%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n006.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 07:01:06 EDT 2022 % Result : Theorem 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n006.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 18:50:25 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.50 (* PROOF-FOUND *) % 0.18/0.50 % SZS status Theorem % 0.18/0.50 (* BEGIN-PROOF *) % 0.18/0.50 % SZS output start Proof % 0.18/0.50 Theorem con : (forall L : zenon_U, (forall M : zenon_U, (((line L)/\(line M))->(~((~(unequally_directed_lines L M))/\(~(unequally_directed_lines L (reverse_line M)))))))). % 0.18/0.50 Proof. % 0.18/0.50 apply NNPP. intro zenon_G. % 0.18/0.50 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((line L)/\(line M))->(~((~(unequally_directed_lines L M))/\(~(unequally_directed_lines L (reverse_line M)))))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.18/0.50 elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22. % 0.18/0.50 apply (zenon_notallex_s (fun M : zenon_U => (((line zenon_TL_bh)/\(line M))->(~((~(unequally_directed_lines zenon_TL_bh M))/\(~(unequally_directed_lines zenon_TL_bh (reverse_line M))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.18/0.50 elim zenon_H23. zenon_intro zenon_TM_bk. zenon_intro zenon_H25. % 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H25). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.18/0.50 apply zenon_H26. zenon_intro zenon_H28. % 0.18/0.50 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.18/0.50 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.18/0.50 generalize (oag8 zenon_TL_bh). zenon_intro zenon_H2d. % 0.18/0.50 generalize (zenon_H2d zenon_TM_bk). zenon_intro zenon_H2e. % 0.18/0.50 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.18/0.50 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 0.18/0.50 exact (zenon_H32 zenon_H2c). % 0.18/0.50 exact (zenon_H31 zenon_H2b). % 0.18/0.50 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 0.18/0.50 exact (zenon_H2a zenon_H34). % 0.18/0.50 exact (zenon_H29 zenon_H33). % 0.18/0.50 Qed. % 0.18/0.50 % SZS output end Proof % 0.18/0.50 (* END-PROOF *) % 0.18/0.50 nodes searched: 218 % 0.18/0.50 max branch formulas: 236 % 0.18/0.50 proof nodes created: 17 % 0.18/0.50 formulas created: 2040 % 0.18/0.50 %------------------------------------------------------------------------------