TSTP Solution File: MGT022+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n032.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 22:30:59 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.09 % Command : run_zenon %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Thu Jun 9 11:28:22 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.13/0.39 (* PROOF-FOUND *)
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 (* BEGIN-PROOF *)
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 Theorem prove_l4 : (forall E : zenon_U, (forall T : zenon_U, (((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))))))))).
% 0.13/0.39 Proof.
% 0.13/0.39 apply NNPP. intro zenon_G.
% 0.13/0.39 apply (zenon_notallex_s (fun E : zenon_U => (forall T : zenon_U, (((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))))))))) zenon_G); [ zenon_intro zenon_H4; idtac ].
% 0.13/0.39 elim zenon_H4. zenon_intro zenon_TE_f. zenon_intro zenon_H6.
% 0.13/0.39 apply (zenon_notallex_s (fun T : zenon_U => (((environment zenon_TE_f)/\(subpopulations (first_movers) (efficient_producers) zenon_TE_f T))->(((decreases (resources zenon_TE_f T))->(increases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))/\((constant (resources zenon_TE_f T))->(~(decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))))))) zenon_H6); [ zenon_intro zenon_H7; idtac ].
% 0.13/0.39 elim zenon_H7. zenon_intro zenon_TT_i. zenon_intro zenon_H9.
% 0.13/0.39 apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.13/0.39 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.13/0.39 apply (zenon_notand_s _ _ zenon_Ha); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.13/0.39 generalize (a5 zenon_TE_f). zenon_intro zenon_H10.
% 0.13/0.39 generalize (zenon_H10 (first_movers)). zenon_intro zenon_H11.
% 0.13/0.39 generalize (zenon_H11 (efficient_producers)). zenon_intro zenon_H12.
% 0.13/0.39 generalize (zenon_H12 zenon_TT_i). zenon_intro zenon_H13.
% 0.13/0.39 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 0.13/0.39 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.13/0.39 exact (zenon_H17 zenon_Hd).
% 0.13/0.39 apply (zenon_notand_s _ _ zenon_H16); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ].
% 0.13/0.39 exact (zenon_H19 zenon_Hc).
% 0.13/0.39 exact (zenon_H18 a2).
% 0.13/0.39 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.13/0.39 exact (zenon_Hf zenon_H1b).
% 0.13/0.39 apply (zenon_notimply_s _ _ zenon_He). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.13/0.39 apply zenon_H1c. zenon_intro zenon_H1e.
% 0.13/0.39 generalize (mp_constant_not_decrease (difference (disbanding_rate (first_movers) zenon_TT_i) (disbanding_rate (efficient_producers) zenon_TT_i))). zenon_intro zenon_H1f.
% 0.13/0.39 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ].
% 0.13/0.39 generalize (a5 zenon_TE_f). zenon_intro zenon_H10.
% 0.13/0.39 generalize (zenon_H10 (first_movers)). zenon_intro zenon_H11.
% 0.13/0.39 generalize (zenon_H11 (efficient_producers)). zenon_intro zenon_H12.
% 0.13/0.39 generalize (zenon_H12 zenon_TT_i). zenon_intro zenon_H13.
% 0.13/0.39 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 0.13/0.39 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.13/0.39 exact (zenon_H17 zenon_Hd).
% 0.13/0.39 apply (zenon_notand_s _ _ zenon_H16); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ].
% 0.13/0.39 exact (zenon_H19 zenon_Hc).
% 0.13/0.39 exact (zenon_H18 a2).
% 0.13/0.39 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.13/0.39 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 0.13/0.39 exact (zenon_H23 zenon_H1d).
% 0.13/0.39 exact (zenon_H21 zenon_H22).
% 0.13/0.39 exact (zenon_H20 zenon_H1e).
% 0.13/0.39 Qed.
% 0.13/0.39 % SZS output end Proof
% 0.13/0.39 (* END-PROOF *)
% 0.13/0.39 nodes searched: 321
% 0.13/0.39 max branch formulas: 173
% 0.13/0.39 proof nodes created: 51
% 0.13/0.39 formulas created: 1053
% 0.13/0.39
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