TSTP Solution File: MGT020+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT020+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 : n032.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 22:26:54 EDT 2022
% Result : Theorem 10.43s 10.68s
% Output : Proof 10.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.08 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Thu Jun 9 12:30:07 EDT 2022
% 0.07/0.27 % CPUTime :
% 10.43/10.68 % SZS status Theorem
% 10.43/10.68 (* PROOF-FOUND *)
% 10.43/10.68 (* BEGIN-PROOF *)
% 10.43/10.68 % SZS output start Proof
% 10.43/10.68 1. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.43/10.68 2. (subpopulations (first_movers) (efficient_producers) T_0 T_1) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_1)) ### Axiom
% 10.43/10.68 3. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.43/10.68 4. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.43/10.68 5. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.43/10.68 6. (-. (greater_or_equal (initial_FM_EP T_0) (start_time T_0))) (greater_or_equal (initial_FM_EP T_0) (start_time T_0)) ### Axiom
% 10.43/10.68 7. ((environment T_0) => (greater_or_equal (initial_FM_EP T_0) (start_time T_0))) (-. (greater_or_equal (initial_FM_EP T_0) (start_time T_0))) (environment T_0) ### Imply 5 6
% 10.43/10.68 8. (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (environment T_0) (-. (greater_or_equal (initial_FM_EP T_0) (start_time T_0))) ### All 7
% 10.43/10.68 9. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.43/10.68 10. (subpopulations (first_movers) (efficient_producers) T_0 T_1) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_1)) ### Axiom
% 10.43/10.68 11. (-. (greater_or_equal T_1 (initial_FM_EP T_0))) (greater_or_equal T_1 (initial_FM_EP T_0)) ### Axiom
% 10.43/10.68 12. ((subpopulations (first_movers) (efficient_producers) T_0 T_1) => (greater_or_equal T_1 (initial_FM_EP T_0))) (-. (greater_or_equal T_1 (initial_FM_EP T_0))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) ### Imply 10 11
% 10.43/10.68 13. (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T_1) => (greater_or_equal T_1 (initial_FM_EP T_0)))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (-. (greater_or_equal T_1 (initial_FM_EP T_0))) ### And 12
% 10.43/10.68 14. ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T_1) => (greater_or_equal T_1 (initial_FM_EP T_0))))) (-. (greater_or_equal T_1 (initial_FM_EP T_0))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### Imply 9 13
% 10.43/10.68 15. (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (-. (greater_or_equal T_1 (initial_FM_EP T_0))) ### All 14
% 10.43/10.68 16. (-. (greater T_1 (initial_FM_EP T_0))) (greater T_1 (initial_FM_EP T_0)) ### Axiom
% 10.43/10.68 17. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.43/10.68 18. ((first_movers) != (first_movers)) ### NotEqual
% 10.43/10.68 19. (T_1 = (initial_FM_EP T_0)) ((initial_FM_EP T_0) != T_1) ### Sym(=)
% 10.43/10.68 20. ((disbanding_rate (first_movers) (initial_FM_EP T_0)) != (disbanding_rate (first_movers) T_1)) (T_1 = (initial_FM_EP T_0)) ### NotEqual 18 19
% 10.43/10.68 21. ((efficient_producers) != (efficient_producers)) ### NotEqual
% 10.43/10.68 22. (T_1 = (initial_FM_EP T_0)) ((initial_FM_EP T_0) != T_1) ### Sym(=)
% 10.43/10.68 23. ((disbanding_rate (efficient_producers) (initial_FM_EP T_0)) != (disbanding_rate (efficient_producers) T_1)) (T_1 = (initial_FM_EP T_0)) ### NotEqual 21 22
% 10.43/10.68 24. (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (greater (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0))) (T_1 = (initial_FM_EP T_0)) ### P-NotP 20 23
% 10.43/10.68 25. ((environment T_0) => (greater (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))) (T_1 = (initial_FM_EP T_0)) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (environment T_0) ### Imply 17 24
% 10.43/10.68 26. (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (environment T_0) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (T_1 = (initial_FM_EP T_0)) ### All 25
% 10.43/10.68 27. ((greater_or_equal T_1 (initial_FM_EP T_0)) => ((greater T_1 (initial_FM_EP T_0)) \/ (T_1 = (initial_FM_EP T_0)))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater T_1 (initial_FM_EP T_0))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) ### DisjTree 15 16 26
% 10.43/10.68 28. (All Y, ((greater_or_equal T_1 Y) => ((greater T_1 Y) \/ (T_1 = Y)))) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (-. (greater T_1 (initial_FM_EP T_0))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) ### All 27
% 10.43/10.68 29. (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater T_1 (initial_FM_EP T_0))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) ### All 28
% 10.43/10.68 30. (in_environment T_0 T_1) (-. (in_environment T_0 T_1)) ### Axiom
% 10.43/10.68 31. (-. (in_environment T_0 (initial_FM_EP T_0))) (in_environment T_0 (initial_FM_EP T_0)) ### Axiom
