TSTP Solution File: GEO257+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO257+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n014.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 0.41s 0.58s
% Output : Proof 0.41s
% 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 : GEO257+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.08/0.15 % Command : run_zenon %s %d
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Fri Jun 17 20:46:04 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.41/0.58 (* PROOF-FOUND *)
% 0.41/0.58 % SZS status Theorem
% 0.41/0.58 (* BEGIN-PROOF *)
% 0.41/0.58 % SZS output start Proof
% 0.41/0.58 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 B C))->(before_on_line L A C)))))))).
% 0.41/0.58 Proof.
% 0.41/0.58 apply NNPP. intro zenon_G.
% 0.41/0.58 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 B C))->(before_on_line L A C)))))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.41/0.58 elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22.
% 0.41/0.58 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 B C))->(before_on_line zenon_TL_bh A C))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.41/0.58 elim zenon_H23. zenon_intro zenon_TA_bk. zenon_intro zenon_H25.
% 0.41/0.58 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 B C))->(before_on_line zenon_TL_bh zenon_TA_bk C)))))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.41/0.58 elim zenon_H26. zenon_intro zenon_TB_bn. zenon_intro zenon_H28.
% 0.41/0.58 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_TB_bn C))->(before_on_line zenon_TL_bh zenon_TA_bk C))))) zenon_H28); [ zenon_intro zenon_H29; idtac ].
% 0.41/0.58 elim zenon_H29. zenon_intro zenon_TC_bq. zenon_intro zenon_H2b.
% 0.41/0.58 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_TB_bn zenon_TC_bq))->(before_on_line zenon_TL_bh zenon_TA_bk zenon_TC_bq)))) zenon_H2b); [ zenon_intro zenon_H2c; idtac ].
% 0.41/0.58 elim zenon_H2c. zenon_intro zenon_TD_bt. zenon_intro zenon_H2e.
% 0.41/0.58 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.41/0.58 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 0.41/0.58 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 0.41/0.58 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 0.41/0.58 generalize (oag10 zenon_TD_bt). zenon_intro zenon_H37.
% 0.41/0.58 generalize (zenon_H37 zenon_TL_bh). zenon_intro zenon_H38.
% 0.41/0.58 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39.
% 0.41/0.58 exact (zenon_H3a zenon_H35).
% 0.41/0.58 Qed.
% 0.41/0.58 % SZS output end Proof
% 0.41/0.58 (* END-PROOF *)
% 0.41/0.58 nodes searched: 902
% 0.41/0.58 max branch formulas: 695
% 0.41/0.58 proof nodes created: 71
% 0.41/0.58 formulas created: 6771
% 0.41/0.58
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