TSTP Solution File: ALG028+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------