TSTP Solution File: MGT032+2 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n022.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 05:15:40 EDT 2022
% Result : Theorem 4.33s 1.75s
% Output : Proof 4.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : goeland -dmt -presko -proof %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Sep 2 02:45:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 [DMT] DMT loaded with preskolemization
% 0.14/0.35 [EQ] equality loaded.
% 0.14/0.35 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.36 Start search
% 0.14/0.36 nb_step : 1 - limit : 7
% 0.14/0.36 Launch Gotab with destructive = true
% 4.33/1.75 % SZS output start Proof for theBenchmark.p
% 4.33/1.75 [0] ALPHA_AND : (! [E5_5, S16_6, S27_7, T8_8] : ((((environment(E5_5) & subpopulations(S16_6, S27_7, E5_5, T8_8)) & greater(growth_rate(S27_7, T8_8), growth_rate(S16_6, T8_8))) => selection_favors(S27_7, S16_6, T8_8))) & ! [E9_9] : (((environment(E9_9) & stable(E9_9)) => ? [To10_10] : ((in_environment(E9_9, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, E9_9, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))))) & ~! [E12_12] : (((environment(E12_12) & stable(E12_12)) => ? [To13_13] : ((in_environment(E12_12, To13_13) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, E12_12, T14_14) & greater_or_equal(T14_14, To13_13)) => selection_favors(efficient_producers, first_movers, T14_14))))))))
% 4.33/1.75 -> [1] ! [E5_5, S16_6, S27_7, T8_8] : ((((environment(E5_5) & subpopulations(S16_6, S27_7, E5_5, T8_8)) & greater(growth_rate(S27_7, T8_8), growth_rate(S16_6, T8_8))) => selection_favors(S27_7, S16_6, T8_8))), ! [E9_9] : (((environment(E9_9) & stable(E9_9)) => ? [To10_10] : ((in_environment(E9_9, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, E9_9, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))))), ~! [E12_12] : (((environment(E12_12) & stable(E12_12)) => ? [To13_13] : ((in_environment(E12_12, To13_13) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, E12_12, T14_14) & greater_or_equal(T14_14, To13_13)) => selection_favors(efficient_producers, first_movers, T14_14)))))))
% 4.33/1.75
% 4.33/1.75 [1] DELTA_NOT_FORALL : ~! [E12_12] : (((environment(E12_12) & stable(E12_12)) => ? [To13_13] : ((in_environment(E12_12, To13_13) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, E12_12, T14_14) & greater_or_equal(T14_14, To13_13)) => selection_favors(efficient_producers, first_movers, T14_14)))))))
% 4.33/1.75 -> [2] ~((environment(skolem_E1212) & stable(skolem_E1212)) => ? [To13_13] : ((in_environment(skolem_E1212, To13_13) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, To13_13)) => selection_favors(efficient_producers, first_movers, T14_14))))))
% 4.33/1.75
% 4.33/1.75 [2] ALPHA_NOT_IMPLY : ~((environment(skolem_E1212) & stable(skolem_E1212)) => ? [To13_13] : ((in_environment(skolem_E1212, To13_13) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, To13_13)) => selection_favors(efficient_producers, first_movers, T14_14))))))
% 4.33/1.75 -> [3] (environment(skolem_E1212) & stable(skolem_E1212)), ~? [To13_13] : ((in_environment(skolem_E1212, To13_13) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, To13_13)) => selection_favors(efficient_producers, first_movers, T14_14)))))
% 4.33/1.75
% 4.33/1.75 [3] ALPHA_AND : (environment(skolem_E1212) & stable(skolem_E1212))
% 4.33/1.75 -> [4] environment(skolem_E1212), stable(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [4] GAMMA_FORALL : ! [E5_5, S16_6, S27_7, T8_8] : ((((environment(E5_5) & subpopulations(S16_6, S27_7, E5_5, T8_8)) & greater(growth_rate(S27_7, T8_8), growth_rate(S16_6, T8_8))) => selection_favors(S27_7, S16_6, T8_8)))
% 4.33/1.75 -> [5] (((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [5] BETA_IMPLY : (((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [6] ~((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75 -> [7] selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [7] GAMMA_FORALL : ! [E9_9] : (((environment(E9_9) & stable(E9_9)) => ? [To10_10] : ((in_environment(E9_9, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, E9_9, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))))))
% 4.33/1.75 -> [12] ((environment(skolem_E1212) & stable(skolem_E1212)) => ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))))
% 4.33/1.75
% 4.33/1.75 [12] BETA_IMPLY : ((environment(skolem_E1212) & stable(skolem_E1212)) => ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))))
% 4.33/1.75 -> [15] ~(environment(skolem_E1212) & stable(skolem_E1212))
% 4.33/1.75 -> [16] ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))))
