TSTP Solution File: MGT039+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT039+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 : n020.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 22:27:02 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 07:58:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 (* PROOF-FOUND *)
% 0.20/0.42 (* BEGIN-PROOF *)
% 0.20/0.42 % SZS output start Proof
% 0.20/0.42 1. (observational_period T_0) (-. (observational_period T_0)) ### Axiom
% 0.20/0.42 2. (propagation_strategy (first_movers)) (-. (propagation_strategy (first_movers))) ### Axiom
% 0.20/0.42 3. (propagation_strategy (efficient_producers)) (-. (propagation_strategy (efficient_producers))) ### Axiom
% 0.20/0.42 4. (environment T_1) (-. (environment T_1)) ### Axiom
% 0.20/0.42 5. (environment T_1) (-. (environment T_1)) ### Axiom
% 0.20/0.42 6. (environment T_1) (-. (environment T_1)) ### Axiom
% 0.20/0.42 7. (observational_period T_0) (-. (observational_period T_0)) ### Axiom
% 0.20/0.42 8. (slow_change T_0) (-. (slow_change T_0)) ### Axiom
% 0.20/0.42 9. (environment T_1) (-. (environment T_1)) ### Axiom
% 0.20/0.42 10. (in_environment T_0 T_1) (-. (in_environment T_0 T_1)) ### Axiom
% 0.20/0.42 11. (environment T_1) (-. (environment T_1)) ### Axiom
% 0.20/0.42 12. (in_environment T_1 T_2) (-. (in_environment T_1 T_2)) ### Axiom
% 0.20/0.42 13. (-. (greater (end_time T_1) T_2)) (greater (end_time T_1) T_2) ### Axiom
% 0.20/0.42 14. ((end_time T_1) != T_2) ((end_time T_1) = T_2) ### Axiom
% 0.20/0.42 15. ((greater (end_time T_1) T_2) \/ ((end_time T_1) = T_2)) ((end_time T_1) != T_2) (-. (greater (end_time T_1) T_2)) ### Or 13 14
% 0.20/0.42 16. (greater_or_equal (end_time T_1) T_2) (-. (greater (end_time T_1) T_2)) ((end_time T_1) != T_2) ### Definition-Pseudo(greater_or_equal) 15
% 0.20/0.42 17. (((environment T_1) /\ (in_environment T_1 T_2)) => (greater_or_equal (end_time T_1) T_2)) ((end_time T_1) != T_2) (-. (greater (end_time T_1) T_2)) (in_environment T_1 T_2) (environment T_1) ### DisjTree 11 12 16
% 0.20/0.42 18. (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (environment T_1) (in_environment T_1 T_2) (-. (greater (end_time T_1) T_2)) ((end_time T_1) != T_2) ### All 17
% 0.20/0.42 19. ((critical_point T_1) != (critical_point T_1)) ### Refl(=)
% 0.20/0.42 20. (-. (greater (end_time T_1) (critical_point T_1))) (greater T_2 (critical_point T_1)) (in_environment T_1 T_2) (environment T_1) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) ### Trans 18 19
% 0.20/0.42 21. ((in_environment T_1 T_2) /\ (greater T_2 (critical_point T_1))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (environment T_1) (-. (greater (end_time T_1) (critical_point T_1))) ### And 20
% 0.20/0.42 22. (Ex T, ((in_environment T_1 T) /\ (greater T (critical_point T_1)))) (-. (greater (end_time T_1) (critical_point T_1))) (environment T_1) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) ### Exists 21
% 0.20/0.42 23. (((environment T_1) /\ (in_environment T_0 T_1)) => (Ex T, ((in_environment T_1 T) /\ (greater T (critical_point T_1))))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (-. (greater (end_time T_1) (critical_point T_1))) (in_environment T_0 T_1) (environment T_1) ### DisjTree 9 10 22
% 0.20/0.42 24. (All E, (((environment E) /\ (in_environment T_0 E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))) (environment T_1) (in_environment T_0 T_1) (-. (greater (end_time T_1) (critical_point T_1))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) ### All 23
% 0.20/0.42 25. (((observational_period T_0) /\ (slow_change T_0)) => (All E, (((environment E) /\ (in_environment T_0 E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E))))))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (-. (greater (end_time T_1) (critical_point T_1))) (in_environment T_0 T_1) (environment T_1) (slow_change T_0) (observational_period T_0) ### DisjTree 7 8 24
% 0.20/0.42 26. (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (observational_period T_0) (slow_change T_0) (environment T_1) (in_environment T_0 T_1) (-. (greater (end_time T_1) (critical_point T_1))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) ### All 25
% 0.20/0.42 27. ((start_time T_1) != (start_time T_1)) ### Refl(=)
