TSTP Solution File: MGT022+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : MGT022+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 : n022.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 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n022.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 11:31:49 EDT 2022
% 0.13/0.35 % 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. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.20/0.42 2. (subpopulations (first_movers) (efficient_producers) T_0 T_1) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_1)) ### Axiom
% 0.20/0.42 3. (greater (resilience (efficient_producers)) (resilience (first_movers))) (-. (greater (resilience (efficient_producers)) (resilience (first_movers)))) ### Axiom
% 0.20/0.42 4. (-. ((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) ((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) ### Axiom
% 0.20/0.42 5. (((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) /\ ((constant (resources T_0 T_1)) => (constant (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) (-. ((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) ### And 4
% 0.20/0.42 6. (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T_1) /\ (greater (resilience (efficient_producers)) (resilience (first_movers))))) => (((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) /\ ((constant (resources T_0 T_1)) => (constant (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))))) (-. ((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) (greater (resilience (efficient_producers)) (resilience (first_movers))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### DisjTree 1 2 3 5
% 0.20/0.42 7. (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (resilience (efficient_producers)) (resilience (first_movers))))) => (((decreases (resources T_0 T)) => (increases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) /\ ((constant (resources T_0 T)) => (constant (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (greater (resilience (efficient_producers)) (resilience (first_movers))) (-. ((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) ### All 6
% 0.20/0.42 8. (All S2, (All T, (((environment T_0) /\ ((subpopulations (first_movers) S2 T_0 T) /\ (greater (resilience S2) (resilience (first_movers))))) => (((decreases (resources T_0 T)) => (increases (difference (disbanding_rate (first_movers) T) (disbanding_rate S2 T)))) /\ ((constant (resources T_0 T)) => (constant (difference (disbanding_rate (first_movers) T) (disbanding_rate S2 T)))))))) (-. ((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) (greater (resilience (efficient_producers)) (resilience (first_movers))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### All 7
% 0.20/0.42 9. (All S1, (All S2, (All T, (((environment T_0) /\ ((subpopulations S1 S2 T_0 T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources T_0 T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources T_0 T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T))))))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (greater (resilience (efficient_producers)) (resilience (first_movers))) (-. ((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) ### All 8
% 0.20/0.42 10. (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources E T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources E T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))))))))) (-. ((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) (greater (resilience (efficient_producers)) (resilience (first_movers))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### All 9
% 0.20/0.42 11. (environment T_0) (-. (environment T_0)) ### Axiom
% 0.20/0.42 12. (subpopulations (first_movers) (efficient_producers) T_0 T_1) (-. (subpopulations (first_movers) (efficient_producers) T_0 T_1)) ### Axiom
% 0.20/0.42 13. (greater (resilience (efficient_producers)) (resilience (first_movers))) (-. (greater (resilience (efficient_producers)) (resilience (first_movers)))) ### Axiom
% 0.20/0.42 14. (constant (resources T_0 T_1)) (-. (constant (resources T_0 T_1))) ### Axiom
% 0.20/0.42 15. (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (-. (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) ### Axiom
% 0.20/0.42 16. (constant (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) ### Extension/test/mp_constant_not_decrease 15
% 0.20/0.42 17. ((constant (resources T_0 T_1)) => (constant (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (constant (resources T_0 T_1)) ### Imply 14 16
% 0.20/0.42 18. (((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) /\ ((constant (resources T_0 T_1)) => (constant (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) (constant (resources T_0 T_1)) (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) ### And 17
% 0.20/0.42 19. (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T_1) /\ (greater (resilience (efficient_producers)) (resilience (first_movers))))) => (((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) /\ ((constant (resources T_0 T_1)) => (constant (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))))) (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (constant (resources T_0 T_1)) (greater (resilience (efficient_producers)) (resilience (first_movers))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### DisjTree 11 12 13 18
