TSTP Solution File: MGT036+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : MGT036+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:15:42 EDT 2022
% Result : Theorem 1.81s 0.78s
% Output : Proof 1.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT036+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : goeland -dmt -presko -proof %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Sep 2 02:46:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 [DMT] DMT loaded with preskolemization
% 0.13/0.34 [EQ] equality loaded.
% 0.13/0.34 [0.000037s][1][MAIN] Problem : theBenchmark.p
% 0.13/0.34 Start search
% 0.13/0.34 nb_step : 1 - limit : 6
% 0.13/0.34 Launch Gotab with destructive = true
% 1.81/0.78 % SZS output start Proof for theBenchmark.p
% 1.81/0.78 [0] ALPHA_AND : (! [E4_4, T5_5] : (((environment(E4_4) & subpopulations(first_movers, efficient_producers, E4_4, T5_5)) => subpopulations(efficient_producers, first_movers, E4_4, T5_5))) & ! [E6_6, T7_7] : (((environment(E6_6) & subpopulations(first_movers, efficient_producers, E6_6, T7_7)) => in_environment(E6_6, T7_7))) & ! [E12_12, S113_13, S214_14, T15_15] : (((environment(E12_12) & subpopulations(S113_13, S214_14, E12_12, T15_15)) => ((greater_or_equal(growth_rate(S214_14, T15_15), zero) & greater(zero, growth_rate(S113_13, T15_15))) <=> outcompetes(S214_14, S113_13, T15_15)))) & ! [E16_16, S117_17, S218_18, T19_19] : (((((environment(E16_16) & in_environment(E16_16, T19_19)) & ~greater(zero, growth_rate(S117_17, T19_19))) & greater(resilience(S218_18), resilience(S117_17))) => ~greater(zero, growth_rate(S218_18, T19_19)))) & greater(resilience(efficient_producers), resilience(first_movers)) & ~! [E20_20, T21_21] : (((environment(E20_20) & subpopulations(first_movers, efficient_producers, E20_20, T21_21)) => ~outcompetes(first_movers, efficient_producers, T21_21))))
% 1.81/0.78 -> [1] ! [E4_4, T5_5] : (((environment(E4_4) & subpopulations(first_movers, efficient_producers, E4_4, T5_5)) => subpopulations(efficient_producers, first_movers, E4_4, T5_5))), ! [E6_6, T7_7] : (((environment(E6_6) & subpopulations(first_movers, efficient_producers, E6_6, T7_7)) => in_environment(E6_6, T7_7))), ! [E12_12, S113_13, S214_14, T15_15] : (((environment(E12_12) & subpopulations(S113_13, S214_14, E12_12, T15_15)) => ((greater_or_equal(growth_rate(S214_14, T15_15), zero) & greater(zero, growth_rate(S113_13, T15_15))) <=> outcompetes(S214_14, S113_13, T15_15)))), ! [E16_16, S117_17, S218_18, T19_19] : (((((environment(E16_16) & in_environment(E16_16, T19_19)) & ~greater(zero, growth_rate(S117_17, T19_19))) & greater(resilience(S218_18), resilience(S117_17))) => ~greater(zero, growth_rate(S218_18, T19_19)))), greater(resilience(efficient_producers), resilience(first_movers)), ~! [E20_20, T21_21] : (((environment(E20_20) & subpopulations(first_movers, efficient_producers, E20_20, T21_21)) => ~outcompetes(first_movers, efficient_producers, T21_21)))
% 1.81/0.78
% 1.81/0.78 [1] DELTA_NOT_FORALL : ~! [E20_20, T21_21] : (((environment(E20_20) & subpopulations(first_movers, efficient_producers, E20_20, T21_21)) => ~outcompetes(first_movers, efficient_producers, T21_21)))
% 1.81/0.78 -> [2] ~((environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)) => ~outcompetes(first_movers, efficient_producers, skolem_T2121))
% 1.81/0.78
% 1.81/0.78 [2] ALPHA_NOT_IMPLY : ~((environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)) => ~outcompetes(first_movers, efficient_producers, skolem_T2121))
% 1.81/0.78 -> [3] (environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)), ~~outcompetes(first_movers, efficient_producers, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [3] ALPHA_AND : (environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [4] environment(skolem_E2020), subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [4] ALPHA_NOT_NOT : ~~outcompetes(first_movers, efficient_producers, skolem_T2121)
% 1.81/0.78 -> [5] outcompetes(first_movers, efficient_producers, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [5] GAMMA_FORALL : ! [E4_4, T5_5] : (((environment(E4_4) & subpopulations(first_movers, efficient_producers, E4_4, T5_5)) => subpopulations(efficient_producers, first_movers, E4_4, T5_5)))
% 1.81/0.78 -> [6] ((environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)) => subpopulations(efficient_producers, first_movers, skolem_E2020, skolem_T2121))
% 1.81/0.78
