%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO227+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : GEO227+3 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % 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 14:40:39 EDT 2022 % 0.12/0.34 % CPUTime : % 0.20/0.51 (* PROOF-FOUND *) % 0.20/0.51 % SZS status Theorem % 0.20/0.51 (* BEGIN-PROOF *) % 0.20/0.51 % SZS output start Proof % 0.20/0.51 Theorem con : (forall L : zenon_U, (forall M : zenon_U, (~((equally_directed_lines L M)/\(equally_directed_opposite_lines L M))))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (~((equally_directed_lines L M)/\(equally_directed_opposite_lines L M))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.20/0.51 elim zenon_H25. zenon_intro zenon_TL_bm. zenon_intro zenon_H27. % 0.20/0.51 apply (zenon_notallex_s (fun M : zenon_U => (~((equally_directed_lines zenon_TL_bm M)/\(equally_directed_opposite_lines zenon_TL_bm M)))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.20/0.51 elim zenon_H28. zenon_intro zenon_TM_bp. zenon_intro zenon_H2a. % 0.20/0.51 apply zenon_H2a. zenon_intro zenon_H2b. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.20/0.51 generalize (a4_defns zenon_TL_bm). zenon_intro zenon_H2e. % 0.20/0.51 generalize (zenon_H2e zenon_TM_bp). zenon_intro zenon_H2f. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H2f); [ zenon_intro zenon_H32; zenon_intro zenon_H31 | zenon_intro zenon_H2d; zenon_intro zenon_H30 ]. % 0.20/0.51 exact (zenon_H32 zenon_H2d). % 0.20/0.51 generalize (a5_defns zenon_TL_bm). zenon_intro zenon_H33. % 0.20/0.51 generalize (zenon_H33 zenon_TM_bp). zenon_intro zenon_H34. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H37; zenon_intro zenon_H36 | zenon_intro zenon_H2c; zenon_intro zenon_H35 ]. % 0.20/0.51 exact (zenon_H37 zenon_H2c). % 0.20/0.51 generalize (a1_defns zenon_TL_bm). zenon_intro zenon_H38. % 0.20/0.51 generalize (zenon_H38 zenon_TM_bp). zenon_intro zenon_H39. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H35; zenon_intro zenon_H3c | zenon_intro zenon_H3b; zenon_intro zenon_H3a ]. % 0.20/0.51 generalize (ax8_basics zenon_TL_bm). zenon_intro zenon_H3d. % 0.20/0.51 generalize (zenon_H3d zenon_TM_bp). zenon_intro zenon_H3e. % 0.20/0.51 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H3a ]. % 0.20/0.51 exact (zenon_H30 zenon_H3f). % 0.20/0.51 exact (zenon_H3c zenon_H3a). % 0.20/0.51 exact (zenon_H35 zenon_H3b). % 0.20/0.51 Qed. % 0.20/0.51 % SZS output end Proof % 0.20/0.51 (* END-PROOF *) % 0.20/0.51 nodes searched: 215 % 0.20/0.51 max branch formulas: 235 % 0.20/0.51 proof nodes created: 18 % 0.20/0.51 formulas created: 1985 % 0.20/0.51 %------------------------------------------------------------------------------