TSTP Solution File: MGT036+2 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n003.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 1.15s 0.73s
% Output : Proof 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Sep 2 02:47:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000038s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.34 Start search
% 0.12/0.34 nb_step : 1 - limit : 6
% 0.12/0.34 Launch Gotab with destructive = true
% 1.15/0.73 % SZS output start Proof for theBenchmark.p
% 1.15/0.73 [0] ALPHA_AND : (! [E4_4, S15_5, S26_6, T7_7] : (((environment(E4_4) & subpopulations(S15_5, S26_6, E4_4, T7_7)) => subpopulations(S26_6, S15_5, E4_4, T7_7))) & ! [E8_8, T9_9] : (((environment(E8_8) & subpopulations(first_movers, efficient_producers, E8_8, T9_9)) => in_environment(E8_8, T9_9))) & ! [E14_14, S115_15, S216_16, T17_17] : (((environment(E14_14) & subpopulations(S115_15, S216_16, E14_14, T17_17)) => ((greater_or_equal(growth_rate(S216_16, T17_17), zero) & greater(zero, growth_rate(S115_15, T17_17))) <=> outcompetes(S216_16, S115_15, T17_17)))) & greater(resilience(efficient_producers), resilience(first_movers)) & ! [E18_18, S119_19, S220_20, T21_21] : (((((environment(E18_18) & in_environment(E18_18, T21_21)) & ~greater(zero, growth_rate(S119_19, T21_21))) & greater(resilience(S220_20), resilience(S119_19))) => ~greater(zero, growth_rate(S220_20, T21_21)))) & ~! [E22_22, T23_23] : (((environment(E22_22) & subpopulations(first_movers, efficient_producers, E22_22, T23_23)) => ~outcompetes(first_movers, efficient_producers, T23_23))))
% 1.15/0.73 -> [1] ! [E4_4, S15_5, S26_6, T7_7] : (((environment(E4_4) & subpopulations(S15_5, S26_6, E4_4, T7_7)) => subpopulations(S26_6, S15_5, E4_4, T7_7))), ! [E8_8, T9_9] : (((environment(E8_8) & subpopulations(first_movers, efficient_producers, E8_8, T9_9)) => in_environment(E8_8, T9_9))), ! [E14_14, S115_15, S216_16, T17_17] : (((environment(E14_14) & subpopulations(S115_15, S216_16, E14_14, T17_17)) => ((greater_or_equal(growth_rate(S216_16, T17_17), zero) & greater(zero, growth_rate(S115_15, T17_17))) <=> outcompetes(S216_16, S115_15, T17_17)))), greater(resilience(efficient_producers), resilience(first_movers)), ! [E18_18, S119_19, S220_20, T21_21] : (((((environment(E18_18) & in_environment(E18_18, T21_21)) & ~greater(zero, growth_rate(S119_19, T21_21))) & greater(resilience(S220_20), resilience(S119_19))) => ~greater(zero, growth_rate(S220_20, T21_21)))), ~! [E22_22, T23_23] : (((environment(E22_22) & subpopulations(first_movers, efficient_producers, E22_22, T23_23)) => ~outcompetes(first_movers, efficient_producers, T23_23)))
% 1.15/0.73
% 1.15/0.73 [1] DELTA_NOT_FORALL : ~! [E22_22, T23_23] : (((environment(E22_22) & subpopulations(first_movers, efficient_producers, E22_22, T23_23)) => ~outcompetes(first_movers, efficient_producers, T23_23)))
% 1.15/0.73 -> [2] ~((environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)) => ~outcompetes(first_movers, efficient_producers, skolem_T2323))
% 1.15/0.73
% 1.15/0.73 [2] ALPHA_NOT_IMPLY : ~((environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)) => ~outcompetes(first_movers, efficient_producers, skolem_T2323))
% 1.15/0.73 -> [3] (environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)), ~~outcompetes(first_movers, efficient_producers, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [3] ALPHA_AND : (environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [4] environment(skolem_E2222), subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [4] ALPHA_NOT_NOT : ~~outcompetes(first_movers, efficient_producers, skolem_T2323)
% 1.15/0.73 -> [5] outcompetes(first_movers, efficient_producers, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [5] GAMMA_FORALL : ! [E4_4, S15_5, S26_6, T7_7] : (((environment(E4_4) & subpopulations(S15_5, S26_6, E4_4, T7_7)) => subpopulations(S26_6, S15_5, E4_4, T7_7)))
% 1.15/0.73 -> [6] ((environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)) => subpopulations(efficient_producers, first_movers, skolem_E2222, skolem_T2323))
% 1.15/0.73
% 1.15/0.73 [6] BETA_IMPLY : ((environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)) => subpopulations(efficient_producers, first_movers, skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [7] ~(environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [8] subpopulations(efficient_producers, first_movers, skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [7] BETA_NOT_AND : ~(environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [9] ~environment(skolem_E2222)