% 0.20/0.42 28. (-. (greater (end_time T_1) (start_time T_1))) (greater (critical_point T_1) (start_time T_1)) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (in_environment T_0 T_1) (environment T_1) (slow_change T_0) (observational_period T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) ### Trans 26 27
% 0.20/0.42 29. ((start_time T_1) != (start_time T_1)) ### Refl(=)
% 0.20/0.42 30. (-. (greater (end_time T_1) (start_time T_1))) ((critical_point T_1) = (start_time T_1)) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (in_environment T_0 T_1) (environment T_1) (slow_change T_0) (observational_period T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) ### TransEq 26 26 29
% 0.20/0.42 31. ((greater (critical_point T_1) (start_time T_1)) \/ ((critical_point T_1) = (start_time T_1))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (observational_period T_0) (slow_change T_0) (environment T_1) (in_environment T_0 T_1) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (-. (greater (end_time T_1) (start_time T_1))) ### Or 28 30
% 0.20/0.42 32. (greater_or_equal (critical_point T_1) (start_time T_1)) (-. (greater (end_time T_1) (start_time T_1))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (in_environment T_0 T_1) (environment T_1) (slow_change T_0) (observational_period T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) ### Definition-Pseudo(greater_or_equal) 31
% 0.20/0.42 33. ((environment T_1) => (greater_or_equal (critical_point T_1) (start_time T_1))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (observational_period T_0) (slow_change T_0) (in_environment T_0 T_1) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (-. (greater (end_time T_1) (start_time T_1))) (environment T_1) ### Imply 6 32
% 0.20/0.42 34. (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (environment T_1) (-. (greater (end_time T_1) (start_time T_1))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (in_environment T_0 T_1) (slow_change T_0) (observational_period T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) ### All 33
% 0.20/0.42 35. (-. ((greater (end_time T_1) (start_time T_1)) \/ ((end_time T_1) = (start_time T_1)))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (observational_period T_0) (slow_change T_0) (in_environment T_0 T_1) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (environment T_1) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) ### NotOr 34
% 0.20/0.42 36. (-. (greater_or_equal (end_time T_1) (start_time T_1))) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (environment T_1) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (in_environment T_0 T_1) (slow_change T_0) (observational_period T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) ### Definition-Pseudo(greater_or_equal) 35
% 0.20/0.43 37. ((end_time T_1) != (end_time T_1)) ### Refl(=)
% 0.20/0.43 38. (-. ((greater (end_time T_1) (end_time T_1)) \/ ((end_time T_1) = (end_time T_1)))) ### NotOr 37
% 0.20/0.43 39. (-. (greater_or_equal (end_time T_1) (end_time T_1))) ### Definition-Pseudo(greater_or_equal) 38
% 0.20/0.43 40. (-. (in_environment T_1 (end_time T_1))) (in_environment T_1 (end_time T_1)) ### Axiom
% 0.20/0.43 41. (((environment T_1) /\ ((greater_or_equal (end_time T_1) (start_time T_1)) /\ (greater_or_equal (end_time T_1) (end_time T_1)))) => (in_environment T_1 (end_time T_1))) (-. (in_environment T_1 (end_time T_1))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (observational_period T_0) (slow_change T_0) (in_environment T_0 T_1) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (environment T_1) ### DisjTree 5 36 39 40
% 0.20/0.43 42. (All T, (((environment T_1) /\ ((greater_or_equal T (start_time T_1)) /\ (greater_or_equal (end_time T_1) T))) => (in_environment T_1 T))) (environment T_1) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (in_environment T_0 T_1) (slow_change T_0) (observational_period T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (-. (in_environment T_1 (end_time T_1))) ### All 41
% 0.20/0.43 43. (-. (selection_favors (efficient_producers) (first_movers) (end_time T_1))) (selection_favors (efficient_producers) (first_movers) (end_time T_1)) ### Axiom
% 0.20/0.43 44. (((environment T_1) /\ ((in_environment T_1 (end_time T_1)) /\ (greater (end_time T_1) (critical_point T_1)))) => (selection_favors (efficient_producers) (first_movers) (end_time T_1))) (-. (selection_favors (efficient_producers) (first_movers) (end_time T_1))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (observational_period T_0) (slow_change T_0) (in_environment T_0 T_1) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (All T, (((environment T_1) /\ ((greater_or_equal T (start_time T_1)) /\ (greater_or_equal (end_time T_1) T))) => (in_environment T_1 T))) (environment T_1) ### DisjTree 4 42 26 43
