TSTP Solution File: GEO225+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO225+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n011.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 07:01:05 EDT 2022
% Result : Theorem 5.23s 5.45s
% Output : Proof 5.23s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO225+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n011.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 05:07:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.23/5.45 (* PROOF-FOUND *)
% 5.23/5.45 % SZS status Theorem
% 5.23/5.45 (* BEGIN-PROOF *)
% 5.23/5.45 % SZS output start Proof
% 5.23/5.45 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (((point A)/\((point B)/\(distinct_points A B)))->(exists X : zenon_U, ((line X)->((~(apart_point_and_line A X))/\(~(apart_point_and_line B X)))))))).
% 5.23/5.45 Proof.
% 5.23/5.45 apply NNPP. intro zenon_G.
% 5.23/5.45 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((point A)/\((point B)/\(distinct_points A B)))->(exists X : zenon_U, ((line X)->((~(apart_point_and_line A X))/\(~(apart_point_and_line B X)))))))) zenon_G); [ zenon_intro zenon_H13; idtac ].
% 5.23/5.45 elim zenon_H13. zenon_intro zenon_TA_u. zenon_intro zenon_H15.
% 5.23/5.45 apply (zenon_notallex_s (fun B : zenon_U => (((point zenon_TA_u)/\((point B)/\(distinct_points zenon_TA_u B)))->(exists X : zenon_U, ((line X)->((~(apart_point_and_line zenon_TA_u X))/\(~(apart_point_and_line B X))))))) zenon_H15); [ zenon_intro zenon_H16; idtac ].
% 5.23/5.45 elim zenon_H16. zenon_intro zenon_TB_x. zenon_intro zenon_H18.
% 5.23/5.45 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 5.23/5.45 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 5.23/5.45 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 5.23/5.45 generalize (ci1 zenon_TA_u). zenon_intro zenon_H1f.
% 5.23/5.45 generalize (zenon_H1f zenon_TB_x). zenon_intro zenon_H20.
% 5.23/5.45 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 5.23/5.45 exact (zenon_H22 zenon_H1d).
% 5.23/5.45 generalize (ci2 zenon_TA_u). zenon_intro zenon_H23.
% 5.23/5.45 generalize (zenon_H23 zenon_TB_x). zenon_intro zenon_H24.
% 5.23/5.45 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H22 | zenon_intro zenon_H25 ].
% 5.23/5.45 exact (zenon_H22 zenon_H1d).
% 5.23/5.45 apply zenon_H19. exists (line_connecting zenon_TA_u zenon_TB_x). apply NNPP. zenon_intro zenon_H26.
% 5.23/5.45 apply (zenon_notimply_s _ _ zenon_H26). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 5.23/5.45 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 5.23/5.45 exact (zenon_H2a zenon_H21).
% 5.23/5.45 exact (zenon_H29 zenon_H25).
% 5.23/5.45 Qed.
% 5.23/5.45 % SZS output end Proof
% 5.23/5.45 (* END-PROOF *)
% 5.23/5.45 nodes searched: 675374
% 5.23/5.45 max branch formulas: 32184
% 5.23/5.45 proof nodes created: 6179
% 5.23/5.45 formulas created: 1126253
% 5.23/5.45
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