% 4.33/1.75
% 4.33/1.75 [15] BETA_NOT_AND : ~(environment(skolem_E1212) & stable(skolem_E1212))
% 4.33/1.75 -> [19] ~environment(skolem_E1212)
% 4.33/1.75 -> [20] ~stable(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [20] CLOSURE : ~stable(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [19] CLOSURE : ~environment(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [35] BETA_NOT_AND : ~(in_environment(skolem_E1212, skolem_To1010(skolem_E1212)) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14))))
% 4.33/1.75 -> [56] ~in_environment(skolem_E1212, skolem_To1010(skolem_E1212))
% 4.33/1.75 -> [57] ~! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14)))
% 4.33/1.75
% 4.33/1.75 [57] DELTA_NOT_FORALL : ~! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14)))
% 4.33/1.75 -> [58] ~((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [58] ALPHA_NOT_IMPLY : ~((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [59] (subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))), ~selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [59] ALPHA_AND : (subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212)))
% 4.33/1.75 -> [60] subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))), greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [60] CLOSURE : (subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [56] CLOSURE : ~in_environment(skolem_E1212, skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [6] BETA_NOT_AND : ~((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75 -> [303] ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [304] ~greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [303] BETA_NOT_AND : ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [305] ~environment(skolem_E1212)
% 4.33/1.75 -> [306] ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [305] CLOSURE : ~environment(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [306] GAMMA_FORALL : ! [E9_9] : (((environment(E9_9) & stable(E9_9)) => ? [To10_10] : ((in_environment(E9_9, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, E9_9, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))))))
% 4.33/1.75 -> [308] ((environment(skolem_E1212) & stable(skolem_E1212)) => ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))))
% 4.33/1.75
% 4.33/1.75 [308] BETA_IMPLY : ((environment(skolem_E1212) & stable(skolem_E1212)) => ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))))
% 4.33/1.75 -> [311] ~(environment(skolem_E1212) & stable(skolem_E1212))
% 4.33/1.75 -> [312] ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))))
% 4.33/1.75
% 4.33/1.75 [311] BETA_NOT_AND : ~(environment(skolem_E1212) & stable(skolem_E1212))
% 4.33/1.75 -> [316] ~environment(skolem_E1212)
% 4.33/1.75 -> [317] ~stable(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [317] CLOSURE : ~stable(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [316] CLOSURE : ~environment(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [312] DELTA_EXISTS : ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))))
% 4.33/1.75 -> [318] (in_environment(skolem_E1212, skolem_To1010(skolem_E1212)) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))
% 4.33/1.75
% 4.33/1.75 [318] ALPHA_AND : (in_environment(skolem_E1212, skolem_To1010(skolem_E1212)) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))
% 4.33/1.75 -> [320] in_environment(skolem_E1212, skolem_To1010(skolem_E1212)), ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))
% 4.33/1.75
% 4.33/1.75 [320] GAMMA_NOT_EXISTS : ~? [To13_13] : ((in_environment(skolem_E1212, To13_13) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, To13_13)) => selection_favors(efficient_producers, first_movers, T14_14)))))
% 4.33/1.75 -> [322] ~(in_environment(skolem_E1212, skolem_To1010(skolem_E1212)) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14))))
% 4.33/1.75
% 4.33/1.75 [322] BETA_NOT_AND : ~(in_environment(skolem_E1212, skolem_To1010(skolem_E1212)) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14))))
% 4.33/1.75 -> [325] ~in_environment(skolem_E1212, skolem_To1010(skolem_E1212))
% 4.33/1.75 -> [326] ~! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14)))
% 4.33/1.75
% 4.33/1.75 [325] CLOSURE : ~in_environment(skolem_E1212, skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [326] DELTA_NOT_FORALL : ~! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14)))
% 4.33/1.75 -> [328] ~((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [328] ALPHA_NOT_IMPLY : ~((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [330] (subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))), ~selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [330] ALPHA_AND : (subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212)))
