TSTP Solution File: GEO226+3 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : GEO226+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n022.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 07:01:06 EDT 2022
% Result : Theorem 0.63s 0.84s
% Output : Proof 0.63s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO226+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n022.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 : Sat Jun 18 02:42:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.63/0.84 (* PROOF-FOUND *)
% 0.63/0.84 % SZS status Theorem
% 0.63/0.84 (* BEGIN-PROOF *)
% 0.63/0.84 % SZS output start Proof
% 0.63/0.84 Theorem con : (forall L : zenon_U, (forall M : zenon_U, (((line L)/\((line M)/\(convergent_lines L M)))->(exists X : zenon_U, ((point X)->((incident_point_and_line X L)/\(incident_point_and_line X M))))))).
% 0.63/0.84 Proof.
% 0.63/0.84 apply NNPP. intro zenon_G.
% 0.63/0.84 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((line L)/\((line M)/\(convergent_lines L M)))->(exists X : zenon_U, ((point X)->((incident_point_and_line X L)/\(incident_point_and_line X M))))))) zenon_G); [ zenon_intro zenon_H24; idtac ].
% 0.63/0.84 elim zenon_H24. zenon_intro zenon_TL_bl. zenon_intro zenon_H26.
% 0.63/0.84 apply (zenon_notallex_s (fun M : zenon_U => (((line zenon_TL_bl)/\((line M)/\(convergent_lines zenon_TL_bl M)))->(exists X : zenon_U, ((point X)->((incident_point_and_line X zenon_TL_bl)/\(incident_point_and_line X M)))))) zenon_H26); [ zenon_intro zenon_H27; idtac ].
% 0.63/0.84 elim zenon_H27. zenon_intro zenon_TM_bo. zenon_intro zenon_H29.
% 0.63/0.84 apply (zenon_notimply_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 0.63/0.84 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 0.63/0.84 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.63/0.84 generalize (ci3 zenon_TM_bo). zenon_intro zenon_H30.
% 0.63/0.84 generalize (ax6 zenon_TL_bl). zenon_intro zenon_H31.
% 0.63/0.84 generalize (zenon_H31 zenon_TM_bo). zenon_intro zenon_H32.
% 0.63/0.84 generalize (apart3 zenon_TL_bl). zenon_intro zenon_H33.
% 0.63/0.84 generalize (zenon_H32 zenon_TL_bl). zenon_intro zenon_H34.
% 0.63/0.84 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 0.63/0.84 exact (zenon_H36 zenon_H2e).
% 0.63/0.84 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 0.63/0.84 exact (zenon_H33 zenon_H38).
% 0.63/0.84 generalize (zenon_H30 zenon_TL_bl). zenon_intro zenon_H39.
% 0.63/0.84 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 0.63/0.84 exact (zenon_H3b zenon_H37).
% 0.63/0.84 apply zenon_H2a. exists (intersection_point zenon_TM_bo zenon_TL_bl). apply NNPP. zenon_intro zenon_H3c.
% 0.63/0.84 apply (zenon_notimply_s _ _ zenon_H3c). zenon_intro zenon_H3e. zenon_intro zenon_H3d.
% 0.63/0.84 apply (zenon_notand_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.63/0.84 generalize (a4 (intersection_point zenon_TM_bo zenon_TL_bl)). zenon_intro zenon_H41.
% 0.63/0.84 generalize (zenon_H41 zenon_TL_bl). zenon_intro zenon_H42.
% 0.63/0.84 apply (zenon_equiv_s _ _ zenon_H42); [ zenon_intro zenon_H40; zenon_intro zenon_H45 | zenon_intro zenon_H44; zenon_intro zenon_H43 ].
% 0.63/0.84 apply zenon_H45. zenon_intro zenon_H46.
% 0.63/0.84 generalize (ci4 zenon_TM_bo). zenon_intro zenon_H47.
% 0.63/0.84 generalize (zenon_H47 zenon_TL_bl). zenon_intro zenon_H48.
% 0.63/0.84 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H3b | zenon_intro zenon_H43 ].
% 0.63/0.84 exact (zenon_H3b zenon_H37).
% 0.63/0.84 exact (zenon_H43 zenon_H46).
% 0.63/0.84 exact (zenon_H40 zenon_H44).
% 0.63/0.84 generalize (a4 (intersection_point zenon_TM_bo zenon_TL_bl)). zenon_intro zenon_H41.
% 0.63/0.84 generalize (zenon_H41 zenon_TM_bo). zenon_intro zenon_H49.
% 0.63/0.84 apply (zenon_equiv_s _ _ zenon_H49); [ zenon_intro zenon_H3f; zenon_intro zenon_H4b | zenon_intro zenon_H4a; zenon_intro zenon_H3a ].
% 0.63/0.84 exact (zenon_H4b zenon_H3a).
% 0.63/0.84 exact (zenon_H3f zenon_H4a).
% 0.63/0.84 Qed.
% 0.63/0.84 % SZS output end Proof
% 0.63/0.84 (* END-PROOF *)
% 0.63/0.84 nodes searched: 22860
% 0.63/0.84 max branch formulas: 3044
% 0.63/0.84 proof nodes created: 928
% 0.63/0.84 formulas created: 63703
% 0.63/0.84
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