @t28)) % 0.63/1.01 (define @t337 () (tptp.c_List_Oreplicate @t3 @t2 @t1)) % 0.63/1.01 (define @t338 () (tptp.c_List_Orev @t149 @t1)) % 0.63/1.01 (define @t339 () (tptp.c_List_Oappend @t6 @t45 @t181)) % 0.63/1.01 (define @t340 () (@var "V_dB2_H" $$unsorted)) % 0.63/1.01 (define @t341 () (@var "V_dB1_H" $$unsorted)) % 0.63/1.01 (define @t342 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t341) @t340)) % 0.63/1.01 (define @t343 () (tptp.c_List_Ofilter @t16 @t45 @t1)) % 0.63/1.01 (define @t344 () (tptp.c_List_Olist__all2 @t16 @t6 @t184 @t1 @t181)) % 0.63/1.01 (define @t345 () (tptp.c_List_Olist__all2 @t16 @t48 @t45 @t1 @t181)) % 0.63/1.01 (define @t346 () (@var "V_xb" $$unsorted)) % 0.63/1.01 (define @t347 () (@var "V_list" $$unsorted)) % 0.63/1.01 (define @t348 () (tptp.hAPP (tptp.hAPP @t289 @t86) @t347)) % 0.63/1.01 (define @t349 () (tptp.c_List_Ofilter @t16 @t144 @t1)) % 0.63/1.01 (define @t350 () (tptp.c_List_Olist__all @t16 @t144 @t1)) % 0.63/1.01 (define @t351 () (not (tptp.c_ListOrder_Ostep1 @t198 @t298 @t144 @t1))) % 0.63/1.01 (define @t352 () (@list @t198 @t45 @t6 @t1 @t31 @t2)) % 0.63/1.01 (define @t353 () (tptp.c_List_OremoveAll @t2 @t6 @t1)) % 0.63/1.01 (define @t354 () (@var "V_list_H" $$unsorted)) % 0.63/1.01 (define @t355 () (tptp.c_List_Olist_OCons @t104 @t354 @t1)) % 0.63/1.01 (define @t356 () (tptp.hAPP @t182 @t2)) % 0.63/1.01 (define @t357 () (tptp.c_List_Olist_OCons @t2 @t6 @t181)) % 0.63/1.01 (define @t358 () (tptp.c_List_Omap__filter @t182 @t16 @t357 @t181 @t1)) % 0.63/1.01 (define @t359 () (@list @t182 @t16 @t2 @t6 @t181 @t1)) % 0.63/1.01 (define @t360 () (tptp.c_List_OdropWhile @t16 @t144 @t1)) % 0.63/1.01 (define @t361 () (not (= @t149 @t164))) % 0.63/1.01 (define @t362 () (@list @t1 @t6 @t45)) % 0.63/1.01 (define @t363 () (= @t45 @t149)) % 0.63/1.01 (define @t364 () (@var "V_dB" $$unsorted)) % 0.63/1.01 (define @t365 () (= @t6 (tptp.c_List_Oappend @t19 @t298 @t1))) % 0.63/1.01 (define @t366 () (= @t17 @t298)) % 0.63/1.01 (define @t367 () (not @t366)) % 0.63/1.01 (define @t368 () (@list @t16 @t6 @t1 @t31 @t45)) % 0.63/1.01 (define @t369 () (tptp.hBOOL (tptp.hAPP @t16 @t31))) % 0.63/1.01 (define @t370 () (not (= @t164 @t149))) % 0.63/1.01 (define @t371 () (tptp.c_List_Oremove1 @t2 @t6 @t1)) % 0.63/1.01 (define @t372 () (tptp.c_Lambda_OdB_OVar @t14)) % 0.63/1.01 (define @t373 () (not @t314)) % 0.63/1.01 (define @t374 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t26) @t28)) % 0.63/1.01 (define @t375 () (@var "V_dB2" $$unsorted)) % 0.63/1.01 (define @t376 () (@var "V_dB1" $$unsorted)) % 0.63/1.01 (define @t377 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t376) @t375)) % 0.63/1.01 (define @t378 () (not (= @t377 @t342))) % 0.63/1.01 (define @t379 () (@list @t376 @t375 @t341 @t340)) % 0.63/1.01 (define @t380 () (@var "V_bs" $$unsorted)) % 0.63/1.01 (define @t381 () (@var "V_as" $$unsorted)) % 0.63/1.01 (define @t382 () (= @t271 @t222)) % 0.63/1.01 (define @t383 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t224 @t271 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t334 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.63/1.01 (define @t384 () (@list @t198 @t271 @t26 @t222)) % 0.63/1.01 (define @t385 () (tptp.c_List_Odistinct @t11 @t1)) % 0.63/1.01 (define @t386 () (@var "T_d" $$unsorted)) % 0.63/1.01 (define @t387 () (@var "V_h" $$unsorted)) % 0.63/1.01 (define @t388 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t81 @t1) @t81)) % 0.63/1.01 (define @t389 () (@list @t240 @t1)) % 0.63/1.01 (define @t390 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t372 @t271 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t333))) % 0.63/1.01 (define @t391 () (@list @t14 @t271 @t9 @t222)) % 0.63/1.01 (define @t392 () (not (tptp.c_Type_Otyping @t206 @t28 @t24))) % 0.63/1.01 (define @t393 () (@var "V_t_H" $$unsorted)) % 0.63/1.01 (define @t394 () (not (tptp.c_List_Olinorder__class_Osorted @t164 @t1))) % 0.63/1.01 (define @t395 () (@var "V_i_H" $$unsorted)) % 0.63/1.01 (define @t396 () (@var "V_nat_H" $$unsorted)) % 0.63/1.01 (define @t397 () (tptp.c_List_Olist__all @t16 @t48 @t1)) % 0.63/1.01 (define @t398 () (@var "T_e" $$unsorted)) % 0.63/1.01 (define @t399 () (@var "V_g_H" $$unsorted)) % 0.63/1.01 (define @t400 () (@var "V_f_H" $$unsorted)) % 0.63/1.01 (define @t401 () (not (= @t195 @t197))) % 0.63/1.01 (define @t402 () (@list @t6 @t2 @t1 @t45 @t31)) % 0.63/1.01 (define @t403 () (not @t331)) % 0.63/1.01 (define @t404 () (@var "V_xs1" $$unsorted)) % 0.63/1.01 (define @t405 () (tptp.hAPP @t189 @t3)) % 0.63/1.01 (define @t406 () (tptp.c_Type_Oshift @t206 @t3 @t23 tptp.tc_Type_Otype)) % 0.63/1.01 (define @t407 () (@list @t2 @t31 @t6 @t1)) % 0.63/1.01 (define @t408 () (tptp.c_List_Olist__ex @t16 @t144 @t1)) % 0.63/1.01 (define @t409 () (tptp.c_List_Olist__ex @t16 @t6 @t1)) % 0.63/1.01 (define @t410 () (@list @t16 @t6 @t1 @t2)) % 0.63/1.01 (define @t411 () (tptp.hBOOL (tptp.hAPP @t226 @t31))) % 0.63/1.01 (define @t412 () (not @t411)) % 0.63/1.01 (define @t413 () (tptp.c_List_Olist_OCons @t31 @t45 @t181)) % 0.63/1.01 (define @t414 () (tptp.c_List_Olist_OCons @t2 @t136 @t1)) % 0.63/1.01 (define @t415 () (tptp.c_List_Olist_OCons @t136 @t346 @t181)) % 0.63/1.01 (define @t416 () (tptp.c_List_Olist__all2 @t16 @t144 @t413 @t1 @t181)) % 0.63/1.01 (define @t417 () (not @t416)) % 0.63/1.01 (define @t418 () (tptp.c_List_Olist_OCons @t2 (tptp.c_List_Oappend @t136 @t34 @t1) @t1)) % 0.63/1.01 (define @t419 () (tptp.c_List_Oappend @t414 @t34 @t1)) % 0.63/1.01 (define @t420 () (tptp.c_List_Oremove1 @t2 @t144 @t1)) % 0.63/1.01 (define @t421 () (forall @t290 (= @t420 @t6))) % 0.63/1.01 (define @t422 () (not @t350)) % 0.63/1.01 (define @t423 () (tptp.c_List_Osko__List__Xmap__eq__Cons__conv__1__2 @t182 @t6 @t31 @t45 @t181 @t1)) % 0.63/1.01 (define @t424 () (tptp.c_List_Osko__List__Xmap__eq__Cons__conv__1__1 @t182 @t6 @t31 @t45 @t181 @t1)) % 0.63/1.01 (define @t425 () (tptp.c_List_Omap @t182 @t6 @t181 @t1)) % 0.63/1.01 (define @t426 () (not (= @t425 @t298))) % 0.63/1.01 (define @t427 () (@list @t182 @t6 @t181 @t1 @t31 @t45)) % 0.63/1.01 (define @t428 () (tptp.c_List_Osko__List__XCons__eq__map__conv__1__2 @t182 @t2 @t6 @t45 @t181 @t1)) % 0.63/1.01 (define @t429 () (tptp.c_List_Osko__List__XCons__eq__map__conv__1__1 @t182 @t2 @t6 @t45 @t181 @t1)) % 0.63/1.01 (define @t430 () (tptp.c_List_Omap @t182 @t45 @t181 @t1)) % 0.63/1.01 (define @t431 () (not (= @t144 @t430))) % 0.63/1.01 (define @t432 () (@list @t2 @t6 @t1 @t182 @t45 @t181)) % 0.63/1.01 (define @t433 () (tptp.c_List_Osko__List__Xmap__eq__Cons__D__1__2 @t182 @t6 @t31 @t45 @t181 @t1)) % 0.63/1.01 (define @t434 () (tptp.c_List_Osko__List__Xmap__eq__Cons__D__1__1 @t182 @t6 @t31 @t45 @t181 @t1)) % 0.63/1.01 (define @t435 () (tptp.c_List_Osko__List__XCons__eq__map__D__1__2 @t182 @t2 @t6 @t45 @t181 @t1)) % 0.63/1.01 (define @t436 () (tptp.c_List_Osko__List__XCons__eq__map__D__1__1 @t182 @t2 @t6 @t45 @t181 @t1)) % 0.63/1.01 (define @t437 () (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t3 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t232 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t438 () (= @t6 @t231)) % 0.63/1.01 (define @t439 () (@list @t182 @t6 @t181 @t1)) % 0.63/1.01 (define @t440 () (@list @t9 @t182 @t6 @t181 @t1)) % 0.63/1.01 (define @t441 () (tptp.c_List_Osko__List__Xmap__idI__1__1 @t182 @t6 @t1)) % 0.63/1.01 (define @t442 () (tptp.c_Nat_Osize__class_Osize @t6 @t219)) % 0.63/1.01 (define @t443 () (tptp.c_List_Osko__List__Xmap__ext__1__1 @t182 @t208 @t6 @t1 @t181)) % 0.63/1.01 (define @t444 () (tptp.c_List_Omap @t182 @t231 @t181 @t1)) % 0.63/1.01 (define @t445 () (tptp.c_List_Osko__List__Xmap__cong__1__1 @t182 @t208 @t2 @t1 @t181)) % 0.63/1.01 (define @t446 () (tptp.c_List_Osko__List__Xmap__eq__conv__1__1 @t182 @t208 @t6 @t181 @t1)) % 0.63/1.01 (define @t447 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t198)))) % 0.63/1.01 (define @t448 () (tptp.c_List_Olistsp @t240 @t6 @t1)) % 0.63/1.01 (define @t449 () (tptp.c_List_Olistsp @t240 @t45 @t1)) % 0.63/1.01 (define @t450 () (tptp.c_List_Olistsp @t240 @t164 @t1)) % 0.63/1.01 (define @t451 () (not @t450)) % 0.63/1.01 (define @t452 () (@var "V_T_H" $$unsorted)) % 0.63/1.01 (define @t453 () (@var "V_ia" $$unsorted)) % 0.63/1.01 (define @t454 () (@var "V_ea" $$unsorted)) % 0.63/1.01 (define @t455 () (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t454 @t453 tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ @t452))) % 0.63/1.01 (define @t456 () (@var "V_ua" $$unsorted)) % 0.63/1.01 (define @t457 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_a____)) % 0.63/1.01 (define @t458 () (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t459 () (tptp.c_List_Omap (tptp.c_COMBC (tptp.c_COMBC tptp.c_Lambda_Osubst @t246 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t458) @t3 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t232 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t460 () (not (= (tptp.c_List_Olist_OCons @t86 @t347 @t1) @t355))) % 0.63/1.01 (define @t461 () (@list @t86 @t347 @t1 @t104 @t354)) % 0.63/1.01 (define @t462 () (@var "V_Q" $$unsorted)) % 0.63/1.01 (define @t463 () (@var "V_R" $$unsorted)) % 0.63/1.01 (define @t464 () (tptp.c_COMBC tptp.c_Lambda_Osubst tptp.v_u____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t458)) % 0.63/1.01 (define @t465 () (tptp.c_COMBC @t464 tptp.v_i____ tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t466 () (tptp.c_List_Omap @t465 tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t467 () (tptp.hAPP (tptp.hAPP @t457 tptp.v_u____) tptp.v_i____)) % 0.63/1.01 (define @t468 () (tptp.c_List_Olist_OCons @t467 @t466 tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t469 () (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap @t465 (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.63/1.01 (define @t470 () (@var "T_1" $$unsorted)) % 0.63/1.01 (define @t471 () (not (tptp.class_Lattices_Olattice @t470))) % 0.63/1.01 (define @t472 () (@var "T_2" $$unsorted)) % 0.63/1.01 (define @t473 () (tptp.tc_fun @t472 @t470)) % 0.63/1.01 (define @t474 () (@list @t472 @t470)) % 0.63/1.01 (define @t475 () (@var "V_Y" $$unsorted)) % 0.63/1.01 (define @t476 () (@var "V_X" $$unsorted)) % 0.63/1.01 (define @t477 () (tptp.hAPP @t465 tptp.v_a____)) % 0.63/1.01 (define @t478 () (tptp.c_List_Olist_OCons @t477 @t466 tptp.tc_Lambda_OdB)) % 0.63/1.01 (assume @p1 (forall (@list @t3 @t4 @t2 @t1) (= (tptp.c_List_Odrop @t3 @t5 @t1) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus @t4 @t3 tptp.tc_nat) @t2 @t1)))) % 0.63/1.01 (assume @p2 (forall @t12 (= @t11 (tptp.c_List_Orotate @t10 @t6 @t1)))) % 0.63/1.01 (assume @p3 (forall (@list @t9 @t14 @t6 @t1) (= (tptp.c_List_Odrop @t9 (tptp.c_List_Otake @t14 @t6 @t1) @t1) (tptp.c_List_Otake @t15 @t13 @t1)))) % 0.63/1.01 (assume @p4 (forall @t18 (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize @t17 @t7) @t8 tptp.tc_nat))) % 0.63/1.01 (assume @p5 (forall @t18 (tptp.c_lessequals @t20 @t8 tptp.tc_nat))) % 0.63/1.01 (assume @p6 (forall @t22 (or (= @t21 @t6) (not (tptp.c_lessequals @t8 @t3 tptp.tc_nat))))) % 0.63/1.01 (assume @p7 (forall (@list @t27 @t26 @t28 @t23 @t24) (or (tptp.c_Type_Otyping @t27 @t30 @t23) (not (tptp.c_Type_Otyping @t27 @t28 @t24)) (not (tptp.c_Type_Otyping @t27 @t26 @t25))))) % 0.63/1.01 (assume @p8 (forall @t12 (= (tptp.c_Nat_Osize__class_Osize @t13 @t7) (tptp.c_HOL_Ominus__class_Ominus @t8 @t9 tptp.tc_nat)))) % 0.63/1.01 (assume @p9 (forall @t39 (or @t38 @t37 (not @t36) @t33))) % 0.63/1.01 (assume @p10 (forall @t39 (or @t38 @t32 @t40))) % 0.63/1.01 (assume @p11 (forall @t18 (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize @t41 @t7) @t8 tptp.tc_nat))) % 0.63/1.01 (assume @p12 (forall @t12 (or (= @t44 @t6) @t43))) % 0.63/1.01 (assume @p13 (forall (@list @t2 @t45 @t1) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize @t47 @t7) @t46 tptp.tc_nat)))) % 0.63/1.01 (assume @p14 (forall @t12 (= (tptp.c_List_Orotate @t9 @t48 @t1) (tptp.c_List_Orev (tptp.c_List_Orotate (tptp.c_HOL_Ominus__class_Ominus @t8 @t10 tptp.tc_nat) @t6 @t1) @t1)))) % 0.63/1.01 (assume @p15 (forall (@list @t1 @t31 @t2) (or @t38 @t49 @t32))) % 0.63/1.01 (assume @p16 (forall @t52 (or @t51 @t50))) % 0.63/1.01 (assume @p17 (forall @t60 (or @t59 @t58 @t49 (not @t55)))) % 0.63/1.01 (assume @p18 (forall @t60 (or @t59 @t58 @t55 @t61))) % 0.63/1.01 (assume @p19 (forall @t64 (or @t63 @t62))) % 0.63/1.01 (assume @p20 (forall @t64 (or @t65 @t62))) % 0.63/1.01 (assume @p21 (forall (@list @t2) (tptp.c_lessequals @t2 @t2 tptp.tc_nat))) % 0.63/1.01 (assume @p22 (forall (@list @t3 @t4 @t66) (or (tptp.c_lessequals @t3 @t4 tptp.tc_nat) (not (tptp.c_lessequals @t66 @t4 tptp.tc_nat)) (not (tptp.c_lessequals @t3 @t66 tptp.tc_nat))))) % 0.63/1.01 (assume @p23 (forall @t67 (tptp.c_lessequals @t9 @t9 tptp.tc_nat))) % 0.63/1.01 (assume @p24 (forall @t70 (or @t63 @t69 (not (tptp.c_lessequals @t31 @t68 @t1)) @t33))) % 0.63/1.01 (assume @p25 (forall (@list @t1 @t68 @t2 @t31) (or @t65 (tptp.c_lessequals @t68 @t2 @t1) (not (tptp.c_lessequals @t68 @t31 @t1)) @t61))) % 0.63/1.01 (assume @p26 (forall @t74 (or (not @t73) @t72))) % 0.63/1.01 (assume @p27 (forall @t74 (or (not @t72) @t73))) % 0.63/1.01 (assume @p28 (tptp.c_lessequals @t71 @t71 tptp.tc_nat)) % 0.63/1.01 (assume @p29 (forall @t80 (or @t79 (= @t76 @t75)))) % 0.63/1.01 (assume @p30 (forall @t80 (or @t79 (= @t78 @t77)))) % 0.63/1.01 (assume @p31 (forall @t84 (or @t83 @t82))) % 0.63/1.01 (assume @p32 (forall @t84 (or @t83 @t85))) % 0.63/1.01 (assume @p33 (forall @t92 (or @t83 @t91 (not @t89) (not @t87)))) % 0.63/1.01 (assume @p34 (forall @t95 (or @t83 @t94 (not @t69) @t33))) % 0.63/1.01 (assume @p35 (forall @t84 (or @t96 @t85))) % 0.63/1.01 (assume @p36 (forall @t84 (or @t96 @t82))) % 0.63/1.01 (assume @p37 (forall @t101 (or @t59 @t100 (not @t97)))) % 0.63/1.01 (assume @p38 (forall @t101 (or @t59 @t97 (not @t100)))) % 0.63/1.01 (assume @p39 (forall (@list @t1 @t88 @t102 @t103 @t86 @t104) (or @t108 (not (= @t107 (tptp.c_Divides_Odiv__class_Omod @t103 @t102 @t1))) (not (= @t106 (tptp.c_Divides_Odiv__class_Omod @t104 @t102 @t1))) (= @t105 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t104 @t103 @t1) @t102 @t1))))) % 0.63/1.01 (assume @p40 (forall @t84 (or @t65 @t109 @t33 @t61))) % 0.63/1.01 (assume @p41 (forall @t84 (or @t65 @t109 @t61 @t33))) % 0.63/1.01 (assume @p42 (forall @t52 (or (not (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t14 tptp.tc_nat) @t71)) @t112 @t110))) % 0.63/1.01 (assume @p43 (forall @t115 (or @t110 @t114 @t113))) % 0.63/1.01 (assume @p44 (forall @t67 (or @t116 (not (tptp.c_lessequals @t9 @t71 tptp.tc_nat))))) % 0.63/1.01 (assume @p45 (forall @t115 (or (= @t117 (tptp.c_Divides_Odiv__class_Omod @t15 @t9 tptp.tc_nat)) @t114))) % 0.63/1.01 (assume @p46 (forall @t118 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t71 tptp.tc_nat) @t14))) % 0.63/1.01 (assume @p47 (forall @t118 (= (tptp.c_HOL_Ominus__class_Ominus @t14 @t14 tptp.tc_nat) @t71))) % 0.63/1.01 (assume @p48 (forall @t64 (or @t122 @t121 @t120))) % 0.63/1.01 (assume @p49 (forall @t124 (or @t123 (= (tptp.c_HOL_Ominus__class_Ominus @t86 @t86 @t1) @t98)))) % 0.63/1.01 (assume @p50 (forall @t124 (or @t123 (= (tptp.c_HOL_Ominus__class_Ominus @t86 @t98 @t1) @t86)))) % 0.63/1.01 (assume @p51 (forall @t64 (or @t123 @t120))) % 0.63/1.01 (assume @p52 (forall @t64 (or @t125 @t120))) % 0.63/1.01 (assume @p53 (forall @t124 (or @t126 (= (tptp.c_Divides_Odiv__class_Omod @t86 @t86 @t1) @t98)))) % 0.63/1.01 (assume @p54 (forall @t124 (or @t126 (= (tptp.c_Divides_Odiv__class_Omod @t86 @t98 @t1) @t86)))) % 0.63/1.01 (assume @p55 (forall @t115 (or @t111 @t113))) % 0.63/1.01 (assume @p56 (forall @t115 (or @t112 @t50))) % 0.63/1.01 (assume @p57 (forall @t101 (or @t126 (= (tptp.c_Divides_Odiv__class_Omod @t127 @t88 @t1) @t127)))) % 0.63/1.01 (assume @p58 (forall @t124 (or @t126 (= (tptp.c_Divides_Odiv__class_Omod @t98 @t86 @t1) @t98)))) % 0.63/1.01 (assume @p59 (forall @t128 (or @t108 (= @t105 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t106 @t88 @t1) @t102 @t1))))) % 0.63/1.01 (assume @p60 (forall @t128 (or @t108 (= @t105 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t86 @t107 @t1) @t102 @t1))))) % 0.63/1.01 (assume @p61 (forall (@list @t129 @t9 @t14) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t129 @t9 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t129 @t14 tptp.tc_nat) tptp.tc_nat) @t113))) % 0.63/1.01 (assume @p62 (forall (@list @t14 @t129 @t9) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t14 @t129 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t9 @t129 tptp.tc_nat) tptp.tc_nat) @t113))) % 