%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n015.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 07:00:23 EDT 2022 % Result : Theorem 0.41s 0.56s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n015.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sat Jun 18 11:25:43 EDT 2022 % 0.13/0.34 % CPUTime : % 0.41/0.56 (* PROOF-FOUND *) % 0.41/0.56 % SZS status Theorem % 0.41/0.56 (* BEGIN-PROOF *) % 0.41/0.56 % SZS output start Proof % 0.41/0.56 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall U : zenon_U, (forall V : zenon_U, (((distinct_points X Y)/\((convergent_lines U V)/\((apart_point_and_line X U)\/(apart_point_and_line Y U))))->(distinct_lines U (line_connecting X Y))))))). % 0.41/0.56 Proof. % 0.41/0.56 apply NNPP. intro zenon_G. % 0.41/0.56 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall U : zenon_U, (forall V : zenon_U, (((distinct_points X Y)/\((convergent_lines U V)/\((apart_point_and_line X U)\/(apart_point_and_line Y U))))->(distinct_lines U (line_connecting X Y))))))) zenon_G); [ zenon_intro zenon_H24; idtac ]. % 0.41/0.56 elim zenon_H24. zenon_intro zenon_TX_bl. zenon_intro zenon_H26. % 0.41/0.56 apply (zenon_notallex_s (fun Y : zenon_U => (forall U : zenon_U, (forall V : zenon_U, (((distinct_points zenon_TX_bl Y)/\((convergent_lines U V)/\((apart_point_and_line zenon_TX_bl U)\/(apart_point_and_line Y U))))->(distinct_lines U (line_connecting zenon_TX_bl Y)))))) zenon_H26); [ zenon_intro zenon_H27; idtac ]. % 0.41/0.56 elim zenon_H27. zenon_intro zenon_TY_bo. zenon_intro zenon_H29. % 0.41/0.56 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines U V)/\((apart_point_and_line zenon_TX_bl U)\/(apart_point_and_line zenon_TY_bo U))))->(distinct_lines U (line_connecting zenon_TX_bl zenon_TY_bo))))) zenon_H29); [ zenon_intro zenon_H2a; idtac ]. % 0.41/0.56 elim zenon_H2a. zenon_intro zenon_TU_br. zenon_intro zenon_H2c. % 0.41/0.56 apply (zenon_notallex_s (fun V : zenon_U => (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines zenon_TU_br V)/\((apart_point_and_line zenon_TX_bl zenon_TU_br)\/(apart_point_and_line zenon_TY_bo zenon_TU_br))))->(distinct_lines zenon_TU_br (line_connecting zenon_TX_bl zenon_TY_bo)))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ]. % 0.41/0.56 elim zenon_H2d. zenon_intro zenon_TV_bu. zenon_intro zenon_H2f. % 0.41/0.56 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.41/0.56 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.41/0.56 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.41/0.56 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.41/0.56 generalize (ceq2 zenon_TX_bl). zenon_intro zenon_H38. % 0.41/0.56 generalize (zenon_H38 zenon_TU_br). zenon_intro zenon_H39. % 0.41/0.56 generalize (ci1 zenon_TX_bl). zenon_intro zenon_H3a. % 0.41/0.56 generalize (zenon_H3a zenon_TY_bo). zenon_intro zenon_H3b. % 0.41/0.56 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.41/0.56 exact (zenon_H3d zenon_H33). % 0.41/0.56 generalize (zenon_H39 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H3e. % 0.41/0.56 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.41/0.56 exact (zenon_H40 zenon_H37). % 0.41/0.56 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.41/0.56 exact (zenon_H30 zenon_H42). % 0.41/0.56 exact (zenon_H3c zenon_H41). % 0.41/0.56 generalize (ceq2 zenon_TY_bo). zenon_intro zenon_H43. % 0.41/0.56 generalize (zenon_H43 zenon_TU_br). zenon_intro zenon_H44. % 0.41/0.56 generalize (ci2 zenon_TX_bl). zenon_intro zenon_H45. % 0.41/0.56 generalize (zenon_H45 zenon_TY_bo). zenon_intro zenon_H46. % 0.41/0.56 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H3d | zenon_intro zenon_H47 ]. % 0.41/0.56 exact (zenon_H3d zenon_H33). % 0.41/0.56 generalize (zenon_H44 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H48. % 0.41/0.56 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 0.41/0.56 exact (zenon_H4a zenon_H36). % 0.41/0.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H42 | zenon_intro zenon_H4b ]. % 0.41/0.56 exact (zenon_H30 zenon_H42). % 0.41/0.56 exact (zenon_H47 zenon_H4b). % 0.41/0.56 Qed. % 0.41/0.56 % SZS output end Proof % 0.41/0.56 (* END-PROOF *) % 0.41/0.56 nodes searched: 2785 % 0.41/0.56 max branch formulas: 902 % 0.41/0.56 proof nodes created: 218 % 0.41/0.56 formulas created: 10313 % 0.41/0.56 %------------------------------------------------------------------------------