% 0.20/0.43 45. (All T, (((environment T_1) /\ ((in_environment T_1 T) /\ (greater T (critical_point T_1)))) => (selection_favors (efficient_producers) (first_movers) T))) (environment T_1) (All T, (((environment T_1) /\ ((greater_or_equal T (start_time T_1)) /\ (greater_or_equal (end_time T_1) T))) => (in_environment T_1 T))) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (in_environment T_0 T_1) (slow_change T_0) (observational_period T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (-. (selection_favors (efficient_producers) (first_movers) (end_time T_1))) ### All 44
% 0.20/0.43 46. (All E, (All T, (((environment E) /\ ((greater_or_equal T (start_time E)) /\ (greater_or_equal (end_time E) T))) => (in_environment E T)))) (-. (selection_favors (efficient_producers) (first_movers) (end_time T_1))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (observational_period T_0) (slow_change T_0) (in_environment T_0 T_1) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (environment T_1) (All T, (((environment T_1) /\ ((in_environment T_1 T) /\ (greater T (critical_point T_1)))) => (selection_favors (efficient_producers) (first_movers) T))) ### All 45
% 0.20/0.43 47. (All E, (All T, (((environment E) /\ ((in_environment E T) /\ (greater T (critical_point E)))) => (selection_favors (efficient_producers) (first_movers) T)))) (environment T_1) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (All T, (((environment T_1) /\ (in_environment T_1 T)) => (greater_or_equal (end_time T_1) T))) (in_environment T_0 T_1) (slow_change T_0) (observational_period T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (-. (selection_favors (efficient_producers) (first_movers) (end_time T_1))) (All E, (All T, (((environment E) /\ ((greater_or_equal T (start_time E)) /\ (greater_or_equal (end_time E) T))) => (in_environment E T)))) ### All 46
% 0.20/0.43 48. (All E, (All T, (((environment E) /\ (in_environment E T)) => (greater_or_equal (end_time E) T)))) (All E, (All T, (((environment E) /\ ((greater_or_equal T (start_time E)) /\ (greater_or_equal (end_time E) T))) => (in_environment E T)))) (-. (selection_favors (efficient_producers) (first_movers) (end_time T_1))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (observational_period T_0) (slow_change T_0) (in_environment T_0 T_1) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (environment T_1) (All E, (All T, (((environment E) /\ ((in_environment E T) /\ (greater T (critical_point E)))) => (selection_favors (efficient_producers) (first_movers) T)))) ### All 47
% 0.20/0.43 49. (-. (((environment T_1) /\ (in_environment T_0 T_1)) => (selection_favors (efficient_producers) (first_movers) (end_time T_1)))) (All E, (All T, (((environment E) /\ ((in_environment E T) /\ (greater T (critical_point E)))) => (selection_favors (efficient_producers) (first_movers) T)))) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (slow_change T_0) (observational_period T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (All E, (All T, (((environment E) /\ ((greater_or_equal T (start_time E)) /\ (greater_or_equal (end_time E) T))) => (in_environment E T)))) (All E, (All T, (((environment E) /\ (in_environment E T)) => (greater_or_equal (end_time E) T)))) ### ConjTree 48
% 0.20/0.43 50. (-. (All E, (((environment E) /\ (in_environment T_0 E)) => (selection_favors (efficient_producers) (first_movers) (end_time E))))) (All E, (All T, (((environment E) /\ (in_environment E T)) => (greater_or_equal (end_time E) T)))) (All E, (All T, (((environment E) /\ ((greater_or_equal T (start_time E)) /\ (greater_or_equal (end_time E) T))) => (in_environment E T)))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (observational_period T_0) (slow_change T_0) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (All E, (All T, (((environment E) /\ ((in_environment E T) /\ (greater T (critical_point E)))) => (selection_favors (efficient_producers) (first_movers) T)))) ### NotAllEx 49
% 0.20/0.43 51. (-. (selection_favors (efficient_producers) (first_movers) T_0)) (selection_favors (efficient_producers) (first_movers) T_0) ### Axiom