% 10.43/10.68 32. (((environment T_0) /\ ((greater_or_equal (initial_FM_EP T_0) (start_time T_0)) /\ ((greater T_1 (initial_FM_EP T_0)) /\ (in_environment T_0 T_1)))) => (in_environment T_0 (initial_FM_EP T_0))) (-. (in_environment T_0 (initial_FM_EP T_0))) (in_environment T_0 T_1) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (environment T_0) ### DisjTree 4 8 29 30 31
% 10.43/10.68 33. (All T2, (((environment T_0) /\ ((greater_or_equal (initial_FM_EP T_0) (start_time T_0)) /\ ((greater T2 (initial_FM_EP T_0)) /\ (in_environment T_0 T2)))) => (in_environment T_0 (initial_FM_EP T_0)))) (environment T_0) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (in_environment T_0 T_1) (-. (in_environment T_0 (initial_FM_EP T_0))) ### All 32
% 10.53/10.71 34. (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) (-. (in_environment T_0 (initial_FM_EP T_0))) (in_environment T_0 T_1) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (environment T_0) ### All 33
% 10.53/10.71 35. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.53/10.71 36. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.53/10.71 37. (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (-. (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) ### Axiom
% 10.53/10.71 38. (-. (greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0))) (greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0)) ### Axiom
% 10.53/10.71 39. ((subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) => (greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0))) (-. (greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0))) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) ### Imply 37 38
% 10.53/10.71 40. (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) => (greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0)))) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (-. (greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0))) ### And 39
% 10.53/10.71 41. ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) => (greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0))))) (-. (greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0))) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (environment T_0) ### Imply 36 40
% 10.53/10.71 42. (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (-. (greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0))) ### All 41
% 10.53/10.71 43. (subpopulations (first_movers) (efficient_producers) T_0 T_1) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_1)) ### Axiom
% 10.53/10.71 44. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.53/10.71 45. (-. (greater (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))) (greater (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0))) ### Axiom
% 10.53/10.71 46. ((environment T_0) => (greater (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))) (-. (greater (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))) (environment T_0) ### Imply 44 45
% 10.53/10.71 47. (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (environment T_0) (-. (greater (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))) ### All 46
% 10.53/10.71 48. (environment T_0) (-. (environment T_0)) ### Axiom
% 10.53/10.71 49. (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (-. (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) ### Axiom
% 10.53/10.71 50. (decreases (difference (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))) (-. (decreases (difference (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0))))) ### Axiom
% 10.53/10.71 51. (((environment T_0) /\ (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) => (-. (decreases (difference (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))))) (decreases (difference (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (environment T_0) ### DisjTree 48 49 50
% 10.53/10.71 52. (All T, (((environment T_0) /\ (subpopulations (first_movers) (efficient_producers) T_0 T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (decreases (difference (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))) ### All 51
% 10.53/10.71 53. (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (decreases (difference (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0)))) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (environment T_0) ### All 52
% 10.53/10.71 54. (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)) ### Axiom
% 10.53/10.71 55. (((environment T_0) /\ ((greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0)) /\ ((greater_or_equal T_1 (initial_FM_EP T_0)) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T_1) /\ (greater (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0))))))) => ((-. (decreases (difference (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0))))) => (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (environment T_0) ### DisjTree 35 42 15 43 47 53 54
