TSTP Solution File: MGT021+1 by Goeland---1.0.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Goeland---1.0.0
% Problem  : MGT021+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : goeland -dmt -presko -proof %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 18 05:15:36 EDT 2022

% Result   : Theorem 49.45s 8.61s
% Output   : Proof 49.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : MGT021+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % Command    : goeland -dmt -presko -proof %s
% 0.13/0.33  % Computer : n005.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    : 300
% 0.13/0.33  % DateTime   : Fri Sep  2 02:40:33 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  [DMT] DMT loaded with preskolemization
% 0.13/0.34  [EQ] equality loaded.
% 0.13/0.34  [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34  Start search
% 0.13/0.34  nb_step : 1 - limit : 7
% 0.13/0.34  Launch Gotab with destructive = true
% 49.45/8.61  % SZS output start Proof for theBenchmark.p
% 49.45/8.61  [0] ALPHA_AND : (! [E4_4, T5_5] :  (((environment(E4_4) & subpopulations(first_movers, efficient_producers, E4_4, T5_5)) => in_environment(E4_4, T5_5))) & ! [E6_6, T7_7] :  (((environment(E6_6) & subpopulations(first_movers, efficient_producers, E6_6, T7_7)) => greater(number_of_organizations(E6_6, T7_7), zero))) & ! [X8_8] :  ((increases(X8_8) => ~decreases(X8_8))) & ! [X9_9, Y10_10] :  ((greater_or_equal(X9_9, Y10_10) => (greater(X9_9, Y10_10) | =(X9_9, Y10_10)))) & ! [E11_11, T12_12] :  ((((environment(E11_11) & in_environment(E11_11, T12_12)) & greater(number_of_organizations(E11_11, T12_12), zero)) => ((greater(equilibrium(E11_11), T12_12) => decreases(resources(E11_11, T12_12))) & (~greater(equilibrium(E11_11), T12_12) => constant(resources(E11_11, T12_12)))))) & ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14))))))) & ~! [E15_15, T16_16] :  (((environment(E15_15) & subpopulations(first_movers, efficient_producers, E15_15, T16_16)) => ~decreases(difference(disbanding_rate(first_movers, T16_16), disbanding_rate(efficient_producers, T16_16))))))
% 49.45/8.61  	-> [1] ! [E4_4, T5_5] :  (((environment(E4_4) & subpopulations(first_movers, efficient_producers, E4_4, T5_5)) => in_environment(E4_4, T5_5))), ! [E6_6, T7_7] :  (((environment(E6_6) & subpopulations(first_movers, efficient_producers, E6_6, T7_7)) => greater(number_of_organizations(E6_6, T7_7), zero))), ! [X8_8] :  ((increases(X8_8) => ~decreases(X8_8))), ! [X9_9, Y10_10] :  ((greater_or_equal(X9_9, Y10_10) => (greater(X9_9, Y10_10) | =(X9_9, Y10_10)))), ! [E11_11, T12_12] :  ((((environment(E11_11) & in_environment(E11_11, T12_12)) & greater(number_of_organizations(E11_11, T12_12), zero)) => ((greater(equilibrium(E11_11), T12_12) => decreases(resources(E11_11, T12_12))) & (~greater(equilibrium(E11_11), T12_12) => constant(resources(E11_11, T12_12)))))), ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14))))))), ~! [E15_15, T16_16] :  (((environment(E15_15) & subpopulations(first_movers, efficient_producers, E15_15, T16_16)) => ~decreases(difference(disbanding_rate(first_movers, T16_16), disbanding_rate(efficient_producers, T16_16)))))
% 49.45/8.61  
% 49.45/8.61  [1] DELTA_NOT_FORALL : ~! [E15_15, T16_16] :  (((environment(E15_15) & subpopulations(first_movers, efficient_producers, E15_15, T16_16)) => ~decreases(difference(disbanding_rate(first_movers, T16_16), disbanding_rate(efficient_producers, T16_16)))))
% 49.45/8.61  	-> [2] ~((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  
% 49.45/8.61  [2] ALPHA_NOT_IMPLY : ~((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [3] (environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)), ~~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [3] ALPHA_AND : (environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [4] environment(skolem_E1515), subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [4] ALPHA_NOT_NOT : ~~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  	-> [5] decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [5] GAMMA_FORALL : ! [E4_4, T5_5] :  (((environment(E4_4) & subpopulations(first_movers, efficient_producers, E4_4, T5_5)) => in_environment(E4_4, T5_5)))
% 49.45/8.61  	-> [6] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => in_environment(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [6] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => in_environment(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [7] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [8] in_environment(skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [7] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [9] ~environment(skolem_E1515)
% 49.45/8.61  	-> [10] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [10] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [9] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [8] GAMMA_FORALL : ! [E6_6, T7_7] :  (((environment(E6_6) & subpopulations(first_movers, efficient_producers, E6_6, T7_7)) => greater(number_of_organizations(E6_6, T7_7), zero)))
% 49.45/8.61  	-> [11] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => greater(number_of_organizations(skolem_E1515, skolem_T1616), zero))
% 49.45/8.61  
% 49.45/8.61  [11] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => greater(number_of_organizations(skolem_E1515, skolem_T1616), zero))
% 49.45/8.61  	-> [12] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [13] greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)
% 49.45/8.61  
% 49.45/8.61  [12] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [14] ~environment(skolem_E1515)
% 49.45/8.61  	-> [15] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [15] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [14] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [16] BETA_IMPLY : (increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [894] ~increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  	-> [895] ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [895] CLOSURE : ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [896] BETA_IMPLY : (greater_or_equal(equilibrium(skolem_E1515), skolem_T1616) => (greater(equilibrium(skolem_E1515), skolem_T1616) | =(equilibrium(skolem_E1515), skolem_T1616)))
