TSTP Solution File: MGT032+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 22:31:03 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 12:24:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 (* PROOF-FOUND *)
% 0.18/0.51 % SZS status Theorem
% 0.18/0.51 (* BEGIN-PROOF *)
% 0.18/0.51 % SZS output start Proof
% 0.18/0.51 Theorem prove_t1 : (forall E : zenon_U, (((environment E)/\(stable E))->(exists To : zenon_U, ((in_environment E To)/\(forall T : zenon_U, (((subpopulations (first_movers) (efficient_producers) E T)/\(greater_or_equal T To))->(selection_favors (efficient_producers) (first_movers) T))))))).
% 0.18/0.51 Proof.
% 0.18/0.51 apply NNPP. intro zenon_G.
% 0.18/0.51 apply (zenon_notallex_s (fun E : zenon_U => (((environment E)/\(stable E))->(exists To : zenon_U, ((in_environment E To)/\(forall T : zenon_U, (((subpopulations (first_movers) (efficient_producers) E T)/\(greater_or_equal T To))->(selection_favors (efficient_producers) (first_movers) T))))))) zenon_G); [ zenon_intro zenon_H3; idtac ].
% 0.18/0.51 elim zenon_H3. zenon_intro zenon_TE_e. zenon_intro zenon_H5.
% 0.18/0.51 apply (zenon_notimply_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.18/0.51 apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.18/0.51 generalize (mp1_high_growth_rates zenon_TE_e). zenon_intro zenon_Ha.
% 0.18/0.51 generalize (zenon_Ha (first_movers)). zenon_intro zenon_Hb.
% 0.18/0.51 generalize (zenon_Hb (efficient_producers)). zenon_intro zenon_Hc.
% 0.18/0.51 generalize (l1 zenon_TE_e). zenon_intro zenon_Hd.
% 0.18/0.51 apply (zenon_imply_s _ _ zenon_Hd); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.18/0.51 apply (zenon_notand_s _ _ zenon_Hf); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ].
% 0.18/0.51 exact (zenon_H11 zenon_H9).
% 0.18/0.51 exact (zenon_H10 zenon_H8).
% 0.18/0.51 elim zenon_He. zenon_intro zenon_TTo_s. zenon_intro zenon_H13.
% 0.18/0.51 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.18/0.51 apply zenon_H6. exists zenon_TTo_s. apply NNPP. zenon_intro zenon_H16.
% 0.18/0.51 apply (zenon_notand_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.18/0.51 exact (zenon_H18 zenon_H15).
% 0.18/0.51 apply (zenon_notallex_s (fun T : zenon_U => (((subpopulations (first_movers) (efficient_producers) zenon_TE_e T)/\(greater_or_equal T zenon_TTo_s))->(selection_favors (efficient_producers) (first_movers) T))) zenon_H17); [ zenon_intro zenon_H19; idtac ].
% 0.18/0.51 elim zenon_H19. zenon_intro zenon_TT_ba. zenon_intro zenon_H1b.
% 0.18/0.51 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.18/0.51 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.18/0.51 generalize (zenon_Hc zenon_TT_ba). zenon_intro zenon_H20.
% 0.18/0.51 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.18/0.51 apply (zenon_notand_s _ _ zenon_H22); [ zenon_intro zenon_H11 | zenon_intro zenon_H23 ].
% 0.18/0.51 exact (zenon_H11 zenon_H9).
% 0.18/0.51 apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.18/0.51 exact (zenon_H25 zenon_H1f).
% 0.18/0.51 generalize (zenon_H14 zenon_TT_ba). zenon_intro zenon_H26.
% 0.18/0.51 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.18/0.51 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H25 | zenon_intro zenon_H29 ].
% 0.18/0.51 exact (zenon_H25 zenon_H1f).
% 0.18/0.51 exact (zenon_H29 zenon_H1e).
% 0.18/0.51 exact (zenon_H24 zenon_H27).
% 0.18/0.51 exact (zenon_H1c zenon_H21).
% 0.18/0.51 Qed.
% 0.18/0.51 % SZS output end Proof
% 0.18/0.51 (* END-PROOF *)
% 0.18/0.51 nodes searched: 175
% 0.18/0.51 max branch formulas: 141
% 0.18/0.51 proof nodes created: 48
% 0.18/0.51 formulas created: 943
% 0.18/0.51
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