% TIMEFORMAT='%3R'; { time (exec 2>&1; /home/martin/bin/satallax -E /home/martin/.isabelle/contrib/e-2.5-1/x86_64-linux/eprover -p tstp -t 5 /home/martin/judgement-day/tptp-thf/tptp/Fundamental_Theorem_Algebra/prob_123__5368126_1 ) ; }
% This file was generated by Isabelle (most likely Sledgehammer)
% 2020-12-16 14:27:16.229

% Could-be-implicit typings (2)
thf(ty_n_t__Set__Oset_It__Real__Oreal_J, type,
    set_real : $tType).
thf(ty_n_t__Real__Oreal, type,
    real : $tType).

% Explicit typings (15)
thf(sy_c_Complete__Lattices_OSup__class_OSup_001t__Real__Oreal, type,
    comple2129349247p_real : set_real > real).
thf(sy_c_Conditionally__Complete__Lattices_Opreorder__class_Obdd__above_001t__Real__Oreal, type,
    condit1201756488e_real : set_real > $o).
thf(sy_c_Lattices_Osup__class_Osup_001t__Set__Oset_It__Real__Oreal_J, type,
    sup_sup_set_real : set_real > set_real > set_real).
thf(sy_c_Orderings_Obot__class_Obot_001_062_It__Real__Oreal_M_Eo_J, type,
    bot_bot_real_o : real > $o).
thf(sy_c_Orderings_Obot__class_Obot_001t__Set__Oset_It__Real__Oreal_J, type,
    bot_bot_set_real : set_real).
thf(sy_c_Orderings_Oord__class_Oless_001t__Real__Oreal, type,
    ord_less_real : real > real > $o).
thf(sy_c_Orderings_Otop__class_Otop_001_062_It__Real__Oreal_M_Eo_J, type,
    top_top_real_o : real > $o).
thf(sy_c_Orderings_Otop__class_Otop_001t__Set__Oset_It__Real__Oreal_J, type,
    top_top_set_real : set_real).
thf(sy_c_Set_OCollect_001t__Real__Oreal, type,
    collect_real : (real > $o) > set_real).
thf(sy_c_Set__Interval_Oord__class_OatLeastLessThan_001t__Real__Oreal, type,
    set_or2075149659n_real : real > real > set_real).
thf(sy_c_Set__Interval_Oord__class_OgreaterThanAtMost_001t__Real__Oreal, type,
    set_or1638906204t_real : real > real > set_real).
thf(sy_c_Set__Interval_Oord__class_OgreaterThanLessThan_001t__Real__Oreal, type,
    set_or951364608n_real : real > real > set_real).
thf(sy_c_Set__Interval_Oord__class_OgreaterThan_001t__Real__Oreal, type,
    set_or578938182n_real : real > set_real).
thf(sy_c_member_001t__Real__Oreal, type,
    member_real : real > set_real > $o).
thf(sy_v_P, type,
    p : real > $o).

% Relevant facts (81)
thf(fact_0_ex, axiom,
    ((?[X_1 : real]: (p @ X_1)))). % ex
thf(fact_1__092_060open_062bdd__above_A_ICollect_AP_J_092_060close_062, axiom,
    ((condit1201756488e_real @ (collect_real @ p)))). % \<open>bdd_above (Collect P)\<close>
thf(fact_2_bz, axiom,
    ((?[Z : real]: (![X : real]: ((p @ X) => (ord_less_real @ X @ Z)))))). % bz
thf(fact_3_minf_I7_J, axiom,
    ((![T : real]: (?[Z : real]: (![X : real]: ((ord_less_real @ X @ Z) => (~ ((ord_less_real @ T @ X))))))))). % minf(7)
thf(fact_4_minf_I5_J, axiom,
    ((![T : real]: (?[Z : real]: (![X : real]: ((ord_less_real @ X @ Z) => (ord_less_real @ X @ T))))))). % minf(5)
thf(fact_5_minf_I4_J, axiom,
    ((![T : real]: (?[Z : real]: (![X : real]: ((ord_less_real @ X @ Z) => (~ ((X = T))))))))). % minf(4)
