TSTP Solution File: MGT028+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n008.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 05:15:39 EDT 2022
% Result : Theorem 1.21s 0.74s
% Output : Proof 1.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 02:46:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 [DMT] DMT loaded with preskolemization
% 0.13/0.35 [EQ] equality loaded.
% 0.13/0.35 [0.000049s][1][MAIN] Problem : theBenchmark.p
% 0.20/0.36 Start search
% 0.20/0.36 nb_step : 1 - limit : 11
% 0.20/0.36 Launch Gotab with destructive = true
% 1.21/0.73 % SZS output start Proof for theBenchmark.p
% 1.21/0.73 [0] ALPHA_AND : (! [E5_5] : ((((environment(E5_5) & stable(E5_5)) & ? [T16_6] : ((in_environment(E5_5, T16_6) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, E5_5, T7_7) & greater_or_equal(T7_7, T16_6)) => greater(zero, growth_rate(first_movers, T7_7))))))) => ? [T28_8] : ((greater(T28_8, appear(efficient_producers, E5_5)) & ! [T9_9] : (((subpopulations(first_movers, efficient_producers, E5_5, T9_9) & greater_or_equal(T9_9, T28_8)) => greater(zero, growth_rate(first_movers, T9_9)))))))) & ! [E10_10] : (((environment(E10_10) & stable(E10_10)) => ? [To11_11] : ((in_environment(E10_10, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, E10_10, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12))))))))) & ~! [E13_13] : (((environment(E13_13) & stable(E13_13)) => ? [To14_14] : ((greater(To14_14, appear(efficient_producers, E13_13)) & ! [T15_15] : (((subpopulations(first_movers, efficient_producers, E13_13, T15_15) & greater_or_equal(T15_15, To14_14)) => greater(zero, growth_rate(first_movers, T15_15)))))))))
% 1.21/0.73 -> [1] ! [E5_5] : ((((environment(E5_5) & stable(E5_5)) & ? [T16_6] : ((in_environment(E5_5, T16_6) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, E5_5, T7_7) & greater_or_equal(T7_7, T16_6)) => greater(zero, growth_rate(first_movers, T7_7))))))) => ? [T28_8] : ((greater(T28_8, appear(efficient_producers, E5_5)) & ! [T9_9] : (((subpopulations(first_movers, efficient_producers, E5_5, T9_9) & greater_or_equal(T9_9, T28_8)) => greater(zero, growth_rate(first_movers, T9_9)))))))), ! [E10_10] : (((environment(E10_10) & stable(E10_10)) => ? [To11_11] : ((in_environment(E10_10, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, E10_10, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12))))))))), ~! [E13_13] : (((environment(E13_13) & stable(E13_13)) => ? [To14_14] : ((greater(To14_14, appear(efficient_producers, E13_13)) & ! [T15_15] : (((subpopulations(first_movers, efficient_producers, E13_13, T15_15) & greater_or_equal(T15_15, To14_14)) => greater(zero, growth_rate(first_movers, T15_15))))))))
% 1.21/0.73
% 1.21/0.73 [1] DELTA_NOT_FORALL : ~! [E13_13] : (((environment(E13_13) & stable(E13_13)) => ? [To14_14] : ((greater(To14_14, appear(efficient_producers, E13_13)) & ! [T15_15] : (((subpopulations(first_movers, efficient_producers, E13_13, T15_15) & greater_or_equal(T15_15, To14_14)) => greater(zero, growth_rate(first_movers, T15_15))))))))
% 1.21/0.73 -> [2] ~((environment(skolem_E1313) & stable(skolem_E1313)) => ? [To14_14] : ((greater(To14_14, appear(efficient_producers, skolem_E1313)) & ! [T15_15] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T15_15) & greater_or_equal(T15_15, To14_14)) => greater(zero, growth_rate(first_movers, T15_15)))))))
% 1.21/0.73
% 1.21/0.73 [2] ALPHA_NOT_IMPLY : ~((environment(skolem_E1313) & stable(skolem_E1313)) => ? [To14_14] : ((greater(To14_14, appear(efficient_producers, skolem_E1313)) & ! [T15_15] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T15_15) & greater_or_equal(T15_15, To14_14)) => greater(zero, growth_rate(first_movers, T15_15)))))))
