TSTP Solution File: GEO256+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO256+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n007.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 07:01:22 EDT 2022
% Result : Theorem 0.21s 0.56s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO256+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.13/0.14 % Command : run_zenon %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 07:07:28 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.56 (* PROOF-FOUND *)
% 0.21/0.56 % SZS status Theorem
% 0.21/0.56 (* BEGIN-PROOF *)
% 0.21/0.56 % SZS output start Proof
% 0.21/0.56 Theorem con : (forall L : zenon_U, (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((distinct_points A C)/\((distinct_points B C)/\((~(apart_point_and_line C L))/\(left_apart_point D L))))->((before_on_line L A B)->((before_on_line L A C)\/(before_on_line L C B))))))))).
% 0.21/0.56 Proof.
% 0.21/0.56 apply NNPP. intro zenon_G.
% 0.21/0.56 apply (zenon_notallex_s (fun L : zenon_U => (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((distinct_points A C)/\((distinct_points B C)/\((~(apart_point_and_line C L))/\(left_apart_point D L))))->((before_on_line L A B)->((before_on_line L A C)\/(before_on_line L C B))))))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.21/0.56 elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22.
% 0.21/0.56 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((distinct_points A C)/\((distinct_points B C)/\((~(apart_point_and_line C zenon_TL_bh))/\(left_apart_point D zenon_TL_bh))))->((before_on_line zenon_TL_bh A B)->((before_on_line zenon_TL_bh A C)\/(before_on_line zenon_TL_bh C B)))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.21/0.56 elim zenon_H23. zenon_intro zenon_TA_bk. zenon_intro zenon_H25.
% 0.21/0.56 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (((distinct_points zenon_TA_bk C)/\((distinct_points B C)/\((~(apart_point_and_line C zenon_TL_bh))/\(left_apart_point D zenon_TL_bh))))->((before_on_line zenon_TL_bh zenon_TA_bk B)->((before_on_line zenon_TL_bh zenon_TA_bk C)\/(before_on_line zenon_TL_bh C B))))))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.21/0.56 elim zenon_H26. zenon_intro zenon_TB_bn. zenon_intro zenon_H28.
% 0.21/0.56 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((distinct_points zenon_TA_bk C)/\((distinct_points zenon_TB_bn C)/\((~(apart_point_and_line C zenon_TL_bh))/\(left_apart_point D zenon_TL_bh))))->((before_on_line zenon_TL_bh zenon_TA_bk zenon_TB_bn)->((before_on_line zenon_TL_bh zenon_TA_bk C)\/(before_on_line zenon_TL_bh C zenon_TB_bn)))))) zenon_H28); [ zenon_intro zenon_H29; idtac ].
% 0.21/0.56 elim zenon_H29. zenon_intro zenon_TC_bq. zenon_intro zenon_H2b.
% 0.21/0.56 apply (zenon_notallex_s (fun D : zenon_U => (((distinct_points zenon_TA_bk zenon_TC_bq)/\((distinct_points zenon_TB_bn zenon_TC_bq)/\((~(apart_point_and_line zenon_TC_bq zenon_TL_bh))/\(left_apart_point D zenon_TL_bh))))->((before_on_line zenon_TL_bh zenon_TA_bk zenon_TB_bn)->((before_on_line zenon_TL_bh zenon_TA_bk zenon_TC_bq)\/(before_on_line zenon_TL_bh zenon_TC_bq zenon_TB_bn))))) zenon_H2b); [ zenon_intro zenon_H2c; idtac ].
% 0.21/0.56 elim zenon_H2c. zenon_intro zenon_TD_bt. zenon_intro zenon_H2e.
% 0.21/0.56 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.21/0.56 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 0.21/0.56 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 0.21/0.56 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 0.21/0.56 generalize (oag10 zenon_TD_bt). zenon_intro zenon_H37.
% 0.21/0.56 generalize (zenon_H37 zenon_TL_bh). zenon_intro zenon_H38.
% 0.21/0.56 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39.
% 0.21/0.56 exact (zenon_H3a zenon_H35).
% 0.21/0.56 Qed.
% 0.21/0.56 % SZS output end Proof
% 0.21/0.56 (* END-PROOF *)
% 0.21/0.56 nodes searched: 1014
% 0.21/0.56 max branch formulas: 760
% 0.21/0.56 proof nodes created: 77
% 0.21/0.56 formulas created: 7488
% 0.21/0.56
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