thf(fact_6_minf_I3_J, axiom,
    ((![T : real]: (?[Z : real]: (![X : real]: ((ord_less_real @ X @ Z) => (~ ((X = T))))))))). % minf(3)
thf(fact_7_minf_I2_J, axiom,
    ((![P : real > $o, P2 : real > $o, Q : real > $o, Q2 : real > $o]: ((?[Z2 : real]: (![X2 : real]: ((ord_less_real @ X2 @ Z2) => ((P @ X2) = (P2 @ X2))))) => ((?[Z2 : real]: (![X2 : real]: ((ord_less_real @ X2 @ Z2) => ((Q @ X2) = (Q2 @ X2))))) => (?[Z : real]: (![X : real]: ((ord_less_real @ X @ Z) => ((((P @ X)) | ((Q @ X))) = (((P2 @ X)) | ((Q2 @ X)))))))))))). % minf(2)
thf(fact_8_minf_I1_J, axiom,
    ((![P : real > $o, P2 : real > $o, Q : real > $o, Q2 : real > $o]: ((?[Z2 : real]: (![X2 : real]: ((ord_less_real @ X2 @ Z2) => ((P @ X2) = (P2 @ X2))))) => ((?[Z2 : real]: (![X2 : real]: ((ord_less_real @ X2 @ Z2) => ((Q @ X2) = (Q2 @ X2))))) => (?[Z : real]: (![X : real]: ((ord_less_real @ X @ Z) => ((((P @ X)) & ((Q @ X))) = (((P2 @ X)) & ((Q2 @ X)))))))))))). % minf(1)
thf(fact_9_pinf_I7_J, axiom,
    ((![T : real]: (?[Z : real]: (![X : real]: ((ord_less_real @ Z @ X) => (ord_less_real @ T @ X))))))). % pinf(7)
thf(fact_10_pinf_I5_J, axiom,
    ((![T : real]: (?[Z : real]: (![X : real]: ((ord_less_real @ Z @ X) => (~ ((ord_less_real @ X @ T))))))))). % pinf(5)
thf(fact_11_pinf_I4_J, axiom,
    ((![T : real]: (?[Z : real]: (![X : real]: ((ord_less_real @ Z @ X) => (~ ((X = T))))))))). % pinf(4)
thf(fact_12_pinf_I1_J, axiom,
    ((![P : real > $o, P2 : real > $o, Q : real > $o, Q2 : real > $o]: ((?[Z2 : real]: (![X2 : real]: ((ord_less_real @ Z2 @ X2) => ((P @ X2) = (P2 @ X2))))) => ((?[Z2 : real]: (![X2 : real]: ((ord_less_real @ Z2 @ X2) => ((Q @ X2) = (Q2 @ X2))))) => (?[Z : real]: (![X : real]: ((ord_less_real @ Z @ X) => ((((P @ X)) & ((Q @ X))) = (((P2 @ X)) & ((Q2 @ X)))))))))))). % pinf(1)
thf(fact_13_pinf_I2_J, axiom,
    ((![P : real > $o, P2 : real > $o, Q : real > $o, Q2 : real > $o]: ((?[Z2 : real]: (![X2 : real]: ((ord_less_real @ Z2 @ X2) => ((P @ X2) = (P2 @ X2))))) => ((?[Z2 : real]: (![X2 : real]: ((ord_less_real @ Z2 @ X2) => ((Q @ X2) = (Q2 @ X2))))) => (?[Z : real]: (![X : real]: ((ord_less_real @ Z @ X) => ((((P @ X)) | ((Q @ X))) = (((P2 @ X)) | ((Q2 @ X)))))))))))). % pinf(2)
thf(fact_14_pinf_I3_J, axiom,
    ((![T : real]: (?[Z : real]: (![X : real]: ((ord_less_real @ Z @ X) => (~ ((X = T))))))))). % pinf(3)
thf(fact_15_ex__gt__or__lt, axiom,
    ((![A : real]: (?[B : real]: ((ord_less_real @ A @ B) | (ord_less_real @ B @ A)))))). % ex_gt_or_lt
thf(fact_16_linorder__neqE__linordered__idom, axiom,
    ((![X3 : real, Y : real]: ((~ ((X3 = Y))) => ((~ ((ord_less_real @ X3 @ Y))) => (ord_less_real @ Y @ X3)))))). % linorder_neqE_linordered_idom
thf(fact_17_dual__order_Ostrict__implies__not__eq, axiom,
    ((![B2 : real, A : real]: ((ord_less_real @ B2 @ A) => (~ ((A = B2))))))). % dual_order.strict_implies_not_eq
thf(fact_18_linordered__field__no__ub, axiom,
