TSTP Solution File: NUM738+4 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM738+4 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 14:21:34 EDT 2022
% Result : Unknown 0.36s 0.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM738+4 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 20:17:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/0.61 ----- Otter 3.2, August 2001 -----
% 0.36/0.61 The process was started by sandbox2 on n015.cluster.edu,
% 0.36/0.61 Thu Jul 7 20:17:05 2022
% 0.36/0.61 The command was "./sos". The process ID is 15207.
% 0.36/0.61
% 0.36/0.61 set(prolog_style_variables).
% 0.36/0.61 set(auto).
% 0.36/0.61 dependent: set(auto1).
% 0.36/0.61 dependent: set(process_input).
% 0.36/0.61 dependent: clear(print_kept).
% 0.36/0.61 dependent: clear(print_new_demod).
% 0.36/0.61 dependent: clear(print_back_demod).
% 0.36/0.61 dependent: clear(print_back_sub).
% 0.36/0.61 dependent: set(control_memory).
% 0.36/0.61 dependent: assign(max_mem, 12000).
% 0.36/0.61 dependent: assign(pick_given_ratio, 4).
% 0.36/0.61 dependent: assign(stats_level, 1).
% 0.36/0.61 dependent: assign(pick_semantic_ratio, 3).
% 0.36/0.61 dependent: assign(sos_limit, 5000).
% 0.36/0.61 dependent: assign(max_weight, 60).
% 0.36/0.61 clear(print_given).
% 0.36/0.61
% 0.36/0.61 formula_list(usable).
% 0.36/0.61
% 0.36/0.61 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.36/0.61
% 0.36/0.61 This ia a non-Horn set with equality. The strategy will be
% 0.36/0.61 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.36/0.61 unit deletion, with positive clauses in sos and nonpositive
% 0.36/0.61 clauses in usable.
% 0.36/0.61
% 0.36/0.61 dependent: set(knuth_bendix).
% 0.36/0.61 dependent: set(para_from).
% 0.36/0.61 dependent: set(para_into).
% 0.36/0.61 dependent: clear(para_from_right).
% 0.36/0.61 dependent: clear(para_into_right).
% 0.36/0.61 dependent: set(para_from_vars).
% 0.36/0.61 dependent: set(eq_units_both_ways).
% 0.36/0.61 dependent: set(dynamic_demod_all).
% 0.36/0.61 dependent: set(dynamic_demod).
% 0.36/0.61 dependent: set(order_eq).
% 0.36/0.61 dependent: set(back_demod).
% 0.36/0.61 dependent: set(lrpo).
% 0.36/0.61 dependent: set(hyper_res).
% 0.36/0.61 dependent: set(unit_deletion).
% 0.36/0.61 dependent: set(factor).
% 0.36/0.61
% 0.36/0.61 ------------> process usable:
% 0.36/0.61 Following clause subsumed by 176 during input processing: 0 [] {-} -gg_TPTP_ind(A)| -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,A),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,B),C)))|aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc372169132d_pair,aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,A)),aa_TPTP_ind_TPTP_ind(scratc1762904386_proj1,A))=A.
% 0.36/0.61 Following clause subsumed by 175 during input processing: 0 [] {-} -gg_TPTP_ind(A)| -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,A),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,B),C)))|pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,A)),B)).
% 0.36/0.61 Following clause subsumed by 174 during input processing: 0 [] {-} -gg_TPTP_ind(A)| -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,A),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,B),C)))|pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,aa_TPTP_ind_TPTP_ind(scratc1762904386_proj1,A)),aa_TPTP_ind_TPTP_ind(C,aa_TPTP_ind_TPTP_ind(scratc1762904385_proj0,A)))).
% 0.36/0.61 Following clause subsumed by 200 during input processing: 0 [] {-} -gg_TPTP_ind(A)| -gg_TPTP_ind(B)|pp(C)|aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(C,A),B)=B.
% 0.36/0.61 Following clause subsumed by 199 during input processing: 0 [] {-} -gg_TPTP_ind(A)| -gg_TPTP_ind(B)|aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(C,A),B)=A| -pp(C).