% 49.45/8.61  	-> [1539] ~greater_or_equal(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1540] (greater(equilibrium(skolem_E1515), skolem_T1616) | =(equilibrium(skolem_E1515), skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1539] GAMMA_FORALL : ! [E11_11, T12_12] :  ((((environment(E11_11) & in_environment(E11_11, T12_12)) & greater(number_of_organizations(E11_11, T12_12), zero)) => ((greater(equilibrium(E11_11), T12_12) => decreases(resources(E11_11, T12_12))) & (~greater(equilibrium(E11_11), T12_12) => constant(resources(E11_11, T12_12))))))
% 49.45/8.61  	-> [1543] (((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)) => ((greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))) & (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [1543] BETA_IMPLY : (((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)) => ((greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))) & (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))))
% 49.45/8.61  	-> [1544] ~((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero))
% 49.45/8.61  	-> [1545] ((greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))) & (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616))))
% 49.45/8.61  
% 49.45/8.61  [1544] BETA_NOT_AND : ~((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero))
% 49.45/8.61  	-> [1548] ~(environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1549] ~greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)
% 49.45/8.61  
% 49.45/8.61  [1548] BETA_NOT_AND : ~(environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1555] ~environment(skolem_E1515)
% 49.45/8.61  	-> [1556] ~in_environment(skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1556] CLOSURE : ~in_environment(skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1555] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [1549] CLOSURE : ~greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)
% 49.45/8.61  
% 49.45/8.61  [1552] BETA_IMPLY : (greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616)))
% 49.45/8.61  	-> [1686] ~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1687] decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1687] BETA_IMPLY : (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))
% 49.45/8.61  	-> [1690] ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1691] constant(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1690] ALPHA_NOT_NOT : ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1694] greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1694] GAMMA_FORALL : ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))))))
% 49.45/8.61  	-> [1697] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  
% 49.45/8.61  [1697] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  	-> [1701] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1702] ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [1701] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1708] ~environment(skolem_E1515)
% 49.45/8.61  	-> [1709] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1709] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1708] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [1702] ALPHA_AND : ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  	-> [1714] (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))), (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  
% 49.45/8.61  [1714] BETA_IMPLY : (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [1718] ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1719] increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1718] CLOSURE : ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1719] CLOSURE : increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1691] GAMMA_FORALL : ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))))))
% 49.45/8.61  	-> [1696] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  
% 49.45/8.61  [1696] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  	-> [1699] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1700] ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [1699] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1705] ~environment(skolem_E1515)
% 49.45/8.61  	-> [1706] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1705] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [1706] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1700] ALPHA_AND : ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  	-> [1707] (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))), (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  
% 49.45/8.61  [1707] BETA_IMPLY : (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [1712] ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1713] increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1713] CLOSURE : increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1712] CLOSURE : ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1686] BETA_IMPLY : (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))
% 49.45/8.61  	-> [1692] ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1693] constant(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1692] ALPHA_NOT_NOT : ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1695] greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1695] CLOSURE : greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1693] GAMMA_FORALL : ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))))))
% 49.45/8.61  	-> [1698] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  
% 49.45/8.61  [1698] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  	-> [1703] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1704] ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [1703] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1710] ~environment(skolem_E1515)
% 49.45/8.61  	-> [1711] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1710] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [1711] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1704] ALPHA_AND : ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  	-> [1715] (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))), (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  