    ((![X : real]: (?[X_1 : real]: (ord_less_real @ X @ X_1))))). % linordered_field_no_ub
thf(fact_19_linordered__field__no__lb, axiom,
    ((![X : real]: (?[Y2 : real]: (ord_less_real @ Y2 @ X))))). % linordered_field_no_lb
thf(fact_20_order_Ostrict__implies__not__eq, axiom,
    ((![A : real, B2 : real]: ((ord_less_real @ A @ B2) => (~ ((A = B2))))))). % order.strict_implies_not_eq
thf(fact_21_not__less__iff__gr__or__eq, axiom,
    ((![X3 : real, Y : real]: ((~ ((ord_less_real @ X3 @ Y))) = (((ord_less_real @ Y @ X3)) | ((X3 = Y))))))). % not_less_iff_gr_or_eq
thf(fact_22_dual__order_Ostrict__trans, axiom,
    ((![B2 : real, A : real, C : real]: ((ord_less_real @ B2 @ A) => ((ord_less_real @ C @ B2) => (ord_less_real @ C @ A)))))). % dual_order.strict_trans
thf(fact_23_ord__eq__less__subst, axiom,
    ((![A : real, F : real > real, B2 : real, C : real]: ((A = (F @ B2)) => ((ord_less_real @ B2 @ C) => ((![X2 : real, Y2 : real]: ((ord_less_real @ X2 @ Y2) => (ord_less_real @ (F @ X2) @ (F @ Y2)))) => (ord_less_real @ A @ (F @ C)))))))). % ord_eq_less_subst
thf(fact_24_ord__less__eq__subst, axiom,
    ((![A : real, B2 : real, F : real > real, C : real]: ((ord_less_real @ A @ B2) => (((F @ B2) = C) => ((![X2 : real, Y2 : real]: ((ord_less_real @ X2 @ Y2) => (ord_less_real @ (F @ X2) @ (F @ Y2)))) => (ord_less_real @ (F @ A) @ C))))))). % ord_less_eq_subst
thf(fact_25_order__less__subst1, axiom,
    ((![A : real, F : real > real, B2 : real, C : real]: ((ord_less_real @ A @ (F @ B2)) => ((ord_less_real @ B2 @ C) => ((![X2 : real, Y2 : real]: ((ord_less_real @ X2 @ Y2) => (ord_less_real @ (F @ X2) @ (F @ Y2)))) => (ord_less_real @ A @ (F @ C)))))))). % order_less_subst1
thf(fact_26_order__less__subst2, axiom,
    ((![A : real, B2 : real, F : real > real, C : real]: ((ord_less_real @ A @ B2) => ((ord_less_real @ (F @ B2) @ C) => ((![X2 : real, Y2 : real]: ((ord_less_real @ X2 @ Y2) => (ord_less_real @ (F @ X2) @ (F @ Y2)))) => (ord_less_real @ (F @ A) @ C))))))). % order_less_subst2
thf(fact_27_lt__ex, axiom,
    ((![X3 : real]: (?[Y2 : real]: (ord_less_real @ Y2 @ X3))))). % lt_ex
thf(fact_28_gt__ex, axiom,
    ((![X3 : real]: (?[X_1 : real]: (ord_less_real @ X3 @ X_1))))). % gt_ex
thf(fact_29_neqE, axiom,
    ((![X3 : real, Y : real]: ((~ ((X3 = Y))) => ((~ ((ord_less_real @ X3 @ Y))) => (ord_less_real @ Y @ X3)))))). % neqE
thf(fact_30_neq__iff, axiom,
    ((![X3 : real, Y : real]: ((~ ((X3 = Y))) = (((ord_less_real @ X3 @ Y)) | ((ord_less_real @ Y @ X3))))))). % neq_iff
thf(fact_31_order_Oasym, axiom,
    ((![A : real, B2 : real]: ((ord_less_real @ A @ B2) => (~ ((ord_less_real @ B2 @ A))))))). % order.asym
thf(fact_32_dense, axiom,
    ((![X3 : real, Y : real]: ((ord_less_real @ X3 @ Y) => (?[Z : real]: ((ord_less_real @ X3 @ Z) & (ord_less_real @ Z @ Y))))))). % dense
thf(fact_33_less__imp__neq, axiom,