% 0.36/0.61 Following clause subsumed by 198 during input processing: 0 [] {-} -gg_TPTP_ind(A)| -gg_TPTP_ind(B)|aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(C,A),B)=A|aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(C,A),B)=B.
% 0.36/0.61 Following clause subsumed by 197 during input processing: 0 [] {-} -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,A),aa_TPTP_ind_TPTP_ind(scratc1634390547_power,B)))|pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc804022307d_Subq,A),B)).
% 0.36/0.61 Following clause subsumed by 196 during input processing: 0 [] {-} pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,A),aa_TPTP_ind_TPTP_ind(scratc1634390547_power,B)))| -pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc804022307d_Subq,A),B)).
% 0.36/0.61 1096 back subsumes 1093.
% 0.36/0.61 1096 back subsumes 1090.
% 0.36/0.61
% 0.36/0.61 ------------> process sos:
% 0.36/0.61 Following clause subsumed by 1747 during input processing: 0 [copy,1747,flip.1] {-} A=A.
% 0.36/0.61 1747 back subsumes 1119.
% 0.36/0.61 1747 back subsumes 1118.
% 0.36/0.61 1747 back subsumes 1098.
% 0.36/0.61 1747 back subsumes 1097.
% 0.36/0.61 1747 back subsumes 1094.
% 0.36/0.61 1747 back subsumes 1092.
% 0.36/0.61 1747 back subsumes 1084.
% 0.36/0.61 1747 back subsumes 1079.
% 0.36/0.61 1747 back subsumes 1076.
% 0.36/0.61 1747 back subsumes 1075.
% 0.36/0.61 1747 back subsumes 1074.
% 0.36/0.61 Following clause subsumed by 1168 during input processing: 0 [copy,1750,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc1245492298_right(A,B,C),D)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,aa_TPTP_ind_TPTP_ind(scratc205880442_d_1to,C)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ae(B),C),D)).
% 0.36/0.61 Following clause subsumed by 1169 during input processing: 0 [copy,1751,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc1577636857d_left(A,B,C),D)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,aa_TPTP_ind_TPTP_ind(scratc205880442_d_1to,C)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(B),C),D)).
% 0.36/0.61 Following clause subsumed by 1180 during input processing: 0 [copy,1754,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc449184107air_q0(A),B)=aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1328779653_pair1(A),aa_TPTP_ind_TPTP_ind(scratc1952150067first1(A),B)),aa_TPTP_ind_TPTP_ind(scratc1685753291econd1(A),B)).
% 0.36/0.61 Following clause subsumed by 1181 during input processing: 0 [copy,1755,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc1685753291econd1(A),B)=aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,B),scratc1696630654d_n_2t).
% 0.36/0.61 Following clause subsumed by 1182 during input processing: 0 [copy,1756,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc1952150067first1(A),B)=aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,B),scratc1696565055d_n_1t).
% 0.36/0.61 Following clause subsumed by 1183 during input processing: 0 [copy,1757,flip.1] {-} aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1328779653_pair1(A),B),C)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,aa_TPTP_ind_TPTP_ind(scratc205880442_d_1to,scratc941299318nd_n_2)),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ag(A),B),C)).
% 0.36/0.61 Following clause subsumed by 1212 during input processing: 0 [copy,1768,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc1700500989d_n_mn(A),B)=scratc2013253357nd_ind(scratc2053708111nd_nat,aa_TPT43085870d_bool(scratc1442614202ffprop(A),B)).
% 0.36/0.61 Following clause subsumed by 1262 during input processing: 0 [copy,1974,flip.1] {-} scratc1351638327d_11_i(A,B,C)=scratc1309819321_indeq(A,B,aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1040373963d_d_Pi,A),aTP_Lamm_ah(C))).
% 0.36/0.61 Following clause subsumed by 1274 during input processing: 0 [copy,1977,flip.1] {-} scratc1979485764nd_ect(A,B)=aa_fun1431113780TP_ind(scratc485787628_d_Sep(aa_TPTP_ind_TPTP_ind(scratc1634390547_power,A)),scratc1655400189d_anec(A,B)).
