TSTP Solution File: GEO256+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO256+3 : TPTP v8.1.0. Released v4.0.0.
% 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 0.19s 0.50s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO256+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n007.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 12:23:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 (* PROOF-FOUND *)
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 (* BEGIN-PROOF *)
% 0.19/0.50 % SZS output start Proof
% 0.19/0.50 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)/\((incident_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))))))))).
% 0.19/0.50 Proof.
% 0.19/0.50 apply NNPP. intro zenon_G.
% 0.19/0.50 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)/\((incident_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_H25; idtac ].
% 0.19/0.50 elim zenon_H25. zenon_intro zenon_TL_bm. zenon_intro zenon_H27.
% 0.19/0.50 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)/\((incident_point_and_line C zenon_TL_bm)/\(left_apart_point D zenon_TL_bm))))->((before_on_line zenon_TL_bm A B)->((before_on_line zenon_TL_bm A C)\/(before_on_line zenon_TL_bm C B)))))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.19/0.50 elim zenon_H28. zenon_intro zenon_TA_bp. zenon_intro zenon_H2a.
% 0.19/0.50 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (((distinct_points zenon_TA_bp C)/\((distinct_points B C)/\((incident_point_and_line C zenon_TL_bm)/\(left_apart_point D zenon_TL_bm))))->((before_on_line zenon_TL_bm zenon_TA_bp B)->((before_on_line zenon_TL_bm zenon_TA_bp C)\/(before_on_line zenon_TL_bm C B))))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.19/0.50 elim zenon_H2b. zenon_intro zenon_TB_bs. zenon_intro zenon_H2d.
% 0.19/0.50 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((distinct_points zenon_TA_bp C)/\((distinct_points zenon_TB_bs C)/\((incident_point_and_line C zenon_TL_bm)/\(left_apart_point D zenon_TL_bm))))->((before_on_line zenon_TL_bm zenon_TA_bp zenon_TB_bs)->((before_on_line zenon_TL_bm zenon_TA_bp C)\/(before_on_line zenon_TL_bm C zenon_TB_bs)))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 0.19/0.50 elim zenon_H2e. zenon_intro zenon_TC_bv. zenon_intro zenon_H30.
% 0.19/0.50 apply (zenon_notallex_s (fun D : zenon_U => (((distinct_points zenon_TA_bp zenon_TC_bv)/\((distinct_points zenon_TB_bs zenon_TC_bv)/\((incident_point_and_line zenon_TC_bv zenon_TL_bm)/\(left_apart_point D zenon_TL_bm))))->((before_on_line zenon_TL_bm zenon_TA_bp zenon_TB_bs)->((before_on_line zenon_TL_bm zenon_TA_bp zenon_TC_bv)\/(before_on_line zenon_TL_bm zenon_TC_bv zenon_TB_bs))))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 0.19/0.50 elim zenon_H31. zenon_intro zenon_TD_by. zenon_intro zenon_H33.
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.19/0.50 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.19/0.50 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38.
% 0.19/0.50 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a.
% 0.19/0.50 generalize (ax10_basics zenon_TD_by). zenon_intro zenon_H3c.
% 0.19/0.50 generalize (zenon_H3c zenon_TL_bm). zenon_intro zenon_H3d.
% 0.19/0.50 apply (zenon_notor_s _ _ zenon_H3d). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 0.19/0.50 exact (zenon_H3f zenon_H3a).
% 0.19/0.50 Qed.
% 0.19/0.50 % SZS output end Proof
% 0.19/0.50 (* END-PROOF *)
% 0.19/0.50 nodes searched: 390
% 0.19/0.50 max branch formulas: 372
% 0.19/0.50 proof nodes created: 29
% 0.19/0.50 formulas created: 2935
% 0.19/0.50
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