%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 07:00:26 EDT 2022 % Result : Theorem 0.15s 0.46s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0. % 0.00/0.11 % Command : run_zenon %s %d % 0.10/0.31 % Computer : n019.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 600 % 0.10/0.31 % DateTime : Sat Jun 18 10:35:24 EDT 2022 % 0.15/0.31 % CPUTime : % 0.15/0.46 (* PROOF-FOUND *) % 0.15/0.46 % SZS status Theorem % 0.15/0.46 (* BEGIN-PROOF *) % 0.15/0.46 % SZS output start Proof % 0.15/0.46 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\(apart_point_and_line Z (line_connecting X Y)))->((distinct_points Z X)/\(distinct_points Z Y)))))). % 0.15/0.46 Proof. % 0.15/0.46 apply NNPP. intro zenon_G. % 0.15/0.46 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\(apart_point_and_line Z (line_connecting X Y)))->((distinct_points Z X)/\(distinct_points Z Y)))))) zenon_G); [ zenon_intro zenon_Hd; idtac ]. % 0.15/0.46 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf. % 0.15/0.46 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((distinct_points zenon_TX_o Y)/\(apart_point_and_line Z (line_connecting zenon_TX_o Y)))->((distinct_points Z zenon_TX_o)/\(distinct_points Z Y))))) zenon_Hf); [ zenon_intro zenon_H10; idtac ]. % 0.15/0.46 elim zenon_H10. zenon_intro zenon_TY_r. zenon_intro zenon_H12. % 0.15/0.46 apply (zenon_notallex_s (fun Z : zenon_U => (((distinct_points zenon_TX_o zenon_TY_r)/\(apart_point_and_line Z (line_connecting zenon_TX_o zenon_TY_r)))->((distinct_points Z zenon_TX_o)/\(distinct_points Z zenon_TY_r)))) zenon_H12); [ zenon_intro zenon_H13; idtac ]. % 0.15/0.46 elim zenon_H13. zenon_intro zenon_TZ_u. zenon_intro zenon_H15. % 0.15/0.46 apply (zenon_notimply_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.15/0.46 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.15/0.46 apply (zenon_notand_s _ _ zenon_H16); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 0.15/0.46 generalize (con1 zenon_TX_o). zenon_intro zenon_H1c. % 0.15/0.46 generalize (zenon_H1c zenon_TY_r). zenon_intro zenon_H1d. % 0.15/0.46 generalize (zenon_H1d zenon_TZ_u). zenon_intro zenon_H1e. % 0.15/0.46 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.15/0.46 exact (zenon_H20 zenon_H19). % 0.15/0.46 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.15/0.46 exact (zenon_H22 zenon_H18). % 0.15/0.46 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23. % 0.15/0.46 exact (zenon_H1b zenon_H24). % 0.15/0.46 generalize (con1 zenon_TX_o). zenon_intro zenon_H1c. % 0.15/0.46 generalize (zenon_H1c zenon_TY_r). zenon_intro zenon_H1d. % 0.15/0.46 generalize (zenon_H1d zenon_TZ_u). zenon_intro zenon_H1e. % 0.15/0.46 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.15/0.46 exact (zenon_H20 zenon_H19). % 0.15/0.46 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.15/0.46 exact (zenon_H22 zenon_H18). % 0.15/0.46 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23. % 0.15/0.46 exact (zenon_H1a zenon_H23). % 0.15/0.46 Qed. % 0.15/0.46 % SZS output end Proof % 0.15/0.46 (* END-PROOF *) % 0.15/0.46 nodes searched: 846 % 0.15/0.46 max branch formulas: 276 % 0.15/0.46 proof nodes created: 118 % 0.15/0.46 formulas created: 2503 % 0.15/0.46 %------------------------------------------------------------------------------