TSTP Solution File: GEO209+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n020.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 : Sat Jul 16 07:00:52 EDT 2022
% Result : Theorem 0.22s 0.55s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run_zenon %s %d
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 18 15:37:48 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.55 (* PROOF-FOUND *)
% 0.22/0.55 % SZS status Theorem
% 0.22/0.55 (* BEGIN-PROOF *)
% 0.22/0.55 % SZS output start Proof
% 0.22/0.55 Theorem con : (forall A : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (forall N : zenon_U, (((apart_point_and_line A L)/\((incident_point_and_line A M)/\((incident_point_and_line A N)/\((parallel_lines M L)/\(parallel_lines N L)))))->(equal_lines M N)))))).
% 0.22/0.55 Proof.
% 0.22/0.55 apply NNPP. intro zenon_G.
% 0.22/0.55 apply (zenon_notallex_s (fun A : zenon_U => (forall L : zenon_U, (forall M : zenon_U, (forall N : zenon_U, (((apart_point_and_line A L)/\((incident_point_and_line A M)/\((incident_point_and_line A N)/\((parallel_lines M L)/\(parallel_lines N L)))))->(equal_lines M N)))))) zenon_G); [ zenon_intro zenon_H24; idtac ].
% 0.22/0.55 elim zenon_H24. zenon_intro zenon_TA_bl. zenon_intro zenon_H26.
% 0.22/0.55 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (forall N : zenon_U, (((apart_point_and_line zenon_TA_bl L)/\((incident_point_and_line zenon_TA_bl M)/\((incident_point_and_line zenon_TA_bl N)/\((parallel_lines M L)/\(parallel_lines N L)))))->(equal_lines M N))))) zenon_H26); [ zenon_intro zenon_H27; idtac ].
% 0.22/0.55 elim zenon_H27. zenon_intro zenon_TL_bo. zenon_intro zenon_H29.
% 0.22/0.55 apply (zenon_notallex_s (fun M : zenon_U => (forall N : zenon_U, (((apart_point_and_line zenon_TA_bl zenon_TL_bo)/\((incident_point_and_line zenon_TA_bl M)/\((incident_point_and_line zenon_TA_bl N)/\((parallel_lines M zenon_TL_bo)/\(parallel_lines N zenon_TL_bo)))))->(equal_lines M N)))) zenon_H29); [ zenon_intro zenon_H2a; idtac ].
% 0.22/0.55 elim zenon_H2a. zenon_intro zenon_TM_br. zenon_intro zenon_H2c.
% 0.22/0.55 apply (zenon_notallex_s (fun N : zenon_U => (((apart_point_and_line zenon_TA_bl zenon_TL_bo)/\((incident_point_and_line zenon_TA_bl zenon_TM_br)/\((incident_point_and_line zenon_TA_bl N)/\((parallel_lines zenon_TM_br zenon_TL_bo)/\(parallel_lines N zenon_TL_bo)))))->(equal_lines zenon_TM_br N))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ].
% 0.22/0.55 elim zenon_H2d. zenon_intro zenon_TN_bu. zenon_intro zenon_H2f.
% 0.22/0.55 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.22/0.55 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 0.22/0.55 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.22/0.55 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.22/0.55 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38.
% 0.22/0.55 generalize (a3 zenon_TM_br). zenon_intro zenon_H3a.
% 0.22/0.55 generalize (zenon_H3a zenon_TL_bo). zenon_intro zenon_H3b.
% 0.22/0.55 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H3e; zenon_intro zenon_H3d | zenon_intro zenon_H39; zenon_intro zenon_H3c ].
% 0.22/0.55 exact (zenon_H3e zenon_H39).
% 0.22/0.55 generalize (a3 zenon_TN_bu). zenon_intro zenon_H3f.
% 0.22/0.55 generalize (zenon_H3f zenon_TL_bo). zenon_intro zenon_H40.
% 0.22/0.55 apply (zenon_equiv_s _ _ zenon_H40); [ zenon_intro zenon_H43; zenon_intro zenon_H42 | zenon_intro zenon_H38; zenon_intro zenon_H41 ].
% 0.22/0.55 exact (zenon_H43 zenon_H38).
% 0.22/0.55 generalize (ax2 zenon_TM_br). zenon_intro zenon_H44.
% 0.22/0.55 generalize (zenon_H44 zenon_TN_bu). zenon_intro zenon_H45.
% 0.22/0.55 apply (zenon_equiv_s _ _ zenon_H45); [ zenon_intro zenon_H30; zenon_intro zenon_H48 | zenon_intro zenon_H47; zenon_intro zenon_H46 ].
% 0.22/0.55 apply zenon_H48. zenon_intro zenon_H49.
% 0.22/0.55 generalize (apart5 zenon_TM_br). zenon_intro zenon_H4a.
% 0.22/0.55 generalize (p1 zenon_TN_bu). zenon_intro zenon_H4b.
% 0.22/0.55 generalize (zenon_H4a zenon_TN_bu). zenon_intro zenon_H4c.
% 0.22/0.55 generalize (apart2 zenon_TM_br). zenon_intro zenon_H4d.
% 0.22/0.55 generalize (zenon_H4c zenon_TM_br). zenon_intro zenon_H4e.
% 0.22/0.55 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_H46 | zenon_intro zenon_H4f ].
% 0.22/0.55 exact (zenon_H46 zenon_H49).
% 0.22/0.55 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 0.22/0.55 exact (zenon_H4d zenon_H51).
% 0.22/0.55 generalize (zenon_H4b zenon_TM_br). zenon_intro zenon_H52.
% 0.22/0.55 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ].
% 0.22/0.55 exact (zenon_H54 zenon_H50).
% 0.22/0.55 generalize (ax6 zenon_TN_bu). zenon_intro zenon_H55.
% 0.22/0.55 generalize (zenon_H55 zenon_TM_br). zenon_intro zenon_H56.
% 0.22/0.55 generalize (zenon_H56 zenon_TL_bo). zenon_intro zenon_H57.
% 0.22/0.55 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ].
% 0.22/0.55 exact (zenon_H59 zenon_H53).
% 0.22/0.55 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ].
% 0.22/0.55 exact (zenon_H41 zenon_H5b).
% 0.22/0.55 exact (zenon_H3c zenon_H5a).
% 0.22/0.55 exact (zenon_H30 zenon_H47).
% 0.22/0.55 Qed.
% 0.22/0.55 % SZS output end Proof
% 0.22/0.55 (* END-PROOF *)
% 0.22/0.55 nodes searched: 721
% 0.22/0.55 max branch formulas: 512
% 0.22/0.55 proof nodes created: 86
% 0.22/0.55 formulas created: 3963
% 0.22/0.55
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