TSTP Solution File: GEO183+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n004.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 07:00:29 EDT 2022
% Result : Theorem 0.38s 0.56s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 12:38:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.38/0.56 (* PROOF-FOUND *)
% 0.38/0.56 % SZS status Theorem
% 0.38/0.56 (* BEGIN-PROOF *)
% 0.38/0.56 % SZS output start Proof
% 0.38/0.56 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall U : zenon_U, (forall V : zenon_U, (((distinct_points X Y)/\((convergent_lines U V)/\(equal_lines U (line_connecting X Y))))->((incident_point_and_line X U)/\(incident_point_and_line Y U))))))).
% 0.38/0.56 Proof.
% 0.38/0.56 apply NNPP. intro zenon_G.
% 0.38/0.56 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall U : zenon_U, (forall V : zenon_U, (((distinct_points X Y)/\((convergent_lines U V)/\(equal_lines U (line_connecting X Y))))->((incident_point_and_line X U)/\(incident_point_and_line Y U))))))) zenon_G); [ zenon_intro zenon_H24; idtac ].
% 0.38/0.56 elim zenon_H24. zenon_intro zenon_TX_bl. zenon_intro zenon_H26.
% 0.38/0.56 apply (zenon_notallex_s (fun Y : zenon_U => (forall U : zenon_U, (forall V : zenon_U, (((distinct_points zenon_TX_bl Y)/\((convergent_lines U V)/\(equal_lines U (line_connecting zenon_TX_bl Y))))->((incident_point_and_line zenon_TX_bl U)/\(incident_point_and_line Y U)))))) zenon_H26); [ zenon_intro zenon_H27; idtac ].
% 0.38/0.56 elim zenon_H27. zenon_intro zenon_TY_bo. zenon_intro zenon_H29.
% 0.38/0.56 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines U V)/\(equal_lines U (line_connecting zenon_TX_bl zenon_TY_bo))))->((incident_point_and_line zenon_TX_bl U)/\(incident_point_and_line zenon_TY_bo U))))) zenon_H29); [ zenon_intro zenon_H2a; idtac ].
% 0.38/0.56 elim zenon_H2a. zenon_intro zenon_TU_br. zenon_intro zenon_H2c.
% 0.38/0.56 apply (zenon_notallex_s (fun V : zenon_U => (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines zenon_TU_br V)/\(equal_lines zenon_TU_br (line_connecting zenon_TX_bl zenon_TY_bo))))->((incident_point_and_line zenon_TX_bl zenon_TU_br)/\(incident_point_and_line zenon_TY_bo zenon_TU_br)))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ].
% 0.38/0.56 elim zenon_H2d. zenon_intro zenon_TV_bu. zenon_intro zenon_H2f.
% 0.38/0.56 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.38/0.56 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 0.38/0.56 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.38/0.56 generalize (ax2 zenon_TU_br). zenon_intro zenon_H36.
% 0.38/0.56 generalize (zenon_H36 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H37.
% 0.38/0.56 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3a; zenon_intro zenon_H39 | zenon_intro zenon_H34; zenon_intro zenon_H38 ].
% 0.38/0.56 exact (zenon_H3a zenon_H34).
% 0.38/0.56 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 0.38/0.56 generalize (a4 zenon_TX_bl). zenon_intro zenon_H3d.
% 0.38/0.56 generalize (zenon_H3d zenon_TU_br). zenon_intro zenon_H3e.
% 0.38/0.56 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H3c; zenon_intro zenon_H41 | zenon_intro zenon_H40; zenon_intro zenon_H3f ].
% 0.38/0.56 apply zenon_H41. zenon_intro zenon_H42.
% 0.38/0.56 generalize (ceq2 zenon_TX_bl). zenon_intro zenon_H43.
% 0.38/0.56 generalize (zenon_H43 zenon_TU_br). zenon_intro zenon_H44.
% 0.38/0.56 generalize (ci1 zenon_TX_bl). zenon_intro zenon_H45.
% 0.38/0.56 generalize (zenon_H45 zenon_TY_bo). zenon_intro zenon_H46.
% 0.38/0.56 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ].
% 0.38/0.56 exact (zenon_H48 zenon_H33).
% 0.38/0.56 generalize (zenon_H44 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H49.
% 0.38/0.56 apply (zenon_imply_s _ _ zenon_H49); [ zenon_intro zenon_H3f | zenon_intro zenon_H4a ].
% 0.38/0.56 exact (zenon_H3f zenon_H42).
% 0.38/0.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 0.38/0.56 exact (zenon_H38 zenon_H4c).
% 0.38/0.56 exact (zenon_H47 zenon_H4b).
% 0.38/0.56 exact (zenon_H3c zenon_H40).
% 0.38/0.56 generalize (a4 zenon_TY_bo). zenon_intro zenon_H4d.
% 0.38/0.56 generalize (zenon_H4d zenon_TU_br). zenon_intro zenon_H4e.
% 0.38/0.56 apply (zenon_equiv_s _ _ zenon_H4e); [ zenon_intro zenon_H3b; zenon_intro zenon_H51 | zenon_intro zenon_H50; zenon_intro zenon_H4f ].
% 0.38/0.56 apply zenon_H51. zenon_intro zenon_H52.
% 0.38/0.56 generalize (ceq2 zenon_TY_bo). zenon_intro zenon_H53.
% 0.38/0.56 generalize (zenon_H53 zenon_TU_br). zenon_intro zenon_H54.
% 0.38/0.56 generalize (ci2 zenon_TX_bl). zenon_intro zenon_H55.
% 0.38/0.56 generalize (zenon_H55 zenon_TY_bo). zenon_intro zenon_H56.
% 0.38/0.56 apply (zenon_imply_s _ _ zenon_H56); [ zenon_intro zenon_H48 | zenon_intro zenon_H57 ].
% 0.41/0.56 exact (zenon_H48 zenon_H33).
% 0.41/0.56 generalize (zenon_H54 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H58.
% 0.41/0.56 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H4f | zenon_intro zenon_H59 ].
% 0.41/0.56 exact (zenon_H4f zenon_H52).
% 0.41/0.56 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H4c | zenon_intro zenon_H5a ].
% 0.41/0.56 exact (zenon_H38 zenon_H4c).
% 0.41/0.56 exact (zenon_H57 zenon_H5a).
% 0.41/0.56 exact (zenon_H3b zenon_H50).
% 0.41/0.56 Qed.
% 0.41/0.56 % SZS output end Proof
% 0.41/0.56 (* END-PROOF *)
% 0.41/0.56 nodes searched: 2790
% 0.41/0.56 max branch formulas: 905
% 0.41/0.56 proof nodes created: 223
% 0.41/0.56 formulas created: 10357
% 0.41/0.56
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