% 1.81/0.78 [6] BETA_IMPLY : ((environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)) => subpopulations(efficient_producers, first_movers, skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [7] ~(environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [8] subpopulations(efficient_producers, first_movers, skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [7] BETA_NOT_AND : ~(environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [9] ~environment(skolem_E2020)
% 1.81/0.78 -> [10] ~subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [10] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [9] CLOSURE : ~environment(skolem_E2020)
% 1.81/0.78
% 1.81/0.78 [8] GAMMA_FORALL : ! [E6_6, T7_7] : (((environment(E6_6) & subpopulations(first_movers, efficient_producers, E6_6, T7_7)) => in_environment(E6_6, T7_7)))
% 1.81/0.78 -> [11] ((environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)) => in_environment(skolem_E2020, skolem_T2121))
% 1.81/0.78
% 1.81/0.78 [11] BETA_IMPLY : ((environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)) => in_environment(skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [12] ~(environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [13] in_environment(skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [12] BETA_NOT_AND : ~(environment(skolem_E2020) & subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [14] ~environment(skolem_E2020)
% 1.81/0.78 -> [15] ~subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [15] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [14] CLOSURE : ~environment(skolem_E2020)
% 1.81/0.78
% 1.81/0.78 [16] BETA_IMPLY : ((environment(skolem_E2020) & subpopulations(efficient_producers, first_movers, skolem_E2020, skolem_T2121)) => ((greater_or_equal(growth_rate(first_movers, skolem_T2121), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2121))) <=> outcompetes(first_movers, efficient_producers, skolem_T2121)))
% 1.81/0.78 -> [254] ~(environment(skolem_E2020) & subpopulations(efficient_producers, first_movers, skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [255] ((greater_or_equal(growth_rate(first_movers, skolem_T2121), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2121))) <=> outcompetes(first_movers, efficient_producers, skolem_T2121))
% 1.81/0.78
% 1.81/0.78 [255] BETA_EQUIV : ((greater_or_equal(growth_rate(first_movers, skolem_T2121), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2121))) <=> outcompetes(first_movers, efficient_producers, skolem_T2121))
% 1.81/0.78 -> [258] ~(greater_or_equal(growth_rate(first_movers, skolem_T2121), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2121))), ~outcompetes(first_movers, efficient_producers, skolem_T2121)
% 1.81/0.78 -> [259] (greater_or_equal(growth_rate(first_movers, skolem_T2121), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2121))), outcompetes(first_movers, efficient_producers, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [258] CLOSURE : ~outcompetes(first_movers, efficient_producers, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [260] ALPHA_NOT_IMPLY : ~((environment(E8_0_-1) & subpopulations(efficient_producers, S210_0_-1, E8_0_-1, skolem_T2121)) => greater_or_equal(growth_rate(efficient_producers, skolem_T2121), zero))
% 1.81/0.78 -> [335] (environment(E8_0_-1) & subpopulations(efficient_producers, S210_0_-1, E8_0_-1, skolem_T2121)), ~greater_or_equal(growth_rate(efficient_producers, skolem_T2121), zero)
% 1.81/0.78
% 1.81/0.78 [335] ALPHA_AND : (environment(E8_0_-1) & subpopulations(efficient_producers, S210_0_-1, E8_0_-1, skolem_T2121))
% 1.81/0.78 -> [336] environment(E8_0_-1), subpopulations(efficient_producers, S210_0_-1, E8_0_-1, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [336] GAMMA_FORALL : ! [E16_16, S117_17, S218_18, T19_19] : (((((environment(E16_16) & in_environment(E16_16, T19_19)) & ~greater(zero, growth_rate(S117_17, T19_19))) & greater(resilience(S218_18), resilience(S117_17))) => ~greater(zero, growth_rate(S218_18, T19_19))))
% 1.81/0.78 -> [337] ((((environment(skolem_E2020) & in_environment(skolem_E2020, skolem_T2121)) & ~greater(zero, growth_rate(first_movers, skolem_T2121))) & greater(resilience(efficient_producers), resilience(first_movers))) => ~greater(zero, growth_rate(efficient_producers, skolem_T2121)))
% 1.81/0.78
% 1.81/0.78 [337] BETA_IMPLY : ((((environment(skolem_E2020) & in_environment(skolem_E2020, skolem_T2121)) & ~greater(zero, growth_rate(first_movers, skolem_T2121))) & greater(resilience(efficient_producers), resilience(first_movers))) => ~greater(zero, growth_rate(efficient_producers, skolem_T2121)))