% 10.53/10.75 56. (All T2, (((environment T_0) /\ ((greater_or_equal (initial_FM_EP T_0) (initial_FM_EP T_0)) /\ ((greater_or_equal T2 (initial_FM_EP T_0)) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T2) /\ (greater (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0))))))) => ((-. (decreases (difference (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0))))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2))))) (environment T_0) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) ### All 55
% 10.53/10.75 57. (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal (initial_FM_EP T_0) T1) /\ ((greater_or_equal T2 (initial_FM_EP T_0)) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) (initial_FM_EP T_0)) (disbanding_rate (efficient_producers) (initial_FM_EP T_0))))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2)))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (environment T_0) ### All 56
% 10.53/10.75 58. (All T, (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2))))))) (environment T_0) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0)) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) ### All 57
% 10.53/10.75 59. ((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All T, (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2))))))) (environment T_0) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (in_environment T_0 T_1) (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) ### Imply 34 58
% 10.53/10.75 60. (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 zenon_X2) => (greater_or_equal zenon_X2 (initial_FM_EP T_0)))) (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) (in_environment T_0 T_1) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (environment T_0) (All T, (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2))))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) ### And 59
% 10.53/10.75 61. ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 zenon_X2) => (greater_or_equal zenon_X2 (initial_FM_EP T_0))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All T, (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2))))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (in_environment T_0 T_1) (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) (environment T_0) ### Imply 3 60
% 10.53/10.76 62. (environment T_0) (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) (in_environment T_0 T_1) (All T, ((environment T_0) => (((in_environment T_0 (initial_FM_EP T_0)) => (subpopulations (first_movers) (efficient_producers) T_0 (initial_FM_EP T_0))) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) => (greater_or_equal T (initial_FM_EP T_0)))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All T, (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2))))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) ### All 61
% 10.53/10.76 63. (All E, (All T, ((environment E) => (((in_environment E (initial_FM_EP E)) => (subpopulations (first_movers) (efficient_producers) E (initial_FM_EP E))) /\ ((subpopulations (first_movers) (efficient_producers) E T) => (greater_or_equal T (initial_FM_EP E))))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All T, (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2))))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (in_environment T_0 T_1) (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) (environment T_0) ### All 62
% 10.53/10.76 64. (All E, (All T, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) E T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2)))))))) (environment T_0) (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) (in_environment T_0 T_1) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, (All T, ((environment E) => (((in_environment E (initial_FM_EP E)) => (subpopulations (first_movers) (efficient_producers) E (initial_FM_EP E))) /\ ((subpopulations (first_movers) (efficient_producers) E T) => (greater_or_equal T (initial_FM_EP E))))))) ### All 63
% 10.53/10.76 65. (((environment T_0) /\ (subpopulations (first_movers) (efficient_producers) T_0 T_1)) => (in_environment T_0 T_1)) (All E, (All T, ((environment E) => (((in_environment E (initial_FM_EP E)) => (subpopulations (first_movers) (efficient_producers) E (initial_FM_EP E))) /\ ((subpopulations (first_movers) (efficient_producers) E T) => (greater_or_equal T (initial_FM_EP E))))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) (All E, (All T, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) E T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2)))))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### DisjTree 1 2 64
% 10.53/10.77 66. (All T, (((environment T_0) /\ (subpopulations (first_movers) (efficient_producers) T_0 T)) => (in_environment T_0 T))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All E, (All T, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) E T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2)))))))) (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, (All T, ((environment E) => (((in_environment E (initial_FM_EP E)) => (subpopulations (first_movers) (efficient_producers) E (initial_FM_EP E))) /\ ((subpopulations (first_movers) (efficient_producers) E T) => (greater_or_equal T (initial_FM_EP E))))))) ### All 65
