%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 07:00:45 EDT 2022 % Result : Theorem 0.43s 0.60s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : GEO201+2 : TPTP v8.1.0. Released v3.3.0. % 0.08/0.15 % Command : run_zenon %s %d % 0.15/0.36 % Computer : n017.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Fri Jun 17 16:28:11 EDT 2022 % 0.15/0.37 % CPUTime : % 0.43/0.60 (* PROOF-FOUND *) % 0.43/0.60 % SZS status Theorem % 0.43/0.60 (* BEGIN-PROOF *) % 0.43/0.60 % SZS output start Proof % 0.43/0.60 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, ((convergent_lines X Y)->(~(distinct_points (intersection_point X Y) (intersection_point Y X)))))). % 0.43/0.60 Proof. % 0.43/0.60 apply NNPP. intro zenon_G. % 0.43/0.60 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((convergent_lines X Y)->(~(distinct_points (intersection_point X Y) (intersection_point Y X)))))) zenon_G); [ zenon_intro zenon_Hd; idtac ]. % 0.43/0.60 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf. % 0.43/0.60 apply (zenon_notallex_s (fun Y : zenon_U => ((convergent_lines zenon_TX_o Y)->(~(distinct_points (intersection_point zenon_TX_o Y) (intersection_point Y zenon_TX_o))))) zenon_Hf); [ zenon_intro zenon_H10; idtac ]. % 0.43/0.60 elim zenon_H10. zenon_intro zenon_TY_r. zenon_intro zenon_H12. % 0.43/0.60 apply (zenon_notimply_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.43/0.60 apply zenon_H13. zenon_intro zenon_H15. % 0.43/0.60 generalize (apart6 zenon_TX_o). zenon_intro zenon_H16. % 0.43/0.60 generalize (zenon_H16 zenon_TY_r). zenon_intro zenon_H17. % 0.43/0.60 generalize (con2 zenon_TY_r). zenon_intro zenon_H18. % 0.43/0.60 generalize (zenon_H18 zenon_TX_o). zenon_intro zenon_H19. % 0.43/0.60 generalize (apart1 (intersection_point zenon_TY_r zenon_TX_o)). zenon_intro zenon_H1a. % 0.43/0.60 generalize (cu1 (intersection_point zenon_TX_o zenon_TY_r)). zenon_intro zenon_H1b. % 0.43/0.60 generalize (zenon_H19 (intersection_point zenon_TY_r zenon_TX_o)). zenon_intro zenon_H1c. % 0.43/0.60 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.43/0.60 generalize (zenon_H17 zenon_TX_o). zenon_intro zenon_H1f. % 0.43/0.60 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.43/0.60 exact (zenon_H21 zenon_H14). % 0.43/0.60 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.43/0.60 generalize (apart3 zenon_TX_o). zenon_intro zenon_H24. % 0.43/0.60 exact (zenon_H24 zenon_H23). % 0.43/0.60 exact (zenon_H1e zenon_H22). % 0.43/0.60 apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 0.43/0.60 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H28. zenon_intro zenon_H27. % 0.43/0.60 generalize (zenon_H1b (intersection_point zenon_TY_r zenon_TX_o)). zenon_intro zenon_H29. % 0.43/0.60 generalize (apart1 (intersection_point zenon_TX_o zenon_TY_r)). zenon_intro zenon_H2a. % 0.43/0.60 generalize (con2 zenon_TX_o). zenon_intro zenon_H2b. % 0.43/0.60 generalize (zenon_H2b zenon_TY_r). zenon_intro zenon_H2c. % 0.43/0.60 generalize (zenon_H2c (intersection_point zenon_TX_o zenon_TY_r)). zenon_intro zenon_H2d. % 0.43/0.60 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H21 | zenon_intro zenon_H2e ]. % 0.43/0.60 exact (zenon_H21 zenon_H14). % 0.43/0.60 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.43/0.60 apply (zenon_notor_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.43/0.60 generalize (zenon_H29 zenon_TX_o). zenon_intro zenon_H33. % 0.43/0.60 generalize (zenon_H33 zenon_TY_r). zenon_intro zenon_H34. % 0.43/0.60 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 0.43/0.60 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.43/0.60 exact (zenon_H38 zenon_H15). % 0.43/0.60 generalize (ceq3 zenon_TX_o). zenon_intro zenon_H39. % 0.43/0.60 generalize (zenon_H39 zenon_TY_r). zenon_intro zenon_H3a. % 0.43/0.60 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H21 | zenon_intro zenon_H3b ]. % 0.43/0.60 exact (zenon_H21 zenon_H14). % 0.43/0.60 exact (zenon_H37 zenon_H3b). % 0.43/0.60 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.43/0.60 exact (zenon_H32 zenon_H3d). % 0.43/0.60 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.43/0.60 exact (zenon_H31 zenon_H3f). % 0.43/0.60 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ]. % 0.43/0.60 exact (zenon_H27 zenon_H41). % 0.43/0.60 exact (zenon_H28 zenon_H40). % 0.43/0.60 exact (zenon_H2a zenon_H2f). % 0.43/0.60 exact (zenon_H1a zenon_H25). % 0.43/0.60 Qed. % 0.43/0.60 % SZS output end Proof % 0.43/0.60 (* END-PROOF *) % 0.43/0.60 nodes searched: 2342 % 0.43/0.60 max branch formulas: 806 % 0.43/0.60 proof nodes created: 253 % 0.43/0.60 formulas created: 8281 % 0.43/0.60 %------------------------------------------------------------------------------