TSTP Solution File: MGT021+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : MGT021+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n024.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 0.20s 0.50s
% Output : Proof 0.20s
% 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 : MGT021+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n024.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 10:16:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 (* PROOF-FOUND *)
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 (* BEGIN-PROOF *)
% 0.20/0.50 % SZS output start Proof
% 0.20/0.50 Theorem prove_l3 : (forall E : zenon_U, (forall T : zenon_U, (((environment E)/\(subpopulations (first_movers) (efficient_producers) E T))->(~(decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))).
% 0.20/0.50 Proof.
% 0.20/0.50 assert (zenon_L1_ : forall (zenon_TE_l : zenon_U) (zenon_TT_m : zenon_U), (decreases (difference (disbanding_rate (first_movers) zenon_TT_m) (disbanding_rate (efficient_producers) zenon_TT_m))) -> (constant (resources zenon_TE_l zenon_TT_m)) -> (subpopulations (first_movers) (efficient_producers) zenon_TE_l zenon_TT_m) -> (environment zenon_TE_l) -> False).
% 0.20/0.50 do 2 intro. intros zenon_H7 zenon_H8 zenon_H9 zenon_Ha.
% 0.20/0.50 generalize (l4 zenon_TE_l). zenon_intro zenon_Hd.
% 0.20/0.50 generalize (zenon_Hd zenon_TT_m). zenon_intro zenon_He.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_He); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ].
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.20/0.50 exact (zenon_H12 zenon_Ha).
% 0.20/0.50 exact (zenon_H11 zenon_H9).
% 0.20/0.50 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 0.20/0.50 exact (zenon_H16 zenon_H8).
% 0.20/0.50 exact (zenon_H15 zenon_H7).
% 0.20/0.50 (* end of lemma zenon_L1_ *)
% 0.20/0.50 assert (zenon_L2_ : forall (zenon_TT_m : zenon_U), (increases (difference (disbanding_rate (first_movers) zenon_TT_m) (disbanding_rate (efficient_producers) zenon_TT_m))) -> (decreases (difference (disbanding_rate (first_movers) zenon_TT_m) (disbanding_rate (efficient_producers) zenon_TT_m))) -> False).
% 0.20/0.50 do 1 intro. intros zenon_H17 zenon_H7.
% 0.20/0.50 generalize (mp_increase_not_decrease (difference (disbanding_rate (first_movers) zenon_TT_m) (disbanding_rate (efficient_producers) zenon_TT_m))). zenon_intro zenon_H18.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_H19 | zenon_intro zenon_H15 ].
% 0.20/0.50 exact (zenon_H19 zenon_H17).
% 0.20/0.50 exact (zenon_H15 zenon_H7).
% 0.20/0.50 (* end of lemma zenon_L2_ *)
% 0.20/0.50 apply NNPP. intro zenon_G.
% 0.20/0.50 apply (zenon_notallex_s (fun E : zenon_U => (forall T : zenon_U, (((environment E)/\(subpopulations (first_movers) (efficient_producers) E T))->(~(decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T))))))) zenon_G); [ zenon_intro zenon_H1a; idtac ].
% 0.20/0.50 elim zenon_H1a. zenon_intro zenon_TE_l. zenon_intro zenon_H1b.
% 0.20/0.50 apply (zenon_notallex_s (fun T : zenon_U => (((environment zenon_TE_l)/\(subpopulations (first_movers) (efficient_producers) zenon_TE_l T))->(~(decreases (difference (disbanding_rate (first_movers) T) (disbanding_rate (efficient_producers) T)))))) zenon_H1b); [ zenon_intro zenon_H1c; idtac ].
% 0.20/0.50 elim zenon_H1c. zenon_intro zenon_TT_m. zenon_intro zenon_H1d.
% 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.20/0.50 apply zenon_H1e. zenon_intro zenon_H7.
% 0.20/0.50 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Ha. zenon_intro zenon_H9.
% 0.20/0.50 generalize (mp_time_point_in_environment zenon_TE_l). zenon_intro zenon_H20.
% 0.20/0.50 generalize (zenon_H20 zenon_TT_m). zenon_intro zenon_H21.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H10 | zenon_intro zenon_H22 ].
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.20/0.50 exact (zenon_H12 zenon_Ha).
% 0.20/0.50 exact (zenon_H11 zenon_H9).
% 0.20/0.50 generalize (a3 zenon_TE_l). zenon_intro zenon_H23.
% 0.20/0.50 generalize (zenon_H23 zenon_TT_m). zenon_intro zenon_H24.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H12 | zenon_intro zenon_H27 ].
% 0.20/0.50 exact (zenon_H12 zenon_Ha).
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 0.20/0.50 exact (zenon_H29 zenon_H22).
% 0.20/0.50 generalize (mp_environment_not_empty zenon_TE_l). zenon_intro zenon_H2a.
% 0.20/0.50 generalize (zenon_H2a zenon_TT_m). zenon_intro zenon_H2b.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H10 | zenon_intro zenon_H2c ].
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.20/0.50 exact (zenon_H12 zenon_Ha).
% 0.20/0.50 exact (zenon_H11 zenon_H9).
% 0.20/0.50 exact (zenon_H28 zenon_H2c).
% 0.20/0.50 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H31 | zenon_intro zenon_H8 ].
% 0.20/0.50 exact (zenon_H31 zenon_H30).
% 0.20/0.50 apply (zenon_L1_ zenon_TE_l zenon_TT_m); trivial.
% 0.20/0.50 generalize (l4 zenon_TE_l). zenon_intro zenon_Hd.
% 0.20/0.50 generalize (zenon_Hd zenon_TT_m). zenon_intro zenon_He.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_He); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ].
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.20/0.50 exact (zenon_H12 zenon_Ha).
% 0.20/0.50 exact (zenon_H11 zenon_H9).
% 0.20/0.50 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H32 | zenon_intro zenon_H17 ].
% 0.20/0.50 exact (zenon_H32 zenon_H2f).
% 0.20/0.50 apply (zenon_L2_ zenon_TT_m); trivial.
% 0.20/0.50 Qed.
% 0.20/0.50 % SZS output end Proof
% 0.20/0.50 (* END-PROOF *)
% 0.20/0.50 nodes searched: 226
% 0.20/0.50 max branch formulas: 121
% 0.20/0.50 proof nodes created: 59
% 0.20/0.50 formulas created: 874
% 0.20/0.50
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