TSTP Solution File: SYO529^1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYO529^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n006.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 : Thu Jul 21 17:35:23 EDT 2022

% Result   : Timeout 300.07s 300.22s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYO529^1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jul  9 11:24:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  
% 0.13/0.34   No.of.Axioms: 15
% 0.13/0.34  
% 0.13/0.34   Length.of.Defs: 0
% 0.13/0.34  
% 0.13/0.34   Contains.Choice.Funs: true
% 0.13/0.34  (rf:0,axioms:15,ps:3,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:17,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.19/0.42  
% 0.19/0.42   *** Modified list of choice operators: eps1 ***
% 0.19/0.42  
% 0.19/0.42   *** Modified list of choice operators: eps2, eps1 ***
% 0.19/0.43  
% 0.19/0.43   *** Modified list of choice operators: eps3, eps2, eps1 ***
% 0.19/0.43  
% 0.19/0.43   *** Modified list of choice operators: eps4, eps3, eps2, eps1 ***
% 0.19/0.43  
% 0.19/0.43   *** Modified list of choice operators: eps5, eps4, eps3, eps2, eps1 ***
% 0.19/0.43  .........................................................................................................................................................
% 17.35/17.51  
% 17.35/17.51   Prim_subst applied to clause 
% 17.35/17.51   
% 17.35/17.51  4091:[ 0:<SV511@$true = $false>-w(1)-i() 1:<SV511@(eps1@SV511) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 217)-o(AXIOM)-fv([ SV511 ])
% 17.40/17.60  
% 17.40/17.60   Prim_subst applied to clause 
% 17.40/17.60   
% 17.40/17.60  4091:[ 0:<SV511@$true = $false>-w(1)-i() 1:<SV511@(eps1@SV511) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 217)-o(AXIOM)-fv([ SV511 ])
% 17.53/17.69  ..
% 19.94/20.10  
% 19.94/20.10   Prim_subst applied to clause 
% 19.94/20.10   
% 19.94/20.10  4142:[ 0:<SV618@$false = $false>-w(1)-i() 1:<SV618@(eps1@SV618) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 218)-o(AXIOM)-fv([ SV618 ])
% 19.99/20.20  
% 19.99/20.20   Prim_subst applied to clause 
% 19.99/20.20   
% 19.99/20.20  4142:[ 0:<SV618@$false = $false>-w(1)-i() 1:<SV618@(eps1@SV618) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 218)-o(AXIOM)-fv([ SV618 ])
% 20.40/20.56  .
% 23.10/23.28  
% 23.10/23.28   Prim_subst applied to clause 
% 23.10/23.28   
% 23.10/23.28  4193:[ 0:<SV725 = $false>-w(1)-i() 1:<eps1@(^[SX0:$o]: SX0) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 225)-o(AXIOM)-fv([ SV725 ])
% 26.34/26.51  .
% 26.37/26.54  
% 26.37/26.54   Prim_subst applied to clause 
% 26.37/26.54   
% 26.37/26.54  4238:[ 0:<SV745@$true = $false>-w(1)-i() 1:<SV745@(eps2@SV745) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 232)-o(AXIOM)-fv([ SV745 ])
% 26.50/26.67  
% 26.50/26.67   Prim_subst applied to clause 
% 26.50/26.67   
% 26.50/26.67  4238:[ 0:<SV745@$true = $false>-w(1)-i() 1:<SV745@(eps2@SV745) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 232)-o(AXIOM)-fv([ SV745 ])
% 26.79/26.97  .
% 30.60/30.77  
% 30.60/30.77   Prim_subst applied to clause 
% 30.60/30.77   
% 30.60/30.77  4296:[ 0:<SV855@$false = $false>-w(1)-i() 1:<SV855@(eps2@SV855) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 233)-o(AXIOM)-fv([ SV855 ])
% 30.70/30.91  .
% 30.70/30.91  
% 30.70/30.91   Prim_subst applied to clause 
% 30.70/30.91   
% 30.70/30.91  4296:[ 0:<SV855@$false = $false>-w(1)-i() 1:<SV855@(eps2@SV855) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 233)-o(AXIOM)-fv([ SV855 ])
% 35.42/35.65  .
% 35.74/35.95  
% 35.74/35.95   Prim_subst applied to clause 
% 35.74/35.95   
% 35.74/35.95  4354:[ 0:<SV965 = $false>-w(1)-i() 1:<eps2@(^[SX0:$o]: SX0) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 240)-o(AXIOM)-fv([ SV965 ])
% 40.83/41.03  .
