%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO176+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 07:00:24 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO176+2 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n009.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 18 01:40:08 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 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 X V))))->(distinct_points X (intersection_point U V))))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 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 X V))))->(distinct_points X (intersection_point U V))))))) zenon_G); [ zenon_intro zenon_Hd; idtac ]. % 0.19/0.50 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf. % 0.19/0.50 apply (zenon_notallex_s (fun Y : zenon_U => (forall U : zenon_U, (forall V : zenon_U, (((distinct_points zenon_TX_o Y)/\((convergent_lines U V)/\((apart_point_and_line zenon_TX_o U)\/(apart_point_and_line zenon_TX_o V))))->(distinct_points zenon_TX_o (intersection_point U V)))))) zenon_Hf); [ zenon_intro zenon_H10; idtac ]. % 0.19/0.51 elim zenon_H10. zenon_intro zenon_TY_r. zenon_intro zenon_H12. % 0.19/0.51 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (((distinct_points zenon_TX_o zenon_TY_r)/\((convergent_lines U V)/\((apart_point_and_line zenon_TX_o U)\/(apart_point_and_line zenon_TX_o V))))->(distinct_points zenon_TX_o (intersection_point U V))))) zenon_H12); [ zenon_intro zenon_H13; idtac ]. % 0.19/0.51 elim zenon_H13. zenon_intro zenon_TU_u. zenon_intro zenon_H15. % 0.19/0.51 apply (zenon_notallex_s (fun V : zenon_U => (((distinct_points zenon_TX_o zenon_TY_r)/\((convergent_lines zenon_TU_u V)/\((apart_point_and_line zenon_TX_o zenon_TU_u)\/(apart_point_and_line zenon_TX_o V))))->(distinct_points zenon_TX_o (intersection_point zenon_TU_u V)))) zenon_H15); [ zenon_intro zenon_H16; idtac ]. % 0.19/0.51 elim zenon_H16. zenon_intro zenon_TV_x. zenon_intro zenon_H18. % 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.19/0.51 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.19/0.51 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.19/0.51 generalize (con2 zenon_TU_u). zenon_intro zenon_H21. % 0.19/0.51 generalize (zenon_H21 zenon_TV_x). zenon_intro zenon_H22. % 0.19/0.51 generalize (zenon_H22 zenon_TX_o). zenon_intro zenon_H23. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.19/0.51 exact (zenon_H25 zenon_H1e). % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.19/0.51 apply (zenon_notor_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.19/0.51 exact (zenon_H29 zenon_H20). % 0.19/0.51 exact (zenon_H19 zenon_H26). % 0.19/0.51 generalize (con2 zenon_TU_u). zenon_intro zenon_H21. % 0.19/0.51 generalize (zenon_H21 zenon_TV_x). zenon_intro zenon_H22. % 0.19/0.51 generalize (zenon_H22 zenon_TX_o). zenon_intro zenon_H23. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.19/0.51 exact (zenon_H25 zenon_H1e). % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.19/0.51 apply (zenon_notor_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.19/0.51 exact (zenon_H28 zenon_H1f). % 0.19/0.51 exact (zenon_H19 zenon_H26). % 0.19/0.51 Qed. % 0.19/0.51 % SZS output end Proof % 0.19/0.51 (* END-PROOF *) % 0.19/0.51 nodes searched: 557 % 0.19/0.51 max branch formulas: 242 % 0.19/0.51 proof nodes created: 62 % 0.19/0.51 formulas created: 2124 % 0.19/0.51 %------------------------------------------------------------------------------