% 1.21/0.73 -> [3] (environment(skolem_E1313) & stable(skolem_E1313)), ~? [To14_14] : ((greater(To14_14, appear(efficient_producers, skolem_E1313)) & ! [T15_15] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T15_15) & greater_or_equal(T15_15, To14_14)) => greater(zero, growth_rate(first_movers, T15_15))))))
% 1.21/0.73
% 1.21/0.73 [3] ALPHA_AND : (environment(skolem_E1313) & stable(skolem_E1313))
% 1.21/0.73 -> [4] environment(skolem_E1313), stable(skolem_E1313)
% 1.21/0.73
% 1.21/0.73 [4] GAMMA_FORALL : ! [E5_5] : ((((environment(E5_5) & stable(E5_5)) & ? [T16_6] : ((in_environment(E5_5, T16_6) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, E5_5, T7_7) & greater_or_equal(T7_7, T16_6)) => greater(zero, growth_rate(first_movers, T7_7))))))) => ? [T28_8] : ((greater(T28_8, appear(efficient_producers, E5_5)) & ! [T9_9] : (((subpopulations(first_movers, efficient_producers, E5_5, T9_9) & greater_or_equal(T9_9, T28_8)) => greater(zero, growth_rate(first_movers, T9_9))))))))
% 1.21/0.73 -> [5] (((environment(skolem_E1313) & stable(skolem_E1313)) & ? [T16_6] : ((in_environment(skolem_E1313, T16_6) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, T16_6)) => greater(zero, growth_rate(first_movers, T7_7))))))) => ? [T28_8] : ((greater(T28_8, appear(efficient_producers, skolem_E1313)) & ! [T9_9] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T9_9) & greater_or_equal(T9_9, T28_8)) => greater(zero, growth_rate(first_movers, T9_9)))))))
% 1.21/0.73
% 1.21/0.73 [5] BETA_IMPLY : (((environment(skolem_E1313) & stable(skolem_E1313)) & ? [T16_6] : ((in_environment(skolem_E1313, T16_6) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, T16_6)) => greater(zero, growth_rate(first_movers, T7_7))))))) => ? [T28_8] : ((greater(T28_8, appear(efficient_producers, skolem_E1313)) & ! [T9_9] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T9_9) & greater_or_equal(T9_9, T28_8)) => greater(zero, growth_rate(first_movers, T9_9)))))))
% 1.21/0.73 -> [6] ~((environment(skolem_E1313) & stable(skolem_E1313)) & ? [T16_6] : ((in_environment(skolem_E1313, T16_6) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, T16_6)) => greater(zero, growth_rate(first_movers, T7_7)))))))
% 1.21/0.73 -> [7] ? [T28_8] : ((greater(T28_8, appear(efficient_producers, skolem_E1313)) & ! [T9_9] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T9_9) & greater_or_equal(T9_9, T28_8)) => greater(zero, growth_rate(first_movers, T9_9))))))
% 1.21/0.73
% 1.21/0.73 [7] DELTA_EXISTS : ? [T28_8] : ((greater(T28_8, appear(efficient_producers, skolem_E1313)) & ! [T9_9] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T9_9) & greater_or_equal(T9_9, T28_8)) => greater(zero, growth_rate(first_movers, T9_9))))))
% 1.21/0.73 -> [12] (greater(skolem_T288(skolem_E1313), appear(efficient_producers, skolem_E1313)) & ! [T9_9] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T9_9) & greater_or_equal(T9_9, skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, T9_9)))))
% 1.21/0.73
% 1.21/0.73 [12] ALPHA_AND : (greater(skolem_T288(skolem_E1313), appear(efficient_producers, skolem_E1313)) & ! [T9_9] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T9_9) & greater_or_equal(T9_9, skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, T9_9)))))
% 1.21/0.73 -> [14] greater(skolem_T288(skolem_E1313), appear(efficient_producers, skolem_E1313)), ! [T9_9] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T9_9) & greater_or_equal(T9_9, skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, T9_9))))
% 1.21/0.73
% 1.21/0.73 [14] GAMMA_FORALL : ! [E10_10] : (((environment(E10_10) & stable(E10_10)) => ? [To11_11] : ((in_environment(E10_10, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, E10_10, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12)))))))))