% 0.36/0.61 Following clause subsumed by 1275 during input processing: 0 [copy,1978,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc1058725565_ecelt(A,B),C)=aa_fun1431113780TP_ind(scratc485787628_d_Sep(A),aa_TPT43085870d_bool(B,C)).
% 0.36/0.61 Following clause subsumed by 1276 during input processing: 0 [copy,1979,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc704032224unmore(A,B),C)=aa_fun1431113780TP_ind(scratc485787628_d_Sep(A),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ba(A),B),C)).
% 0.36/0.61 Following clause subsumed by 1280 during input processing: 0 [copy,1996,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc176148132hangef(A,B,C,D),E)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,A),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_be(A),C),D),E)).
% 0.36/0.61 Following clause subsumed by 1281 during input processing: 0 [copy,1997,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc465941675wissel(A,B),C)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,A),scratc1002143510sel_wb(A,B,C)).
% 0.36/0.61 Following clause subsumed by 1300 during input processing: 0 [copy,2010,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc207204341_inj_h(A,B,C,D),E)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,A),aa_TPT1424761345TP_ind(aTP_Lamm_bf(D),E)).
% 0.36/0.61 Following clause subsumed by 1301 during input processing: 0 [copy,2011,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc1458762023d_invf(A,B),C)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,B),scratc681911356d_soft(A,B,C)).
% 0.36/0.62 Following clause subsumed by 1302 during input processing: 0 [copy,2012,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc162189182nverse(A,B),C)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,B),aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bg(A),B),C)).
% 0.36/0.62 Following clause subsumed by 1326 during input processing: 0 [copy,2071,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc397864583etprod(A),B)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc124855443_Sigma,A),aTP_Lamm_ah(B)).
% 0.36/0.62 Following clause subsumed by 1361 during input processing: 0 [copy,2074,flip.1] {-} scratc1626234397eplSep(A,B)=aa_TPT494704832TP_ind(scratc1966848737d_repl,aa_fun1431113780TP_ind(scratc485787628_d_Sep(A),B)).
% 0.36/0.62 Following clause subsumed by 1362 during input processing: 0 [copy,2075,flip.1] {-} aa_fun1431113780TP_ind(scratc485787628_d_Sep(A),B)=aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(fEx_TPTP_ind(cOMBS_2003118649l_bool(cOMBB_658106424TP_ind(fconj,aa_TPT43085870d_bool(cOMBC_1555011498d_bool(scratc1157037879bnd_in),A)),B)),aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,A),aa_fun1235454963TP_ind(aTP_Lamm_bw(A),B))),scratc160717255ptyset).
% 0.36/0.62 Following clause subsumed by 1371 during input processing: 0 [copy,2078,flip.1] {-} aa_TPTP_ind_TPTP_ind(scratc19341821_UPair(A),B)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,aa_TPTP_ind_TPTP_ind(scratc1634390547_power,aa_TPTP_ind_TPTP_ind(scratc1634390547_power,scratc160717255ptyset))),aa_TPT1424761345TP_ind(aTP_Lamm_bx(A),B)).
% 0.36/0.62 Following clause subsumed by 1590 during input processing: 0 [copy,2079,flip.1] {-} aa_TPTP_ind_TPTP_ind(aTP_Lamm_ak(A),B)=aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,aa_TPTP_ind_TPTP_ind(scratc463832876d_plus,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,A),B))),B).
% 0.36/0.62 Following clause subsumed by 1591 during input processing: 0 [copy,2080,flip.1] {-} aa_TPTP_ind_TPTP_ind(aTP_Lamm_bq(A),B)=aa_fun277296641TP_ind(aa_TPT494704832TP_ind(scratc1966848737d_repl,aa_TPTP_ind_TPTP_ind(A,B)),aa_TPT1424761345TP_ind(scratc372169132d_pair,B)).
% 0.36/0.62 Following clause subsumed by 1603 during input processing: 0 [copy,2081,flip.1] {-} aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aTP_Lamm_bx(A),B),C)=aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157037879bnd_in,scratc160717255ptyset),C),A),B).
% 0.36/0.62 Following clause subsumed by 1605 during input processing: 0 [copy,2082,flip.1] {-} aa_TPTP_ind_TPTP_ind(aa_fun1235454963TP_ind(aTP_Lamm_bw(A),B),C)=aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(aa_TPTP_ind_bool(B,C),C),scratc2013253357nd_ind(A,B)).
