%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 0.17s 0.48s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.11/0.32 % Computer : n028.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Sat Jun 18 08:44:13 EDT 2022 % 0.11/0.33 % CPUTime : % 0.17/0.48 (* PROOF-FOUND *) % 0.17/0.48 % SZS status Theorem % 0.17/0.48 (* BEGIN-PROOF *) % 0.17/0.48 % SZS output start Proof % 0.17/0.48 Theorem con : (forall L : zenon_U, (forall M : zenon_U, ((~(convergent_lines L M))<->((~(unequally_directed_lines L M))\/(~(unequally_directed_lines L (reverse_line M))))))). % 0.17/0.48 Proof. % 0.17/0.48 apply NNPP. intro zenon_G. % 0.17/0.48 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, ((~(convergent_lines L M))<->((~(unequally_directed_lines L M))\/(~(unequally_directed_lines L (reverse_line M))))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.17/0.48 elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22. % 0.17/0.48 apply (zenon_notallex_s (fun M : zenon_U => ((~(convergent_lines zenon_TL_bh M))<->((~(unequally_directed_lines zenon_TL_bh M))\/(~(unequally_directed_lines zenon_TL_bh (reverse_line M)))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.17/0.48 elim zenon_H23. zenon_intro zenon_TM_bk. zenon_intro zenon_H25. % 0.17/0.48 apply (zenon_notequiv_s _ _ zenon_H25); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro zenon_H27; zenon_intro zenon_H26 ]. % 0.17/0.48 apply zenon_H29. zenon_intro zenon_H2a. % 0.17/0.48 generalize (con_def zenon_TL_bh). zenon_intro zenon_H2b. % 0.17/0.48 generalize (zenon_H2b zenon_TM_bk). zenon_intro zenon_H2c. % 0.17/0.48 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H27; zenon_intro zenon_H2e | zenon_intro zenon_H2a; zenon_intro zenon_H2d ]. % 0.17/0.48 exact (zenon_H27 zenon_H2a). % 0.17/0.48 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.17/0.48 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 0.17/0.48 exact (zenon_H32 zenon_H30). % 0.17/0.48 exact (zenon_H31 zenon_H2f). % 0.17/0.48 generalize (con_def zenon_TL_bh). zenon_intro zenon_H2b. % 0.17/0.48 generalize (zenon_H2b zenon_TM_bk). zenon_intro zenon_H2c. % 0.17/0.48 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H27; zenon_intro zenon_H2e | zenon_intro zenon_H2a; zenon_intro zenon_H2d ]. % 0.17/0.48 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H34. zenon_intro zenon_H33. % 0.17/0.48 apply zenon_H34. zenon_intro zenon_H30. % 0.17/0.48 apply zenon_H33. zenon_intro zenon_H2f. % 0.17/0.48 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 0.17/0.48 exact (zenon_H32 zenon_H30). % 0.17/0.48 exact (zenon_H31 zenon_H2f). % 0.17/0.48 exact (zenon_H27 zenon_H2a). % 0.17/0.48 Qed. % 0.17/0.48 % SZS output end Proof % 0.17/0.48 (* END-PROOF *) % 0.17/0.48 nodes searched: 18 % 0.17/0.48 max branch formulas: 39 % 0.17/0.48 proof nodes created: 16 % 0.17/0.48 formulas created: 569 % 0.17/0.48 %------------------------------------------------------------------------------