TSTP Solution File: MGT023+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : MGT023+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 : n025.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 22:26:55 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n025.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 09:45:05 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. (T_0 != T_0) ### Refl(=)
% 0.19/0.40 4. (-. (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
% 0.19/0.40 5. (in_environment T_0 T_1) (-. (in_environment T_0 T_1)) ### Axiom
% 0.19/0.40 6. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.19/0.40 7. (subpopulations (first_movers) (efficient_producers) T_0 T_2) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_2)) ### Axiom
% 0.19/0.40 8. (greater T_2 T_1) (-. (greater T_2 T_1)) ### Axiom
% 0.19/0.40 9. (-. (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
% 0.19/0.40 10. (((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 7 8 9
% 0.19/0.40 11. (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 10
% 0.19/0.40 12. (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 4 5 6 11
% 0.19/0.40 13. (-. (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 3 12
% 0.19/0.40 14. ((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 13
% 0.19/0.40 15. (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 14
% 0.19/0.40 16. (((environment T_0) /\ (stable T_0)) => (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) (environment T_0) ### DisjTree 1 2 15
% 0.19/0.40 17. (All E, (((environment E) /\ (stable E)) => (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) (stable T_0) (-. (in_environment T_0 (critical_point T_0))) ### All 16
% 0.19/0.40 18. (-. (((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) /\ ((-. (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 17
% 0.19/0.40 19. (-. (All E, (((environment E) /\ (stable E)) => (in_environment E (critical_point E))))) (All E, (((environment E) /\ (stable E)) => (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))))))))) ### NotAllEx 18
% 0.19/0.40 % SZS output end Proof
% 0.19/0.40 (* END-PROOF *)
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