% 0.36/0.62 Following clause subsumed by 1672 during input processing: 0 [copy,2083,flip.1] {-} aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ag(A),B),C),D)=aa_TPTP_ind_TPTP_ind(scratc2013646952nd_ite(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,D),scratc1696565055d_n_1t),A,B),C).
% 0.36/0.62 Following clause subsumed by 1673 during input processing: 0 [copy,2084,flip.1] {-} aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_bg(A),B),C),D)=aa_TPTP_ind_TPTP_ind(scratc1157037871bnd_if(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc504578793_image(A,B),C),D),aa_TPTP_ind_TPTP_ind(scratc681911356d_soft(A,B,C),D)),scratc160717255ptyset).
% 0.36/0.62 Following clause subsumed by 1734 during input processing: 0 [copy,2085,flip.1] {-} aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_ae(A),B),C),D)=aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,C),aa_TPTP_ind_TPTP_ind(scratc2031597538ght1to(A,B),D)).
% 0.36/0.62 Following clause subsumed by 2091 during input processing: 0 [copy,2086,flip.1] {-} aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(A),B),C),D)=aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,C),aa_TPTP_ind_TPTP_ind(scratc2063281596nd_out(scratc2053708111nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,A)),aa_TPTP_ind_TPTP_ind(scratc34094584d_e_in(scratc2053708111nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,B)),D))).
% 0.36/0.62 Following clause subsumed by 1737 during input processing: 0 [copy,2087,flip.1] {-} aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aa_TPT1781712639TP_ind(aTP_Lamm_be(A),B),C),D),E)=aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,B),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,aa_TPTP_ind_TPTP_ind(scratc465941675wissel(A,C),D)),E)).
% 0.36/0.62 Following clause subsumed by 1744 during input processing: 0 [copy,2088,flip.1] {-} aa_TPTP_ind_bool(cOMBS_2003118649l_bool(A,B),C)=aa_bool_bool(aa_TPT2142672771l_bool(A,C),aa_TPTP_ind_bool(B,C)).
% 0.36/0.62 Following clause subsumed by 1745 during input processing: 0 [copy,2089,flip.1] {-} aa_TPTP_ind_bool(aa_TPT43085870d_bool(cOMBC_1555011498d_bool(A),B),C)=aa_TPTP_ind_bool(aa_TPT43085870d_bool(A,C),B).
% 0.36/0.62 Following clause subsumed by 1746 during input processing: 0 [copy,2090,flip.1] {-} aa_TPT2142672771l_bool(cOMBB_658106424TP_ind(A,B),C)=aa_boo1142376798l_bool(A,aa_TPTP_ind_bool(B,C)).
% 0.36/0.62 Following clause subsumed by 2086 during input processing: 0 [copy,2091,flip.1] {-} aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1156513089bnd_ap,A),aa_TPTP_ind_TPTP_ind(scratc2063281596nd_out(scratc2053708111nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,B)),aa_TPTP_ind_TPTP_ind(scratc34094584d_e_in(scratc2053708111nd_nat,aa_TPT43085870d_bool(aTP_Lamm_ai,C)),D)))=aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(aa_TPT1791839040TP_ind(aTP_Lamm_af(B),C),A),D).
% 0.36/0.62
% 0.36/0.62 ======= end of input processing =======
% 0.36/0.63
% 0.36/0.63 SEGMENTATION FAULT!! This is probably caused by a
% 0.36/0.63 bug in Otter. Please send copy of the input file to
% 0.36/0.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.36/0.63 using, and send any other info that might be useful.
% 0.36/0.63
% 0.36/0.63
% 0.36/0.63 SEGMENTATION FAULT!! This is probably caused by a
% 0.36/0.63 bug in Otter. Please send copy of the input file to
% 0.36/0.63 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.36/0.63 using, and send any other info that might be useful.
% 0.36/0.63
% 0.36/0.63
% 0.36/0.63 The job finished Thu Jul 7 20:17:05 2022
%------------------------------------------------------------------------------