%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG028+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 : Thu Jul 14 18:29:01 EDT 2022 % Result : Theorem 1.30s 1.48s % Output : Proof 1.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : ALG028+1 : TPTP v8.1.0. Released v2.7.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n026.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 : Wed Jun 8 07:47:02 EDT 2022 % 0.12/0.33 % CPUTime : % 1.30/1.48 (* PROOF-FOUND *) % 1.30/1.48 % SZS status Theorem % 1.30/1.48 (* BEGIN-PROOF *) % 1.30/1.48 % SZS output start Proof % 1.30/1.48 Theorem co1 : (~(((op (e0) (e0)) = (op (e0) (e0)))/\(((op (e0) (e1)) = (op (e1) (e0)))/\(((op (e0) (e2)) = (op (e2) (e0)))/\(((op (e0) (e3)) = (op (e3) (e0)))/\(((op (e0) (e4)) = (op (e4) (e0)))/\(((op (e0) (e5)) = (op (e5) (e0)))/\(((op (e1) (e0)) = (op (e0) (e1)))/\(((op (e1) (e1)) = (op (e1) (e1)))/\(((op (e1) (e2)) = (op (e2) (e1)))/\(((op (e1) (e3)) = (op (e3) (e1)))/\(((op (e1) (e4)) = (op (e4) (e1)))/\(((op (e1) (e5)) = (op (e5) (e1)))/\(((op (e2) (e0)) = (op (e0) (e2)))/\(((op (e2) (e1)) = (op (e1) (e2)))/\(((op (e2) (e2)) = (op (e2) (e2)))/\(((op (e2) (e3)) = (op (e3) (e2)))/\(((op (e2) (e4)) = (op (e4) (e2)))/\(((op (e2) (e5)) = (op (e5) (e2)))/\(((op (e3) (e0)) = (op (e0) (e3)))/\(((op (e3) (e1)) = (op (e1) (e3)))/\(((op (e3) (e2)) = (op (e2) (e3)))/\(((op (e3) (e3)) = (op (e3) (e3)))/\(((op (e3) (e4)) = (op (e4) (e3)))/\(((op (e3) (e5)) = (op (e5) (e3)))/\(((op (e4) (e0)) = (op (e0) (e4)))/\(((op (e4) (e1)) = (op (e1) (e4)))/\(((op (e4) (e2)) = (op (e2) (e4)))/\(((op (e4) (e3)) = (op (e3) (e4)))/\(((op (e4) (e4)) = (op (e4) (e4)))/\(((op (e4) (e5)) = (op (e5) (e4)))/\(((op (e5) (e0)) = (op (e0) (e5)))/\(((op (e5) (e1)) = (op (e1) (e5)))/\(((op (e5) (e2)) = (op (e2) (e5)))/\(((op (e5) (e3)) = (op (e3) (e5)))/\(((op (e5) (e4)) = (op (e4) (e5)))/\(((op (e5) (e5)) = (op (e5) (e5)))/\(~(((op (e0) (e0)) = (op (e0) (e0)))/\(((op (e0) (e1)) = (op (e1) (e0)))/\(((op (e0) (e2)) = (op (e2) (e0)))/\(((op (e0) (e3)) = (op (e3) (e0)))/\(((op (e0) (e4)) = (op (e4) (e0)))/\(((op (e0) (e5)) = (op (e5) (e0)))/\(((op (e1) (e0)) = (op (e0) (e1)))/\(((op (e1) (e1)) = (op (e1) (e1)))/\(((op (e1) (e2)) = (op (e2) (e1)))/\(((op (e1) (e3)) = (op (e3) (e1)))/\(((op (e1) (e4)) = (op (e4) (e1)))/\(((op (e1) (e5)) = (op (e5) (e1)))/\(((op (e2) (e0)) = (op (e0) (e2)))/\(((op (e2) (e1)) = (op (e1) (e2)))/\(((op (e2) (e2)) = (op (e2) (e2)))/\(((op (e2) (e3)) = (op (e3) (e2)))/\(((op (e2) (e4)) = (op (e4) (e2)))/\(((op (e2) (e5)) = (op (e5) (e2)))/\(((op (e3) (e0)) = (op (e0) (e3)))/\(((op (e3) (e1)) = (op (e1) (e3)))/\(((op (e3) (e2)) = (op (e2) (e3)))/\(((op (e3) (e3)) = (op (e3) (e3)))/\(((op (e3) (e4)) = (op (e4) (e3)))/\(((op (e3) (e5)) = (op (e5) (e3)))/\(((op (e4) (e0)) = (op (e0) (e4)))/\(((op (e4) (e1)) = (op (e1) (e4)))/\(((op (e4) (e2)) = (op (e2) (e4)))/\(((op (e4) (e3)) = (op (e3) (e4)))/\(((op (e4) (e4)) = (op (e4) (e4)))/\(((op (e4) (e5)) = (op (e5) (e4)))/\(((op (e5) (e0)) = (op (e0) (e5)))/\(((op (e5) (e1)) = (op (e1) (e5)))/\(((op (e5) (e2)) = (op (e2) (e5)))/\(((op (e5) (e3)) = (op (e3) (e5)))/\(((op (e5) (e4)) = (op (e4) (e5)))/\((op (e5) (e5)) = (op (e5) (e5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 1.30/1.48 Proof. % 1.30/1.48 apply NNPP. intro zenon_G. % 1.30/1.48 apply zenon_G. zenon_intro zenon_Hc. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 1.30/1.48 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H14. zenon_intro zenon_H13. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H28. zenon_intro zenon_H27. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2b). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H38. zenon_intro zenon_H37. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H42. zenon_intro zenon_H41. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H44. zenon_intro zenon_H43. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H46. zenon_intro zenon_H45. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H48. zenon_intro zenon_H47. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H4a. zenon_intro zenon_H49. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4c. zenon_intro zenon_H4b. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H4e. zenon_intro zenon_H4d. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H50. zenon_intro zenon_H4f. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H52. zenon_intro zenon_H51. % 1.30/1.48 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H54. zenon_intro zenon_H53. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H53); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 1.30/1.48 apply zenon_H56. apply refl_equal. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H55); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 1.30/1.48 exact (zenon_H58 zenon_H10). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H57); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 1.30/1.48 exact (zenon_H5a zenon_H12). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H59); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ]. % 1.30/1.48 exact (zenon_H5c zenon_H14). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H5b); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 1.30/1.48 exact (zenon_H5e zenon_H16). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 1.30/1.48 exact (zenon_H60 zenon_H18). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H5f); [ zenon_intro zenon_H62 | zenon_intro zenon_H61 ]. % 1.30/1.48 apply zenon_H62. apply sym_equal. exact zenon_H10. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H61); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 1.30/1.48 apply zenon_H64. apply refl_equal. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H63); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ]. % 1.30/1.48 exact (zenon_H66 zenon_H1e). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H65); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ]. % 1.30/1.48 exact (zenon_H68 zenon_H20). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H67); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ]. % 1.30/1.48 exact (zenon_H6a zenon_H22). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H69); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 1.30/1.48 exact (zenon_H6c zenon_H24). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H6b); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ]. % 1.30/1.48 apply zenon_H6e. apply sym_equal. exact zenon_H12. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H6d); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ]. % 1.30/1.48 apply zenon_H70. apply sym_equal. exact zenon_H1e. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H6f); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ]. % 1.30/1.48 apply zenon_H72. apply refl_equal. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H71); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 1.30/1.48 exact (zenon_H74 zenon_H2c). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 1.30/1.48 exact (zenon_H76 zenon_H2e). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H75); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ]. % 1.30/1.48 exact (zenon_H78 zenon_H30). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H77); [ zenon_intro zenon_H7a | zenon_intro zenon_H79 ]. % 1.30/1.48 apply zenon_H7a. apply sym_equal. exact zenon_H14. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H79); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 1.30/1.48 apply zenon_H7c. apply sym_equal. exact zenon_H20. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ]. % 1.30/1.48 apply zenon_H7e. apply sym_equal. exact zenon_H2c. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H7d); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 1.30/1.48 apply zenon_H80. apply refl_equal. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H7f); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 1.30/1.48 exact (zenon_H82 zenon_H3a). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H81); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 1.30/1.48 exact (zenon_H84 zenon_H3c). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H83); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 1.30/1.48 apply zenon_H86. apply sym_equal. exact zenon_H16. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H85); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 1.30/1.48 apply zenon_H88. apply sym_equal. exact zenon_H22. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H87); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 1.30/1.48 apply zenon_H8a. apply sym_equal. exact zenon_H2e. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H89); [ zenon_intro zenon_H8c | zenon_intro zenon_H8b ]. % 1.30/1.48 apply zenon_H8c. apply sym_equal. exact zenon_H3a. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H8b); [ zenon_intro zenon_H8e | zenon_intro zenon_H8d ]. % 1.30/1.48 apply zenon_H8e. apply refl_equal. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H8d); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 1.30/1.48 exact (zenon_H90 zenon_H48). % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H8f); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 1.30/1.48 apply zenon_H92. apply sym_equal. exact zenon_H18. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H91); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ]. % 1.30/1.48 apply zenon_H94. apply sym_equal. exact zenon_H24. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H93); [ zenon_intro zenon_H96 | zenon_intro zenon_H95 ]. % 1.30/1.48 apply zenon_H96. apply sym_equal. exact zenon_H30. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H95); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 1.30/1.48 apply zenon_H98. apply sym_equal. exact zenon_H3c. % 1.30/1.48 apply (zenon_notand_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 1.30/1.48 apply zenon_H9a. apply sym_equal. exact zenon_H48. % 1.30/1.48 apply zenon_H99. apply refl_equal. % 1.30/1.48 Qed. % 1.30/1.48 % SZS output end Proof % 1.30/1.48 (* END-PROOF *) % 1.30/1.48 nodes searched: 49 % 1.30/1.48 max branch formulas: 570 % 1.30/1.48 proof nodes created: 39 % 1.30/1.48 formulas created: 39944 % 1.30/1.48 %------------------------------------------------------------------------------