TSTP Solution File: MGT032+2 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT032+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 22:26:58 EDT 2022
% Result : Theorem 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 12:12:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 (* PROOF-FOUND *)
% 0.20/0.41 (* BEGIN-PROOF *)
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 1. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.20/0.41 2. (stable T_0) (-. (stable T_0)) ### Axiom
% 0.20/0.41 3. (in_environment T_0 T_1) (-. (in_environment T_0 T_1)) ### Axiom
% 0.20/0.41 4. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.20/0.41 5. (subpopulations (first_movers) (efficient_producers) T_0 T_2) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_2)) ### Axiom
% 0.20/0.41 6. (subpopulations (first_movers) (efficient_producers) T_0 T_2) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_2)) ### Axiom
% 0.20/0.41 7. (greater_or_equal T_2 T_1) (-. (greater_or_equal T_2 T_1)) ### Axiom
% 0.20/0.41 8. (-. (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
% 0.20/0.41 9. (((subpopulations (first_movers) (efficient_producers) T_0 T_2) /\ (greater_or_equal 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_or_equal T_2 T_1) (subpopulations (first_movers) (efficient_producers) T_0 T_2) ### DisjTree 6 7 8
% 0.20/0.41 10. (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) (subpopulations (first_movers) (efficient_producers) T_0 T_2) (greater_or_equal T_2 T_1) (-. (greater (growth_rate (efficient_producers) T_2) (growth_rate (first_movers) T_2))) ### All 9
% 0.20/0.41 11. (-. (selection_favors (efficient_producers) (first_movers) T_2)) (selection_favors (efficient_producers) (first_movers) T_2) ### Axiom
% 0.20/0.41 12. (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T_2) /\ (greater (growth_rate (efficient_producers) T_2) (growth_rate (first_movers) T_2)))) => (selection_favors (efficient_producers) (first_movers) T_2)) (-. (selection_favors (efficient_producers) (first_movers) T_2)) (greater_or_equal T_2 T_1) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) (subpopulations (first_movers) (efficient_producers) T_0 T_2) (environment T_0) ### DisjTree 4 5 10 11
% 0.20/0.41 13. (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) => (selection_favors (efficient_producers) (first_movers) T))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_2) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) (greater_or_equal T_2 T_1) (-. (selection_favors (efficient_producers) (first_movers) T_2)) ### All 12
% 0.20/0.41 14. (-. (((subpopulations (first_movers) (efficient_producers) T_0 T_2) /\ (greater_or_equal T_2 T_1)) => (selection_favors (efficient_producers) (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) (growth_rate (first_movers) T)))) (environment T_0) (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) => (selection_favors (efficient_producers) (first_movers) T))) ### ConjTree 13
% 0.20/0.41 15. (-. (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => (selection_favors (efficient_producers) (first_movers) T)))) (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) => (selection_favors (efficient_producers) (first_movers) T))) (environment T_0) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) ### NotAllEx 14
% 0.20/0.41 16. (-. ((in_environment T_0 T_1) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => (selection_favors (efficient_producers) (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) (growth_rate (first_movers) T)))) (environment T_0) (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) => (selection_favors (efficient_producers) (first_movers) T))) (in_environment T_0 T_1) ### NotAnd 3 15
% 0.20/0.41 17. (-. (Ex To, ((in_environment T_0 To) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T To)) => (selection_favors (efficient_producers) (first_movers) T)))))) (in_environment T_0 T_1) (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) => (selection_favors (efficient_producers) (first_movers) T))) (environment T_0) (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T T_1)) => (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) ### NotExists 16
% 0.20/0.41 18. ((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) (growth_rate (first_movers) T))))) (environment T_0) (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) => (selection_favors (efficient_producers) (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)) => (selection_favors (efficient_producers) (first_movers) T)))))) ### And 17
% 0.20/0.41 19. (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)) => (selection_favors (efficient_producers) (first_movers) T)))))) (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) => (selection_favors (efficient_producers) (first_movers) T))) (environment T_0) ### Exists 18
% 0.20/0.41 20. (((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 T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) => (selection_favors (efficient_producers) (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)) => (selection_favors (efficient_producers) (first_movers) T)))))) (stable T_0) (environment T_0) ### DisjTree 1 2 19
% 0.20/0.41 21. (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)) => (selection_favors (efficient_producers) (first_movers) T)))))) (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (growth_rate (efficient_producers) T) (growth_rate (first_movers) T)))) => (selection_favors (efficient_producers) (first_movers) T))) ### All 20
% 0.20/0.42 22. (All S2, (All T, (((environment T_0) /\ ((subpopulations (first_movers) S2 T_0 T) /\ (greater (growth_rate S2 T) (growth_rate (first_movers) T)))) => (selection_favors S2 (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)) => (selection_favors (efficient_producers) (first_movers) T)))))) (stable T_0) (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)))))))) ### All 21
% 0.20/0.42 23. (All S1, (All S2, (All T, (((environment T_0) /\ ((subpopulations S1 S2 T_0 T) /\ (greater (growth_rate S2 T) (growth_rate S1 T)))) => (selection_favors S2 S1 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)))))))) (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)) => (selection_favors (efficient_producers) (first_movers) T)))))) ### All 22
% 0.20/0.42 24. (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (growth_rate S2 T) (growth_rate S1 T)))) => (selection_favors S2 S1 T)))))) (-. (Ex To, ((in_environment T_0 To) /\ (All T, (((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater_or_equal T To)) => (selection_favors (efficient_producers) (first_movers) T)))))) (stable T_0) (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)))))))) ### All 23
% 0.20/0.42 25. (-. (((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)) => (selection_favors (efficient_producers) (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)))))))) (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (growth_rate S2 T) (growth_rate S1 T)))) => (selection_favors S2 S1 T)))))) ### ConjTree 24
% 0.20/0.42 26. (-. (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)) => (selection_favors (efficient_producers) (first_movers) T)))))))) (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (growth_rate S2 T) (growth_rate S1 T)))) => (selection_favors S2 S1 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 25
% 0.20/0.42 % SZS output end Proof
% 0.20/0.42 (* END-PROOF *)
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