% 49.45/8.61  [1715] BETA_IMPLY : (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [1716] ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1717] increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1717] CLOSURE : increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1716] BETA_IMPLY : (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [1729] ~constant(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1730] ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1729] CLOSURE : ~constant(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1730] CLOSURE : ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1540] BETA_OR : (greater(equilibrium(skolem_E1515), skolem_T1616) | =(equilibrium(skolem_E1515), skolem_T1616))
% 49.45/8.61  	-> [1886] greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1887] =(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1886] GAMMA_FORALL : ! [E11_11, T12_12] :  ((((environment(E11_11) & in_environment(E11_11, T12_12)) & greater(number_of_organizations(E11_11, T12_12), zero)) => ((greater(equilibrium(E11_11), T12_12) => decreases(resources(E11_11, T12_12))) & (~greater(equilibrium(E11_11), T12_12) => constant(resources(E11_11, T12_12))))))
% 49.45/8.61  	-> [1888] (((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)) => ((greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))) & (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [1888] BETA_IMPLY : (((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)) => ((greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))) & (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))))
% 49.45/8.61  	-> [1890] ~((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero))
% 49.45/8.61  	-> [1891] ((greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))) & (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616))))
% 49.45/8.61  
% 49.45/8.61  [1890] BETA_NOT_AND : ~((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero))
% 49.45/8.61  	-> [1894] ~(environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1895] ~greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)
% 49.45/8.61  
% 49.45/8.61  [1895] CLOSURE : ~greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)
% 49.45/8.61  
% 49.45/8.61  [1894] BETA_NOT_AND : ~(environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1902] ~environment(skolem_E1515)
% 49.45/8.61  	-> [1903] ~in_environment(skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1902] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [1903] CLOSURE : ~in_environment(skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1896] BETA_IMPLY : (greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616)))
% 49.45/8.61  	-> [1977] ~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1978] decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1977] CLOSURE : ~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1978] BETA_IMPLY : (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))
% 49.45/8.61  	-> [1979] ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1980] constant(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1980] GAMMA_FORALL : ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))))))
% 49.45/8.61  	-> [1982] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  
% 49.45/8.61  [1982] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  	-> [1984] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1985] ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [1984] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1988] ~environment(skolem_E1515)
% 49.45/8.61  	-> [1989] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1989] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1988] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [1985] ALPHA_AND : ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  	-> [1992] (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))), (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  
% 49.45/8.61  [1992] BETA_IMPLY : (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [1994] ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1995] increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1994] CLOSURE : ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1995] CLOSURE : increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1979] ALPHA_NOT_NOT : ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [1981] greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1981] GAMMA_FORALL : ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))))))
% 49.45/8.61  	-> [1983] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  
% 49.45/8.61  [1983] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  	-> [1986] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1987] ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [1986] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1990] ~environment(skolem_E1515)
% 49.45/8.61  	-> [1991] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1991] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [1990] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [1987] ALPHA_AND : ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  	-> [1993] (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))), (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  
% 49.45/8.61  [1993] BETA_IMPLY : (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [1996] ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [1997] increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1997] CLOSURE : increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [1996] CLOSURE : ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [1889] BETA_IMPLY : (((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)) => ((greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))) & (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))))
% 49.45/8.61  	-> [2082] ~((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero))
% 49.45/8.61  	-> [2083] ((greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))) & (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616))))
% 49.45/8.61  
% 49.45/8.61  [2082] BETA_NOT_AND : ~((environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616)) & greater(number_of_organizations(skolem_E1515, skolem_T1616), zero))
% 49.45/8.61  	-> [2084] ~(environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2085] ~greater(number_of_organizations(skolem_E1515, skolem_T1616), zero)
