TSTP Solution File: MGT028+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n026.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 : 600s
% DateTime : Sun Jul 17 22:26:57 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n026.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 : 600
% 0.12/0.34 % DateTime : Thu Jun 9 09:47:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 (* PROOF-FOUND *)
% 0.19/0.40 (* BEGIN-PROOF *)
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 1. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.19/0.40 2. (stable T_0) (-. (stable T_0)) ### Axiom
% 0.19/0.40 3. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.19/0.40 4. (stable T_0) (-. (stable T_0)) ### Axiom
% 0.19/0.40 5. (in_environment T_0 T_1) (-. (in_environment T_0 T_1)) ### Axiom
% 0.19/0.40 6. (subpopulations (first_movers) (efficient_producers) T_0 T_2) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_2)) ### Axiom
% 0.19/0.40 7. (greater_or_equal T_2 T_1) (-. (greater_or_equal T_2 T_1)) ### Axiom
% 0.19/0.40 8. (-. (greater (zero) (growth_rate (first_movers) T_2))) (greater (zero) (growth_rate (first_movers) T_2)) ### Axiom
% 0.19/0.40 9. ((greater (growth_rate (efficient_producers) T_2) (zero)) /\ (greater (zero) (growth_rate (first_movers) T_2))) (-. (greater (zero) (growth_rate (first_movers) T_2))) ### And 8
% 0.19/0.40 10. (((subpopulations (first_movers) (efficient_producers) T_0 T_2) /\ (greater_or_equal T_2 T_1)) => ((greater (growth_rate (efficient_producers) T_2) (zero)) /\ (greater (zero) (growth_rate (first_movers) T_2)))) (-. (greater (zero) (growth_rate (first_movers) T_2))) (greater_or_equal T_2 T_1) (subpopulations (first_movers) (efficient_producers) T_0 T_2) ### DisjTree 6 7 9
% 0.19/0.40 11. (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))) (subpopulations (first_movers) (efficient_producers) T_0 T_2) (greater_or_equal T_2 T_1) (-. (greater (zero) (growth_rate (first_movers) T_2))) ### All 10
% 0.19/0.40 12. (-. (((subpopulations (first_movers) (efficient_producers) T_0 T_2) /\ (greater_or_equal T_2 T_1)) => (greater (zero) (growth_rate (first_movers) T_2)))) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))) ### ConjTree 11
% 0.19/0.40 13. (-. (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => (greater (zero) (growth_rate (first_movers) T))))) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))) ### NotAllEx 12
% 0.19/0.40 14. (-. ((in_environment T_0 T_1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => (greater (zero) (growth_rate (first_movers) T)))))) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))) (in_environment T_0 T_1) ### NotAnd 5 13
% 0.19/0.40 15. (-. (Ex T1, ((in_environment T_0 T1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T1)) => (greater (zero) (growth_rate (first_movers) T))))))) (in_environment T_0 T_1) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))) ### NotExists 14
% 0.19/0.40 16. (-. (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T))))))) (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T)))))) ### Axiom
% 0.19/0.40 17. (((environment T_0) /\ ((stable T_0) /\ (Ex T1, ((in_environment T_0 T1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T1)) => (greater (zero) (growth_rate (first_movers) T)))))))) => (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T))))))) (-. (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T))))))) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))) (in_environment T_0 T_1) (stable T_0) (environment T_0) ### DisjTree 3 4 15 16
% 0.19/0.40 18. (All E, (((environment E) /\ ((stable E) /\ (Ex T1, ((in_environment E T1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T1)) => (greater (zero) (growth_rate (first_movers) T)))))))) => (Ex T2, ((greater T2 (appear (efficient_producers) E)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T)))))))) (environment T_0) (stable T_0) (in_environment T_0 T_1) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))) (-. (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T))))))) ### All 17
% 0.19/0.40 19. ((in_environment T_0 T_1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T)))))) (-. (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T))))))) (stable T_0) (environment T_0) (All E, (((environment E) /\ ((stable E) /\ (Ex T1, ((in_environment E T1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T1)) => (greater (zero) (growth_rate (first_movers) T)))))))) => (Ex T2, ((greater T2 (appear (efficient_producers) E)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T)))))))) ### And 18
% 0.19/0.40 20. (Ex To, ((in_environment T_0 To) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T To)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))))) (All E, (((environment E) /\ ((stable E) /\ (Ex T1, ((in_environment E T1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T1)) => (greater (zero) (growth_rate (first_movers) T)))))))) => (Ex T2, ((greater T2 (appear (efficient_producers) E)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T)))))))) (environment T_0) (stable T_0) (-. (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T))))))) ### Exists 19
% 0.19/0.40 21. (((environment T_0) /\ (stable T_0)) => (Ex To, ((in_environment T_0 To) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T To)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T)))))))) (-. (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T))))))) (All E, (((environment E) /\ ((stable E) /\ (Ex T1, ((in_environment E T1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T1)) => (greater (zero) (growth_rate (first_movers) T)))))))) => (Ex T2, ((greater T2 (appear (efficient_producers) E)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T)))))))) (stable T_0) (environment T_0) ### DisjTree 1 2 20
% 0.19/0.40 22. (All E, (((environment E) /\ (stable E)) => (Ex To, ((in_environment E To) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T To)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))))))) (environment T_0) (stable T_0) (All E, (((environment E) /\ ((stable E) /\ (Ex T1, ((in_environment E T1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T1)) => (greater (zero) (growth_rate (first_movers) T)))))))) => (Ex T2, ((greater T2 (appear (efficient_producers) E)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T)))))))) (-. (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T))))))) ### All 21
% 0.19/0.41 23. (-. (((environment T_0) /\ (stable T_0)) => (Ex T2, ((greater T2 (appear (efficient_producers) T_0)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T)))))))) (All E, (((environment E) /\ ((stable E) /\ (Ex T1, ((in_environment E T1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T1)) => (greater (zero) (growth_rate (first_movers) T)))))))) => (Ex T2, ((greater T2 (appear (efficient_producers) E)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T)))))))) (All E, (((environment E) /\ (stable E)) => (Ex To, ((in_environment E To) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T To)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))))))) ### ConjTree 22
% 0.19/0.41 24. (-. (All E, (((environment E) /\ (stable E)) => (Ex T2, ((greater T2 (appear (efficient_producers) E)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T))))))))) (All E, (((environment E) /\ (stable E)) => (Ex To, ((in_environment E To) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T To)) => ((greater (growth_rate (efficient_producers) T) (zero)) /\ (greater (zero) (growth_rate (first_movers) T))))))))) (All E, (((environment E) /\ ((stable E) /\ (Ex T1, ((in_environment E T1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T1)) => (greater (zero) (growth_rate (first_movers) T)))))))) => (Ex T2, ((greater T2 (appear (efficient_producers) E)) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater_or_equal T T2)) => (greater (zero) (growth_rate (first_movers) T)))))))) ### NotAllEx 23
% 0.19/0.41 % SZS output end Proof
% 0.19/0.41 (* END-PROOF *)
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