%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO216+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 07:00:57 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GEO216+3 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n022.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Fri Jun 17 20:47:32 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem con : (forall L : zenon_U, (~(orthogonal_lines L L))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notallex_s (fun L : zenon_U => (~(orthogonal_lines L L))) zenon_G); [ zenon_intro zenon_H24; idtac ]. % 0.19/0.49 elim zenon_H24. zenon_intro zenon_TL_bl. zenon_intro zenon_H26. % 0.19/0.49 apply zenon_H26. zenon_intro zenon_H27. % 0.19/0.49 generalize (a5 zenon_TL_bl). zenon_intro zenon_H28. % 0.19/0.49 generalize (zenon_H28 zenon_TL_bl). zenon_intro zenon_H29. % 0.19/0.49 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H2c; zenon_intro zenon_H2b | zenon_intro zenon_H27; zenon_intro zenon_H2a ]. % 0.19/0.49 exact (zenon_H2c zenon_H27). % 0.19/0.49 generalize (coipo1 zenon_TL_bl). zenon_intro zenon_H2d. % 0.19/0.49 generalize (zenon_H2d zenon_TL_bl). zenon_intro zenon_H2e. % 0.19/0.49 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H2f | zenon_intro zenon_H2b ]. % 0.19/0.49 apply zenon_H2f. zenon_intro zenon_H30. % 0.19/0.49 generalize (apart3 zenon_TL_bl). zenon_intro zenon_H31. % 0.19/0.49 exact (zenon_H31 zenon_H30). % 0.19/0.49 exact (zenon_H2b zenon_H2a). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 259 % 0.19/0.49 max branch formulas: 237 % 0.19/0.49 proof nodes created: 32 % 0.19/0.49 formulas created: 2017 % 0.19/0.49 %------------------------------------------------------------------------------