TSTP Solution File: MGT023+2 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT023+2 : 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 : n029.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 22:26:56 EDT 2022
% Result : Theorem 0.18s 0.39s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT023+2 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 9 10:25:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.39 % SZS status Theorem
% 0.18/0.39 (* PROOF-FOUND *)
% 0.18/0.39 (* BEGIN-PROOF *)
% 0.18/0.39 % SZS output start Proof
% 0.18/0.39 1. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.18/0.39 2. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.18/0.39 3. (stable T_0) (-. (stable T_0)) ### Axiom
% 0.18/0.39 4. (-. (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) (growth_rate (first_movers) T))))))) (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) (growth_rate (first_movers) T)))))) ### Axiom
% 0.18/0.39 5. (((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) (growth_rate (first_movers) T))))))) (-. (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) (growth_rate (first_movers) T))))))) (stable T_0) (environment T_0) ### DisjTree 2 3 4
% 0.18/0.39 6. (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) (growth_rate (first_movers) T)))))))) (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) (growth_rate (first_movers) T))))))) ### All 5
% 0.18/0.39 7. (T_0 != T_0) ### Refl(=)
% 0.18/0.39 8. (-. (greater (growth_rate (efficient_producers) T_1) (growth_rate (first_movers) T_1))) (greater (growth_rate (efficient_producers) T_1) (growth_rate (first_movers) T_1)) ### Axiom
% 0.18/0.39 9. (in_environment T_0 T_1) (-. (in_environment T_0 T_1)) ### Axiom
% 0.18/0.39 10. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.18/0.39 11. (subpopulations (first_movers) (efficient_producers) T_0 T_2) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_2)) ### Axiom
% 0.18/0.39 12. (greater T_2 T_1) (-. (greater T_2 T_1)) ### Axiom
% 0.18/0.39 13. (-. (greater (growth_rate (efficient_producers) T_2) (growth_rate (first_movers) T_2))) (greater (growth_rate (efficient_producers) T_2) (growth_rate (first_movers) T_2)) ### Axiom
% 0.18/0.39 14. (((subpopulations (first_movers) (efficient_producers) T_0 T_2) /\ (greater T_2 T_1)) => (greater (growth_rate (efficient_producers) T_2) (growth_rate (first_movers) T_2))) (-. (greater (growth_rate (efficient_producers) T_2) (growth_rate (first_movers) T_2))) (greater T_2 T_1) (subpopulations (first_movers) (efficient_producers) T_0 T_2) ### DisjTree 11 12 13
% 0.18/0.39 15. (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater T T_1)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) (subpopulations (first_movers) (efficient_producers) T_0 T_2) (greater T_2 T_1) (-. (greater (growth_rate (efficient_producers) T_2) (growth_rate (first_movers) T_2))) ### All 14
% 0.18/0.39 16. (T_1 != (critical_point T_0)) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater T T_1)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) (environment T_0) (in_environment T_0 T_1) (-. (greater (growth_rate (efficient_producers) T_1) (growth_rate (first_movers) T_1))) ### Extension/test/d1ctrp 8 9 10 15
% 0.18/0.39 17. (-. (in_environment T_0 (critical_point T_0))) (-. (greater (growth_rate (efficient_producers) T_1) (growth_rate (first_movers) T_1))) (in_environment T_0 T_1) (environment T_0) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater T T_1)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) ### P-NotP 7 16
% 0.18/0.39 18. ((in_environment T_0 T_1) /\ ((-. (greater (growth_rate (efficient_producers) T_1) (growth_rate (first_movers) T_1))) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater T T_1)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))))) (environment T_0) (-. (in_environment T_0 (critical_point T_0))) ### ConjTree 17
% 0.18/0.39 19. (Ex To, ((in_environment T_0 To) /\ ((-. (greater (growth_rate (efficient_producers) To) (growth_rate (first_movers) To))) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater T To)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T))))))) (-. (in_environment T_0 (critical_point T_0))) (environment T_0) ### Exists 18
% 0.18/0.39 20. (((environment 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) (growth_rate (first_movers) T))))))) => (Ex To, ((in_environment T_0 To) /\ ((-. (greater (growth_rate (efficient_producers) To) (growth_rate (first_movers) To))) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater T To)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))))))) (-. (in_environment T_0 (critical_point T_0))) (stable T_0) (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) (growth_rate (first_movers) T)))))))) (environment T_0) ### DisjTree 1 6 19
% 0.18/0.39 21. (All E, (((environment 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) (growth_rate (first_movers) T))))))) => (Ex To, ((in_environment E To) /\ ((-. (greater (growth_rate (efficient_producers) To) (growth_rate (first_movers) To))) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater T To)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T))))))))) (environment T_0) (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) (growth_rate (first_movers) T)))))))) (stable T_0) (-. (in_environment T_0 (critical_point T_0))) ### All 20
% 0.18/0.39 22. (-. (((environment T_0) /\ (stable T_0)) => (in_environment T_0 (critical_point T_0)))) (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) (growth_rate (first_movers) T)))))))) (All E, (((environment 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) (growth_rate (first_movers) T))))))) => (Ex To, ((in_environment E To) /\ ((-. (greater (growth_rate (efficient_producers) To) (growth_rate (first_movers) To))) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater T To)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T))))))))) ### ConjTree 21
% 0.18/0.39 23. (-. (All E, (((environment E) /\ (stable E)) => (in_environment E (critical_point E))))) (All E, (((environment 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) (growth_rate (first_movers) T))))))) => (Ex To, ((in_environment E To) /\ ((-. (greater (growth_rate (efficient_producers) To) (growth_rate (first_movers) To))) /\ (All T, (((subpopulations (first_movers) (efficient_producers) E T) /\ (greater T To)) => (greater (growth_rate (efficient_producers) T) (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) (growth_rate (first_movers) T)))))))) ### NotAllEx 22
% 0.18/0.39 % SZS output end Proof
% 0.18/0.39 (* END-PROOF *)
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