%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 07:01:09 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : GEO232+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.10/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n011.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sat Jun 18 12:49:53 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.51 (* PROOF-FOUND *) % 0.20/0.51 % SZS status Theorem % 0.20/0.51 (* BEGIN-PROOF *) % 0.20/0.51 % SZS output start Proof % 0.20/0.51 Theorem con : (forall L : zenon_U, ((line L)->(unequally_directed_lines L (reverse_line L)))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notallex_s (fun L : zenon_U => ((line L)->(unequally_directed_lines L (reverse_line L)))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.20/0.51 elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H22). zenon_intro zenon_H24. zenon_intro zenon_H23. % 0.20/0.51 generalize (oag8 zenon_TL_bh). zenon_intro zenon_H25. % 0.20/0.51 generalize (oag5 zenon_TL_bh). zenon_intro zenon_H26. % 0.20/0.51 generalize (zenon_H25 zenon_TL_bh). zenon_intro zenon_H27. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.20/0.51 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H2a ]. % 0.20/0.51 exact (zenon_H2a zenon_H24). % 0.20/0.51 exact (zenon_H2a zenon_H24). % 0.20/0.51 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.20/0.51 exact (zenon_H26 zenon_H2c). % 0.20/0.51 exact (zenon_H23 zenon_H2b). % 0.20/0.51 Qed. % 0.20/0.51 % SZS output end Proof % 0.20/0.51 (* END-PROOF *) % 0.20/0.51 nodes searched: 207 % 0.20/0.51 max branch formulas: 224 % 0.20/0.51 proof nodes created: 14 % 0.20/0.51 formulas created: 1927 % 0.20/0.51 %------------------------------------------------------------------------------