% 1.21/0.73 -> [20] ((environment(skolem_E1313) & stable(skolem_E1313)) => ? [To11_11] : ((in_environment(skolem_E1313, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12))))))))
% 1.21/0.73
% 1.21/0.73 [20] BETA_IMPLY : ((environment(skolem_E1313) & stable(skolem_E1313)) => ? [To11_11] : ((in_environment(skolem_E1313, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12))))))))
% 1.21/0.73 -> [22] ~(environment(skolem_E1313) & stable(skolem_E1313))
% 1.21/0.73 -> [23] ? [To11_11] : ((in_environment(skolem_E1313, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12)))))))
% 1.21/0.73
% 1.21/0.73 [22] BETA_NOT_AND : ~(environment(skolem_E1313) & stable(skolem_E1313))
% 1.21/0.73 -> [24] ~environment(skolem_E1313)
% 1.21/0.73 -> [25] ~stable(skolem_E1313)
% 1.21/0.73
% 1.21/0.73 [24] CLOSURE : ~environment(skolem_E1313)
% 1.21/0.73
% 1.21/0.73 [25] CLOSURE : ~stable(skolem_E1313)
% 1.21/0.73
% 1.21/0.73 [34] BETA_NOT_AND : ~(greater(skolem_T288(skolem_E1313), appear(efficient_producers, skolem_E1313)) & ! [T15_15] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T15_15) & greater_or_equal(T15_15, skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, T15_15)))))
% 1.21/0.73 -> [75] ~greater(skolem_T288(skolem_E1313), appear(efficient_producers, skolem_E1313))
% 1.21/0.73 -> [76] ~! [T15_15] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T15_15) & greater_or_equal(T15_15, skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, T15_15))))
% 1.21/0.73
% 1.21/0.73 [75] CLOSURE : ~greater(skolem_T288(skolem_E1313), appear(efficient_producers, skolem_E1313))
% 1.21/0.73
% 1.21/0.73 [76] DELTA_NOT_FORALL : ~! [T15_15] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T15_15) & greater_or_equal(T15_15, skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, T15_15))))
% 1.21/0.73 -> [77] ~((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T1515(skolem_T288(skolem_E1313)))))
% 1.21/0.73
% 1.21/0.73 [77] ALPHA_NOT_IMPLY : ~((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T1515(skolem_T288(skolem_E1313)))))
% 1.21/0.74 -> [78] (subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313))), ~greater(zero, growth_rate(first_movers, skolem_T1515(skolem_T288(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [78] ALPHA_AND : (subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313)))
% 1.21/0.74 -> [79] subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313))), greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [79] GAMMA_FORALL : ! [T9_9] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T9_9) & greater_or_equal(T9_9, skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, T9_9))))
% 1.21/0.74 -> [80] ((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T1515(skolem_T288(skolem_E1313)))))
% 1.21/0.74
% 1.21/0.74 [80] BETA_IMPLY : ((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T1515(skolem_T288(skolem_E1313)))))
% 1.21/0.74 -> [81] ~(subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313)))
% 1.21/0.74 -> [82] greater(zero, growth_rate(first_movers, skolem_T1515(skolem_T288(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [82] CLOSURE : greater(zero, growth_rate(first_movers, skolem_T1515(skolem_T288(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [81] BETA_NOT_AND : ~(subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313)))
% 1.21/0.74 -> [89] ~subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313)))
% 1.21/0.74 -> [90] ~greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [89] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_T288(skolem_E1313)))
% 1.21/0.74
