TSTP Solution File: GEO217+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n005.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 07:00:58 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 11:43:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.57 (* PROOF-FOUND *)
% 0.20/0.57 % SZS status Theorem
% 0.20/0.57 (* BEGIN-PROOF *)
% 0.20/0.57 % SZS output start Proof
% 0.20/0.57 Theorem con : (forall L : zenon_U, (forall M : zenon_U, (forall N : zenon_U, (((~(convergent_lines L M))/\(~(convergent_lines L N)))->(~(convergent_lines M N)))))).
% 0.20/0.57 Proof.
% 0.20/0.57 apply NNPP. intro zenon_G.
% 0.20/0.57 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (forall N : zenon_U, (((~(convergent_lines L M))/\(~(convergent_lines L N)))->(~(convergent_lines M N)))))) zenon_G); [ zenon_intro zenon_H10; idtac ].
% 0.20/0.57 elim zenon_H10. zenon_intro zenon_TL_r. zenon_intro zenon_H12.
% 0.20/0.57 apply (zenon_notallex_s (fun M : zenon_U => (forall N : zenon_U, (((~(convergent_lines zenon_TL_r M))/\(~(convergent_lines zenon_TL_r N)))->(~(convergent_lines M N))))) zenon_H12); [ zenon_intro zenon_H13; idtac ].
% 0.20/0.57 elim zenon_H13. zenon_intro zenon_TM_u. zenon_intro zenon_H15.
% 0.20/0.57 apply (zenon_notallex_s (fun N : zenon_U => (((~(convergent_lines zenon_TL_r zenon_TM_u))/\(~(convergent_lines zenon_TL_r N)))->(~(convergent_lines zenon_TM_u N)))) zenon_H15); [ zenon_intro zenon_H16; idtac ].
% 0.20/0.57 elim zenon_H16. zenon_intro zenon_TN_x. zenon_intro zenon_H18.
% 0.20/0.57 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.20/0.57 apply zenon_H19. zenon_intro zenon_H1b.
% 0.20/0.57 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.20/0.57 generalize (apart3 zenon_TN_x). zenon_intro zenon_H1e.
% 0.20/0.57 generalize (apart6 zenon_TM_u). zenon_intro zenon_H1f.
% 0.20/0.57 generalize (zenon_H1f zenon_TN_x). zenon_intro zenon_H20.
% 0.20/0.57 generalize (apart3 zenon_TM_u). zenon_intro zenon_H21.
% 0.20/0.57 generalize (apart6 zenon_TN_x). zenon_intro zenon_H22.
% 0.20/0.57 generalize (zenon_H20 zenon_TL_r). zenon_intro zenon_H23.
% 0.20/0.57 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.20/0.57 exact (zenon_H25 zenon_H1b).
% 0.20/0.57 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.20/0.57 generalize (zenon_H1f zenon_TL_r). zenon_intro zenon_H28.
% 0.20/0.57 generalize (zenon_H28 zenon_TM_u). zenon_intro zenon_H29.
% 0.20/0.57 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 0.20/0.57 exact (zenon_H2b zenon_H27).
% 0.20/0.57 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 0.20/0.57 exact (zenon_H21 zenon_H2d).
% 0.20/0.57 exact (zenon_H1d zenon_H2c).
% 0.20/0.57 generalize (zenon_H22 zenon_TL_r). zenon_intro zenon_H2e.
% 0.20/0.57 generalize (zenon_H2e zenon_TN_x). zenon_intro zenon_H2f.
% 0.20/0.57 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ].
% 0.20/0.57 exact (zenon_H31 zenon_H26).
% 0.20/0.57 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.20/0.57 exact (zenon_H1e zenon_H33).
% 0.20/0.57 exact (zenon_H1c zenon_H32).
% 0.20/0.57 Qed.
% 0.20/0.57 % SZS output end Proof
% 0.20/0.57 (* END-PROOF *)
% 0.20/0.57 nodes searched: 2918
% 0.20/0.57 max branch formulas: 1007
% 0.20/0.57 proof nodes created: 238
% 0.20/0.57 formulas created: 9647
% 0.20/0.57
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