%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO265+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 07:01:26 EDT 2022 % Result : Theorem 0.18s 0.48s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : GEO265+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n023.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Fri Jun 17 22:37:49 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.48 (* PROOF-FOUND *) % 0.18/0.48 % SZS status Theorem % 0.18/0.48 (* BEGIN-PROOF *) % 0.18/0.48 % SZS output start Proof % 0.18/0.48 Theorem con : (forall L : zenon_U, (forall M : zenon_U, ((equally_directed_lines L (reverse_line M))->(equally_directed_opposite_lines L M)))). % 0.18/0.48 Proof. % 0.18/0.48 apply NNPP. intro zenon_G. % 0.18/0.48 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, ((equally_directed_lines L (reverse_line M))->(equally_directed_opposite_lines L M)))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.18/0.48 elim zenon_H25. zenon_intro zenon_TL_bm. zenon_intro zenon_H27. % 0.18/0.48 apply (zenon_notallex_s (fun M : zenon_U => ((equally_directed_lines zenon_TL_bm (reverse_line M))->(equally_directed_opposite_lines zenon_TL_bm M))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.18/0.48 elim zenon_H28. zenon_intro zenon_TM_bp. zenon_intro zenon_H2a. % 0.18/0.48 apply (zenon_notimply_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.18/0.48 generalize (a4_defns zenon_TL_bm). zenon_intro zenon_H2d. % 0.18/0.48 generalize (zenon_H2d (reverse_line zenon_TM_bp)). zenon_intro zenon_H2e. % 0.18/0.48 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_H30 | zenon_intro zenon_H2c; zenon_intro zenon_H2f ]. % 0.18/0.48 exact (zenon_H31 zenon_H2c). % 0.18/0.48 generalize (a5_defns zenon_TL_bm). zenon_intro zenon_H32. % 0.18/0.48 generalize (zenon_H32 zenon_TM_bp). zenon_intro zenon_H33. % 0.18/0.48 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H2b; zenon_intro zenon_H36 | zenon_intro zenon_H35; zenon_intro zenon_H34 ]. % 0.18/0.48 apply zenon_H36. zenon_intro zenon_H37. % 0.18/0.48 generalize (a1_defns zenon_TL_bm). zenon_intro zenon_H38. % 0.18/0.48 generalize (zenon_H38 zenon_TM_bp). zenon_intro zenon_H39. % 0.18/0.48 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H34; zenon_intro zenon_H2f | zenon_intro zenon_H37; zenon_intro zenon_H3a ]. % 0.18/0.48 exact (zenon_H34 zenon_H37). % 0.18/0.48 exact (zenon_H2f zenon_H3a). % 0.18/0.48 exact (zenon_H2b zenon_H35). % 0.18/0.48 Qed. % 0.18/0.48 % SZS output end Proof % 0.18/0.48 (* END-PROOF *) % 0.18/0.48 nodes searched: 8 % 0.18/0.48 max branch formulas: 36 % 0.18/0.48 proof nodes created: 8 % 0.18/0.48 formulas created: 593 % 0.18/0.48 %------------------------------------------------------------------------------