    ((![X3 : real, Y : real]: ((ord_less_real @ X3 @ Y) => (~ ((X3 = Y))))))). % less_imp_neq
thf(fact_34_less__asym, axiom,
    ((![X3 : real, Y : real]: ((ord_less_real @ X3 @ Y) => (~ ((ord_less_real @ Y @ X3))))))). % less_asym
thf(fact_35_less__asym_H, axiom,
    ((![A : real, B2 : real]: ((ord_less_real @ A @ B2) => (~ ((ord_less_real @ B2 @ A))))))). % less_asym'
thf(fact_36_less__trans, axiom,
    ((![X3 : real, Y : real, Z3 : real]: ((ord_less_real @ X3 @ Y) => ((ord_less_real @ Y @ Z3) => (ord_less_real @ X3 @ Z3)))))). % less_trans
thf(fact_37_less__linear, axiom,
    ((![X3 : real, Y : real]: ((ord_less_real @ X3 @ Y) | ((X3 = Y) | (ord_less_real @ Y @ X3)))))). % less_linear
thf(fact_38_less__irrefl, axiom,
    ((![X3 : real]: (~ ((ord_less_real @ X3 @ X3)))))). % less_irrefl
thf(fact_39_ord__eq__less__trans, axiom,
    ((![A : real, B2 : real, C : real]: ((A = B2) => ((ord_less_real @ B2 @ C) => (ord_less_real @ A @ C)))))). % ord_eq_less_trans
thf(fact_40_mem__Collect__eq, axiom,
    ((![A : real, P : real > $o]: ((member_real @ A @ (collect_real @ P)) = (P @ A))))). % mem_Collect_eq
thf(fact_41_Collect__mem__eq, axiom,
    ((![A2 : set_real]: ((collect_real @ (^[X4 : real]: (member_real @ X4 @ A2))) = A2)))). % Collect_mem_eq
thf(fact_42_Collect__cong, axiom,
    ((![P : real > $o, Q : real > $o]: ((![X2 : real]: ((P @ X2) = (Q @ X2))) => ((collect_real @ P) = (collect_real @ Q)))))). % Collect_cong
thf(fact_43_ord__less__eq__trans, axiom,
    ((![A : real, B2 : real, C : real]: ((ord_less_real @ A @ B2) => ((B2 = C) => (ord_less_real @ A @ C)))))). % ord_less_eq_trans
thf(fact_44_dual__order_Oasym, axiom,
    ((![B2 : real, A : real]: ((ord_less_real @ B2 @ A) => (~ ((ord_less_real @ A @ B2))))))). % dual_order.asym
thf(fact_45_less__imp__not__eq, axiom,
    ((![X3 : real, Y : real]: ((ord_less_real @ X3 @ Y) => (~ ((X3 = Y))))))). % less_imp_not_eq
thf(fact_46_less__not__sym, axiom,
    ((![X3 : real, Y : real]: ((ord_less_real @ X3 @ Y) => (~ ((ord_less_real @ Y @ X3))))))). % less_not_sym
thf(fact_47_antisym__conv3, axiom,
    ((![Y : real, X3 : real]: ((~ ((ord_less_real @ Y @ X3))) => ((~ ((ord_less_real @ X3 @ Y))) = (X3 = Y)))))). % antisym_conv3
thf(fact_48_less__imp__not__eq2, axiom,
    ((![X3 : real, Y : real]: ((ord_less_real @ X3 @ Y) => (~ ((Y = X3))))))). % less_imp_not_eq2
thf(fact_49_less__imp__triv, axiom,
    ((![X3 : real, Y : real, P : $o]: ((ord_less_real @ X3 @ Y) => ((ord_less_real @ Y @ X3) => P))))). % less_imp_triv
thf(fact_50_linorder__cases, axiom,
    ((![X3 : real, Y : real]: ((~ ((ord_less_real @ X3 @ Y))) => ((~ ((X3 = Y))) => (ord_less_real @ Y @ X3)))))). % linorder_cases
thf(fact_51_dual__order_Oirrefl, axiom,
    ((![A : real]: (~ ((ord_less_real @ A @ A)))))). % dual_order.irrefl
thf(fact_52_order_Ostrict__trans, axiom,
    ((![A : real, B2 : real, C : real]: ((ord_less_real @ A @ B2) => ((ord_less_real @ B2 @ C) => (ord_less_real @ A @ C)))))). % order.strict_trans
