TSTP Solution File: MGT038-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT038-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n020.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  : 300s
% DateTime : Wed Aug 31 17:51:05 EDT 2022

% Result   : Satisfiable 0.20s 0.53s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : MGT038-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 03:22:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.45  % (14561)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.45  % (14569)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.45  % (14569)Instruction limit reached!
% 0.20/0.45  % (14569)------------------------------
% 0.20/0.45  % (14569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45  % (14569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45  % (14569)Termination reason: Unknown
% 0.20/0.45  % (14569)Termination phase: Saturation
% 0.20/0.45  
% 0.20/0.45  % (14569)Memory used [KB]: 5756
% 0.20/0.45  % (14569)Time elapsed: 0.004 s
% 0.20/0.45  % (14569)Instructions burned: 2 (million)
% 0.20/0.45  % (14569)------------------------------
% 0.20/0.45  % (14569)------------------------------
% 0.20/0.45  % (14561)Instruction limit reached!
% 0.20/0.45  % (14561)------------------------------
% 0.20/0.45  % (14561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45  % (14561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45  % (14561)Termination reason: Unknown
% 0.20/0.45  % (14561)Termination phase: Saturation
% 0.20/0.45  
% 0.20/0.45  % (14561)Memory used [KB]: 5884
% 0.20/0.45  % (14561)Time elapsed: 0.057 s
% 0.20/0.45  % (14561)Instructions burned: 3 (million)
% 0.20/0.45  % (14561)------------------------------
% 0.20/0.45  % (14561)------------------------------
% 0.20/0.50  % (14566)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (14567)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.52  % (14574)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.52  % (14579)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.52  % (14580)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.52  % (14553)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52  % (14576)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (14580)Refutation not found, incomplete strategy% (14580)------------------------------
% 0.20/0.52  % (14580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (14580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (14580)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (14580)Memory used [KB]: 1407
% 0.20/0.52  % (14580)Time elapsed: 0.130 s
% 0.20/0.52  % (14580)Instructions burned: 2 (million)
% 0.20/0.52  % (14580)------------------------------
% 0.20/0.52  % (14580)------------------------------
% 0.20/0.52  % (14579)Refutation not found, incomplete strategy% (14579)------------------------------
% 0.20/0.52  % (14579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (14579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (14579)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (14579)Memory used [KB]: 5884
% 0.20/0.52  % (14579)Time elapsed: 0.131 s
% 0.20/0.52  % (14579)Instructions burned: 2 (million)
% 0.20/0.52  % (14579)------------------------------
% 0.20/0.52  % (14579)------------------------------
% 0.20/0.52  % (14558)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52  % (14558)Refutation not found, incomplete strategy% (14558)------------------------------
% 0.20/0.52  % (14558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (14558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (14558)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (14558)Memory used [KB]: 5884
% 0.20/0.52  % (14558)Time elapsed: 0.129 s
% 0.20/0.52  % (14558)Instructions burned: 2 (million)
% 0.20/0.52  % (14558)------------------------------
% 0.20/0.52  % (14558)------------------------------
% 0.20/0.52  % (14554)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52  % (14559)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (14556)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.52  % (14566)Instruction limit reached!
% 0.20/0.52  % (14566)------------------------------
% 0.20/0.52  % (14566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (14566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (14566)Termination reason: Unknown
% 0.20/0.52  % (14566)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (14566)Memory used [KB]: 5884
% 0.20/0.52  % (14566)Time elapsed: 0.110 s
% 0.20/0.52  % (14566)Instructions burned: 3 (million)
% 0.20/0.52  % (14566)------------------------------
% 0.20/0.52  % (14566)------------------------------
% 0.20/0.52  % (14581)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.52  % (14582)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (14555)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52  % (14557)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53  % (14555)Instruction limit reached!