% 0.20/0.43 52. (((observational_period T_0) /\ ((propagation_strategy (first_movers)) /\ ((propagation_strategy (efficient_producers)) /\ (All E, (((environment E) /\ (in_environment T_0 E)) => (selection_favors (efficient_producers) (first_movers) (end_time E))))))) => (selection_favors (efficient_producers) (first_movers) T_0)) (-. (selection_favors (efficient_producers) (first_movers) T_0)) (All E, (All T, (((environment E) /\ ((in_environment E T) /\ (greater T (critical_point E)))) => (selection_favors (efficient_producers) (first_movers) T)))) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (slow_change T_0) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (All E, (All T, (((environment E) /\ ((greater_or_equal T (start_time E)) /\ (greater_or_equal (end_time E) T))) => (in_environment E T)))) (All E, (All T, (((environment E) /\ (in_environment E T)) => (greater_or_equal (end_time E) T)))) (propagation_strategy (efficient_producers)) (propagation_strategy (first_movers)) (observational_period T_0) ### DisjTree 1 2 3 50 51
% 0.20/0.43 53. (All P, (((observational_period P) /\ ((propagation_strategy (first_movers)) /\ ((propagation_strategy (efficient_producers)) /\ (All E, (((environment E) /\ (in_environment P E)) => (selection_favors (efficient_producers) (first_movers) (end_time E))))))) => (selection_favors (efficient_producers) (first_movers) P))) (observational_period T_0) (propagation_strategy (first_movers)) (propagation_strategy (efficient_producers)) (All E, (All T, (((environment E) /\ (in_environment E T)) => (greater_or_equal (end_time E) T)))) (All E, (All T, (((environment E) /\ ((greater_or_equal T (start_time E)) /\ (greater_or_equal (end_time E) T))) => (in_environment E T)))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (slow_change T_0) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (All E, (All T, (((environment E) /\ ((in_environment E T) /\ (greater T (critical_point E)))) => (selection_favors (efficient_producers) (first_movers) T)))) (-. (selection_favors (efficient_producers) (first_movers) T_0)) ### All 52
% 0.20/0.43 54. (-. (((observational_period T_0) /\ (slow_change T_0)) => (selection_favors (efficient_producers) (first_movers) T_0))) (All E, (All T, (((environment E) /\ ((in_environment E T) /\ (greater T (critical_point E)))) => (selection_favors (efficient_producers) (first_movers) T)))) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (All E, (All T, (((environment E) /\ ((greater_or_equal T (start_time E)) /\ (greater_or_equal (end_time E) T))) => (in_environment E T)))) (All E, (All T, (((environment E) /\ (in_environment E T)) => (greater_or_equal (end_time E) T)))) (propagation_strategy (efficient_producers)) (propagation_strategy (first_movers)) (All P, (((observational_period P) /\ ((propagation_strategy (first_movers)) /\ ((propagation_strategy (efficient_producers)) /\ (All E, (((environment E) /\ (in_environment P E)) => (selection_favors (efficient_producers) (first_movers) (end_time E))))))) => (selection_favors (efficient_producers) (first_movers) P))) ### ConjTree 53
% 0.20/0.43 55. (-. (All P, (((observational_period P) /\ (slow_change P)) => (selection_favors (efficient_producers) (first_movers) P)))) (All P, (((observational_period P) /\ ((propagation_strategy (first_movers)) /\ ((propagation_strategy (efficient_producers)) /\ (All E, (((environment E) /\ (in_environment P E)) => (selection_favors (efficient_producers) (first_movers) (end_time E))))))) => (selection_favors (efficient_producers) (first_movers) P))) (propagation_strategy (first_movers)) (propagation_strategy (efficient_producers)) (All E, (All T, (((environment E) /\ (in_environment E T)) => (greater_or_equal (end_time E) T)))) (All E, (All T, (((environment E) /\ ((greater_or_equal T (start_time E)) /\ (greater_or_equal (end_time E) T))) => (in_environment E T)))) (All P, (((observational_period P) /\ (slow_change P)) => (All E, (((environment E) /\ (in_environment P E)) => (Ex T, ((in_environment E T) /\ (greater T (critical_point E)))))))) (All E, ((environment E) => (greater_or_equal (critical_point E) (start_time E)))) (All E, (All T, (((environment E) /\ ((in_environment E T) /\ (greater T (critical_point E)))) => (selection_favors (efficient_producers) (first_movers) T)))) ### NotAllEx 54
% 0.20/0.43 % SZS output end Proof
% 0.20/0.43 (* END-PROOF *)
%------------------------------------------------------------------------------