%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO174+1 : 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 07:00:23 EDT 2022 % Result : Theorem 0.42s 0.61s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO174+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n017.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 : Fri Jun 17 20:02:57 EDT 2022 % 0.13/0.34 % CPUTime : % 0.42/0.61 (* PROOF-FOUND *) % 0.42/0.61 % SZS status Theorem % 0.42/0.61 (* BEGIN-PROOF *) % 0.42/0.61 % SZS output start Proof % 0.42/0.61 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))))))). % 0.42/0.61 Proof. % 0.42/0.61 apply NNPP. intro zenon_G. % 0.42/0.61 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_Hf; idtac ]. % 0.42/0.61 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11. % 0.42/0.61 apply (zenon_notallex_s (fun Y : zenon_U => (forall U : zenon_U, (forall V : zenon_U, (((distinct_points zenon_TX_q Y)/\((convergent_lines U V)/\((apart_point_and_line zenon_TX_q U)\/(apart_point_and_line Y U))))->(distinct_lines U (line_connecting zenon_TX_q Y)))))) zenon_H11); [ zenon_intro zenon_H12; idtac ]. % 0.42/0.61 elim zenon_H12. zenon_intro zenon_TY_t. zenon_intro zenon_H14. % 0.42/0.61 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (((distinct_points zenon_TX_q zenon_TY_t)/\((convergent_lines U V)/\((apart_point_and_line zenon_TX_q U)\/(apart_point_and_line zenon_TY_t U))))->(distinct_lines U (line_connecting zenon_TX_q zenon_TY_t))))) zenon_H14); [ zenon_intro zenon_H15; idtac ]. % 0.42/0.61 elim zenon_H15. zenon_intro zenon_TU_w. zenon_intro zenon_H17. % 0.42/0.61 apply (zenon_notallex_s (fun V : zenon_U => (((distinct_points zenon_TX_q zenon_TY_t)/\((convergent_lines zenon_TU_w V)/\((apart_point_and_line zenon_TX_q zenon_TU_w)\/(apart_point_and_line zenon_TY_t zenon_TU_w))))->(distinct_lines zenon_TU_w (line_connecting zenon_TX_q zenon_TY_t)))) zenon_H17); [ zenon_intro zenon_H18; idtac ]. % 0.42/0.61 elim zenon_H18. zenon_intro zenon_TV_z. zenon_intro zenon_H1a. % 0.42/0.61 apply (zenon_notimply_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.42/0.61 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.42/0.61 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.42/0.61 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.42/0.61 generalize (ceq2 zenon_TX_q). zenon_intro zenon_H23. % 0.42/0.61 generalize (zenon_H23 zenon_TU_w). zenon_intro zenon_H24. % 0.42/0.61 generalize (ci1 zenon_TX_q). zenon_intro zenon_H25. % 0.42/0.61 generalize (zenon_H25 zenon_TY_t). zenon_intro zenon_H26. % 0.42/0.61 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.42/0.61 exact (zenon_H28 zenon_H1e). % 0.42/0.61 generalize (zenon_H24 (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H29. % 0.42/0.61 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ]. % 0.42/0.61 exact (zenon_H2b zenon_H22). % 0.42/0.61 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.42/0.61 exact (zenon_H1b zenon_H2d). % 0.42/0.61 exact (zenon_H27 zenon_H2c). % 0.42/0.61 generalize (ceq2 zenon_TY_t). zenon_intro zenon_H2e. % 0.42/0.61 generalize (zenon_H2e zenon_TU_w). zenon_intro zenon_H2f. % 0.42/0.61 generalize (ci2 zenon_TX_q). zenon_intro zenon_H30. % 0.42/0.61 generalize (zenon_H30 zenon_TY_t). zenon_intro zenon_H31. % 0.42/0.61 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H28 | zenon_intro zenon_H32 ]. % 0.42/0.61 exact (zenon_H28 zenon_H1e). % 0.42/0.61 generalize (zenon_H2f (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H33. % 0.42/0.61 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ]. % 0.42/0.61 exact (zenon_H35 zenon_H21). % 0.42/0.61 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H2d | zenon_intro zenon_H36 ]. % 0.42/0.61 exact (zenon_H1b zenon_H2d). % 0.42/0.61 exact (zenon_H32 zenon_H36). % 0.42/0.61 Qed. % 0.42/0.61 % SZS output end Proof % 0.42/0.61 (* END-PROOF *) % 0.42/0.61 nodes searched: 4964 % 0.42/0.61 max branch formulas: 1236 % 0.42/0.61 proof nodes created: 295 % 0.42/0.61 formulas created: 17606 % 0.42/0.61 %------------------------------------------------------------------------------