% 1.15/0.73 -> [10] ~subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [10] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [9] CLOSURE : ~environment(skolem_E2222)
% 1.15/0.73
% 1.15/0.73 [8] GAMMA_FORALL : ! [E8_8, T9_9] : (((environment(E8_8) & subpopulations(first_movers, efficient_producers, E8_8, T9_9)) => in_environment(E8_8, T9_9)))
% 1.15/0.73 -> [11] ((environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)) => in_environment(skolem_E2222, skolem_T2323))
% 1.15/0.73
% 1.15/0.73 [11] BETA_IMPLY : ((environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)) => in_environment(skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [12] ~(environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [13] in_environment(skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [12] BETA_NOT_AND : ~(environment(skolem_E2222) & subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [14] ~environment(skolem_E2222)
% 1.15/0.73 -> [15] ~subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [14] CLOSURE : ~environment(skolem_E2222)
% 1.15/0.73
% 1.15/0.73 [15] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [16] BETA_IMPLY : ((environment(skolem_E2222) & subpopulations(efficient_producers, first_movers, skolem_E2222, skolem_T2323)) => ((greater_or_equal(growth_rate(first_movers, skolem_T2323), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2323))) <=> outcompetes(first_movers, efficient_producers, skolem_T2323)))
% 1.15/0.73 -> [151] ~(environment(skolem_E2222) & subpopulations(efficient_producers, first_movers, skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [152] ((greater_or_equal(growth_rate(first_movers, skolem_T2323), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2323))) <=> outcompetes(first_movers, efficient_producers, skolem_T2323))
% 1.15/0.73
% 1.15/0.73 [152] BETA_EQUIV : ((greater_or_equal(growth_rate(first_movers, skolem_T2323), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2323))) <=> outcompetes(first_movers, efficient_producers, skolem_T2323))
% 1.15/0.73 -> [155] ~(greater_or_equal(growth_rate(first_movers, skolem_T2323), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2323))), ~outcompetes(first_movers, efficient_producers, skolem_T2323)
% 1.15/0.73 -> [156] (greater_or_equal(growth_rate(first_movers, skolem_T2323), zero) & greater(zero, growth_rate(efficient_producers, skolem_T2323))), outcompetes(first_movers, efficient_producers, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [155] CLOSURE : ~outcompetes(first_movers, efficient_producers, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [157] ALPHA_NOT_IMPLY : ~((environment(E10_0_-1) & subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323)) => greater_or_equal(growth_rate(efficient_producers, skolem_T2323), zero))
% 1.15/0.73 -> [161] (environment(E10_0_-1) & subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323)), ~greater_or_equal(growth_rate(efficient_producers, skolem_T2323), zero)
% 1.15/0.73
% 1.15/0.73 [161] ALPHA_AND : (environment(E10_0_-1) & subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323))
% 1.15/0.73 -> [162] environment(E10_0_-1), subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [162] GAMMA_FORALL : ! [E18_18, S119_19, S220_20, T21_21] : (((((environment(E18_18) & in_environment(E18_18, T21_21)) & ~greater(zero, growth_rate(S119_19, T21_21))) & greater(resilience(S220_20), resilience(S119_19))) => ~greater(zero, growth_rate(S220_20, T21_21))))
% 1.15/0.73 -> [163] ((((environment(skolem_E2222) & in_environment(skolem_E2222, skolem_T2323)) & ~greater(zero, growth_rate(first_movers, skolem_T2323))) & greater(resilience(efficient_producers), resilience(first_movers))) => ~greater(zero, growth_rate(efficient_producers, skolem_T2323)))
% 1.15/0.73
% 1.15/0.73 [163] BETA_IMPLY : ((((environment(skolem_E2222) & in_environment(skolem_E2222, skolem_T2323)) & ~greater(zero, growth_rate(first_movers, skolem_T2323))) & greater(resilience(efficient_producers), resilience(first_movers))) => ~greater(zero, growth_rate(efficient_producers, skolem_T2323)))