% 10.53/10.77 67. (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (in_environment E T)))) (All E, (All T, ((environment E) => (((in_environment E (initial_FM_EP E)) => (subpopulations (first_movers) (efficient_producers) E (initial_FM_EP E))) /\ ((subpopulations (first_movers) (efficient_producers) E T) => (greater_or_equal T (initial_FM_EP E))))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (All T1, (All T2, (((environment T_0) /\ ((greater_or_equal T1 (start_time T_0)) /\ ((greater T2 T1) /\ (in_environment T_0 T2)))) => (in_environment T_0 T1)))) (All E, (All T, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) E T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2)))))))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### All 66
% 10.53/10.77 68. (All E, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T1 (start_time E)) /\ ((greater T2 T1) /\ (in_environment E T2)))) => (in_environment E T1))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (All E, (All T, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) E T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2)))))))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (-. (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, (All T, ((environment E) => (((in_environment E (initial_FM_EP E)) => (subpopulations (first_movers) (efficient_producers) E (initial_FM_EP E))) /\ ((subpopulations (first_movers) (efficient_producers) E T) => (greater_or_equal T (initial_FM_EP E))))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (in_environment E T)))) ### All 67
% 10.53/10.77 69. (-. (((environment T_0) /\ (subpopulations (first_movers) (efficient_producers) T_0 T_1)) => (greater (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (in_environment E T)))) (All E, (All T, ((environment E) => (((in_environment E (initial_FM_EP E)) => (subpopulations (first_movers) (efficient_producers) E (initial_FM_EP E))) /\ ((subpopulations (first_movers) (efficient_producers) E T) => (greater_or_equal T (initial_FM_EP E))))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (All E, (All T, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) E T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2)))))))) (All E, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T1 (start_time E)) /\ ((greater T2 T1) /\ (in_environment E T2)))) => (in_environment E T1))))) ### ConjTree 68
% 10.53/10.77 70. (-. (All T, (((environment T_0) /\ (subpopulations (first_movers) (efficient_producers) T_0 T)) => (greater (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))) (All E, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T1 (start_time E)) /\ ((greater T2 T1) /\ (in_environment E T2)))) => (in_environment E T1))))) (All E, (All T, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) E T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2)))))))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, (All T, ((environment E) => (((in_environment E (initial_FM_EP E)) => (subpopulations (first_movers) (efficient_producers) E (initial_FM_EP E))) /\ ((subpopulations (first_movers) (efficient_producers) E T) => (greater_or_equal T (initial_FM_EP E))))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (in_environment E T)))) ### NotAllEx 69
% 10.53/10.78 71. (-. (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (greater (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (in_environment E T)))) (All E, (All T, ((environment E) => (((in_environment E (initial_FM_EP E)) => (subpopulations (first_movers) (efficient_producers) E (initial_FM_EP E))) /\ ((subpopulations (first_movers) (efficient_producers) E T) => (greater_or_equal T (initial_FM_EP E))))))) (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (All E, ((environment E) => (greater_or_equal (initial_FM_EP E) (start_time E)))) (All X, (All Y, ((greater_or_equal X Y) => ((greater X Y) \/ (X = Y))))) (All E, ((environment E) => (greater (disbanding_rate (first_movers) (initial_FM_EP E)) (disbanding_rate (efficient_producers) (initial_FM_EP E))))) (All E, (All T, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T T1) /\ ((greater_or_equal T2 T) /\ ((subpopulations (first_movers) (efficient_producers) E T2) /\ (greater (disbanding_rate (first_movers) T1) (disbanding_rate (efficient_producers) T1)))))) => ((-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) => (greater (disbanding_rate (first_movers) T2) (disbanding_rate (efficient_producers) T2)))))))) (All E, (All T1, (All T2, (((environment E) /\ ((greater_or_equal T1 (start_time E)) /\ ((greater T2 T1) /\ (in_environment E T2)))) => (in_environment E T1))))) ### NotAllEx 70
% 10.53/10.78 % SZS output end Proof
% 10.53/10.78 (* END-PROOF *)
%------------------------------------------------------------------------------