thf(fact_53_less__imp__not__less, axiom,
    ((![X3 : real, Y : real]: ((ord_less_real @ X3 @ Y) => (~ ((ord_less_real @ Y @ X3))))))). % less_imp_not_less
thf(fact_54_linorder__less__wlog, axiom,
    ((![P : real > real > $o, A : real, B2 : real]: ((![A3 : real, B : real]: ((ord_less_real @ A3 @ B) => (P @ A3 @ B))) => ((![A3 : real]: (P @ A3 @ A3)) => ((![A3 : real, B : real]: ((P @ B @ A3) => (P @ A3 @ B))) => (P @ A @ B2))))))). % linorder_less_wlog
thf(fact_55_less__cSup__iff, axiom,
    ((![X5 : set_real, Y : real]: ((~ ((X5 = bot_bot_set_real))) => ((condit1201756488e_real @ X5) => ((ord_less_real @ Y @ (comple2129349247p_real @ X5)) = (?[X4 : real]: (((member_real @ X4 @ X5)) & ((ord_less_real @ Y @ X4)))))))))). % less_cSup_iff
thf(fact_56_verit__comp__simplify1_I1_J, axiom,
    ((![A : real]: (~ ((ord_less_real @ A @ A)))))). % verit_comp_simplify1(1)
thf(fact_57_cSup__greaterThanLessThan, axiom,
    ((![Y : real, X3 : real]: ((ord_less_real @ Y @ X3) => ((comple2129349247p_real @ (set_or951364608n_real @ Y @ X3)) = X3))))). % cSup_greaterThanLessThan
thf(fact_58_cSup__greaterThanAtMost, axiom,
    ((![Y : real, X3 : real]: ((ord_less_real @ Y @ X3) => ((comple2129349247p_real @ (set_or1638906204t_real @ Y @ X3)) = X3))))). % cSup_greaterThanAtMost
thf(fact_59_cSup__atLeastLessThan, axiom,
    ((![Y : real, X3 : real]: ((ord_less_real @ Y @ X3) => ((comple2129349247p_real @ (set_or2075149659n_real @ Y @ X3)) = X3))))). % cSup_atLeastLessThan
thf(fact_60_bdd__above__empty, axiom,
    ((condit1201756488e_real @ bot_bot_set_real))). % bdd_above_empty
thf(fact_61_bdd__above__Ico, axiom,
    ((![A : real, B2 : real]: (condit1201756488e_real @ (set_or2075149659n_real @ A @ B2))))). % bdd_above_Ico
thf(fact_62_bdd__above__Ioo, axiom,
    ((![A : real, B2 : real]: (condit1201756488e_real @ (set_or951364608n_real @ A @ B2))))). % bdd_above_Ioo
thf(fact_63_bdd__above__Ioc, axiom,
    ((![A : real, B2 : real]: (condit1201756488e_real @ (set_or1638906204t_real @ A @ B2))))). % bdd_above_Ioc
thf(fact_64_less__cSupE, axiom,
    ((![Y : real, X5 : set_real]: ((ord_less_real @ Y @ (comple2129349247p_real @ X5)) => ((~ ((X5 = bot_bot_set_real))) => (~ ((![X2 : real]: ((member_real @ X2 @ X5) => (~ ((ord_less_real @ Y @ X2)))))))))))). % less_cSupE
thf(fact_65_less__cSupD, axiom,
    ((![X5 : set_real, Z3 : real]: ((~ ((X5 = bot_bot_set_real))) => ((ord_less_real @ Z3 @ (comple2129349247p_real @ X5)) => (?[X2 : real]: ((member_real @ X2 @ X5) & (ord_less_real @ Z3 @ X2)))))))). % less_cSupD
thf(fact_66_greaterThanAtMost__empty__iff2, axiom,
    ((![K : real, L : real]: ((bot_bot_set_real = (set_or1638906204t_real @ K @ L)) = (~ ((ord_less_real @ K @ L))))))). % greaterThanAtMost_empty_iff2
thf(fact_67_greaterThanAtMost__empty__iff, axiom,
    ((![K : real, L : real]: (((set_or1638906204t_real @ K @ L) = bot_bot_set_real) = (~ ((ord_less_real @ K @ L))))))). % greaterThanAtMost_empty_iff