% 1.15/0.73 -> [164] ~(((environment(skolem_E2222) & in_environment(skolem_E2222, skolem_T2323)) & ~greater(zero, growth_rate(first_movers, skolem_T2323))) & greater(resilience(efficient_producers), resilience(first_movers)))
% 1.15/0.73 -> [165] ~greater(zero, growth_rate(efficient_producers, skolem_T2323))
% 1.15/0.73
% 1.15/0.73 [165] Rewrite : ~greater(zero, growth_rate(efficient_producers, skolem_T2323))
% 1.15/0.73 -> [168] ((environment(E10_0_-1) & subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323)) => greater_or_equal(growth_rate(efficient_producers, skolem_T2323), zero))
% 1.15/0.73
% 1.15/0.73 [168] BETA_IMPLY : ((environment(E10_0_-1) & subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323)) => greater_or_equal(growth_rate(efficient_producers, skolem_T2323), zero))
% 1.15/0.73 -> [171] ~(environment(E10_0_-1) & subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323))
% 1.15/0.73 -> [172] greater_or_equal(growth_rate(efficient_producers, skolem_T2323), zero)
% 1.15/0.73
% 1.15/0.73 [172] CLOSURE : greater_or_equal(growth_rate(efficient_producers, skolem_T2323), zero)
% 1.15/0.73
% 1.15/0.73 [171] BETA_NOT_AND : ~(environment(E10_0_-1) & subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323))
% 1.15/0.73 -> [176] ~environment(E10_0_-1)
% 1.15/0.73 -> [177] ~subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [176] CLOSURE : ~environment(E10_0_-1)
% 1.15/0.73
% 1.15/0.73 [177] CLOSURE : ~subpopulations(efficient_producers, S212_0_-1, E10_0_-1, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [164] BETA_NOT_AND : ~(((environment(skolem_E2222) & in_environment(skolem_E2222, skolem_T2323)) & ~greater(zero, growth_rate(first_movers, skolem_T2323))) & greater(resilience(efficient_producers), resilience(first_movers)))
% 1.15/0.73 -> [192] ~((environment(skolem_E2222) & in_environment(skolem_E2222, skolem_T2323)) & ~greater(zero, growth_rate(first_movers, skolem_T2323)))
% 1.15/0.73 -> [193] ~greater(resilience(efficient_producers), resilience(first_movers))
% 1.15/0.73
% 1.15/0.73 [192] BETA_NOT_AND : ~((environment(skolem_E2222) & in_environment(skolem_E2222, skolem_T2323)) & ~greater(zero, growth_rate(first_movers, skolem_T2323)))
% 1.15/0.73 -> [194] ~(environment(skolem_E2222) & in_environment(skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [195] ~~greater(zero, growth_rate(first_movers, skolem_T2323))
% 1.15/0.73
% 1.15/0.73 [194] BETA_NOT_AND : ~(environment(skolem_E2222) & in_environment(skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [196] ~environment(skolem_E2222)
% 1.15/0.73 -> [197] ~in_environment(skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [196] CLOSURE : ~environment(skolem_E2222)
% 1.15/0.73
% 1.15/0.73 [197] CLOSURE : ~in_environment(skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [198] ALPHA_NOT_IMPLY : ~((environment(E10_0_-1) & subpopulations(first_movers, S212_0_-1, E10_0_-1, skolem_T2323)) => greater_or_equal(growth_rate(first_movers, skolem_T2323), zero))
% 1.15/0.73 -> [202] (environment(E10_0_-1) & subpopulations(first_movers, S212_0_-1, E10_0_-1, skolem_T2323)), ~greater_or_equal(growth_rate(first_movers, skolem_T2323), zero)
% 1.15/0.73
% 1.15/0.73 [202] ALPHA_AND : (environment(E10_0_-1) & subpopulations(first_movers, S212_0_-1, E10_0_-1, skolem_T2323))
% 1.15/0.73 -> [203] environment(E10_0_-1), subpopulations(first_movers, S212_0_-1, E10_0_-1, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [203] CLOSURE : (environment(E10_0_-1) & subpopulations(first_movers, S212_0_-1, E10_0_-1, skolem_T2323))
% 1.15/0.73
% 1.15/0.73 [193] CLOSURE : ~greater(resilience(efficient_producers), resilience(first_movers))
% 1.15/0.73
% 1.15/0.73 [151] BETA_NOT_AND : ~(environment(skolem_E2222) & subpopulations(efficient_producers, first_movers, skolem_E2222, skolem_T2323))
% 1.15/0.73 -> [204] ~environment(skolem_E2222)
% 1.15/0.73 -> [205] ~subpopulations(efficient_producers, first_movers, skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 [204] CLOSURE : ~environment(skolem_E2222)
% 1.15/0.73
% 1.15/0.73 [205] CLOSURE : ~subpopulations(efficient_producers, first_movers, skolem_E2222, skolem_T2323)
% 1.15/0.73
% 1.15/0.73 % SZS output end Proof for theBenchmark.p
% 1.15/0.73 [0.393795s][1][Res] 1702 goroutines created
% 1.15/0.73 ==== Result ====
% 1.15/0.73 [0.393844s][1][Res] VALID
% 1.15/0.73 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------