TSTP Solution File: MGT036+3 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : MGT036+3 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n027.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 22:31:06 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT036+3 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 9 07:51:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 (* PROOF-FOUND *)
% 0.21/0.52 % SZS status Theorem
% 0.21/0.52 (* BEGIN-PROOF *)
% 0.21/0.52 % SZS output start Proof
% 0.21/0.52 Theorem prove_t5_star : (exists E : zenon_U, (exists T : zenon_U, ((environment E)/\((subpopulations (first_movers) (efficient_producers) E T)/\(outcompetes (first_movers) (efficient_producers) T))))).
% 0.21/0.52 Proof.
% 0.21/0.52 apply NNPP. intro zenon_G.
% 0.21/0.52 elim a13_star. zenon_intro zenon_TE_e. zenon_intro zenon_H5.
% 0.21/0.52 elim zenon_H5. zenon_intro zenon_TT_g. zenon_intro zenon_H7.
% 0.21/0.52 apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.21/0.52 apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.21/0.52 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.21/0.52 generalize (d2 zenon_TE_e). zenon_intro zenon_He.
% 0.21/0.52 apply zenon_G. exists zenon_TE_e. apply NNPP. zenon_intro zenon_Hf.
% 0.21/0.52 generalize (zenon_He (efficient_producers)). zenon_intro zenon_H10.
% 0.21/0.52 generalize (zenon_H10 (first_movers)). zenon_intro zenon_H11.
% 0.21/0.52 generalize (zenon_H11 zenon_TT_g). zenon_intro zenon_H12.
% 0.21/0.52 apply (zenon_imply_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ].
% 0.21/0.52 apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 0.21/0.52 exact (zenon_H16 zenon_H9).
% 0.21/0.52 generalize (mp_symmetry_of_subpopulations zenon_TE_e). zenon_intro zenon_H17.
% 0.21/0.52 generalize (zenon_H17 (first_movers)). zenon_intro zenon_H18.
% 0.21/0.52 generalize (zenon_H18 (efficient_producers)). zenon_intro zenon_H19.
% 0.21/0.52 generalize (zenon_H19 zenon_TT_g). zenon_intro zenon_H1a.
% 0.21/0.52 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 0.21/0.52 apply (zenon_notand_s _ _ zenon_H1c); [ zenon_intro zenon_H16 | zenon_intro zenon_H1d ].
% 0.21/0.52 exact (zenon_H16 zenon_H9).
% 0.21/0.52 exact (zenon_H1d zenon_Hb).
% 0.21/0.52 exact (zenon_H15 zenon_H1b).
% 0.21/0.52 apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_H20; zenon_intro zenon_H1f | zenon_intro zenon_Ha; zenon_intro zenon_H1e ].
% 0.21/0.52 apply (zenon_notand_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.21/0.52 exact (zenon_H22 zenon_Hd).
% 0.21/0.52 exact (zenon_H21 zenon_Hc).
% 0.21/0.52 apply zenon_Hf. exists zenon_TT_g. apply NNPP. zenon_intro zenon_H23.
% 0.21/0.52 apply (zenon_notand_s _ _ zenon_H23); [ zenon_intro zenon_H16 | zenon_intro zenon_H24 ].
% 0.21/0.52 exact (zenon_H16 zenon_H9).
% 0.21/0.52 apply (zenon_notand_s _ _ zenon_H24); [ zenon_intro zenon_H1d | zenon_intro zenon_H1f ].
% 0.21/0.52 exact (zenon_H1d zenon_Hb).
% 0.21/0.52 exact (zenon_H1f zenon_H1e).
% 0.21/0.52 Qed.
% 0.21/0.52 % SZS output end Proof
% 0.21/0.52 (* END-PROOF *)
% 0.21/0.52 nodes searched: 674
% 0.21/0.52 max branch formulas: 388
% 0.21/0.52 proof nodes created: 60
% 0.21/0.52 formulas created: 2450
% 0.21/0.52
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