%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO232+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n008.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 07:01:09 EDT 2022 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : GEO232+3 : TPTP v8.1.0. Released v4.0.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n008.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 22:31:37 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.50 (* PROOF-FOUND *) % 0.20/0.50 % SZS status Theorem % 0.20/0.50 (* BEGIN-PROOF *) % 0.20/0.50 % SZS output start Proof % 0.20/0.50 Theorem con : (forall L : zenon_U, (unequally_directed_opposite_lines L L)). % 0.20/0.50 Proof. % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply (zenon_notallex_s (fun L : zenon_U => (unequally_directed_opposite_lines L L)) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.20/0.50 elim zenon_H25. zenon_intro zenon_TL_bm. zenon_intro zenon_H27. % 0.20/0.50 generalize (a1_defns zenon_TL_bm). zenon_intro zenon_H28. % 0.20/0.50 generalize (zenon_H28 zenon_TL_bm). zenon_intro zenon_H29. % 0.20/0.50 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H27; zenon_intro zenon_H2c | zenon_intro zenon_H2b; zenon_intro zenon_H2a ]. % 0.20/0.50 generalize (ax8_basics zenon_TL_bm). zenon_intro zenon_H2d. % 0.20/0.50 generalize (zenon_H2d zenon_TL_bm). zenon_intro zenon_H2e. % 0.20/0.50 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H2f | zenon_intro zenon_H2a ]. % 0.20/0.50 generalize (ax6_basics zenon_TL_bm). zenon_intro zenon_H30. % 0.20/0.50 generalize (zenon_H30 zenon_TL_bm). zenon_intro zenon_H31. % 0.20/0.50 generalize (zenon_H31 (reverse_line zenon_TL_bm)). zenon_intro zenon_H32. % 0.20/0.50 apply (zenon_imply_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 0.20/0.50 exact (zenon_H34 zenon_H2f). % 0.20/0.50 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H2a | zenon_intro zenon_H2a ]. % 0.20/0.50 exact (zenon_H2c zenon_H2a). % 0.20/0.50 exact (zenon_H2c zenon_H2a). % 0.20/0.50 exact (zenon_H2c zenon_H2a). % 0.20/0.50 exact (zenon_H27 zenon_H2b). % 0.20/0.50 Qed. % 0.20/0.50 % SZS output end Proof % 0.20/0.50 (* END-PROOF *) % 0.20/0.50 nodes searched: 334 % 0.20/0.50 max branch formulas: 293 % 0.20/0.50 proof nodes created: 30 % 0.20/0.50 formulas created: 2365 % 0.20/0.50 %------------------------------------------------------------------------------