% 4.33/1.75 -> [332] subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))), greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [332] GAMMA_FORALL : ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))
% 4.33/1.75 -> [333] ((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75
% 4.33/1.75 [333] BETA_IMPLY : ((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75 -> [335] ~(subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212)))
% 4.33/1.75 -> [336] greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [336] : ! [E5_5, S16_6, S27_7, T8_8] : ((((environment(E5_5) & subpopulations(S16_6, S27_7, E5_5, T8_8)) & greater(growth_rate(S27_7, T8_8), growth_rate(S16_6, T8_8))) => selection_favors(S27_7, S16_6, T8_8)))
% 4.33/1.75 -> [343] ! [E5_5, S16_6, S27_7, T8_8] : ((((environment(E5_5) & subpopulations(S16_6, S27_7, E5_5, T8_8)) & greater(growth_rate(S27_7, T8_8), growth_rate(S16_6, T8_8))) => selection_favors(S27_7, S16_6, T8_8)))
% 4.33/1.75
% 4.33/1.75 [343] GAMMA_FORALL : ! [E5_5, S16_6, S27_7, T8_8] : ((((environment(E5_5) & subpopulations(S16_6, S27_7, E5_5, T8_8)) & greater(growth_rate(S27_7, T8_8), growth_rate(S16_6, T8_8))) => selection_favors(S27_7, S16_6, T8_8)))
% 4.33/1.75 -> [344] (((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [344] BETA_IMPLY : (((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [345] ~((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75 -> [346] selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [346] CLOSURE : selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [345] BETA_NOT_AND : ~((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75 -> [372] ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [373] ~greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [373] CLOSURE : ~greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [372] BETA_NOT_AND : ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [393] ~environment(skolem_E1212)
% 4.33/1.75 -> [394] ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [393] CLOSURE : ~environment(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [394] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [335] BETA_NOT_AND : ~(subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212)))
% 4.33/1.75 -> [401] ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75 -> [402] ~greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [401] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [402] CLOSURE : ~greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [304] GAMMA_FORALL : ! [E9_9] : (((environment(E9_9) & stable(E9_9)) => ? [To10_10] : ((in_environment(E9_9, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, E9_9, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))))))
% 4.33/1.75 -> [307] ((environment(skolem_E1212) & stable(skolem_E1212)) => ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))))
% 4.33/1.75
% 4.33/1.75 [307] BETA_IMPLY : ((environment(skolem_E1212) & stable(skolem_E1212)) => ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))))
% 4.33/1.75 -> [309] ~(environment(skolem_E1212) & stable(skolem_E1212))
% 4.33/1.75 -> [310] ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))))
% 4.33/1.75
% 4.33/1.75 [309] BETA_NOT_AND : ~(environment(skolem_E1212) & stable(skolem_E1212))
% 4.33/1.75 -> [313] ~environment(skolem_E1212)
% 4.33/1.75 -> [314] ~stable(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [314] CLOSURE : ~stable(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [313] CLOSURE : ~environment(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [310] DELTA_EXISTS : ? [To10_10] : ((in_environment(skolem_E1212, To10_10) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, To10_10)) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))))
% 4.33/1.75 -> [315] (in_environment(skolem_E1212, skolem_To1010(skolem_E1212)) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))
% 4.33/1.75
% 4.33/1.75 [315] ALPHA_AND : (in_environment(skolem_E1212, skolem_To1010(skolem_E1212)) & ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11)))))
% 4.33/1.75 -> [319] in_environment(skolem_E1212, skolem_To1010(skolem_E1212)), ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))
% 4.33/1.75
% 4.33/1.75 [319] GAMMA_NOT_EXISTS : ~? [To13_13] : ((in_environment(skolem_E1212, To13_13) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, To13_13)) => selection_favors(efficient_producers, first_movers, T14_14)))))