% 0.20/0.42 20. (All T, (((environment T_0) /\ ((subpopulations (first_movers) (efficient_producers) T_0 T) /\ (greater (resilience (efficient_producers)) (resilience (first_movers))))) => (((decreases (resources T_0 T)) => (increases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) /\ ((constant (resources T_0 T)) => (constant (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (greater (resilience (efficient_producers)) (resilience (first_movers))) (constant (resources T_0 T_1)) (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) ### All 19
% 0.20/0.42 21. (All S2, (All T, (((environment T_0) /\ ((subpopulations (first_movers) S2 T_0 T) /\ (greater (resilience S2) (resilience (first_movers))))) => (((decreases (resources T_0 T)) => (increases (difference (disbanding_rate (first_movers) T) (disbanding_rate S2 T)))) /\ ((constant (resources T_0 T)) => (constant (difference (disbanding_rate (first_movers) T) (disbanding_rate S2 T)))))))) (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (constant (resources T_0 T_1)) (greater (resilience (efficient_producers)) (resilience (first_movers))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### All 20
% 0.20/0.43 22. (All S1, (All S2, (All T, (((environment T_0) /\ ((subpopulations S1 S2 T_0 T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources T_0 T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources T_0 T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T))))))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (greater (resilience (efficient_producers)) (resilience (first_movers))) (constant (resources T_0 T_1)) (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) ### All 21
% 0.20/0.43 23. (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources E T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources E T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))))))))) (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))) (constant (resources T_0 T_1)) (greater (resilience (efficient_producers)) (resilience (first_movers))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### All 22
% 0.20/0.43 24. (-. (-. (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (greater (resilience (efficient_producers)) (resilience (first_movers))) (constant (resources T_0 T_1)) (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources E T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources E T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))))))))) ### NotNot 23
% 0.20/0.43 25. (-. ((constant (resources T_0 T_1)) => (-. (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))))) (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources E T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources E T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))))))))) (greater (resilience (efficient_producers)) (resilience (first_movers))) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (environment T_0) ### NotImply 24
% 0.20/0.43 26. (-. (((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) /\ ((constant (resources T_0 T_1)) => (-. (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1))))))) (environment T_0) (subpopulations (first_movers) (efficient_producers) T_0 T_1) (greater (resilience (efficient_producers)) (resilience (first_movers))) (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources E T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources E T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))))))))) ### NotAnd 10 25
% 0.20/0.43 27. (-. (((environment T_0) /\ (subpopulations (first_movers) (efficient_producers) T_0 T_1)) => (((decreases (resources T_0 T_1)) => (increases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))) /\ ((constant (resources T_0 T_1)) => (-. (decreases (difference (disbanding_rate (first_movers) T_1) (disbanding_rate (efficient_producers) T_1)))))))) (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources E T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources E T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))))))))) (greater (resilience (efficient_producers)) (resilience (first_movers))) ### ConjTree 26
% 0.20/0.43 28. (-. (All T, (((environment T_0) /\ (subpopulations (first_movers) (efficient_producers) T_0 T)) => (((decreases (resources T_0 T)) => (increases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) /\ ((constant (resources T_0 T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))))) (greater (resilience (efficient_producers)) (resilience (first_movers))) (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources E T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources E T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))))))))) ### NotAllEx 27
% 0.20/0.43 29. (-. (All E, (All T, (((environment E) /\ (subpopulations (first_movers) (efficient_producers) E T)) => (((decreases (resources E T)) => (increases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))) /\ ((constant (resources E T)) => (-. (decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))))))))) (All E, (All S1, (All S2, (All T, (((environment E) /\ ((subpopulations S1 S2 E T) /\ (greater (resilience S2) (resilience S1)))) => (((decreases (resources E T)) => (increases (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))) /\ ((constant (resources E T)) => (constant (difference (disbanding_rate S1 T) (disbanding_rate S2 T)))))))))) (greater (resilience (efficient_producers)) (resilience (first_movers))) ### NotAllEx 28
% 0.20/0.43 % SZS output end Proof
% 0.20/0.43 (* END-PROOF *)
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