% 1.21/0.74 [90] CLOSURE : ~greater_or_equal(skolem_T1515(skolem_T288(skolem_E1313)), skolem_T288(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [6] BETA_NOT_AND : ~((environment(skolem_E1313) & stable(skolem_E1313)) & ? [T16_6] : ((in_environment(skolem_E1313, T16_6) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, T16_6)) => greater(zero, growth_rate(first_movers, T7_7)))))))
% 1.21/0.74 -> [8] ~(environment(skolem_E1313) & stable(skolem_E1313))
% 1.21/0.74 -> [9] ~? [T16_6] : ((in_environment(skolem_E1313, T16_6) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, T16_6)) => greater(zero, growth_rate(first_movers, T7_7))))))
% 1.21/0.74
% 1.21/0.74 [8] BETA_NOT_AND : ~(environment(skolem_E1313) & stable(skolem_E1313))
% 1.21/0.74 -> [10] ~environment(skolem_E1313)
% 1.21/0.74 -> [11] ~stable(skolem_E1313)
% 1.21/0.74
% 1.21/0.74 [10] CLOSURE : ~environment(skolem_E1313)
% 1.21/0.74
% 1.21/0.74 [11] CLOSURE : ~stable(skolem_E1313)
% 1.21/0.74
% 1.21/0.74 [9] GAMMA_FORALL : ! [E10_10] : (((environment(E10_10) & stable(E10_10)) => ? [To11_11] : ((in_environment(E10_10, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, E10_10, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12)))))))))
% 1.21/0.74 -> [13] ((environment(skolem_E1313) & stable(skolem_E1313)) => ? [To11_11] : ((in_environment(skolem_E1313, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12))))))))
% 1.21/0.74
% 1.21/0.74 [13] BETA_IMPLY : ((environment(skolem_E1313) & stable(skolem_E1313)) => ? [To11_11] : ((in_environment(skolem_E1313, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12))))))))
% 1.21/0.74 -> [15] ~(environment(skolem_E1313) & stable(skolem_E1313))
% 1.21/0.74 -> [16] ? [To11_11] : ((in_environment(skolem_E1313, To11_11) & ! [T12_12] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T12_12) & greater_or_equal(T12_12, To11_11)) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12)))))))
% 1.21/0.74
% 1.21/0.74 [15] BETA_NOT_AND : ~(environment(skolem_E1313) & stable(skolem_E1313))
% 1.21/0.74 -> [17] ~environment(skolem_E1313)
% 1.21/0.74 -> [18] ~stable(skolem_E1313)
% 1.21/0.74
% 1.21/0.74 [18] CLOSURE : ~stable(skolem_E1313)
% 1.21/0.74
% 1.21/0.74 [17] CLOSURE : ~environment(skolem_E1313)
% 1.21/0.74
% 1.21/0.74 [27] BETA_NOT_AND : ~(greater(skolem_To1111(skolem_E1313), appear(efficient_producers, skolem_E1313)) & ! [T15_15] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T15_15) & greater_or_equal(T15_15, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T15_15)))))
% 1.21/0.74 -> [105] ~greater(skolem_To1111(skolem_E1313), appear(efficient_producers, skolem_E1313))
% 1.21/0.74 -> [106] ~! [T15_15] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T15_15) & greater_or_equal(T15_15, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T15_15))))
% 1.21/0.74
% 1.21/0.74 [106] DELTA_NOT_FORALL : ~! [T15_15] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T15_15) & greater_or_equal(T15_15, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T15_15))))
% 1.21/0.74 -> [107] ~((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T1515(skolem_To1111(skolem_E1313)))))
% 1.21/0.74
% 1.21/0.74 [107] ALPHA_NOT_IMPLY : ~((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T1515(skolem_To1111(skolem_E1313)))))
% 1.21/0.74 -> [108] (subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))), ~greater(zero, growth_rate(first_movers, skolem_T1515(skolem_To1111(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [108] ALPHA_AND : (subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313)))
% 1.21/0.74 -> [112] subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313))), greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [112] GAMMA_NOT_EXISTS : ~? [T16_6] : ((in_environment(skolem_E1313, T16_6) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, T16_6)) => greater(zero, growth_rate(first_movers, T7_7))))))
