TSTP Solution File: GEO257+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO257+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n009.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 07:01:23 EDT 2022
% Result : Theorem 0.19s 0.51s
% 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
% 0.03/0.12 % Problem : GEO257+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n009.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 00:47:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 (* PROOF-FOUND *)
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 (* BEGIN-PROOF *)
% 0.19/0.51 % SZS output start Proof
% 0.19/0.51 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 B C))->(before_on_line L A C)))))))).
% 0.19/0.51 Proof.
% 0.19/0.51 apply NNPP. intro zenon_G.
% 0.19/0.51 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 B C))->(before_on_line L A C)))))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.19/0.51 elim zenon_H25. zenon_intro zenon_TL_bm. zenon_intro zenon_H27.
% 0.19/0.51 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 B C))->(before_on_line zenon_TL_bm A C))))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.19/0.51 elim zenon_H28. zenon_intro zenon_TA_bp. zenon_intro zenon_H2a.
% 0.19/0.51 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 B C))->(before_on_line zenon_TL_bm zenon_TA_bp C)))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.19/0.51 elim zenon_H2b. zenon_intro zenon_TB_bs. zenon_intro zenon_H2d.
% 0.19/0.51 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_TB_bs C))->(before_on_line zenon_TL_bm zenon_TA_bp C))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 0.19/0.51 elim zenon_H2e. zenon_intro zenon_TC_bv. zenon_intro zenon_H30.
% 0.19/0.51 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_TB_bs zenon_TC_bv))->(before_on_line zenon_TL_bm zenon_TA_bp zenon_TC_bv)))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 0.19/0.51 elim zenon_H31. zenon_intro zenon_TD_by. zenon_intro zenon_H33.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38.
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a.
% 0.19/0.51 generalize (ax10_basics zenon_TD_by). zenon_intro zenon_H3c.
% 0.19/0.51 generalize (zenon_H3c zenon_TL_bm). zenon_intro zenon_H3d.
% 0.19/0.51 apply (zenon_notor_s _ _ zenon_H3d). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 0.19/0.51 exact (zenon_H3f zenon_H3a).
% 0.19/0.51 Qed.
% 0.19/0.51 % SZS output end Proof
% 0.19/0.51 (* END-PROOF *)
% 0.19/0.51 nodes searched: 389
% 0.19/0.51 max branch formulas: 371
% 0.19/0.51 proof nodes created: 29
% 0.19/0.51 formulas created: 2931
% 0.19/0.51
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