% 0.20/0.53  % (14555)------------------------------
% 0.20/0.53  % (14555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (14555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (14555)Termination reason: Unknown
% 0.20/0.53  % (14555)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (14555)Memory used [KB]: 5884
% 0.20/0.53  % (14555)Time elapsed: 0.129 s
% 0.20/0.53  % (14555)Instructions burned: 5 (million)
% 0.20/0.53  % (14555)------------------------------
% 0.20/0.53  % (14555)------------------------------
% 0.20/0.53  % (14557)Refutation not found, incomplete strategy% (14557)------------------------------
% 0.20/0.53  % (14557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (14557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (14557)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (14557)Memory used [KB]: 5884
% 0.20/0.53  % (14557)Time elapsed: 0.127 s
% 0.20/0.53  % (14557)Instructions burned: 2 (million)
% 0.20/0.53  % (14557)------------------------------
% 0.20/0.53  % (14557)------------------------------
% 0.20/0.53  % (14575)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53  % (14570)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (14568)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (14575)Refutation not found, incomplete strategy% (14575)------------------------------
% 0.20/0.53  % (14575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (14575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (14575)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (14575)Memory used [KB]: 5884
% 0.20/0.53  % (14575)Time elapsed: 0.108 s
% 0.20/0.53  % (14575)Instructions burned: 4 (million)
% 0.20/0.53  % (14575)------------------------------
% 0.20/0.53  % (14575)------------------------------
% 0.20/0.53  TRYING [1]
% 0.20/0.53  % (14573)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (14567)Refutation not found, incomplete strategy% (14567)------------------------------
% 0.20/0.53  % (14567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (14567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (14567)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (14567)Memory used [KB]: 1407
% 0.20/0.53  % (14567)Time elapsed: 0.098 s
% 0.20/0.53  % (14567)Instructions burned: 2 (million)
% 0.20/0.53  % (14567)------------------------------
% 0.20/0.53  % (14567)------------------------------
% 0.20/0.53  Finite Model Found!
% 0.20/0.53  % SZS status Satisfiable for theBenchmark
% 0.20/0.53  % (14568)First to succeed.
% 0.20/0.53  % (14573)Refutation not found, incomplete strategy% (14573)------------------------------
% 0.20/0.53  % (14573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (14573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (14573)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (14573)Memory used [KB]: 1407
% 0.20/0.53  % (14573)Time elapsed: 0.141 s
% 0.20/0.53  % (14573)Instructions burned: 2 (million)
% 0.20/0.53  % (14573)------------------------------
% 0.20/0.53  % (14573)------------------------------
% 0.20/0.53  % (14571)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.53  % SZS output start FiniteModel for theBenchmark
% 0.20/0.53  tff(declare_$i,type,$i:$tType).
% 0.20/0.53  tff(declare_$i1,type,first_movers:$i).
% 0.20/0.53  tff(declare_$i2,type,s:$i).
% 0.20/0.53  tff(finite_domain,axiom,
% 0.20/0.53        ! [X:$i] : (
% 0.20/0.53           X = first_movers | X = s
% 0.20/0.53        ) ).
% 0.20/0.53  
% 0.20/0.53  tff(distinct_domain,axiom,
% 0.20/0.53           first_movers != s
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_bool,type,$o:$tType).
% 0.20/0.53  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.20/0.53  tff(finite_domain,axiom,
% 0.20/0.53        ! [X:$o] : (
% 0.20/0.53           X = fmb_bool_1
% 0.20/0.53        ) ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_t2,type,t2:$i).
% 0.20/0.53  tff(t2_definition,axiom,t2 = first_movers).
% 0.20/0.53  tff(declare_zero,type,zero:$i).
% 0.20/0.53  tff(zero_definition,axiom,zero = first_movers).
% 0.20/0.53  tff(declare_efficient_producers,type,efficient_producers:$i).
% 0.20/0.53  tff(efficient_producers_definition,axiom,efficient_producers = s).
% 0.20/0.53  tff(declare_e,type,e:$i).
% 0.20/0.53  tff(e_definition,axiom,e = first_movers).
% 0.20/0.53  tff(declare_sk3,type,sk3:$i).
% 0.20/0.53  tff(sk3_definition,axiom,sk3 = first_movers).
% 0.20/0.53  tff(declare_to,type,to:$i).