% 1.21/0.74 -> [115] ~(in_environment(skolem_E1313, skolem_To1111(skolem_E1313)) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T7_7)))))
% 1.21/0.74
% 1.21/0.74 [115] BETA_NOT_AND : ~(in_environment(skolem_E1313, skolem_To1111(skolem_E1313)) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T7_7)))))
% 1.21/0.74 -> [117] ~in_environment(skolem_E1313, skolem_To1111(skolem_E1313))
% 1.21/0.74 -> [118] ~! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T7_7))))
% 1.21/0.74
% 1.21/0.74 [118] DELTA_NOT_FORALL : ~! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T7_7))))
% 1.21/0.74 -> [119] ~((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313)))))
% 1.21/0.74
% 1.21/0.74 [119] ALPHA_NOT_IMPLY : ~((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313)))))
% 1.21/0.74 -> [120] (subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))), ~greater(zero, growth_rate(first_movers, skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [120] ALPHA_AND : (subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313)))
% 1.21/0.74 -> [126] subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313))), greater_or_equal(skolem_T77(skolem_E1313, skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [126] GAMMA_FORALL : ! [T12_12] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T12_12) & greater_or_equal(T12_12, skolem_To1111(skolem_E1313))) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12)))))
% 1.21/0.74 -> [128] ((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => (greater(growth_rate(efficient_producers, skolem_T1515(skolem_To1111(skolem_E1313))), zero) & greater(zero, growth_rate(first_movers, skolem_T1515(skolem_To1111(skolem_E1313))))))
% 1.21/0.74
% 1.21/0.74 [128] BETA_IMPLY : ((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => (greater(growth_rate(efficient_producers, skolem_T1515(skolem_To1111(skolem_E1313))), zero) & greater(zero, growth_rate(first_movers, skolem_T1515(skolem_To1111(skolem_E1313))))))
% 1.21/0.74 -> [129] ~(subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313)))
% 1.21/0.74 -> [130] (greater(growth_rate(efficient_producers, skolem_T1515(skolem_To1111(skolem_E1313))), zero) & greater(zero, growth_rate(first_movers, skolem_T1515(skolem_To1111(skolem_E1313)))))
% 1.21/0.74
% 1.21/0.74 [130] ALPHA_AND : (greater(growth_rate(efficient_producers, skolem_T1515(skolem_To1111(skolem_E1313))), zero) & greater(zero, growth_rate(first_movers, skolem_T1515(skolem_To1111(skolem_E1313)))))
% 1.21/0.74 -> [133] greater(growth_rate(efficient_producers, skolem_T1515(skolem_To1111(skolem_E1313))), zero), greater(zero, growth_rate(first_movers, skolem_T1515(skolem_To1111(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [133] CLOSURE : greater(zero, growth_rate(first_movers, skolem_T1515(skolem_To1111(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [129] BETA_NOT_AND : ~(subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313)))
% 1.21/0.74 -> [136] ~subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313)))
% 1.21/0.74 -> [137] ~greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [136] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T1515(skolem_To1111(skolem_E1313)))
% 1.21/0.74
% 1.21/0.74 [137] CLOSURE : ~greater_or_equal(skolem_T1515(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [117] CLOSURE : ~in_environment(skolem_E1313, skolem_To1111(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [109] BETA_NOT_AND : ~(in_environment(skolem_E1313, skolem_To1111(skolem_E1313)) & ! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T7_7)))))
