%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 07:00:34 EDT 2022 % Result : Theorem 0.20s 0.52s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n023.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 05:13:34 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.52 (* PROOF-FOUND *) % 0.20/0.52 % SZS status Theorem % 0.20/0.52 (* BEGIN-PROOF *) % 0.20/0.52 % SZS output start Proof % 0.20/0.52 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\((distinct_points X Z)/\((distinct_points Y Z)/\(~(apart_point_and_line Z (line_connecting X Y))))))->(~(apart_point_and_line Y (line_connecting X Z))))))). % 0.20/0.52 Proof. % 0.20/0.52 apply NNPP. intro zenon_G. % 0.20/0.52 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\((distinct_points X Z)/\((distinct_points Y Z)/\(~(apart_point_and_line Z (line_connecting X Y))))))->(~(apart_point_and_line Y (line_connecting X Z))))))) zenon_G); [ zenon_intro zenon_Hf; idtac ]. % 0.20/0.52 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11. % 0.20/0.52 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((distinct_points zenon_TX_q Y)/\((distinct_points zenon_TX_q Z)/\((distinct_points Y Z)/\(~(apart_point_and_line Z (line_connecting zenon_TX_q Y))))))->(~(apart_point_and_line Y (line_connecting zenon_TX_q Z)))))) zenon_H11); [ zenon_intro zenon_H12; idtac ]. % 0.20/0.52 elim zenon_H12. zenon_intro zenon_TY_t. zenon_intro zenon_H14. % 0.20/0.52 apply (zenon_notallex_s (fun Z : zenon_U => (((distinct_points zenon_TX_q zenon_TY_t)/\((distinct_points zenon_TX_q Z)/\((distinct_points zenon_TY_t Z)/\(~(apart_point_and_line Z (line_connecting zenon_TX_q zenon_TY_t))))))->(~(apart_point_and_line zenon_TY_t (line_connecting zenon_TX_q Z))))) zenon_H14); [ zenon_intro zenon_H15; idtac ]. % 0.20/0.52 elim zenon_H15. zenon_intro zenon_TZ_w. zenon_intro zenon_H17. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.20/0.52 apply zenon_H18. zenon_intro zenon_H1a. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.20/0.52 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.20/0.52 generalize (cu1 zenon_TX_q). zenon_intro zenon_H21. % 0.20/0.52 generalize (ci1 zenon_TX_q). zenon_intro zenon_H22. % 0.20/0.52 generalize (zenon_H21 zenon_TZ_w). zenon_intro zenon_H23. % 0.20/0.52 generalize (ceq2 zenon_TY_t). zenon_intro zenon_H24. % 0.20/0.52 generalize (ci2 zenon_TX_q). zenon_intro zenon_H25. % 0.20/0.52 generalize (zenon_H22 zenon_TZ_w). zenon_intro zenon_H26. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.20/0.52 exact (zenon_H28 zenon_H1e). % 0.20/0.52 generalize (zenon_H25 zenon_TZ_w). zenon_intro zenon_H29. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 0.20/0.52 exact (zenon_H28 zenon_H1e). % 0.20/0.52 generalize (zenon_H24 (line_connecting zenon_TX_q zenon_TZ_w)). zenon_intro zenon_H2b. % 0.20/0.52 generalize (zenon_H22 zenon_TY_t). zenon_intro zenon_H2c. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.20/0.52 exact (zenon_H2e zenon_H1c). % 0.20/0.52 generalize (zenon_H25 zenon_TY_t). zenon_intro zenon_H2f. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H2e | zenon_intro zenon_H30 ]. % 0.20/0.52 exact (zenon_H2e zenon_H1c). % 0.20/0.52 generalize (zenon_H2b (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H31. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.20/0.52 exact (zenon_H33 zenon_H1a). % 0.20/0.52 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ]. % 0.20/0.52 generalize (zenon_H23 (line_connecting zenon_TX_q zenon_TZ_w)). zenon_intro zenon_H36. % 0.20/0.52 generalize (zenon_H36 (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H37. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.20/0.52 apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H28 | zenon_intro zenon_H3a ]. % 0.20/0.52 exact (zenon_H28 zenon_H1e). % 0.20/0.52 exact (zenon_H3a zenon_H35). % 0.20/0.52 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.20/0.52 exact (zenon_H27 zenon_H3c). % 0.20/0.52 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.20/0.52 exact (zenon_H2d zenon_H3e). % 0.20/0.52 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.20/0.52 exact (zenon_H2a zenon_H40). % 0.20/0.52 exact (zenon_H1f zenon_H3f). % 0.20/0.52 exact (zenon_H30 zenon_H34). % 0.20/0.52 Qed. % 0.20/0.52 % SZS output end Proof % 0.20/0.52 (* END-PROOF *) % 0.20/0.52 nodes searched: 740 % 0.20/0.52 max branch formulas: 468 % 0.20/0.52 proof nodes created: 92 % 0.20/0.52 formulas created: 3500 % 0.20/0.52 %------------------------------------------------------------------------------