thf(fact_68_greaterThanLessThan__iff, axiom,
    ((![I : real, L : real, U : real]: ((member_real @ I @ (set_or951364608n_real @ L @ U)) = (((ord_less_real @ L @ I)) & ((ord_less_real @ I @ U))))))). % greaterThanLessThan_iff
thf(fact_69_atLeastLessThan__empty__iff, axiom,
    ((![A : real, B2 : real]: (((set_or2075149659n_real @ A @ B2) = bot_bot_set_real) = (~ ((ord_less_real @ A @ B2))))))). % atLeastLessThan_empty_iff
thf(fact_70_atLeastLessThan__empty__iff2, axiom,
    ((![A : real, B2 : real]: ((bot_bot_set_real = (set_or2075149659n_real @ A @ B2)) = (~ ((ord_less_real @ A @ B2))))))). % atLeastLessThan_empty_iff2
thf(fact_71_atLeastLessThan__eq__iff, axiom,
    ((![A : real, B2 : real, C : real, D : real]: ((ord_less_real @ A @ B2) => ((ord_less_real @ C @ D) => (((set_or2075149659n_real @ A @ B2) = (set_or2075149659n_real @ C @ D)) = (((A = C)) & ((B2 = D))))))))). % atLeastLessThan_eq_iff
thf(fact_72_atLeastLessThan__inj_I1_J, axiom,
    ((![A : real, B2 : real, C : real, D : real]: (((set_or2075149659n_real @ A @ B2) = (set_or2075149659n_real @ C @ D)) => ((ord_less_real @ A @ B2) => ((ord_less_real @ C @ D) => (A = C))))))). % atLeastLessThan_inj(1)
thf(fact_73_atLeastLessThan__inj_I2_J, axiom,
    ((![A : real, B2 : real, C : real, D : real]: (((set_or2075149659n_real @ A @ B2) = (set_or2075149659n_real @ C @ D)) => ((ord_less_real @ A @ B2) => ((ord_less_real @ C @ D) => (B2 = D))))))). % atLeastLessThan_inj(2)
thf(fact_74_Collect__empty__eq, axiom,
    ((![P : real > $o]: (((collect_real @ P) = bot_bot_set_real) = (![X4 : real]: (~ ((P @ X4)))))))). % Collect_empty_eq
thf(fact_75_empty__Collect__eq, axiom,
    ((![P : real > $o]: ((bot_bot_set_real = (collect_real @ P)) = (![X4 : real]: (~ ((P @ X4)))))))). % empty_Collect_eq
thf(fact_76_bot__set__def, axiom,
    ((bot_bot_set_real = (collect_real @ bot_bot_real_o)))). % bot_set_def
thf(fact_77_top__set__def, axiom,
    ((top_top_set_real = (collect_real @ top_top_real_o)))). % top_set_def
thf(fact_78_ivl__disj__un__two__touch_I1_J, axiom,
    ((![L : real, M : real, U : real]: ((ord_less_real @ L @ M) => ((ord_less_real @ M @ U) => ((sup_sup_set_real @ (set_or1638906204t_real @ L @ M) @ (set_or2075149659n_real @ M @ U)) = (set_or951364608n_real @ L @ U))))))). % ivl_disj_un_two_touch(1)
thf(fact_79_greaterThan__iff, axiom,
    ((![I : real, K : real]: ((member_real @ I @ (set_or578938182n_real @ K)) = (ord_less_real @ K @ I))))). % greaterThan_iff
thf(fact_80_bdd__above__Un, axiom,
    ((![A2 : set_real, B3 : set_real]: ((condit1201756488e_real @ (sup_sup_set_real @ A2 @ B3)) = (((condit1201756488e_real @ A2)) & ((condit1201756488e_real @ B3))))))). % bdd_above_Un

% Conjectures (1)
thf(conj_0, conjecture,
    ((![Y2 : real]: ((?[X4 : real]: (((p @ X4)) & ((ord_less_real @ Y2 @ X4)))) = (ord_less_real @ Y2 @ (comple2129349247p_real @ (collect_real @ p))))))).