% 41.13/41.29  
% 41.13/41.29   Prim_subst applied to clause 
% 41.13/41.29   
% 41.13/41.29  4409:[ 0:<SV985@$true = $false>-w(1)-i() 1:<SV985@(eps3@SV985) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 247)-o(AXIOM)-fv([ SV985 ])
% 41.30/41.46  
% 41.30/41.46   Prim_subst applied to clause 
% 41.30/41.46   
% 41.30/41.46  4409:[ 0:<SV985@$true = $false>-w(1)-i() 1:<SV985@(eps3@SV985) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 247)-o(AXIOM)-fv([ SV985 ])
% 41.44/41.64  ..
% 47.61/47.80  
% 47.61/47.80   Prim_subst applied to clause 
% 47.61/47.80   
% 47.61/47.80  4474:[ 0:<SV1098@$false = $false>-w(1)-i() 1:<SV1098@(eps3@SV1098) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 248)-o(AXIOM)-fv([ SV1098 ])
% 47.81/47.98  
% 47.81/47.98   Prim_subst applied to clause 
% 47.81/47.98   
% 47.81/47.98  4474:[ 0:<SV1098@$false = $false>-w(1)-i() 1:<SV1098@(eps3@SV1098) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 248)-o(AXIOM)-fv([ SV1098 ])
% 48.17/48.37  ..
% 55.38/55.61  
% 55.38/55.61   Prim_subst applied to clause 
% 55.38/55.61   
% 55.38/55.61  4539:[ 0:<SV1211 = $false>-w(1)-i() 1:<eps3@(^[SX0:$o]: SX0) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 255)-o(AXIOM)-fv([ SV1211 ])
% 75.21/75.43  eprover: CPU time limit exceeded, terminating
% 75.65/75.84  .
% 75.89/76.12  
% 75.89/76.12   Prim_subst applied to clause 
% 75.89/76.12   
% 75.89/76.12  4604:[ 0:<SV1231@$true = $false>-w(1)-i() 1:<SV1231@(eps4@SV1231) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 262)-o(AXIOM)-fv([ SV1231 ])
% 76.17/76.34  
% 76.17/76.34   Prim_subst applied to clause 
% 76.17/76.34   
% 76.17/76.34  4604:[ 0:<SV1231@$true = $false>-w(1)-i() 1:<SV1231@(eps4@SV1231) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 262)-o(AXIOM)-fv([ SV1231 ])
% 76.32/76.57  .
% 76.41/76.57  (rf:0,axioms:15,ps:0,u:1,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:17,loop_count:0,foatp_calls:0,translation:fof_full)......
% 76.43/76.63  
% 76.43/76.63   *** Modified list of choice operators: eps1 ***
% 76.43/76.63  
% 76.43/76.63   *** Modified list of choice operators: eps2, eps1 ***
% 76.43/76.63  
% 76.43/76.63   *** Modified list of choice operators: eps3, eps2, eps1 ***
% 76.43/76.63  
% 76.43/76.63   *** Modified list of choice operators: eps4, eps3, eps2, eps1 ***
% 76.43/76.63  
% 76.43/76.63   *** Modified list of choice operators: eps5, eps4, eps3, eps2, eps1 ***
% 76.43/76.63  .......................................................
% 80.71/80.86  
% 80.71/80.86   Prim_subst applied to clause 
% 80.71/80.86   
% 80.71/80.86  3657:[ 0:<SV511@$true = $false>-w(1)-i() 1:<SV511@(eps1@SV511) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 233)-o(AXIOM)-fv([ SV511 ])
% 80.71/80.86  
% 80.71/80.86   Prim_subst applied to clause 
% 80.71/80.86   
% 80.71/80.86  3657:[ 0:<SV511@$true = $false>-w(1)-i() 1:<SV511@(eps1@SV511) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 233)-o(AXIOM)-fv([ SV511 ])
% 80.71/80.86  .
% 81.30/81.46  
% 81.30/81.46   Prim_subst applied to clause 
% 81.30/81.46   
% 81.30/81.46  3682:[ 0:<SV618@$false = $false>-w(1)-i() 1:<SV618@(eps1@SV618) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 234)-o(AXIOM)-fv([ SV618 ])
% 81.30/81.46  .
% 81.32/81.46  
% 81.32/81.46   Prim_subst applied to clause 
% 81.32/81.46   
% 81.32/81.46  3682:[ 0:<SV618@$false = $false>-w(1)-i() 1:<SV618@(eps1@SV618) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 234)-o(AXIOM)-fv([ SV618 ])
% 82.07/82.22  .