% 0.20/0.53  tff(to_definition,axiom,to = first_movers).
% 0.20/0.53  tff(declare_appear,type,appear: $i * $i > $i).
% 0.20/0.53  tff(function_appear,axiom,
% 0.20/0.53             appear(first_movers,first_movers) = first_movers
% 0.20/0.53           & appear(first_movers,s) = s
% 0.20/0.53           & appear(s,first_movers) = first_movers
% 0.20/0.53           & appear(s,s) = first_movers
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_sk1,type,sk1: $i * $i > $i).
% 0.20/0.53  tff(function_sk1,axiom,
% 0.20/0.53             sk1(first_movers,first_movers) = first_movers
% 0.20/0.53           & sk1(first_movers,s) = s
% 0.20/0.53           & sk1(s,first_movers) = s
% 0.20/0.53           & sk1(s,s) = s
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_cardinality_at_time,type,cardinality_at_time: $i * $i > $i).
% 0.20/0.53  tff(function_cardinality_at_time,axiom,
% 0.20/0.53             cardinality_at_time(first_movers,first_movers) = s
% 0.20/0.53           & cardinality_at_time(first_movers,s) = first_movers
% 0.20/0.53           & cardinality_at_time(s,first_movers) = first_movers
% 0.20/0.53           & cardinality_at_time(s,s) = first_movers
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_sk2,type,sk2: $i > $i).
% 0.20/0.53  tff(function_sk2,axiom,
% 0.20/0.53             sk2(first_movers) = first_movers
% 0.20/0.53           & sk2(s) = first_movers
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_finite_set,type,finite_set: $i > $o ).
% 0.20/0.53  tff(predicate_finite_set,axiom,
% 0.20/0.53             finite_set(first_movers)
% 0.20/0.53           & ~finite_set(s)
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_environment,type,environment: $i > $o ).
% 0.20/0.53  tff(predicate_environment,axiom,
% 0.20/0.53             environment(first_movers)
% 0.20/0.53           & environment(s)
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_stable,type,stable: $i > $o ).
% 0.20/0.53  tff(predicate_stable,axiom,
% 0.20/0.53             stable(first_movers)
% 0.20/0.53           & stable(s)
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_in_environment,type,in_environment: $i * $i > $o ).
% 0.20/0.53  tff(predicate_in_environment,axiom,
% 0.20/0.53             in_environment(first_movers,first_movers)
% 0.20/0.53           & in_environment(first_movers,s)
% 0.20/0.53           & in_environment(s,first_movers)
% 0.20/0.53           & in_environment(s,s)
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_contracts_from,type,contracts_from: $i * $i > $o ).
% 0.20/0.53  tff(predicate_contracts_from,axiom,
% 0.20/0.53             contracts_from(first_movers,first_movers)
% 0.20/0.53           & ~contracts_from(first_movers,s)
% 0.20/0.53           & contracts_from(s,first_movers)
% 0.20/0.53           & ~contracts_from(s,s)
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  tff(declare_greater,type,greater: $i * $i > $o ).
% 0.20/0.53  tff(predicate_greater,axiom,
% 0.20/0.53             greater(first_movers,first_movers)
% 0.20/0.53           & greater(first_movers,s)
% 0.20/0.53           & greater(s,first_movers)
% 0.20/0.53           & greater(s,s)
% 0.20/0.53  
% 0.20/0.53  ).
% 0.20/0.53  
% 0.20/0.53  % SZS output end FiniteModel for theBenchmark
% 0.20/0.53  % (14568)------------------------------
% 0.20/0.53  % (14568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (14568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (14568)Termination reason: Satisfiable
% 0.20/0.53  
% 0.20/0.53  % (14568)Memory used [KB]: 5884
% 0.20/0.53  % (14568)Time elapsed: 0.142 s
% 0.20/0.53  % (14568)Instructions burned: 3 (million)
% 0.20/0.53  % (14568)------------------------------
% 0.20/0.53  % (14568)------------------------------
% 0.20/0.53  % (14552)Success in time 0.179 s
%------------------------------------------------------------------------------