TSTP Solution File: GEO253+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO253+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 07:01:20 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO253+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n026.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 : Fri Jun 17 20:45:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 (* PROOF-FOUND *)
% 0.18/0.51 % SZS status Theorem
% 0.18/0.51 (* BEGIN-PROOF *)
% 0.18/0.51 % SZS output start Proof
% 0.18/0.51 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((apart_point_and_line A L)/\(~(apart_point_and_line B (parallel_through_point L A))))->(apart_point_and_line B L))))).
% 0.18/0.51 Proof.
% 0.18/0.51 apply NNPP. intro zenon_G.
% 0.18/0.51 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((apart_point_and_line A L)/\(~(apart_point_and_line B (parallel_through_point L A))))->(apart_point_and_line B L))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.18/0.51 elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22.
% 0.18/0.51 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((apart_point_and_line zenon_TA_bh L)/\(~(apart_point_and_line B (parallel_through_point L zenon_TA_bh))))->(apart_point_and_line B L)))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.18/0.51 elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25.
% 0.18/0.51 apply (zenon_notallex_s (fun L : zenon_U => (((apart_point_and_line zenon_TA_bh L)/\(~(apart_point_and_line zenon_TB_bk (parallel_through_point L zenon_TA_bh))))->(apart_point_and_line zenon_TB_bk L))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.18/0.51 elim zenon_H26. zenon_intro zenon_TL_bn. zenon_intro zenon_H28.
% 0.18/0.51 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.18/0.51 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 0.18/0.51 generalize (apt_def zenon_TA_bh). zenon_intro zenon_H2d.
% 0.18/0.51 generalize (zenon_H2d zenon_TL_bn). zenon_intro zenon_H2e.
% 0.18/0.51 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_H30 | zenon_intro zenon_H2c; zenon_intro zenon_H2f ].
% 0.18/0.51 exact (zenon_H31 zenon_H2c).
% 0.18/0.51 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.18/0.51 generalize (oag10 zenon_TA_bh). zenon_intro zenon_H34.
% 0.18/0.51 generalize (zenon_H34 zenon_TL_bn). zenon_intro zenon_H30.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 0.18/0.51 exact (zenon_H36 zenon_H33).
% 0.18/0.51 generalize (oag10 zenon_TA_bh). zenon_intro zenon_H34.
% 0.18/0.51 generalize (zenon_H34 zenon_TL_bn). zenon_intro zenon_H30.
% 0.18/0.51 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 0.18/0.51 exact (zenon_H35 zenon_H32).
% 0.18/0.51 Qed.
% 0.18/0.51 % SZS output end Proof
% 0.18/0.51 (* END-PROOF *)
% 0.18/0.51 nodes searched: 738
% 0.18/0.51 max branch formulas: 371
% 0.18/0.51 proof nodes created: 56
% 0.18/0.51 formulas created: 3275
% 0.18/0.51
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