TSTP Solution File: MGT023+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : MGT023+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 22:31:00 EDT 2022
% Result : Theorem 0.19s 0.50s
% 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
% 0.00/0.12 % Problem : MGT023+2 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.13 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n026.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 10:31:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 (* PROOF-FOUND *)
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 (* BEGIN-PROOF *)
% 0.19/0.50 % SZS output start Proof
% 0.19/0.50 Theorem prove_l5 : (forall E : zenon_U, (((environment E)/\(stable E))->(in_environment E (critical_point E)))).
% 0.19/0.50 Proof.
% 0.19/0.50 apply NNPP. intro zenon_G.
% 0.19/0.50 apply (zenon_notallex_s (fun E : zenon_U => (((environment E)/\(stable E))->(in_environment E (critical_point E)))) zenon_G); [ zenon_intro zenon_H4; idtac ].
% 0.19/0.50 elim zenon_H4. zenon_intro zenon_TE_f. zenon_intro zenon_H6.
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H6). zenon_intro zenon_H8. zenon_intro zenon_H7.
% 0.19/0.50 apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Ha. zenon_intro zenon_H9.
% 0.19/0.50 generalize (d1 zenon_TE_f). zenon_intro zenon_Hb.
% 0.19/0.50 generalize (mp_earliest_time_growth_rate_exceeds zenon_TE_f). zenon_intro zenon_Hc.
% 0.19/0.50 apply (zenon_imply_s _ _ zenon_Hc); [ zenon_intro zenon_He | zenon_intro zenon_Hd ].
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ].
% 0.19/0.50 exact (zenon_H10 zenon_Ha).
% 0.19/0.50 generalize (l1 zenon_TE_f). zenon_intro zenon_H11.
% 0.19/0.50 apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H13); [ zenon_intro zenon_H10 | zenon_intro zenon_H14 ].
% 0.19/0.50 exact (zenon_H10 zenon_Ha).
% 0.19/0.50 exact (zenon_H14 zenon_H9).
% 0.19/0.50 exact (zenon_Hf zenon_H12).
% 0.19/0.50 elim zenon_Hd. zenon_intro zenon_TTo_v. zenon_intro zenon_H16.
% 0.19/0.50 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 0.19/0.50 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.19/0.50 generalize (zenon_Hb zenon_TTo_v). zenon_intro zenon_H1b.
% 0.19/0.50 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H1d); [ zenon_intro zenon_H10 | zenon_intro zenon_H1e ].
% 0.19/0.50 exact (zenon_H10 zenon_Ha).
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.19/0.50 exact (zenon_H20 zenon_H1a).
% 0.19/0.50 apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.19/0.50 exact (zenon_H22 zenon_H18).
% 0.19/0.50 exact (zenon_H21 zenon_H19).
% 0.19/0.50 cut ((in_environment zenon_TE_f zenon_TTo_v) = (in_environment zenon_TE_f (critical_point zenon_TE_f))).
% 0.19/0.50 intro zenon_D_pnotp.
% 0.19/0.50 apply zenon_H7.
% 0.19/0.50 rewrite <- zenon_D_pnotp.
% 0.19/0.50 exact zenon_H18.
% 0.19/0.50 cut ((zenon_TTo_v = (critical_point zenon_TE_f))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 0.19/0.50 cut ((zenon_TE_f = zenon_TE_f)); [idtac | apply NNPP; zenon_intro zenon_H24].
% 0.19/0.50 congruence.
% 0.19/0.50 apply zenon_H24. apply refl_equal.
% 0.19/0.50 exact (zenon_H23 zenon_H1c).
% 0.19/0.50 Qed.
% 0.19/0.50 % SZS output end Proof
% 0.19/0.50 (* END-PROOF *)
% 0.19/0.50 nodes searched: 304
% 0.19/0.50 max branch formulas: 141
% 0.19/0.50 proof nodes created: 80
% 0.19/0.50 formulas created: 1473
% 0.19/0.50
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