%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO229+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n015.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 07:01:07 EDT 2022 % Result : Theorem 0.20s 0.49s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO229+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.00/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n015.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jun 18 16:45:13 EDT 2022 % 0.12/0.34 % CPUTime : % 0.20/0.49 (* PROOF-FOUND *) % 0.20/0.49 % SZS status Theorem % 0.20/0.49 (* BEGIN-PROOF *) % 0.20/0.49 % SZS output start Proof % 0.20/0.49 Theorem con : (forall L : zenon_U, (forall M : zenon_U, ((~(unequally_directed_lines L (reverse_line M)))->(~(unequally_directed_lines L (reverse_line M)))))). % 0.20/0.49 Proof. % 0.20/0.49 apply NNPP. intro zenon_G. % 0.20/0.49 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, ((~(unequally_directed_lines L (reverse_line M)))->(~(unequally_directed_lines L (reverse_line M)))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.20/0.49 elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22. % 0.20/0.49 apply (zenon_notallex_s (fun M : zenon_U => ((~(unequally_directed_lines zenon_TL_bh (reverse_line M)))->(~(unequally_directed_lines zenon_TL_bh (reverse_line M))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.20/0.49 elim zenon_H23. zenon_intro zenon_TM_bk. zenon_intro zenon_H25. % 0.20/0.49 apply (zenon_notimply_s _ _ zenon_H25). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.20/0.49 exact (zenon_H26 zenon_H27). % 0.20/0.49 Qed. % 0.20/0.49 % SZS output end Proof % 0.20/0.49 (* END-PROOF *) % 0.20/0.49 nodes searched: 4 % 0.20/0.49 max branch formulas: 33 % 0.20/0.49 proof nodes created: 4 % 0.20/0.49 formulas created: 526 % 0.20/0.49 %------------------------------------------------------------------------------