TSTP Solution File: MGT036+3 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : MGT036+3 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n004.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 05:15:43 EDT 2022
% Result : Theorem 0.16s 0.46s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT036+3 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.11 % Command : goeland -dmt -presko -proof %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Sep 2 02:44:19 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 [DMT] DMT loaded with preskolemization
% 0.11/0.32 [EQ] equality loaded.
% 0.11/0.32 [0.000040s][1][MAIN] Problem : theBenchmark.p
% 0.11/0.33 Start search
% 0.11/0.33 nb_step : 1 - limit : 4
% 0.11/0.33 Launch Gotab with destructive = true
% 0.16/0.46 % SZS output start Proof for theBenchmark.p
% 0.16/0.46 [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, S19_9, S210_10, T11_11] : (((environment(E8_8) & subpopulations(S19_9, S210_10, E8_8, T11_11)) => ((greater_or_equal(growth_rate(S210_10, T11_11), zero) & greater(zero, growth_rate(S19_9, T11_11))) <=> outcompetes(S210_10, S19_9, T11_11)))) & ? [E12_12, T13_13] : ((((environment(E12_12) & subpopulations(first_movers, efficient_producers, E12_12, T13_13)) & greater_or_equal(growth_rate(first_movers, T13_13), zero)) & greater(zero, growth_rate(efficient_producers, T13_13)))) & ~? [E14_14, T15_15] : (((environment(E14_14) & subpopulations(first_movers, efficient_producers, E14_14, T15_15)) & outcompetes(first_movers, efficient_producers, T15_15))))
% 0.16/0.46 -> [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, S19_9, S210_10, T11_11] : (((environment(E8_8) & subpopulations(S19_9, S210_10, E8_8, T11_11)) => ((greater_or_equal(growth_rate(S210_10, T11_11), zero) & greater(zero, growth_rate(S19_9, T11_11))) <=> outcompetes(S210_10, S19_9, T11_11)))), ? [E12_12, T13_13] : ((((environment(E12_12) & subpopulations(first_movers, efficient_producers, E12_12, T13_13)) & greater_or_equal(growth_rate(first_movers, T13_13), zero)) & greater(zero, growth_rate(efficient_producers, T13_13)))), ~? [E14_14, T15_15] : (((environment(E14_14) & subpopulations(first_movers, efficient_producers, E14_14, T15_15)) & outcompetes(first_movers, efficient_producers, T15_15)))
% 0.16/0.46
% 0.16/0.46 [1] DELTA_EXISTS : ? [E12_12, T13_13] : ((((environment(E12_12) & subpopulations(first_movers, efficient_producers, E12_12, T13_13)) & greater_or_equal(growth_rate(first_movers, T13_13), zero)) & greater(zero, growth_rate(efficient_producers, T13_13))))
% 0.16/0.46 -> [2] (((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)) & greater_or_equal(growth_rate(first_movers, skolem_T1313), zero)) & greater(zero, growth_rate(efficient_producers, skolem_T1313)))
% 0.16/0.46
% 0.16/0.46 [2] ALPHA_AND : (((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)) & greater_or_equal(growth_rate(first_movers, skolem_T1313), zero)) & greater(zero, growth_rate(efficient_producers, skolem_T1313)))
% 0.16/0.46 -> [3] ((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)) & greater_or_equal(growth_rate(first_movers, skolem_T1313), zero)), greater(zero, growth_rate(efficient_producers, skolem_T1313))
% 0.16/0.46
% 0.16/0.46 [3] ALPHA_AND : ((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)) & greater_or_equal(growth_rate(first_movers, skolem_T1313), zero))
% 0.16/0.46 -> [4] (environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)), greater_or_equal(growth_rate(first_movers, skolem_T1313), zero)
% 0.16/0.46
% 0.16/0.46 [4] ALPHA_AND : (environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313))
% 0.16/0.46 -> [5] environment(skolem_E1212), subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [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)))
% 0.16/0.46 -> [6] ((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)) => subpopulations(efficient_producers, first_movers, skolem_E1212, skolem_T1313))
% 0.16/0.46
% 0.16/0.46 [6] BETA_IMPLY : ((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)) => subpopulations(efficient_producers, first_movers, skolem_E1212, skolem_T1313))
% 0.16/0.46 -> [7] ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313))
% 0.16/0.46 -> [8] subpopulations(efficient_producers, first_movers, skolem_E1212, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [7] BETA_NOT_AND : ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313))