% 1.81/0.78 -> [338] ~(((environment(skolem_E2020) & in_environment(skolem_E2020, skolem_T2121)) & ~greater(zero, growth_rate(first_movers, skolem_T2121))) & greater(resilience(efficient_producers), resilience(first_movers)))
% 1.81/0.78 -> [339] ~greater(zero, growth_rate(efficient_producers, skolem_T2121))
% 1.81/0.78
% 1.81/0.78 [339] Rewrite : ~greater(zero, growth_rate(efficient_producers, skolem_T2121))
% 1.81/0.78 -> [347] ((environment(E8_0_-1) & subpopulations(efficient_producers, S210_0_-1, E8_0_-1, skolem_T2121)) => greater_or_equal(growth_rate(efficient_producers, skolem_T2121), zero))
% 1.81/0.78
% 1.81/0.78 [347] BETA_IMPLY : ((environment(E8_0_-1) & subpopulations(efficient_producers, S210_0_-1, E8_0_-1, skolem_T2121)) => greater_or_equal(growth_rate(efficient_producers, skolem_T2121), zero))
% 1.81/0.78 -> [348] ~(environment(E8_0_-1) & subpopulations(efficient_producers, S210_0_-1, E8_0_-1, skolem_T2121))
% 1.81/0.78 -> [349] greater_or_equal(growth_rate(efficient_producers, skolem_T2121), zero)
% 1.81/0.78
% 1.81/0.78 [349] CLOSURE : greater_or_equal(growth_rate(efficient_producers, skolem_T2121), zero)
% 1.81/0.78
% 1.81/0.78 [348] BETA_NOT_AND : ~(environment(E8_0_-1) & subpopulations(first_movers, S210_0_-1, E8_0_-1, skolem_T2121))
% 1.81/0.78 -> [351] ~environment(E8_0_-1)
% 1.81/0.78 -> [352] ~subpopulations(first_movers, S210_0_-1, E8_0_-1, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [351] CLOSURE : ~environment(E8_0_-1)
% 1.81/0.78
% 1.81/0.78 [352] CLOSURE : ~subpopulations(first_movers, S210_0_-1, E8_0_-1, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [338] BETA_NOT_AND : ~(((environment(skolem_E2020) & in_environment(skolem_E2020, skolem_T2121)) & ~greater(zero, growth_rate(first_movers, skolem_T2121))) & greater(resilience(efficient_producers), resilience(first_movers)))
% 1.81/0.78 -> [357] ~((environment(skolem_E2020) & in_environment(skolem_E2020, skolem_T2121)) & ~greater(zero, growth_rate(first_movers, skolem_T2121)))
% 1.81/0.78 -> [358] ~greater(resilience(efficient_producers), resilience(first_movers))
% 1.81/0.78
% 1.81/0.78 [357] BETA_NOT_AND : ~((environment(skolem_E2020) & in_environment(skolem_E2020, skolem_T2121)) & ~greater(zero, growth_rate(first_movers, skolem_T2121)))
% 1.81/0.78 -> [359] ~(environment(skolem_E2020) & in_environment(skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [360] ~~greater(zero, growth_rate(first_movers, skolem_T2121))
% 1.81/0.78
% 1.81/0.78 [359] BETA_NOT_AND : ~(environment(skolem_E2020) & in_environment(skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [361] ~environment(skolem_E2020)
% 1.81/0.78 -> [362] ~in_environment(skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [361] CLOSURE : ~environment(skolem_E2020)
% 1.81/0.78
% 1.81/0.78 [362] CLOSURE : ~in_environment(skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [363] ALPHA_NOT_IMPLY : ~((environment(E8_0_-1) & subpopulations(first_movers, S210_0_-1, E8_0_-1, skolem_T2121)) => greater_or_equal(growth_rate(first_movers, skolem_T2121), zero))
% 1.81/0.78 -> [367] (environment(E8_0_-1) & subpopulations(first_movers, S210_0_-1, E8_0_-1, skolem_T2121)), ~greater_or_equal(growth_rate(first_movers, skolem_T2121), zero)
% 1.81/0.78
% 1.81/0.78 [367] ALPHA_AND : (environment(E8_0_-1) & subpopulations(first_movers, S210_0_-1, E8_0_-1, skolem_T2121))
% 1.81/0.78 -> [368] environment(E8_0_-1), subpopulations(first_movers, S210_0_-1, E8_0_-1, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [368] CLOSURE : (environment(E8_0_-1) & subpopulations(first_movers, S210_0_-1, E8_0_-1, skolem_T2121))
% 1.81/0.78
% 1.81/0.78 [358] CLOSURE : ~greater(resilience(efficient_producers), resilience(first_movers))
% 1.81/0.78
% 1.81/0.78 [254] BETA_NOT_AND : ~(environment(skolem_E2020) & subpopulations(efficient_producers, first_movers, skolem_E2020, skolem_T2121))
% 1.81/0.78 -> [369] ~environment(skolem_E2020)
% 1.81/0.78 -> [370] ~subpopulations(efficient_producers, first_movers, skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [370] CLOSURE : ~subpopulations(efficient_producers, first_movers, skolem_E2020, skolem_T2121)
% 1.81/0.78
% 1.81/0.78 [369] CLOSURE : ~environment(skolem_E2020)
% 1.81/0.78
% 1.81/0.78 % SZS output end Proof for theBenchmark.p
% 1.81/0.78 [0.446022s][1][Res] 3122 goroutines created
% 1.81/0.78 ==== Result ====
% 1.81/0.78 [0.446046s][1][Res] VALID
% 1.81/0.78 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------