TSTP Solution File: GEO201+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n017.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 07:00:45 EDT 2022
% Result : Theorem 0.43s 0.60s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15 % Command : run_zenon %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % 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 : Fri Jun 17 16:28:11 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.43/0.60 (* PROOF-FOUND *)
% 0.43/0.60 % SZS status Theorem
% 0.43/0.60 (* BEGIN-PROOF *)
% 0.43/0.60 % SZS output start Proof
% 0.43/0.60 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, ((convergent_lines X Y)->(~(distinct_points (intersection_point X Y) (intersection_point Y X)))))).
% 0.43/0.60 Proof.
% 0.43/0.60 apply NNPP. intro zenon_G.
% 0.43/0.60 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((convergent_lines X Y)->(~(distinct_points (intersection_point X Y) (intersection_point Y X)))))) zenon_G); [ zenon_intro zenon_Hd; idtac ].
% 0.43/0.60 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf.
% 0.43/0.60 apply (zenon_notallex_s (fun Y : zenon_U => ((convergent_lines zenon_TX_o Y)->(~(distinct_points (intersection_point zenon_TX_o Y) (intersection_point Y zenon_TX_o))))) zenon_Hf); [ zenon_intro zenon_H10; idtac ].
% 0.43/0.60 elim zenon_H10. zenon_intro zenon_TY_r. zenon_intro zenon_H12.
% 0.43/0.60 apply (zenon_notimply_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 0.43/0.60 apply zenon_H13. zenon_intro zenon_H15.
% 0.43/0.60 generalize (apart6 zenon_TX_o). zenon_intro zenon_H16.
% 0.43/0.60 generalize (zenon_H16 zenon_TY_r). zenon_intro zenon_H17.
% 0.43/0.60 generalize (con2 zenon_TY_r). zenon_intro zenon_H18.
% 0.43/0.60 generalize (zenon_H18 zenon_TX_o). zenon_intro zenon_H19.
% 0.43/0.60 generalize (apart1 (intersection_point zenon_TY_r zenon_TX_o)). zenon_intro zenon_H1a.
% 0.43/0.60 generalize (cu1 (intersection_point zenon_TX_o zenon_TY_r)). zenon_intro zenon_H1b.
% 0.43/0.60 generalize (zenon_H19 (intersection_point zenon_TY_r zenon_TX_o)). zenon_intro zenon_H1c.
% 0.43/0.60 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ].
% 0.43/0.60 generalize (zenon_H17 zenon_TX_o). zenon_intro zenon_H1f.
% 0.43/0.60 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ].
% 0.43/0.60 exact (zenon_H21 zenon_H14).
% 0.43/0.60 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 0.43/0.60 generalize (apart3 zenon_TX_o). zenon_intro zenon_H24.
% 0.43/0.60 exact (zenon_H24 zenon_H23).
% 0.43/0.60 exact (zenon_H1e zenon_H22).
% 0.43/0.60 apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 0.43/0.60 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 0.43/0.60 generalize (zenon_H1b (intersection_point zenon_TY_r zenon_TX_o)). zenon_intro zenon_H29.
% 0.43/0.60 generalize (apart1 (intersection_point zenon_TX_o zenon_TY_r)). zenon_intro zenon_H2a.
% 0.43/0.60 generalize (con2 zenon_TX_o). zenon_intro zenon_H2b.
% 0.43/0.60 generalize (zenon_H2b zenon_TY_r). zenon_intro zenon_H2c.
% 0.43/0.60 generalize (zenon_H2c (intersection_point zenon_TX_o zenon_TY_r)). zenon_intro zenon_H2d.
% 0.43/0.60 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H21 | zenon_intro zenon_H2e ].
% 0.43/0.60 exact (zenon_H21 zenon_H14).
% 0.43/0.60 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.43/0.60 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 0.43/0.60 generalize (zenon_H29 zenon_TX_o). zenon_intro zenon_H33.
% 0.43/0.60 generalize (zenon_H33 zenon_TY_r). zenon_intro zenon_H34.
% 0.43/0.60 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 0.43/0.60 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 0.43/0.60 exact (zenon_H38 zenon_H15).
% 0.43/0.60 generalize (ceq3 zenon_TX_o). zenon_intro zenon_H39.
% 0.43/0.60 generalize (zenon_H39 zenon_TY_r). zenon_intro zenon_H3a.
% 0.43/0.60 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H21 | zenon_intro zenon_H3b ].
% 0.43/0.60 exact (zenon_H21 zenon_H14).
% 0.43/0.60 exact (zenon_H37 zenon_H3b).
% 0.43/0.60 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 0.43/0.60 exact (zenon_H32 zenon_H3d).
% 0.43/0.60 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ].
% 0.43/0.60 exact (zenon_H31 zenon_H3f).
% 0.43/0.60 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ].
% 0.43/0.60 exact (zenon_H27 zenon_H41).
% 0.43/0.60 exact (zenon_H28 zenon_H40).
% 0.43/0.60 exact (zenon_H2a zenon_H2f).
% 0.43/0.60 exact (zenon_H1a zenon_H25).
% 0.43/0.60 Qed.
% 0.43/0.60 % SZS output end Proof
% 0.43/0.60 (* END-PROOF *)
% 0.43/0.60 nodes searched: 2342
% 0.43/0.60 max branch formulas: 806
% 0.43/0.60 proof nodes created: 253
% 0.43/0.60 formulas created: 8281
% 0.43/0.60
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