% 82.07/82.22  
% 82.07/82.22   Prim_subst applied to clause 
% 82.07/82.22   
% 82.07/82.22  3709:[ 0:<SV725 = $false>-w(1)-i() 1:<eps1@(^[SX0:$o]: SX0) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 241)-o(AXIOM)-fv([ SV725 ])
% 82.79/82.99  
% 82.79/82.99   Prim_subst applied to clause 
% 82.79/82.99   
% 82.79/82.99  3744:[ 0:<SV745@$true = $false>-w(1)-i() 1:<SV745@(eps2@SV745) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 248)-o(AXIOM)-fv([ SV745 ])
% 82.79/82.99  .
% 82.79/82.99  
% 82.79/82.99   Prim_subst applied to clause 
% 82.79/82.99   
% 82.79/82.99  3744:[ 0:<SV745@$true = $false>-w(1)-i() 1:<SV745@(eps2@SV745) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 248)-o(AXIOM)-fv([ SV745 ])
% 83.87/84.02  .
% 83.87/84.02  
% 83.87/84.02   Prim_subst applied to clause 
% 83.87/84.02   
% 83.87/84.02  3776:[ 0:<SV855@$false = $false>-w(1)-i() 1:<SV855@(eps2@SV855) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 249)-o(AXIOM)-fv([ SV855 ])
% 83.87/84.02  
% 83.87/84.02   Prim_subst applied to clause 
% 83.87/84.02   
% 83.87/84.02  3776:[ 0:<SV855@$false = $false>-w(1)-i() 1:<SV855@(eps2@SV855) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 249)-o(AXIOM)-fv([ SV855 ])
% 84.07/84.23  .
% 85.23/85.38  
% 85.23/85.38   Prim_subst applied to clause 
% 85.23/85.38   
% 85.23/85.38  3810:[ 0:<SV965 = $false>-w(1)-i() 1:<eps2@(^[SX0:$o]: SX0) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 256)-o(AXIOM)-fv([ SV965 ])
% 85.37/85.52  .
% 86.63/86.80  
% 86.63/86.80   Prim_subst applied to clause 
% 86.63/86.80   
% 86.63/86.80  3855:[ 0:<SV985@$true = $false>-w(1)-i() 1:<SV985@(eps3@SV985) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 263)-o(AXIOM)-fv([ SV985 ])
% 86.63/86.80  
% 86.63/86.80   Prim_subst applied to clause 
% 86.63/86.80   
% 86.63/86.80  3855:[ 0:<SV985@$true = $false>-w(1)-i() 1:<SV985@(eps3@SV985) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 263)-o(AXIOM)-fv([ SV985 ])
% 86.63/86.80  ..
% 88.38/88.54  
% 88.38/88.54   Prim_subst applied to clause 
% 88.38/88.54   
% 88.38/88.54  3894:[ 0:<SV1098@$false = $false>-w(1)-i() 1:<SV1098@(eps3@SV1098) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 264)-o(AXIOM)-fv([ SV1098 ])
% 88.38/88.54  
% 88.38/88.54   Prim_subst applied to clause 
% 88.38/88.54   
% 88.38/88.54  3894:[ 0:<SV1098@$false = $false>-w(1)-i() 1:<SV1098@(eps3@SV1098) = $true>-w(1)-i() ]-mln(2)-w(2)-i(rename 264)-o(AXIOM)-fv([ SV1098 ])
% 88.61/88.76  .....................................................................................................................................................................................................................................................................................................................................................................
% 150.68/150.86  (rf:0,axioms:15,ps:3,u:8,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:17,loop_count:0,foatp_calls:0,translation:fof_full)......
% 150.74/150.92  
% 150.74/150.92   *** Modified list of choice operators: eps1 ***
% 150.74/150.92  
% 150.74/150.92   *** Modified list of choice operators: eps2, eps1 ***
% 150.74/150.92  
% 150.74/150.92   *** Modified list of choice operators: eps3, eps2, eps1 ***
% 150.74/150.92  
% 150.74/150.92   *** Modified list of choice operators: eps4, eps3, eps2, eps1 ***
% 150.74/150.92  
% 150.74/150.92   *** Modified list of choice operators: eps5, eps4, eps3, eps2, eps1 ***
% 150.74/150.92  ..................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
%------------------------------------------------------------------------------