TSTP Solution File: MGT023+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n018.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 0.20s 0.50s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 09:39:38 EDT 2022
% 0.13/0.35 % 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_l5 : (forall E : zenon_U, (((environment E)/\(stable E))->(in_environment E (critical_point E)))).
% 0.20/0.50 Proof.
% 0.20/0.50 apply NNPP. intro zenon_G.
% 0.20/0.50 apply (zenon_notallex_s (fun E : zenon_U => (((environment E)/\(stable E))->(in_environment E (critical_point E)))) zenon_G); [ zenon_intro zenon_H3; idtac ].
% 0.20/0.50 elim zenon_H3. zenon_intro zenon_TE_e. zenon_intro zenon_H5.
% 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.20/0.50 apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.20/0.50 generalize (d1 zenon_TE_e). zenon_intro zenon_Ha.
% 0.20/0.50 generalize (l12 zenon_TE_e). zenon_intro zenon_Hb.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_Hb); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ].
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_Hd); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.20/0.50 exact (zenon_Hf zenon_H9).
% 0.20/0.50 exact (zenon_He zenon_H8).
% 0.20/0.50 elim zenon_Hc. zenon_intro zenon_TTo_q. zenon_intro zenon_H11.
% 0.20/0.50 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 0.20/0.50 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.20/0.50 generalize (zenon_Ha zenon_TTo_q). zenon_intro zenon_H16.
% 0.20/0.50 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H18); [ zenon_intro zenon_Hf | zenon_intro zenon_H19 ].
% 0.20/0.50 exact (zenon_Hf zenon_H9).
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ].
% 0.20/0.50 exact (zenon_H1b zenon_H15).
% 0.20/0.50 apply (zenon_notand_s _ _ zenon_H1a); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 0.20/0.50 exact (zenon_H1d zenon_H13).
% 0.20/0.50 exact (zenon_H1c zenon_H14).
% 0.20/0.50 cut ((in_environment zenon_TE_e zenon_TTo_q) = (in_environment zenon_TE_e (critical_point zenon_TE_e))).
% 0.20/0.50 intro zenon_D_pnotp.
% 0.20/0.50 apply zenon_H6.
% 0.20/0.50 rewrite <- zenon_D_pnotp.
% 0.20/0.50 exact zenon_H13.
% 0.20/0.50 cut ((zenon_TTo_q = (critical_point zenon_TE_e))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 0.20/0.50 cut ((zenon_TE_e = zenon_TE_e)); [idtac | apply NNPP; zenon_intro zenon_H1f].
% 0.20/0.50 congruence.
% 0.20/0.50 apply zenon_H1f. apply refl_equal.
% 0.20/0.50 exact (zenon_H1e zenon_H17).
% 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: 100
% 0.20/0.50 max branch formulas: 66
% 0.20/0.50 proof nodes created: 31
% 0.20/0.50 formulas created: 591
% 0.20/0.50
%------------------------------------------------------------------------------