% 1.21/0.74 -> [138] ~in_environment(skolem_E1313, skolem_To1111(skolem_E1313))
% 1.21/0.74 -> [139] ~! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T7_7))))
% 1.21/0.74
% 1.21/0.74 [138] CLOSURE : ~in_environment(skolem_E1313, skolem_To1111(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [139] DELTA_NOT_FORALL : ~! [T7_7] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T7_7) & greater_or_equal(T7_7, skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, T7_7))))
% 1.21/0.74 -> [140] ~((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T77(skolem_To1111(skolem_E1313)))))
% 1.21/0.74
% 1.21/0.74 [140] ALPHA_NOT_IMPLY : ~((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => greater(zero, growth_rate(first_movers, skolem_T77(skolem_To1111(skolem_E1313)))))
% 1.21/0.74 -> [141] (subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))), ~greater(zero, growth_rate(first_movers, skolem_T77(skolem_To1111(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [141] ALPHA_AND : (subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313)))
% 1.21/0.74 -> [142] subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313))), greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [142] GAMMA_FORALL : ! [T12_12] : (((subpopulations(first_movers, efficient_producers, skolem_E1313, T12_12) & greater_or_equal(T12_12, skolem_To1111(skolem_E1313))) => (greater(growth_rate(efficient_producers, T12_12), zero) & greater(zero, growth_rate(first_movers, T12_12)))))
% 1.21/0.74 -> [143] ((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => (greater(growth_rate(efficient_producers, skolem_T77(skolem_To1111(skolem_E1313))), zero) & greater(zero, growth_rate(first_movers, skolem_T77(skolem_To1111(skolem_E1313))))))
% 1.21/0.74
% 1.21/0.74 [143] BETA_IMPLY : ((subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))) => (greater(growth_rate(efficient_producers, skolem_T77(skolem_To1111(skolem_E1313))), zero) & greater(zero, growth_rate(first_movers, skolem_T77(skolem_To1111(skolem_E1313))))))
% 1.21/0.74 -> [144] ~(subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313)))
% 1.21/0.74 -> [145] (greater(growth_rate(efficient_producers, skolem_T77(skolem_To1111(skolem_E1313))), zero) & greater(zero, growth_rate(first_movers, skolem_T77(skolem_To1111(skolem_E1313)))))
% 1.21/0.74
% 1.21/0.74 [145] ALPHA_AND : (greater(growth_rate(efficient_producers, skolem_T77(skolem_To1111(skolem_E1313))), zero) & greater(zero, growth_rate(first_movers, skolem_T77(skolem_To1111(skolem_E1313)))))
% 1.21/0.74 -> [148] greater(growth_rate(efficient_producers, skolem_T77(skolem_To1111(skolem_E1313))), zero), greater(zero, growth_rate(first_movers, skolem_T77(skolem_To1111(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [148] CLOSURE : greater(zero, growth_rate(first_movers, skolem_T77(skolem_To1111(skolem_E1313))))
% 1.21/0.74
% 1.21/0.74 [144] BETA_NOT_AND : ~(subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313))) & greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313)))
% 1.21/0.74 -> [149] ~subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313)))
% 1.21/0.74 -> [150] ~greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 [149] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1313, skolem_T77(skolem_To1111(skolem_E1313)))
% 1.21/0.74
% 1.21/0.74 [150] CLOSURE : ~greater_or_equal(skolem_T77(skolem_To1111(skolem_E1313)), skolem_To1111(skolem_E1313))
% 1.21/0.74
% 1.21/0.74 % SZS output end Proof for theBenchmark.p
% 1.21/0.74 [0.383026s][1][Res] 1313 goroutines created
% 1.21/0.74 ==== Result ====
% 1.21/0.74 [0.383063s][1][Res] VALID
% 1.21/0.74 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------