0.63/1.01 (assume @p63 (forall @t135 (or @t134 @t113 @t131 @t130))) % 0.63/1.01 (assume @p64 (forall (@list @t14 @t9 @t4) (or @t50 (not @t134) @t131 @t130))) % 0.63/1.01 (assume @p65 (forall (@list @t1 @t136 @t31 @t2) (or @t125 (not (= (tptp.c_HOL_Ominus__class_Ominus @t136 @t31 @t1) @t119)) (= @t136 @t31)))) % 0.63/1.01 (assume @p66 (forall (@list @t1 @t2 @t53 @t54) (or @t125 (not (= @t119 @t56)) (= @t53 @t54)))) % 0.63/1.01 (assume @p67 (forall @t135 (or (not (= @t133 @t132)) @t131 @t130 @t110))) % 0.63/1.01 (assume @p68 (forall @t84 (or (not (tptp.class_Int_Oring__char__0 @t1)) @t121 (not (= (tptp.c_Int_Onumber__class_Onumber__of @t2 @t1) (tptp.c_Int_Onumber__class_Onumber__of @t31 @t1))) @t109))) % 0.63/1.01 (assume @p69 (forall @t67 (= (tptp.c_HOL_Ominus__class_Ominus @t71 @t9 tptp.tc_nat) @t71))) % 0.63/1.01 (assume @p70 (forall @t84 (or @t83 @t137 @t33))) % 0.63/1.01 (assume @p71 (forall @t84 (or @t83 (not @t137) @t32))) % 0.63/1.01 (assume @p72 (forall @t84 (or @t83 (= @t81 @t31) @t61))) % 0.63/1.01 (assume @p73 (forall @t115 (tptp.c_lessequals @t15 @t14 tptp.tc_nat))) % 0.63/1.01 (assume @p74 (forall @t84 (or @t122 @t121 (not (= @t57 @t98)) @t109))) % 0.63/1.01 (assume @p75 (forall @t101 (or @t123 @t139 @t138))) % 0.63/1.01 (assume @p76 (forall @t101 (or @t125 @t139 @t138))) % 0.63/1.01 (assume @p77 (forall @t135 (or (= (tptp.c_HOL_Ominus__class_Ominus @t133 @t132 tptp.tc_nat) @t15) @t131 @t130))) % 0.63/1.01 (assume @p78 (forall (@list @t3 @t66 @t4) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t3 @t66 tptp.tc_nat) @t4 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t3 @t4 tptp.tc_nat) @t66 tptp.tc_nat)))) % 0.63/1.01 (assume @p79 (forall @t67 (tptp.c_lessequals @t71 @t9 tptp.tc_nat))) % 0.63/1.01 (assume @p80 (forall @t115 (tptp.c_lessequals @t117 @t14 tptp.tc_nat))) % 0.63/1.01 (assume @p81 (forall @t128 (or @t108 (= @t105 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t106 @t107 @t1) @t102 @t1))))) % 0.63/1.01 (assume @p82 (forall @t92 (or @t83 @t87 @t140))) % 0.63/1.01 (assume @p83 (forall (@list @t1 @t2 @t88 @t86) (or @t83 @t89 @t140))) % 0.63/1.01 (assume @p84 (forall @t142 (or @t83 @t141 (not (tptp.c_lessequals @t86 @t2 @t1))))) % 0.63/1.01 (assume @p85 (forall @t142 (or @t83 @t141 (not (tptp.c_lessequals @t88 @t2 @t1))))) % 0.63/1.01 (assume @p86 (forall @t95 (or @t83 @t32 @t143))) % 0.63/1.01 (assume @p87 (forall @t70 (or @t83 @t69 @t143))) % 0.63/1.01 (assume @p88 (forall (@list @t9 @t3) (or (= (tptp.c_HOL_Ominus__class_Ominus @t9 (tptp.c_HOL_Ominus__class_Ominus @t9 @t3 tptp.tc_nat) tptp.tc_nat) @t3) (not (tptp.c_lessequals @t3 @t9 tptp.tc_nat))))) % 0.63/1.01 (assume @p89 (forall @t148 (or @t147 (= (tptp.c_List_Odrop @t146 @t144 @t1) @t144)))) % 0.63/1.01 (assume @p90 (forall @t12 (or (not @t150) @t42))) % 0.63/1.01 (assume @p91 (forall @t12 (or @t150 @t43))) % 0.63/1.01 (assume @p92 (forall @t162 (or @t161 @t156 @t155))) % 0.63/1.01 (assume @p93 (forall @t165 (= (tptp.c_List_Otake @t9 @t164 @t1) (tptp.c_List_Oappend @t44 (tptp.c_List_Otake @t163 @t45 @t1) @t1)))) % 0.63/1.01 (assume @p94 (forall @t162 (or @t161 @t167 @t166))) % 0.63/1.01 (assume @p95 (forall @t162 (or @t161 (= @t159 @t168) @t166))) % 0.63/1.01 (assume @p96 (forall @t162 (or @t161 (= @t170 @t157) @t155))) % 0.63/1.01 (assume @p97 (forall @t165 (= (tptp.c_List_Odrop @t9 @t164 @t1) (tptp.c_List_Oappend @t13 (tptp.c_List_Odrop @t163 @t45 @t1) @t1)))) % 0.63/1.01 (assume @p98 (forall @t12 (or (not (= @t10 @t71)) (= @t11 @t6)))) % 0.63/1.01 (assume @p99 (forall @t172 (= @t45 @t171))) % 0.63/1.01 (assume @p100 (forall @t175 (or @t174 @t173))) % 0.63/1.01 (assume @p101 (forall (@list @t45 @t1 @t6) (or (tptp.c_List_Odistinct @t45 @t1) @t173))) % 0.63/1.01 (assume @p102 (forall @t177 (= @t6 @t176))) % 0.63/1.01 (assume @p103 (forall @t172 (= (tptp.c_List_Orev @t178 @t1) @t45))) % 0.63/1.01 (assume @p104 (forall @t177 (= @t176 @t6))) % 0.63/1.01 (assume @p105 (forall @t179 (= (tptp.c_List_OdropWhile @t16 @t149 @t1) @t149))) % 0.63/1.01 (assume @p106 (forall @t175 (= @t6 (tptp.c_List_Otake @t8 @t164 @t1)))) % 0.63/1.01 (assume @p107 (forall @t18 (or (tptp.c_List_Odistinct @t17 @t1) @t180))) % 0.63/1.01 (assume @p108 (forall (@list @t182 @t16 @t6 @t181 @t1) (= @t183 (tptp.c_List_Omap @t182 (tptp.c_List_Ofilter @t16 @t6 @t181) @t181 @t1)))) % 0.63/1.01 (assume @p109 (forall (@list @t16 @t6 @t45 @t1 @t181) (or @t186 (not @t185)))) % 0.63/1.01 (assume @p110 (forall @t188 (or @t185 @t187))) % 0.63/1.01 (assume @p111 (forall (@list @t26 @t28 @t4) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t30) @t4) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t191 @t4)) @t190)))) % 0.63/1.01 (assume @p112 (forall @t193 (= (tptp.c_List_Orev @t192 @t1) @t192))) % 0.63/1.01 (assume @p113 (forall (@list @t198 @t31 @t2 @t45 @t1 @t6) (or @t202 @t200 @t199))) % 0.63/1.01 (assume @p114 (forall @t204 (or (not (= @t48 @t194)) @t203))) % 0.63/1.01 (assume @p115 (forall (@list @t206 @t3 @t24) (or (= (tptp.hAPP @t206 @t3) @t24) (not (tptp.c_Type_Otyping @t206 @t205 @t24))))) % 0.63/1.01 (assume @p116 (forall @t207 (= (tptp.c_List_Odrop @t9 @t149 @t1) @t149))) % 0.63/1.01 (assume @p117 (forall (@list @t182 @t208 @t181 @t1 @t210 @t2) (= @t212 @t209))) % 0.63/1.01 (assume @p118 (forall (@list @t86 @t88 @t145 @t210 @t181 @t1) (= @t214 (tptp.hAPP @t213 @t145)))) % 0.63/1.01 (assume @p119 (forall (@list @t217 @t215) (not (= @t218 @t216)))) % 0.63/1.01 (assume @p120 (forall (@list @t6 @t1 @t45 @t181 @t16) (or @t221 @t187))) % 0.63/1.01 (assume @p121 (forall (@list @t198 @t1 @t6) (not (tptp.c_ListOrder_Ostep1 @t198 @t149 @t6 @t1)))) % 0.63/1.01 (assume @p122 (forall (@list @t198 @t6 @t1) (not (tptp.c_ListOrder_Ostep1 @t198 @t6 @t149 @t1)))) % 0.63/1.01 (assume @p123 (forall @t225 (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 @t224) @t26) @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t26))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t223 @t26) @t71) @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.63/1.01 (assume @p124 (forall @t230 (or (= @t229 @t192) @t228))) % 0.63/1.01 (assume @p125 (forall (@list @t182 @t86 @t181 @t1) (= (tptp.c_List_Ofoldl @t182 @t86 @t231 @t1 @t181) @t86))) % 0.63/1.01 (assume @p126 (forall (@list @t206 @t2 @t24 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t206 @t2 @t24 @t1) @t2) @t24))) % 0.63/1.01 (assume @p127 (forall (@list @t9 @t232 @t198 @t222) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t233 @t232 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t224 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.63/1.01 (assume @p128 (forall @t95 (or @t96 @t235))) % 0.63/1.01 (assume @p129 (forall @t95 (or @t96 @t236))) % 0.63/1.01 (assume @p130 (forall @t95 (or @t83 @t236))) % 0.63/1.01 (assume @p131 (forall @t95 (or @t83 @t235))) % 0.63/1.01 (assume @p132 (forall (@list @t240 @t239 @t1 @t238) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t242 @t238 @t237) @t241))) % 0.63/1.01 (assume @p133 (forall @t253 (or @t252 @t250 (not (tptp.c_Type_Otyping @t206 @t246 @t245)) @t247 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t206 @t3 @t245 tptp.tc_Type_Otype) @t28 @t244)) @t243))) % 0.63/1.01 (assume @p134 (forall @t253 (or @t252 @t250 (not (tptp.c_Type_Otyping @t206 @t246 @t251)) @t247 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t206 @t3 @t251 tptp.tc_Type_Otype) @t28 @t244)) @t243))) % 0.63/1.01 (assume @p135 (forall (@list @t206 @t254 @t24 @t23 @t3 @t232 @t256) (or (tptp.c_Type_Otypings @t206 @t254 (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t24 @t23 @t206 @t254)) @t258 @t257 (not (tptp.c_Type_Otyping @t206 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t255 @t254 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t24))))) % 0.63/1.01 (assume @p136 (forall (@list @t206 @t232 @t24 @t3) (or (tptp.c_Type_Otypings @t206 @t232 (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t24 @t206 @t3 @t232)) @t259))) % 0.63/1.01 (assume @p137 (forall @t12 (= @t11 (tptp.c_List_Oappend (tptp.c_List_Odrop @t10 @t6 @t1) (tptp.c_List_Otake @t10 @t6 @t1) @t1)))) % 0.63/1.01 (assume @p138 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.63/1.01 (assume @p139 (forall (@list @t27 @t28 @t24 @t23) (or (tptp.c_Type_Otyping @t27 @t260 @t25) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t27 @t71 @t24 tptp.tc_Type_Otype) @t28 @t23))))) % 0.63/1.01 (assume @p140 (forall @t263 (or (tptp.c_Type_Otypings @t206 @t232 (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t24 @t206 @t28 @t232)) @t262))) % 0.63/1.01 (assume @p141 (forall @t263 (or (tptp.c_Type_Otypings @t206 @t232 (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t24 @t206 @t28 @t232)) @t262))) % 0.63/1.01 (assume @p142 (forall @t266 (= (tptp.c_List_Orev @t265 @t1) (tptp.c_List_Otake @t264 @t48 @t1)))) % 0.63/1.01 (assume @p143 (forall @t266 (= (tptp.c_List_Orev @t267 @t1) (tptp.c_List_Odrop @t264 @t48 @t1)))) % 0.63/1.01 (assume @p144 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.63/1.01 (assume @p145 (forall (@list @t153 @t1 @t151 @t157) (or @t269 @t268 @t166))) % 0.63/1.01 (assume @p146 (forall (@list @t151 @t1 @t153 @t159) (or @t270 @t155 (= @t160 (tptp.c_List_Oappend @t151 @t170 @t1))))) % 0.63/1.01 (assume @p147 (forall (@list @t145 @t9 @t271) (or (= @t145 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t233 (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t9 @t271 @t145) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.c_Lambda_Obeta @t272 @t145))))) % 0.63/1.01 (assume @p148 (forall @t148 (or @t147 (= (tptp.c_List_Otake @t146 @t144 @t1) @t149)))) % 0.63/1.01 (assume @p149 (forall (@list @t1 @t45) (= @t171 @t45))) % 0.63/1.01 (assume @p150 (forall @t177 (= @t6 @t273))) % 0.63/1.01 (assume @p151 (forall @t274 (= @t2 (tptp.c_List_Oappend @t149 @t2 @t1)))) % 0.63/1.01 (assume @p152 (forall @t177 (= @t273 @t6))) % 0.63/1.01 (assume @p153 (forall @t18 (= @t19 (tptp.c_List_Otake @t20 @t6 @t1)))) % 0.63/1.01 (assume @p154 (forall @t207 (= (tptp.c_List_Otake @t9 @t149 @t1) @t149))) % 0.63/1.01 (assume @p155 (forall @t277 (or @t38 (tptp.c_List_Olinorder__class_Osorted @t44 @t1) @t276))) % 0.63/1.01 (assume @p156 (forall @t279 (or (not (= @t164 (tptp.c_List_Oappend @t6 @t34 @t1))) @t278))) % 0.63/1.01 (assume @p157 (forall (@list @t45 @t6 @t1 @t34) (or (not (= (tptp.c_List_Oappend @t45 @t6 @t1) (tptp.c_List_Oappend @t34 @t6 @t1))) @t278))) % 0.63/1.01 (assume @p158 (forall @t281 (or @t280 @t110))) % 0.63/1.01 (assume @p159 (forall @t179 (tptp.c_List_Olist__all @t16 @t149 @t1))) % 0.63/1.01 (assume @p160 (forall @t283 (or (= @t282 @t149) @t227))) % 0.63/1.01 (assume @p161 (forall @t179 (not (tptp.c_List_Olist__ex @t16 @t149 @t1)))) % 0.63/1.01 (assume @p162 (forall (@list @t198 @t2 @t284 @t1 @t254) (or (tptp.c_ListOrder_Ostep1 @t198 (tptp.c_List_Oappend @t2 @t284 @t1) (tptp.c_List_Oappend @t2 @t254 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t198 @t284 @t254 @t1))))) % 0.63/1.01 (assume @p163 (forall (@list @t198 @t45 @t6 @t1 @t2) (or @t287 (tptp.c_ListOrder_Ostep1 @t198 (tptp.c_List_Oappend @t45 @t2 @t1) @t285 @t1)))) % 0.63/1.01 (assume @p164 (forall (@list @t2 @t1 @t6) (or (not (= @t194 @t48)) @t203))) % 0.63/1.01 (assume @p165 (forall (@list @t16 @t288 @t289) (or (not (tptp.hBOOL (tptp.hAPP @t16 (tptp.c_List_Olist_Olist__case @t288 @t289 (tptp.c_List_Olist_ONil tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t16 @t288))))) % 0.63/1.01 (assume @p166 (forall @t277 (or @t38 (tptp.c_List_Olinorder__class_Osorted @t13 @t1) @t276))) % 0.63/1.01 (assume @p167 (forall @t290 (= (tptp.c_List_Odrop @t71 @t144 @t1) @t144))) % 0.63/1.01 (assume @p168 (forall (@list @t16 @t9 @t6 @t1 @t45 @t181) (or (tptp.c_List_Olist__all2 @t16 @t44 (tptp.c_List_Otake @t9 @t45 @t181) @t1 @t181) @t187))) % 0.63/1.01 (assume @p169 (forall @t291 (or (= (tptp.c_List_OremoveAll @t2 @t41 @t1) @t41) @t227))) % 0.63/1.01 (assume @p170 (forall @t290 (= (tptp.c_List_Orev @t144 @t1) (tptp.c_List_Oappend @t48 @t194 @t1)))) % 0.63/1.01 (assume @p171 (forall @t294 (or @t293 (not (tptp.c_List_Olist__all2 @t292 @t6 @t45 @t1 @t1))))) % 0.63/1.01 (assume @p172 (forall @t295 (or @t38 (tptp.c_List_Olinorder__class_Osorted @t149 @t1)))) % 0.63/1.01 (assume @p173 (forall @t177 (= (tptp.c_List_Odrop @t71 @t6 @t1) @t6))) % 0.63/1.01 (assume @p174 (forall (@list @t198 @t31 @t2 @t45 @t6 @t1) (or @t202 @t286 @t199))) % 0.63/1.01 (assume @p175 (forall @t274 (= @t296 @t194))) % 0.63/1.01 (assume @p176 (forall (@list @t6 @t1 @t31 @t45) (or (not (= @t48 @t298)) (= @t6 @t297)))) % 0.63/1.01 (assume @p177 (forall @t299 (= @t242 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t239 @t240 @t237)))) % 0.63/1.01 (assume @p178 (forall @t84 (or @t83 @t300))) % 0.63/1.01 (assume @p179 (forall @t84 (or @t96 @t300))) % 0.63/1.01 (assume @p180 (forall (@list @t27 @t2) (tptp.c_Type_Otyping @t27 (tptp.c_Lambda_OdB_OVar @t2) (tptp.hAPP @t27 @t2)))) % 0.63/1.01 (assume @p181 (forall @t225 (or (not (= @t224 @t301)) (= @t224 @t26)))) % 0.63/1.01 (assume @p182 (forall (@list @t16 @t86 @t102 @t1 @t88 @t302 @t181) (or (tptp.c_List_Olist__all2 @t16 (tptp.c_List_Oappend @t86 @t102 @t1) (tptp.c_List_Oappend @t88 @t302 @t181) @t1 @t181) (not (tptp.c_List_Olist__all2 @t16 @t102 @t302 @t1 @t181)) (not (tptp.c_List_Olist__all2 @t16 @t86 @t88 @t1 @t181))))) % 0.63/1.01 (assume @p183 (forall (@list @t136 @t1 @t34 @t181 @t2 @t45 @t16) (or (not (= (tptp.c_Nat_Osize__class_Osize @t136 @t7) (tptp.c_Nat_Osize__class_Osize @t34 @t219))) (not (= (tptp.c_Nat_Osize__class_Osize @t2 @t7) @t220)) (tptp.c_List_Olist__all2 @t16 (tptp.c_List_Oappend @t2 @t136 @t1) (tptp.c_List_Oappend @t45 @t34 @t181) @t1 @t181) (not (tptp.c_List_Olist__all2 @t16 @t136 @t34 @t1 @t181)) (not (tptp.c_List_Olist__all2 @t16 @t2 @t45 @t1 @t181))))) % 0.63/1.01 (assume @p184 (forall (@list @t136 @t181 @t45 @t1 @t2 @t6 @t16) (or (not (= (tptp.c_Nat_Osize__class_Osize @t136 @t219) @t46)) (not (= (tptp.c_Nat_Osize__class_Osize @t2 @t219) @t8)) (tptp.c_List_Olist__all2 @t16 @t164 (tptp.c_List_Oappend @t2 @t136 @t181) @t1 @t181) (not (tptp.c_List_Olist__all2 @t16 @t45 @t136 @t1 @t181)) (not (tptp.c_List_Olist__all2 @t16 @t6 @t2 @t1 @t181))))) % 0.63/1.01 (assume @p185 (forall @t303 (= @t45 (tptp.c_List_Odrop @t8 @t164 @t1)))) % 0.63/1.01 (assume @p186 (forall @t18 (or (tptp.c_List_Odistinct @t41 @t1) @t180))) % 0.63/1.01 (assume @p187 (forall @t179 (= (tptp.c_List_Ofilter @t16 @t149 @t1) @t149))) % 0.63/1.01 (assume @p188 (forall @t12 (or (not (= @t44 @t149)) @t304 @t116))) % 0.63/1.01 (assume @p189 (forall (@list @t1 @t4 @t2) (= (tptp.c_List_Olist__update @t149 @t4 @t2 @t1) @t149))) % 0.63/1.01 (assume @p190 (forall (@list @t1 @t3 @t31) (= (tptp.c_List_Olist__update @t149 @t3 @t31 @t1) @t149))) % 0.63/1.01 (assume @p191 (forall (@list @t1 @t3 @t145) (= (tptp.c_List_Olist__update @t149 @t3 @t145 @t1) @t149))) % 0.63/1.01 (assume @p192 (forall @t305 (or @t38 (tptp.c_List_Olinorder__class_Osorted @t19 @t1) @t276))) % 0.63/1.01 (assume @p193 (forall (@list @t198 @t232 @t26) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t198 @t232 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t26 @t232 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t306))) % 0.63/1.01 (assume @p194 (forall @t12 (= (tptp.c_List_Oappend @t44 @t13 @t1) @t6))) % 0.63/1.01 (assume @p195 (forall @t274 (= (tptp.c_List_Oremove1 @t2 @t149 @t1) @t149))) % 0.63/1.01 (assume @p196 (forall (@list @t246 @t26 @t28) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t308 @t26) (tptp.hAPP @t308 @t28)) @t307))) % 0.63/1.01 (assume @p197 (forall (@list @t26 @t246 @t28) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t29 @t246) @t310) @t307))) % 0.63/1.01 (assume @p198 (forall (@list @t45 @t1 @t31) (= (tptp.c_List_Orev @t297 @t1) @t298))) % 0.63/1.01 (assume @p199 (forall (@list @t2 @t1 @t31) (= @t311 (tptp.c_List_Oreplicate @t71 @t31 @t1)))) % 0.63/1.01 (assume @p200 (forall @t266 (or (tptp.c_List_Odistinct @t265 @t1) @t180))) % 0.63/1.01 (assume @p201 (forall @t177 (or @t312 @t180))) % 0.63/1.01 (assume @p202 (forall @t177 (or @t174 (not @t312)))) % 0.63/1.01 (assume @p203 (forall @t274 (= @t311 @t149))) % 0.63/1.01 (assume @p204 (forall (@list @t288 @t289 @t181 @t1) (= (tptp.c_List_Olist_Olist__case @t288 @t289 @t231 @t1 @t181) @t288))) % 0.63/1.01 (assume @p205 (forall @t177 (or (not (= @t48 @t149)) @t304))) % 0.63/1.01 (assume @p206 (forall @t316 (or @t315 @t314 (not @t313) @t187))) % 0.63/1.01 (assume @p207 (forall (@list @t198 @t3 @t26) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t198) @t3) (tptp.hAPP @t191 @t3)) @t317))) % 0.63/1.01 (assume @p208 (forall @t207 (= (tptp.c_List_Orotate @t9 @t149 @t1) @t149))) % 0.63/1.01 (assume @p209 (forall (@list @t2 @t6 @t1 @t31) (= (tptp.c_List_Olist__update @t144 @t71 @t31 @t1) @t318))) % 0.63/1.01 (assume @p210 (forall @t22 (= (tptp.c_Nat_Osize__class_Osize @t21 @t7) @t8))) % 0.63/1.01 (assume @p211 (forall @t290 (= @t144 @t319))) % 0.63/1.01 (assume @p212 (forall @t274 (= @t194 @t296))) % 0.63/1.01 (assume @p213 (forall @t320 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t309 @t205))) @t243))) % 0.63/1.01 (assume @p214 (forall @t281 (or @t280 @t109 (= @t14 @t71)))) % 0.63/1.01 (assume @p215 (forall (@list @t321 @t246 @t23 @t3 @t28 @t24) (or (not (tptp.c_Type_Otyping @t321 @t246 @t23)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t321 @t3 @t23 tptp.tc_Type_Otype) @t28 @t24)) (tptp.c_Type_Otyping @t321 @t249 @t24)))) % 0.63/1.01 (assume @p216 (forall (@list @t45 @t6 @t198 @t1 @t31 @t2) (or @t322 @t286 @t199))) % 0.63/1.01 (assume @p217 (forall @t295 (= @t149 @t323))) % 0.63/1.01 (assume @p218 (forall (@list @t239 @t2 @t240 @t1) (or @t326 @t325))) % 0.63/1.01 (assume @p219 (forall (@list @t240 @t2 @t239 @t1) (or @t327 @t325))) % 0.63/1.01 (assume @p220 (forall @t332 (or @t331 (not @t330) @t329))) % 0.63/1.01 (assume @p221 (forall @t64 (or @t38 (tptp.c_List_Olinorder__class_Osorted @t194 @t1)))) % 0.63/1.01 (assume @p222 (forall (@list @t26 @t28 @t9 @t222) (not (= @t335 @t333)))) % 0.63/1.01 (assume @p223 (forall @t266 (or (tptp.c_List_Odistinct @t267 @t1) @t180))) % 0.63/1.01 (assume @p224 (forall @t336 (or (tptp.c_Lambda_Obeta @t334 @t260) @t307))) % 0.63/1.01 (assume @p225 (forall (@list @t3 @t2 @t1) (= (tptp.c_List_Oappend @t337 @t194 @t1) (tptp.c_List_Olist_OCons @t2 @t337 @t1)))) % 0.63/1.01 (assume @p226 (forall (@list @t198 @t1) (tptp.c_List_Olistrelp @t198 @t149 @t149 @t1))) % 0.63/1.01 (assume @p227 (forall @t295 (= @t338 @t149))) % 0.63/1.01 (assume @p228 (forall @t18 (or (tptp.c_List_Odistinct @t19 @t1) @t180))) % 0.63/1.01 (assume @p229 (forall @t294 (= (tptp.c_List_Orev @t164 @t1) (tptp.c_List_Oappend @t178 @t48 @t1)))) % 0.63/1.01 (assume @p230 (forall (@list @t182 @t86 @t6 @t45 @t181 @t1) (= (tptp.c_List_Ofoldl @t182 @t86 @t339 @t1 @t181) (tptp.c_List_Ofoldl @t182 (tptp.c_List_Ofoldl @t182 @t86 @t6 @t1 @t181) @t45 @t1 @t181)))) % 0.63/1.01 (assume @p231 (forall (@list @t341 @t340 @t217) (not (= @t342 @t218)))) % 0.63/1.01 (assume @p232 (forall @t332 (= (tptp.c_List_Ofilter @t16 @t164 @t1) (tptp.c_List_Oappend @t41 @t343 @t1)))) % 0.63/1.01 (assume @p233 (forall (@list @t6 @t4 @t2 @t1) (or (not (= (tptp.c_List_Olist__update @t6 @t4 @t2 @t1) @t149)) @t304))) % 0.63/1.01 (assume @p234 (forall @t188 (or @t345 (not @t344)))) % 0.63/1.01 (assume @p235 (forall (@list @t16 @t6 @t45 @t181 @t1) (or @t344 (not @t345)))) % 0.63/1.01 (assume @p236 (forall (@list @t9 @t271) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t272)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t271 tptp.tc_Lambda_OdB))))) % 0.63/1.01 (assume @p237 (forall (@list @t16 @t288 @t289 @t136 @t346) (or (not (tptp.hBOOL (tptp.hAPP @t16 (tptp.c_List_Olist_Olist__case @t288 @t289 (tptp.c_List_Olist_OCons @t136 @t346 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t16 (tptp.hAPP (tptp.hAPP @t289 @t136) @t346)))))) % 0.63/1.01 (assume @p238 (forall (@list @t16 @t288 @t289 @t86 @t347) (or (not (tptp.hBOOL (tptp.hAPP @t16 (tptp.c_List_Olist_Olist__case @t288 @t289 (tptp.c_List_Olist_OCons @t86 @t347 tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP @t16 @t348))))) % 0.63/1.01 (assume @p239 (forall @t283 (or (= @t349 @t41) @t227))) % 0.63/1.01 (assume @p240 (forall @t283 (or @t350 @t329 @t228))) % 0.63/1.01 (assume @p241 (forall (@list @t198 @t2 @t45 @t1 @t6) (or (tptp.c_ListOrder_Ostep1 @t198 @t47 @t144 @t1) @t287))) % 0.63/1.01 (assume @p242 (forall @t352 (or @t286 @t202 @t351))) % 0.63/1.01 (assume @p243 (forall @t290 (= (tptp.c_List_OremoveAll @t2 @t144 @t1) @t353))) % 0.63/1.01 (assume @p244 (forall (@list @t1 @t104 @t354) (not (= @t149 @t355)))) % 0.63/1.01 (assume @p245 (forall @t359 (or (= @t358 (tptp.c_List_Olist_OCons @t356 @t183 @t1)) @t228))) % 0.63/1.01 (assume @p246 (forall @t352 (or @t286 @t293 @t351))) % 0.63/1.01 (assume @p247 (forall @t283 (or (= @t360 @t144) @t227))) % 0.63/1.01 (assume @p248 (forall @t283 (or (= @t360 @t17) @t228))) % 0.63/1.01 (assume @p249 (forall (@list @t240 @t239 @t238 @t1) (= @t241 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t239 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t240 @t238 @t237) @t237)))) % 0.63/1.01 (assume @p250 (forall @t362 (or @t361 @t304))) % 0.63/1.01 (assume @p251 (forall @t362 (or @t361 @t363))) % 0.63/1.01 (assume @p252 (forall (@list @t364 @t215) (or (not (= (tptp.c_Lambda_OdB_OAbs @t364) @t216)) (= @t364 @t215)))) % 0.63/1.01 (assume @p253 (forall @t368 (or @t367 @t365))) % 0.63/1.01 (assume @p254 (forall (@list @t6 @t16 @t1 @t31 @t45) (or (not @t365) @t366 @t369))) % 0.63/1.01 (assume @p255 (forall @t294 (or @t370 @t304))) % 0.63/1.01 (assume @p256 (forall @t294 (or @t370 @t363))) % 0.63/1.01 (assume @p257 (forall @t295 (= (tptp.c_Nat_Osize__class_Osize @t149 @t7) @t71))) % 0.63/1.01 (assume @p258 (forall (@list @t6 @t1 @t34) (or (not (= @t6 (tptp.c_List_Otake @t8 @t34 @t1))) (= (tptp.c_List_Oappend @t6 (tptp.c_List_Odrop @t8 @t34 @t1) @t1) @t34)))) % 0.63/1.01 (assume @p259 (forall (@list @t217 @t341 @t340) (not (= @t218 @t342)))) % 0.63/1.01 (assume @p260 (forall @t290 (or (tptp.c_List_Odistinct @t371 @t1) @t180))) % 0.63/1.01 (assume @p261 (forall (@list @t14 @t26 @t222) (or (not (= @t372 @t301)) (= @t372 @t26)))) % 0.63/1.01 (assume @p262 (forall @t316 (or @t315 @t186 @t373))) % 0.63/1.01 (assume @p263 (forall @t316 (or @t315 @t313 @t373))) % 0.63/1.01 (assume @p264 (forall (@list @t2 @t6 @t45 @t1) (= (tptp.c_List_OremoveAll @t2 @t164 @t1) (tptp.c_List_Oappend @t353 (tptp.c_List_OremoveAll @t2 @t45 @t1) @t1)))) % 0.63/1.01 (assume @p265 (forall (@list @t198 @t222 @t26) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t198 @t222 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t301) @t317))) % 0.63/1.01 (assume @p266 (forall @t12 (= (tptp.c_Nat_Osize__class_Osize @t11 @t7) @t8))) % 0.63/1.01 (assume @p267 (forall (@list @t16 @t6 @t2 @t129 @t1) (or (= (tptp.c_List_OtakeWhile @t16 (tptp.c_List_Oappend @t6 (tptp.c_List_Olist_OCons @t2 @t129 @t1) @t1) @t1) @t19) @t227))) % 0.63/1.01 (assume @p268 (forall @t64 (= @t149 @t311))) % 0.63/1.01 (assume @p269 (forall @t336 (tptp.c_Lambda_Obeta @t335 (tptp.hAPP @t374 @t71)))) % 0.63/1.01 (assume @p270 (forall (@list @t24 @t23 @t206 @t3 @t232) (or (= @t24 @t23) @t258 @t259))) % 0.63/1.01 (assume @p271 (forall (@list @t9 @t2 @t1 @t4) (= (tptp.c_List_Oappend @t192 @t5 @t1) (tptp.c_List_Oappend @t5 @t192 @t1)))) % 0.63/1.01 (assume @p272 (forall @t379 (or @t378 (= @t375 @t340)))) % 0.63/1.01 (assume @p273 (forall @t379 (or @t378 (= @t376 @t341)))) % 0.63/1.01 (assume @p274 (forall (@list @t16 @t9 @t381 @t1 @t380 @t181) (or (tptp.c_List_Olist__all2 @t16 (tptp.c_List_Odrop @t9 @t381 @t1) (tptp.c_List_Odrop @t9 @t380 @t181) @t1 @t181) (not (tptp.c_List_Olist__all2 @t16 @t381 @t380 @t1 @t181))))) % 0.63/1.01 (assume @p275 (forall @t384 (or @t383 @t382))) % 0.63/1.01 (assume @p276 (forall @t384 (or @t383 @t306))) % 0.63/1.01 (assume @p277 (forall (@list @t26 @t222 @t198) (or (not (= @t301 @t224)) (= @t26 @t224)))) % 0.63/1.01 (assume @p278 (forall @t295 (tptp.c_List_Odistinct @t149 @t1))) % 0.63/1.01 (assume @p279 (forall (@list @t3 @t28) (not (tptp.c_Lambda_Obeta @t205 @t28)))) % 0.63/1.01 (assume @p280 (forall @t290 (or (= @t371 @t353) @t180))) % 0.63/1.01 (assume @p281 (forall @t291 (or (= (tptp.c_List_Oremove1 @t2 @t41 @t1) @t41) @t227))) % 0.63/1.01 (assume @p282 (forall @t230 (or (= @t229 @t149) @t227))) % 0.63/1.01 (assume @p283 (forall @t18 (= (tptp.c_List_Oappend @t19 @t17 @t1) @t6))) % 0.63/1.01 (assume @p284 (forall (@list @t45 @t181 @t16 @t1) (or (= @t45 @t231) (not (tptp.c_List_Olist__all2 @t16 @t149 @t45 @t1 @t181))))) % 0.63/1.01 (assume @p285 (forall (@list @t6 @t1 @t16 @t181) (or @t304 (not (tptp.c_List_Olist__all2 @t16 @t6 @t231 @t1 @t181))))) % 0.63/1.01 (assume @p286 (forall @t177 (= (tptp.c_List_Otake @t71 @t6 @t1) @t149))) % 0.63/1.01 (assume @p287 (forall @t175 (or (not (= @t48 @t178)) @t293))) % 0.63/1.01 (assume @p288 (forall (@list @t45 @t6 @t31 @t2 @t198 @t1) (or @t322 @t200 @t199))) % 0.63/1.01 (assume @p289 (forall @t290 (= (tptp.c_List_Otake @t71 @t144 @t1) @t149))) % 0.63/1.01 (assume @p290 (forall (@list @t6 @t1 @t9) (or @t174 (not @t385)))) % 0.63/1.01 (assume @p291 (forall @t12 (or @t385 @t180))) % 0.63/1.01 (assume @p292 (forall @t193 (or (not (= @t192 @t149)) @t116))) % 0.63/1.01 (assume @p293 (forall (@list @t182 @t208 @t387 @t386 @t210 @t1 @t181) (= (tptp.c_Fun_Ocomp @t182 (tptp.c_Fun_Ocomp @t208 @t387 @t386 @t210 @t1) @t210 @t181 @t1) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t182 @t208 @t210 @t181 @t386) @t387 @t386 @t181 @t1)))) % 0.63/1.01 (assume @p294 (forall @t193 (= (tptp.c_Nat_Osize__class_Osize @t192 @t7) @t9))) % 0.63/1.01 (assume @p295 (forall (@list @t1 @t9 @t2) (or (not (= @t149 @t192)) @t116))) % 0.63/1.01 (assume @p296 (forall @t177 (or (not (= @t8 @t71)) @t304))) % 0.63/1.01 (assume @p297 (forall (@list @t1 @t6) (or (not (= @t149 @t48)) @t304))) % 0.63/1.01 (assume @p298 (forall @t84 (or @t96 @t388))) % 0.63/1.01 (assume @p299 (forall @t84 (or @t83 @t388))) % 0.63/1.01 (assume @p300 (forall @t299 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t240 @t242 @t237) @t242))) % 0.63/1.01 (assume @p301 (forall @t12 (or (not (= @t11 @t149)) @t304))) % 0.63/1.01 (assume @p302 (forall @t18 (= @t17 (tptp.c_List_Odrop @t20 @t6 @t1)))) % 0.63/1.01 (assume @p303 (forall (@list @t6 @t2 @t45 @t1 @t31) (= (tptp.c_List_Olist__update (tptp.c_List_Oappend @t6 @t47 @t1) @t8 @t31 @t1) (tptp.c_List_Oappend @t6 @t298 @t1)))) % 0.63/1.01 (assume @p304 (forall @t294 (or (not (= @t164 @t6)) @t363))) % 0.63/1.01 (assume @p305 (forall @t294 (or (not (= @t6 @t164)) @t363))) % 0.63/1.01 (assume @p306 (forall @t294 (or (not (= @t164 @t45)) @t304))) % 0.63/1.01 (assume @p307 (forall @t303 (or (not (= @t45 @t164)) @t304))) % 0.63/1.01 (assume @p308 (forall (@list @t1 @t2 @t6) (= @t319 @t144))) % 0.63/1.01 (assume @p309 (forall @t179 (= (tptp.c_List_OtakeWhile @t16 @t149 @t1) @t149))) % 0.63/1.01 (assume @p310 (forall @t64 (or @t83 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t2 @t1) @t2)))) % 0.63/1.01 (assume @p311 (forall @t389 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t240 @t240 @t237) @t240))) % 0.63/1.01 (assume @p312 (forall (@list @t151 @t1 @t153 @t157) (or (not (= (tptp.c_List_Oappend @t169 @t168 @t1) @t157)) @t270 @t269 @t268))) % 0.63/1.01 (assume @p313 (forall @t391 (or @t390 @t382))) % 0.63/1.01 (assume @p314 (forall @t391 (or @t390 @t110))) % 0.63/1.01 (assume @p315 (forall (@list @t206 @t393 @t24 @t28) (or (tptp.c_Type_Otyping @t206 @t393 @t24) (not (tptp.c_Lambda_Obeta @t28 @t393)) @t392))) % 0.63/1.01 (assume @p316 (forall @t362 (or @t38 @t275 @t394))) % 0.63/1.01 (assume @p317 (forall (@list @t1 @t45 @t6) (or @t38 (tptp.c_List_Olinorder__class_Osorted @t45 @t1) @t394))) % 0.63/1.01 (assume @p318 (forall (@list @t215 @t376 @t375) (not (= @t216 @t377)))) % 0.63/1.01 (assume @p319 (forall (@list @t6 @t3 @t2 @t1 @t395 @t53) (or (= (tptp.c_List_Olist__update @t21 @t395 @t53 @t1) (tptp.c_List_Olist__update (tptp.c_List_Olist__update @t6 @t395 @t53 @t1) @t3 @t2 @t1)) (= @t3 @t395)))) % 0.63/1.01 (assume @p320 (forall (@list @t182 @t16 @t181 @t1) (= (tptp.c_List_Omap__filter @t182 @t16 @t231 @t181 @t1) @t149))) % 0.63/1.01 (assume @p321 (forall (@list @t217 @t396) (or (not (= @t218 (tptp.c_Lambda_OdB_OVar @t396))) (= @t217 @t396)))) % 0.63/1.01 (assume @p322 (forall @t18 (or @t328 (not @t397)))) % 0.63/1.01 (assume @p323 (forall @t18 (or @t397 @t329))) % 0.63/1.01 (assume @p324 (forall (@list @t376 @t375 @t215) (not (= @t377 @t216)))) % 0.63/1.01 (assume @p325 (forall (@list @t215 @t217) (not (= @t216 @t218)))) % 0.63/1.01 (assume @p326 (forall (@list @t9 @t2 @t1 @t6) (= (tptp.c_List_Oappend @t192 @t144 @t1) (tptp.c_List_Olist_OCons @t2 (tptp.c_List_Oappend @t192 @t6 @t1) @t1)))) % 0.63/1.01 (assume @p327 (forall (@list @t86 @t88 @t210 @t181 @t1 @t102 @t302 @t386 @t145) (or (not (= @t213 (tptp.c_Fun_Ocomp @t102 @t302 @t386 @t181 @t1))) (= @t214 (tptp.hAPP @t102 (tptp.hAPP @t302 @t145)))))) % 0.63/1.01 (assume @p328 (forall (@list @t182 @t208 @t2 @t400 @t399 @t53 @t181 @t1 @t210 @t386 @t398) (or (not (= @t209 (tptp.hAPP @t400 (tptp.hAPP @t399 @t53)))) (= @t212 (tptp.hAPP (tptp.c_Fun_Ocomp @t400 @t399 @t386 @t1 @t398) @t53))))) % 0.63/1.01 (assume @p329 (forall @t295 (= @t149 @t338))) % 0.63/1.01 (assume @p330 (forall @t274 (= (tptp.c_List_OremoveAll @t2 @t149 @t1) @t149))) % 0.63/1.01 (assume @p331 (forall @t177 (= (tptp.c_Nat_Osize__class_Osize @t48 @t7) @t8))) % 0.63/1.01 (assume @p332 (forall (@list @t16 @t1 @t181) (tptp.c_List_Olist__all2 @t16 @t149 @t231 @t1 @t181))) % 0.63/1.01 (assume @p333 (forall (@list @t240 @t239 @t1 @t2) (or @t324 (not @t326) (not @t327)))) % 0.63/1.01 (assume @p334 (forall @t18 (= (tptp.c_List_Orev @t41 @t1) (tptp.c_List_Ofilter @t16 @t48 @t1)))) % 0.63/1.01 (assume @p335 (forall @t64 (tptp.c_List_Olist__all2 @t292 @t2 @t2 @t1 @t1))) % 0.63/1.01 (assume @p336 (forall @t402 (or @t401 @t293))) % 0.63/1.01 (assume @p337 (forall @t402 (or @t401 @t109))) % 0.63/1.01 (assume @p338 (forall (@list @t16 @t6 @t1 @t45) (or @t328 @t403))) % 0.63/1.01 (assume @p339 (forall (@list @t16 @t45 @t1 @t6) (or @t330 @t403))) % 0.63/1.01 (assume @p340 (forall @t295 (= @t323 @t149))) % 0.63/1.01 (assume @p341 (forall @t305 (or @t38 (tptp.c_List_Olinorder__class_Osorted @t17 @t1) @t276))) % 0.63/1.01 (assume @p342 (forall (@list @t6 @t3 @t2 @t1 @t31) (= (tptp.c_List_Olist__update @t21 @t3 @t31 @t1) (tptp.c_List_Olist__update @t6 @t3 @t31 @t1)))) % 0.63/1.01 (assume @p343 (forall @t279 (= (tptp.c_List_Oappend @t164 @t34 @t1) (tptp.c_List_Oappend @t6 (tptp.c_List_Oappend @t45 @t34 @t1) @t1)))) % 0.63/1.01 (assume @p344 (forall (@list @t6 @t404 @t254 @t1) (= (tptp.c_List_Oappend @t6 (tptp.c_List_Oappend @t404 @t254 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t6 @t404 @t1) @t254 @t1)))) % 0.63/1.01 (assume @p345 (forall (@list @t34 @t2 @t1 @t45) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t34 @t2 @t1) @t45 @t1) (tptp.c_List_Oappend @t34 (tptp.c_List_Oappend @t2 @t45 @t1) @t1)))) % 0.63/1.01 (assume @p346 (forall (@list @t6 @t2 @t232 @t1) (= (tptp.c_List_Oappend @t6 (tptp.c_List_Oappend @t2 @t232 @t1) @t1) (tptp.c_List_Oappend @t285 @t232 @t1)))) % 0.63/1.01 (assume @p347 (forall (@list @t1 @t86 @t6) (or @t38 (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremove1 @t86 @t6 @t1) @t1) @t276))) % 0.63/1.01 (assume @p348 (forall (@list @t206 @t3 @t23 @t28 @t24) (or (tptp.c_Type_Otyping @t406 @t405 @t24) @t392))) % 0.63/1.01 (assume @p349 (forall @t407 (or (= (tptp.c_List_Oremove1 @t2 @t318 @t1) (tptp.c_List_Olist_OCons @t31 @t371 @t1)) @t109))) % 0.63/1.01 (assume @p350 (forall (@list @t198 @t2 @t6 @t1 @t31 @t45) (or (tptp.c_List_Olistrelp @t198 @t144 @t298 @t1) (not (tptp.c_List_Olistrelp @t198 @t6 @t45 @t1)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t198 @t2) @t31)))))) % 0.63/1.01 (assume @p351 (forall @t410 (or @t409 @t227 (not @t408)))) % 0.63/1.01 (assume @p352 (forall @t283 (or @t408 (not @t409)))) % 0.63/1.01 (assume @p353 (forall (@list @t16 @t2 @t136 @t1 @t31 @t45 @t181) (or (tptp.c_List_Olist__all2 @t16 @t414 @t413 @t1 @t181) (not (tptp.c_List_Olist__all2 @t16 @t136 @t45 @t1 @t181)) @t412))) % 0.63/1.01 (assume @p354 (forall (@list @t16 @t2 @t6 @t1 @t136 @t346 @t181) (or (tptp.c_List_Olist__all2 @t16 @t144 @t415 @t1 @t181) (not (tptp.c_List_Olist__all2 @t16 @t6 @t346 @t1 @t181)) (not (tptp.hBOOL (tptp.hAPP @t226 @t136)))))) % 0.63/1.01 (assume @p355 (forall (@list @t16 @t2 @t6 @t1 @t31 @t45 @t181) (or @t416 @t187 @t412))) % 0.63/1.01 (assume @p356 (forall @t407 (or (= (tptp.c_List_OremoveAll @t2 @t318 @t1) (tptp.c_List_Olist_OCons @t31 @t353 @t1)) @t109))) % 0.63/1.01 (assume @p357 (forall @t368 (or @t367 (not @t369)))) % 0.63/1.01 (assume @p358 (forall @t283 (or @t408 @t228))) % 0.63/1.01 (assume @p359 (forall @t359 (or (= @t358 @t183) @t227))) % 0.63/1.01 (assume @p360 (forall @t290 (tptp.c_List_OListMem @t2 @t144 @t1))) % 0.63/1.01 (assume @p361 (forall (@list @t16 @t6 @t45 @t1 @t181 @t2 @t31) (or @t186 @t417))) % 0.63/1.01 (assume @p362 (forall (@list @t16 @t45 @t1 @t2 @t6) (or (not (= @t343 @t144)) @t227))) % 0.63/1.01 (assume @p363 (forall (@list @t198 @t31 @t136 @t2 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t201 @t136))) (tptp.c_ListOrder_Ostep1 @t198 (tptp.c_List_Olist_OCons @t31 @t2 @t1) (tptp.c_List_Olist_OCons @t136 @t2 @t1) @t1)))) % 0.63/1.01 (assume @p364 (forall (@list @t2 @t31 @t6 @t45 @t198 @t1) (or @t109 @t293 @t351))) % 0.63/1.01 (assume @p365 (forall @t283 (or (= @t349 (tptp.c_List_Olist_OCons @t2 @t41 @t1)) @t228))) % 0.63/1.01 (assume @p366 (forall (@list @t2 @t6 @t1 @t16 @t45) (or (not (= @t144 @t343)) @t227))) % 0.63/1.01 (assume @p367 (forall (@list @t182 @t86 @t2 @t6 @t181 @t1) (= (tptp.c_List_Ofoldl @t182 @t86 @t357 @t1 @t181) (tptp.c_List_Ofoldl @t182 (tptp.hAPP (tptp.hAPP @t182 @t86) @t2) @t6 @t1 @t181)))) % 0.63/1.01 (assume @p368 (forall (@list @t1 @t31 @t34 @t2) (or @t38 @t36 @t40))) % 0.63/1.01 (assume @p369 (forall (@list @t2 @t136 @t1 @t34) (= @t419 @t418))) % 0.63/1.01 (assume @p370 (forall (@list @t2 @t6 @t1 @t45) (= (tptp.c_List_Oappend @t144 @t45 @t1) (tptp.c_List_Olist_OCons @t2 @t164 @t1)))) % 0.63/1.01 (assume @p371 (forall (@list @t288 @t289 @t86 @t347 @t181 @t1) (= (tptp.c_List_Olist_Olist__case @t288 @t289 (tptp.c_List_Olist_OCons @t86 @t347 @t181) @t1 @t181) @t348))) % 0.63/1.01 (assume @p372 @t421) % 0.63/1.01 (assume @p373 (forall (@list @t16 @t2 @t31 @t6 @t1 @t45 @t181) (or @t411 @t417))) % 0.63/1.01 (assume @p374 (forall (@list @t2 @t136 @t34 @t1) (= @t418 @t419))) % 0.63/1.01 (assume @p375 (forall (@list @t2 @t404 @t34 @t1) (= (tptp.c_List_Olist_OCons @t2 (tptp.c_List_Oappend @t404 @t34 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t2 @t404 @t1) @t34 @t1)))) % 0.63/1.01 (assume @p376 (forall (@list @t2 @t136 @t1) (not (= @t414 @t149)))) % 0.63/1.01 (assume @p377 (forall (@list @t104 @t354 @t1) (not (= @t355 @t149)))) % 0.63/1.01 (assume @p378 (forall (@list @t2 @t31 @t198 @t45 @t1 @t6) (or @t109 @t202 @t351))) % 0.63/1.01 (assume @p379 (forall (@list @t1 @t6 @t2) (or @t38 @t275 (not (tptp.c_List_Olinorder__class_Osorted @t144 @t1))))) % 0.63/1.01 (assume @p380 (forall @t283 (or (= @t282 (tptp.c_List_Olist_OCons @t2 @t19 @t1)) @t228))) % 0.63/1.01 (assume @p381 (forall @t410 (or @t328 @t422))) % 0.63/1.01 (assume @p382 (forall @t283 (or @t227 @t422))) % 0.63/1.01 (assume @p383 (forall @t407 (or (tptp.c_List_OListMem @t2 @t318 @t1) (not (tptp.c_List_OListMem @t2 @t6 @t1))))) % 0.63/1.01 (assume @p384 (forall @t204 (or @t174 (not (tptp.c_List_Odistinct @t144 @t1))))) % 0.63/1.01 (assume @p385 (forall @t427 (or @t426 (= @t6 (tptp.c_List_Olist_OCons @t424 @t423 @t181))))) % 0.63/1.01 (assume @p386 (forall @t432 (or @t431 (= @t45 (tptp.c_List_Olist_OCons @t429 @t428 @t181))))) % 0.63/1.01 (assume @p387 (forall @t427 (or @t426 (= @t6 (tptp.c_List_Olist_OCons @t434 @t433 @t181))))) % 0.63/1.01 (assume @p388 (forall @t432 (or @t431 (= @t45 (tptp.c_List_Olist_OCons @t436 @t435 @t181))))) % 0.63/1.01 (assume @p389 (forall (@list @t28 @t232 @t3) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t261) @t3) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t405 @t437 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.63/1.01 (assume @p390 (forall (@list @t206 @t3 @t23 @t232 @t256) (or (tptp.c_Type_Otypings @t406 @t437 @t256) @t257))) % 0.63/1.01 (assume @p391 (forall @t439 (or (not (= @t425 @t149)) @t438))) % 0.63/1.01 (assume @p392 (forall @t440 (= (tptp.c_List_Odrop @t9 @t425 @t1) (tptp.c_List_Omap @t182 (tptp.c_List_Odrop @t9 @t6 @t181) @t181 @t1)))) % 0.63/1.01 (assume @p393 (forall (@list @t182 @t6 @t1) (or (not (= (tptp.hAPP @t182 @t441) @t441)) (= (tptp.c_List_Omap @t182 @t6 @t1 @t1) @t6)))) % 0.63/1.01 (assume @p394 (forall (@list @t6 @t181 @t182 @t1) (or (tptp.c_List_Odistinct @t6 @t181) (not (tptp.c_List_Odistinct @t425 @t1))))) % 0.63/1.01 (assume @p395 (forall (@list @t182 @t6 @t45 @t181 @t1) (= (tptp.c_List_Omap @t182 @t339 @t181 @t1) (tptp.c_List_Oappend @t425 @t430 @t1)))) % 0.63/1.01 (assume @p396 (forall (@list @t182 @t6 @t181 @t1 @t45) (or (not (= @t425 @t430)) (= @t442 @t220)))) % 0.63/1.01 (assume @p397 (forall (@list @t1 @t182 @t6 @t181) (or (not (= @t149 @t425)) @t438))) % 0.63/1.01 (assume @p398 (forall (@list @t182 @t9 @t2 @t181 @t1) (= (tptp.c_List_Omap @t182 (tptp.c_List_Oreplicate @t9 @t2 @t181) @t181 @t1) (tptp.c_List_Oreplicate @t9 @t356 @t1)))) % 0.63/1.01 (assume @p399 (forall @t439 (= (tptp.c_Nat_Osize__class_Osize @t425 @t7) @t442))) % 0.63/1.01 (assume @p400 (forall @t440 (= (tptp.c_List_Orotate @t9 @t425 @t1) (tptp.c_List_Omap @t182 (tptp.c_List_Orotate @t9 @t6 @t181) @t181 @t1)))) % 0.63/1.01 (assume @p401 (forall @t439 (= (tptp.c_List_Orev @t425 @t1) (tptp.c_List_Omap @t182 (tptp.c_List_Orev @t6 @t181) @t181 @t1)))) % 0.63/1.01 (assume @p402 (forall (@list @t182 @t208 @t6 @t1 @t181) (or (not (= (tptp.hAPP @t182 @t443) (tptp.hAPP @t208 @t443))) (= (tptp.c_List_Omap @t182 @t6 @t1 @t181) (tptp.c_List_Omap @t208 @t6 @t1 @t181))))) % 0.63/1.01 (assume @p403 (forall @t440 (= (tptp.c_List_Otake @t9 @t425 @t1) (tptp.c_List_Omap @t182 (tptp.c_List_Otake @t9 @t6 @t181) @t181 @t1)))) % 0.63/1.01 (assume @p404 (forall (@list @t182 @t181 @t1) (= @t444 @t149))) % 0.63/1.01 (assume @p405 (forall (@list @t182 @t208 @t6 @t210 @t181 @t1) (= (tptp.c_List_Omap @t182 (tptp.c_List_Omap @t208 @t6 @t210 @t181) @t181 @t1) (tptp.c_List_Omap @t211 @t6 @t210 @t1)))) % 0.63/1.01 (assume @p406 (forall (@list @t182 @t208 @t2 @t1 @t181) (or (not (= (tptp.hAPP @t182 @t445) (tptp.hAPP @t208 @t445))) (= (tptp.c_List_Omap @t182 @t2 @t1 @t181) (tptp.c_List_Omap @t208 @t2 @t1 @t181))))) % 0.63/1.01 (assume @p407 (forall (@list @t182 @t208 @t6 @t181 @t1) (or (not (= (tptp.hAPP @t182 @t446) (tptp.hAPP @t208 @t446))) (= @t425 (tptp.c_List_Omap @t208 @t6 @t181 @t1))))) % 0.63/1.01 (assume @p408 (forall (@list @t182 @t6 @t4 @t31 @t181 @t1) (= (tptp.c_List_Omap @t182 (tptp.c_List_Olist__update @t6 @t4 @t31 @t181) @t181 @t1) (tptp.c_List_Olist__update @t425 @t4 (tptp.hAPP @t182 @t31) @t1)))) % 0.63/1.01 (assume @p409 (forall (@list @t1 @t182 @t181) (= @t149 @t444))) % 0.63/1.01 (assume @p410 (forall (@list @t28 @t246 @t26 @t4) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t310) @t26) @t4) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t248 @t26) @t4)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t246) @t26) @t4))))) % 0.63/1.01 (assume @p411 (forall (@list @t4 @t246) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t4)) @t246) @t4) @t246))) % 0.63/1.01 (assume @p412 (forall (@list @t198 @t28 @t3 @t26) (or (tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP @t223 @t28) @t3) (tptp.hAPP @t374 @t3)) @t317))) % 0.63/1.01 (assume @p413 (forall (@list @t28 @t4 @t26) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t190) @t26) @t4) @t28))) % 0.63/1.01 (assume @p414 (forall @t320 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t405)) @t243))) % 0.63/1.01 (assume @p415 (forall @t67 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t233)))) % 0.63/1.01 (assume @p416 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.63/1.01 (assume @p417 (forall (@list @t198) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t224)) @t447))) % 0.63/1.01 (assume @p418 (forall (@list @t240 @t6 @t45 @t1) (or @t450 (not @t449) (not @t448)))) % 0.63/1.01 (assume @p419 (forall (@list @t240 @t6 @t1) (or @t448 (not (tptp.hBOOL (tptp.hAPP @t240 (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 @t240 @t6 @t1))))))) % 0.63/1.01 (assume @p420 (forall (@list @t240 @t239 @t1 @t129) (or (tptp.c_List_Olistsp @t242 @t129 @t1) (not (tptp.c_List_Olistsp @t239 @t129 @t1)) (not (tptp.c_List_Olistsp @t240 @t129 @t1))))) % 0.63/1.01 (assume @p421 (forall @t389 (tptp.c_List_Olistsp @t240 @t149 @t1))) % 0.63/1.01 (assume @p422 (forall (@list @t240 @t45 @t1 @t6) (or @t449 @t451))) % 0.63/1.01 (assume @p423 (forall (@list @t240 @t6 @t1 @t45) (or @t448 @t451))) % 0.63/1.01 (assume @p424 (forall (@list @t456 @t453 @t454 @t452) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t457 @t456) @t453))) (not (tptp.c_Type_Otyping @t454 @t456 tptp.v_T____)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t456))) @t455))) % 0.63/1.01 (assume @p425 (forall (@list @t246 @t453 @t454 @t452) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t457 @t246) @t453))) (not (tptp.c_Type_Otyping @t454 @t246 tptp.v_T____)) @t247 @t455))) % 0.63/1.01 (assume @p426 (not (= tptp.v_n____ tptp.v_i____))) % 0.63/1.01 (assume @p427 (forall (@list @t206 @t246 @t3 @t232 @t256 @t24) (or (tptp.c_Type_Otypings @t206 @t459 @t256) (not (tptp.c_Type_Otypings (tptp.c_Type_Oshift @t206 @t3 @t24 tptp.tc_Type_Otype) @t232 @t256)) (not (tptp.c_Type_Otyping @t206 @t246 @t24))))) % 0.63/1.01 (assume @p428 (forall @t427 (or @t426 (= (tptp.c_List_Omap @t182 @t433 @t181 @t1) @t45)))) % 0.63/1.01 (assume @p429 (forall @t432 (or @t431 (= @t6 (tptp.c_List_Omap @t182 @t428 @t181 @t1))))) % 0.63/1.01 (assume @p430 (forall @t427 (or @t426 (= (tptp.hAPP @t182 @t434) @t31)))) % 0.63/1.01 (assume @p431 (forall @t427 (or @t426 (= (tptp.hAPP @t182 @t424) @t31)))) % 0.63/1.01 (assume @p432 (forall @t427 (or @t426 (= (tptp.c_List_Omap @t182 @t423 @t181 @t1) @t45)))) % 0.63/1.01 (assume @p433 (forall @t432 (or @t431 (= @t2 (tptp.hAPP @t182 @t429))))) % 0.63/1.01 (assume @p434 (forall @t432 (or @t431 (= @t2 (tptp.hAPP @t182 @t436))))) % 0.63/1.01 (assume @p435 (forall @t432 (or @t431 (= @t6 (tptp.c_List_Omap @t182 @t435 @t181 @t1))))) % 0.63/1.01 (assume @p436 (forall (@list @t198 @t3 @t66) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t223 @t205) @t66))) @t447))) % 0.63/1.01 (assume @p437 (forall (@list @t232) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.c_COMBC tptp.c_Lambda_Olift @t71 tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB) @t232 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t232 tptp.tc_Lambda_OdB))))) % 0.63/1.01 (assume @p438 (forall (@list @t28 @t232 @t246 @t3) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t261) @t246) @t3) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t249 @t459 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.63/1.01 (assume @p439 (forall @t461 (or @t460 (= @t347 @t354)))) % 0.63/1.01 (assume @p440 (forall @t461 (or @t460 (= @t86 @t104)))) % 0.63/1.01 (assume @p441 (forall (@list @t16 @t462 @t181 @t210 @t1 @t463) (= (tptp.hAPP (tptp.c_COMBC @t16 @t462 @t181 @t210 @t1) @t463) (tptp.hAPP (tptp.hAPP @t16 @t463) @t462)))) % 0.63/1.01 (assume @p442 (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t466 tptp.tc_Lambda_OdB)) % 0.63/1.01 (assume @p443 (forall (@list @t182 @t2 @t136 @t181 @t1) (= (tptp.c_List_Omap @t182 (tptp.c_List_Olist_OCons @t2 @t136 @t181) @t181 @t1) (tptp.c_List_Olist_OCons @t356 (tptp.c_List_Omap @t182 @t136 @t181 @t1) @t1)))) % 0.63/1.01 (assume @p444 (forall (@list @t182 @t136 @t346 @t181 @t1) (= (tptp.c_List_Olist_OCons (tptp.hAPP @t182 @t136) (tptp.c_List_Omap @t182 @t346 @t181 @t1) @t1) (tptp.c_List_Omap @t182 @t415 @t181 @t1)))) % 0.63/1.01 (assume @p445 (forall (@list @t182 @t2 @t6 @t181 @t1) (= (tptp.c_List_Omap @t182 @t357 @t181 @t1) (tptp.c_List_Olist_OCons @t356 @t425 @t1)))) % 0.63/1.01 (assume @p446 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.63/1.01 (assume @p447 (forall (@list @t2 @t28 @t1) (not (= (tptp.c_List_Olist_OCons @t2 @t28 @t1) @t28)))) % 0.63/1.01 (assume @p448 (forall (@list @t6 @t2 @t1) (not (= @t6 @t144)))) % 0.63/1.01 (assume @p449 (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t468 tptp.tc_Lambda_OdB)) % 0.63/1.01 (assume @p450 (not @t469)) % 0.63/1.01 (assume @p451 (forall @t474 (or (tptp.class_Lattices_Olower__semilattice @t473) @t471))) % 0.63/1.01 (assume @p452 (forall @t474 (or (tptp.class_Orderings_Opreorder @t473) (not (tptp.class_Orderings_Opreorder @t470))))) % 0.63/1.01 (assume @p453 (forall @t474 (or (tptp.class_Lattices_Olattice @t473) @t471))) % 0.63/1.01 (assume @p454 (forall @t474 (or (tptp.class_Orderings_Oorder @t473) (not (tptp.class_Orderings_Oorder @t470))))) % 0.63/1.01 (assume @p455 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.63/1.01 (assume @p456 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.63/1.01 (assume @p457 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.63/1.01 (assume @p458 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.63/1.01 (assume @p459 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.63/1.01 (assume @p460 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.63/1.01 (assume @p461 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.63/1.01 (assume @p462 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.63/1.01 (assume @p463 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.63/1.01 (assume @p464 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.63/1.01 (assume @p465 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p466 (tptp.class_Lattices_Olower__semilattice tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p467 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p468 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p469 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p470 (tptp.class_Ring__and__Field_Oidom tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p471 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p472 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p473 (tptp.class_Lattices_Olattice tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p474 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p475 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p476 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p477 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 0.63/1.01 (assume @p478 (forall (@list @t16 @t462 @t463 @t181 @t1 @t210) (= (tptp.c_COMBB @t16 @t462 @t463 @t181 @t1 @t210) (tptp.hAPP @t16 (tptp.hAPP @t462 @t463))))) % 0.63/1.01 (assume @p479 (forall @t64 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t292 @t2) @t2)))) % 0.63/1.01 (assume @p480 (forall (@list @t476 @t475 @t1) (or (= @t476 @t475) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t292 @t476) @t475)))))) % 0.63/1.01 (step @p481 :rule evaluate :args ((= false true))) % 0.63/1.01 (step @p482 :rule true_intro :premises (@p449)) % 0.63/1.01 (step @p483 :rule refl :args (tptp.tc_Lambda_OdB)) % 0.63/1.01 (step @p484 :rule instantiate :premises (@p211) :args ((@list @t467 @t466 tptp.tc_Lambda_OdB))) % 0.63/1.01 (step @p485 :rule symm :premises (@p484)) % 0.63/1.01 (step @p486 :rule refl :args (tptp.c_InductTermi_OIT)) % 0.63/1.01 (step @p487 :rule cong :premises (@p486 @p485 @p483) :args ((tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Oappend (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) @t468 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB))) % 0.63/1.01 (step @p488 :rule eq-symm :args (@t420 @t6)) % 0.63/1.01 (step @p489 :rule cong :premises (@p488) :args (@t421)) % 0.63/1.01 (step @p490 :rule eq_resolve :premises (@p372 @p489)) % 0.63/1.01 (step @p491 :rule instantiate :premises (@p490) :args ((@list @t477 @t466 tptp.tc_Lambda_OdB))) % 0.63/1.01 (step @p492 :rule symm :premises (@p491)) % 0.63/1.01 (step @p493 :rule refl :args (@t467)) % 0.63/1.01 (step @p494 :rule cong :premises (@p493 @p492 @p483) :args ((tptp.c_List_Olist_OCons @t467 (tptp.c_List_Oremove1 @t477 @t478 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB))) % 0.63/1.01 (step @p495 :rule refl :args (tptp.v_i____)) % 0.63/1.01 (step @p496 :rule instantiate :premises (@p441) :args ((@list tptp.c_Lambda_Osubst tptp.v_u____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t458 tptp.v_a____))) % 0.63/1.01 (step @p497 :rule cong :premises (@p496 @p495) :args ((tptp.hAPP (tptp.hAPP @t464 tptp.v_a____) tptp.v_i____))) % 0.63/1.01 (step @p498 :rule instantiate :premises (@p441) :args ((@list @t464 tptp.v_i____ tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB tptp.v_a____))) % 0.63/1.01 (step @p499 :rule trans :premises (@p498 @p497)) % 0.63/1.01 (step @p500 :rule cong :premises (@p499 @p491 @p483) :args (@t478)) % 0.63/1.01 (step @p501 :rule instantiate :premises (@p443) :args ((@list @t465 tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) % 0.63/1.01 (step @p502 :rule trans :premises (@p501 @p500 @p494)) % 0.63/1.01 (step @p503 :rule trans :premises (@p502 @p484)) % 0.63/1.01 (step @p504 :rule cong :premises (@p486 @p503 @p483) :args (@t469)) % 0.63/1.01 (step @p505 :rule false_intro :premises (@p450)) % 0.63/1.01 (step @p506 :rule symm :premises (@p505)) % 0.63/1.01 (step @p507 :rule trans :premises (@p506 @p504 @p487 @p482)) % 0.63/1.01 (step @p508 false :rule eq_resolve :premises (@p507 @p481)) % 0.63/1.01 ) % 0.63/1.01 % SZS output end Proof % 0.63/1.01 % cvc5 exiting %------------------------------------------------------------------------------