% 0.16/0.46 -> [9] ~environment(skolem_E1212)
% 0.16/0.46 -> [10] ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [9] CLOSURE : ~environment(skolem_E1212)
% 0.16/0.46
% 0.16/0.46 [10] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [8] GAMMA_FORALL : ! [E8_8, S19_9, S210_10, T11_11] : (((environment(E8_8) & subpopulations(S19_9, S210_10, E8_8, T11_11)) => ((greater_or_equal(growth_rate(S210_10, T11_11), zero) & greater(zero, growth_rate(S19_9, T11_11))) <=> outcompetes(S210_10, S19_9, T11_11))))
% 0.16/0.46 -> [11] ((environment(skolem_E1212) & subpopulations(efficient_producers, first_movers, skolem_E1212, skolem_T1313)) => ((greater_or_equal(growth_rate(first_movers, skolem_T1313), zero) & greater(zero, growth_rate(efficient_producers, skolem_T1313))) <=> outcompetes(first_movers, efficient_producers, skolem_T1313)))
% 0.16/0.46
% 0.16/0.46 [11] BETA_IMPLY : ((environment(skolem_E1212) & subpopulations(efficient_producers, first_movers, skolem_E1212, skolem_T1313)) => ((greater_or_equal(growth_rate(first_movers, skolem_T1313), zero) & greater(zero, growth_rate(efficient_producers, skolem_T1313))) <=> outcompetes(first_movers, efficient_producers, skolem_T1313)))
% 0.16/0.46 -> [12] ~(environment(skolem_E1212) & subpopulations(efficient_producers, first_movers, skolem_E1212, skolem_T1313))
% 0.16/0.46 -> [13] ((greater_or_equal(growth_rate(first_movers, skolem_T1313), zero) & greater(zero, growth_rate(efficient_producers, skolem_T1313))) <=> outcompetes(first_movers, efficient_producers, skolem_T1313))
% 0.16/0.46
% 0.16/0.46 [13] BETA_EQUIV : ((greater_or_equal(growth_rate(first_movers, skolem_T1313), zero) & greater(zero, growth_rate(efficient_producers, skolem_T1313))) <=> outcompetes(first_movers, efficient_producers, skolem_T1313))
% 0.16/0.46 -> [14] ~(greater_or_equal(growth_rate(first_movers, skolem_T1313), zero) & greater(zero, growth_rate(efficient_producers, skolem_T1313))), ~outcompetes(first_movers, efficient_producers, skolem_T1313)
% 0.16/0.46 -> [15] (greater_or_equal(growth_rate(first_movers, skolem_T1313), zero) & greater(zero, growth_rate(efficient_producers, skolem_T1313))), outcompetes(first_movers, efficient_producers, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [14] BETA_NOT_AND : ~(greater_or_equal(growth_rate(first_movers, skolem_T1313), zero) & greater(zero, growth_rate(efficient_producers, skolem_T1313)))
% 0.16/0.46 -> [19] ~greater_or_equal(growth_rate(first_movers, skolem_T1313), zero)
% 0.16/0.46 -> [20] ~greater(zero, growth_rate(efficient_producers, skolem_T1313))
% 0.16/0.46
% 0.16/0.46 [20] CLOSURE : ~greater(zero, growth_rate(efficient_producers, skolem_T1313))
% 0.16/0.46
% 0.16/0.46 [19] CLOSURE : ~greater_or_equal(growth_rate(first_movers, skolem_T1313), zero)
% 0.16/0.46
% 0.16/0.46 [21] BETA_NOT_AND : ~((environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)) & outcompetes(first_movers, efficient_producers, skolem_T1313))
% 0.16/0.46 -> [26] ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313))
% 0.16/0.46 -> [27] ~outcompetes(first_movers, efficient_producers, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [27] CLOSURE : ~outcompetes(first_movers, efficient_producers, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [26] BETA_NOT_AND : ~(environment(skolem_E1212) & subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313))
% 0.16/0.46 -> [30] ~environment(skolem_E1212)
% 0.16/0.46 -> [31] ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [30] CLOSURE : ~environment(skolem_E1212)
% 0.16/0.46
% 0.16/0.46 [31] CLOSURE : ~subpopulations(first_movers, efficient_producers, skolem_E1212, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [12] BETA_NOT_AND : ~(environment(skolem_E1212) & subpopulations(efficient_producers, first_movers, skolem_E1212, skolem_T1313))
% 0.16/0.46 -> [70] ~environment(skolem_E1212)
% 0.16/0.46 -> [71] ~subpopulations(efficient_producers, first_movers, skolem_E1212, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 [70] CLOSURE : ~environment(skolem_E1212)
% 0.16/0.46
% 0.16/0.46 [71] CLOSURE : ~subpopulations(efficient_producers, first_movers, skolem_E1212, skolem_T1313)
% 0.16/0.46
% 0.16/0.46 % SZS output end Proof for theBenchmark.p
% 0.16/0.46 [0.133048s][1][Res] 638 goroutines created
% 0.16/0.46 ==== Result ====
% 0.16/0.46 [0.133101s][1][Res] VALID
% 0.16/0.46 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------