% 4.33/1.75 -> [321] ~(in_environment(skolem_E1212, skolem_To1010(skolem_E1212)) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14))))
% 4.33/1.75
% 4.33/1.75 [321] BETA_NOT_AND : ~(in_environment(skolem_E1212, skolem_To1010(skolem_E1212)) & ! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14))))
% 4.33/1.75 -> [323] ~in_environment(skolem_E1212, skolem_To1010(skolem_E1212))
% 4.33/1.75 -> [324] ~! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14)))
% 4.33/1.75
% 4.33/1.75 [323] CLOSURE : ~in_environment(skolem_E1212, skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [324] DELTA_NOT_FORALL : ~! [T14_14] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T14_14) & greater_or_equal(T14_14, skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, T14_14)))
% 4.33/1.75 -> [327] ~((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [327] ALPHA_NOT_IMPLY : ~((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [329] (subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))), ~selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [329] ALPHA_AND : (subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212)))
% 4.33/1.75 -> [331] subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))), greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [331] GAMMA_FORALL : ! [T11_11] : (((subpopulations(first_movers, efficient_producers, skolem_E1212, T11_11) & greater_or_equal(T11_11, skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, T11_11), growth_rate(first_movers, T11_11))))
% 4.33/1.75 -> [334] ((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75
% 4.33/1.75 [334] BETA_IMPLY : ((subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))) => greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75 -> [337] ~(subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212)))
% 4.33/1.75 -> [338] greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [337] BETA_NOT_AND : ~(subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))) & greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212)))
% 4.33/1.75 -> [341] ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75 -> [342] ~greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [342] CLOSURE : ~greater_or_equal(skolem_T1414(skolem_To1010(skolem_E1212)), skolem_To1010(skolem_E1212))
% 4.33/1.75
% 4.33/1.75 [341] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [338] : ! [E5_5, S16_6, S27_7, T8_8] : ((((environment(E5_5) & subpopulations(S16_6, S27_7, E5_5, T8_8)) & greater(growth_rate(S27_7, T8_8), growth_rate(S16_6, T8_8))) => selection_favors(S27_7, S16_6, T8_8)))
% 4.33/1.75 -> [554] ! [E5_5, S16_6, S27_7, T8_8] : ((((environment(E5_5) & subpopulations(S16_6, S27_7, E5_5, T8_8)) & greater(growth_rate(S27_7, T8_8), growth_rate(S16_6, T8_8))) => selection_favors(S27_7, S16_6, T8_8)))
% 4.33/1.75
% 4.33/1.75 [554] GAMMA_FORALL : ! [E5_5, S16_6, S27_7, T8_8] : ((((environment(E5_5) & subpopulations(S16_6, S27_7, E5_5, T8_8)) & greater(growth_rate(S27_7, T8_8), growth_rate(S16_6, T8_8))) => selection_favors(S27_7, S16_6, T8_8)))
% 4.33/1.75 -> [555] (((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [555] BETA_IMPLY : (((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))) => selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [556] ~((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75 -> [557] selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [557] CLOSURE : selection_favors(efficient_producers, first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [556] BETA_NOT_AND : ~((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))) & greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212)))))
% 4.33/1.75 -> [562] ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [563] ~greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [563] CLOSURE : ~greater(growth_rate(efficient_producers, skolem_T1414(skolem_To1010(skolem_E1212))), growth_rate(first_movers, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75
% 4.33/1.75 [562] BETA_NOT_AND : ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212))))
% 4.33/1.75 -> [564] ~environment(skolem_E1212)
% 4.33/1.75 -> [565] ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 [564] CLOSURE : ~environment(skolem_E1212)
% 4.33/1.75
% 4.33/1.75 [565] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1414(skolem_To1010(skolem_E1212)))
% 4.33/1.75
% 4.33/1.75 % SZS output end Proof for theBenchmark.p
% 4.33/1.75 [1.399237s][1][Res] 8739 goroutines created
% 4.33/1.75 ==== Result ====
% 4.33/1.75 [1.399271s][1][Res] VALID
% 4.33/1.75 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------