% 49.45/8.61  
% 49.45/8.61  [2085] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2084] BETA_NOT_AND : ~(environment(skolem_E1515) & in_environment(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2089] ~environment(skolem_E1515)
% 49.45/8.61  	-> [2090] ~in_environment(skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [2089] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2090] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2083] ALPHA_AND : ((greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))) & (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616))))
% 49.45/8.61  	-> [2086] (greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616))), (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [2086] BETA_IMPLY : (greater(equilibrium(skolem_E1515), skolem_T1616) => decreases(resources(skolem_E1515, skolem_T1616)))
% 49.45/8.61  	-> [2087] ~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [2088] decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [2088] BETA_IMPLY : (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))
% 49.45/8.61  	-> [2091] ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [2092] constant(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [2092] GAMMA_FORALL : ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))))))
% 49.45/8.61  	-> [2094] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  
% 49.45/8.61  [2094] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  	-> [2096] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2097] ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [2096] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2100] ~environment(skolem_E1515)
% 49.45/8.61  	-> [2101] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [2100] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2101] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2104] BETA_IMPLY : (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [2113] ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2114] increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [2114] CLOSURE : increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [2113] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2091] ALPHA_NOT_NOT : ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [2093] greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [2093] GAMMA_FORALL : ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))))))
% 49.45/8.61  	-> [2095] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  
% 49.45/8.61  [2095] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  	-> [2098] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2099] ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [2098] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2102] ~environment(skolem_E1515)
% 49.45/8.61  	-> [2103] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [2103] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2102] CLOSURE : ~environment(skolem_E1515)
% 49.45/8.61  
% 49.45/8.61  [2105] BETA_IMPLY : (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [2120] ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2121] increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [2121] CLOSURE : increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [2120] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2087] BETA_IMPLY : (~greater(equilibrium(skolem_E1515), skolem_T1616) => constant(resources(skolem_E1515, skolem_T1616)))
% 49.45/8.61  	-> [2110] ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [2111] constant(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  
% 49.45/8.61  [2110] ALPHA_NOT_NOT : ~~greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  	-> [2112] greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [2112] CLOSURE : greater(equilibrium(skolem_E1515), skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [2111] GAMMA_FORALL : ! [E13_13, T14_14] :  (((environment(E13_13) & subpopulations(first_movers, efficient_producers, E13_13, T14_14)) => ((decreases(resources(E13_13, T14_14)) => increases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))) & (constant(resources(E13_13, T14_14)) => ~decreases(difference(disbanding_rate(first_movers, T14_14), disbanding_rate(efficient_producers, T14_14)))))))
% 49.45/8.61  	-> [2115] ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  
% 49.45/8.61  [2115] BETA_IMPLY : ((environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)) => ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))))
% 49.45/8.61  	-> [2116] ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2117] ((decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))) & (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))))
% 49.45/8.61  
% 49.45/8.61  [2116] BETA_NOT_AND : ~(environment(skolem_E1515) & subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2118] ~environment(skolem_E1515)
% 49.45/8.61  	-> [2119] ~subpopulations(first_movers, efficient_producers, skolem_E1515, skolem_T1616)
% 49.45/8.61  
% 49.45/8.61  [2118] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2119] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  [2122] BETA_IMPLY : (decreases(resources(skolem_E1515, skolem_T1616)) => increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [2127] ~decreases(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2128] increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [2128] CLOSURE : increases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [2127] BETA_IMPLY : (constant(resources(skolem_E1515, skolem_T1616)) => ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616))))
% 49.45/8.61  	-> [2129] ~constant(resources(skolem_E1515, skolem_T1616))
% 49.45/8.61  	-> [2130] ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [2130] CLOSURE : ~decreases(difference(disbanding_rate(first_movers, skolem_T1616), disbanding_rate(efficient_producers, skolem_T1616)))
% 49.45/8.61  
% 49.45/8.61  [2129] CLOSURE : =
% 49.45/8.61  
% 49.45/8.61  % SZS output end Proof for theBenchmark.p
% 49.45/8.61  [8.267390s][1][Res] 62283 goroutines created
% 49.45/8.61  ==== Result ====
% 49.45/8.61  [8.267406s][1][Res] VALID
% 49.45/8.61  % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------