TSTP Solution File: GEO221+3 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n005.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 07:01:02 EDT 2022
% Result : Theorem 10.63s 10.85s
% Output : Proof 10.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n005.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 18:37:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.63/10.85 (* PROOF-FOUND *)
% 10.63/10.85 % SZS status Theorem
% 10.63/10.85 (* BEGIN-PROOF *)
% 10.63/10.85 % SZS output start Proof
% 10.63/10.85 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, ((incident_point_and_line B (orthogonal_through_point L A))->(equal_lines (orthogonal_through_point L A) (orthogonal_through_point L B)))))).
% 10.63/10.85 Proof.
% 10.63/10.85 apply NNPP. intro zenon_G.
% 10.63/10.85 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, ((incident_point_and_line B (orthogonal_through_point L A))->(equal_lines (orthogonal_through_point L A) (orthogonal_through_point L B)))))) zenon_G); [ zenon_intro zenon_H24; idtac ].
% 10.63/10.85 elim zenon_H24. zenon_intro zenon_TA_bl. zenon_intro zenon_H26.
% 10.63/10.85 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, ((incident_point_and_line B (orthogonal_through_point L zenon_TA_bl))->(equal_lines (orthogonal_through_point L zenon_TA_bl) (orthogonal_through_point L B))))) zenon_H26); [ zenon_intro zenon_H27; idtac ].
% 10.63/10.85 elim zenon_H27. zenon_intro zenon_TB_bo. zenon_intro zenon_H29.
% 10.63/10.85 apply (zenon_notallex_s (fun L : zenon_U => ((incident_point_and_line zenon_TB_bo (orthogonal_through_point L zenon_TA_bl))->(equal_lines (orthogonal_through_point L zenon_TA_bl) (orthogonal_through_point L zenon_TB_bo)))) zenon_H29); [ zenon_intro zenon_H2a; idtac ].
% 10.63/10.85 elim zenon_H2a. zenon_intro zenon_TL_br. zenon_intro zenon_H2c.
% 10.63/10.85 apply (zenon_notimply_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 10.63/10.85 generalize (a4 zenon_TB_bo). zenon_intro zenon_H2f.
% 10.63/10.85 generalize (zenon_H2f (orthogonal_through_point zenon_TL_br zenon_TA_bl)). zenon_intro zenon_H30.
% 10.63/10.85 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H33; zenon_intro zenon_H32 | zenon_intro zenon_H2e; zenon_intro zenon_H31 ].
% 10.63/10.85 exact (zenon_H33 zenon_H2e).
% 10.63/10.85 generalize (ax2 (orthogonal_through_point zenon_TL_br zenon_TA_bl)). zenon_intro zenon_H34.
% 10.63/10.85 generalize (zenon_H34 (orthogonal_through_point zenon_TL_br zenon_TB_bo)). zenon_intro zenon_H35.
% 10.63/10.85 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H2d; zenon_intro zenon_H38 | zenon_intro zenon_H37; zenon_intro zenon_H36 ].
% 10.63/10.85 apply zenon_H38. zenon_intro zenon_H39.
% 10.63/10.85 generalize (ooc2 zenon_TB_bo). zenon_intro zenon_H3a.
% 10.63/10.85 generalize (zenon_H3a zenon_TL_br). zenon_intro zenon_H3b.
% 10.63/10.85 generalize (ooc1 zenon_TA_bl). zenon_intro zenon_H3c.
% 10.63/10.85 generalize (ooc1 zenon_TB_bo). zenon_intro zenon_H3d.
% 10.63/10.85 generalize (ouo1 zenon_TB_bo). zenon_intro zenon_H3e.
% 10.63/10.85 generalize (zenon_H3e (orthogonal_through_point zenon_TL_br zenon_TA_bl)). zenon_intro zenon_H3f.
% 10.63/10.85 generalize (zenon_H3f (orthogonal_through_point zenon_TL_br zenon_TB_bo)). zenon_intro zenon_H40.
% 10.63/10.85 generalize (zenon_H3d zenon_TL_br). zenon_intro zenon_H41.
% 10.63/10.85 generalize (zenon_H40 zenon_TL_br). zenon_intro zenon_H42.
% 10.63/10.85 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H36 | zenon_intro zenon_H43 ].
% 10.63/10.85 exact (zenon_H36 zenon_H39).
% 10.63/10.85 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 10.63/10.85 exact (zenon_H31 zenon_H45).
% 10.63/10.85 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 10.63/10.85 exact (zenon_H3b zenon_H47).
% 10.63/10.85 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ].
% 10.63/10.85 generalize (zenon_H3c zenon_TL_br). zenon_intro zenon_H4a.
% 10.63/10.85 exact (zenon_H4a zenon_H49).
% 10.63/10.85 exact (zenon_H41 zenon_H48).
% 10.63/10.85 exact (zenon_H2d zenon_H37).
% 10.63/10.85 Qed.
% 10.63/10.85 % SZS output end Proof
% 10.63/10.85 (* END-PROOF *)
% 10.63/10.85 nodes searched: 1640333
% 10.63/10.85 max branch formulas: 14429
% 10.63/10.85 proof nodes created: 36876
% 10.63/10.85 formulas created: 2545603
% 10.63/10.85
%------------------------------------------------------------------------------