%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG209+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n027.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 18:06:14 EDT 2022 % Result : Theorem 26.04s 26.24s % Output : Proof 26.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : ALG209+1 : TPTP v8.1.0. Released v2.7.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n027.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 00:49:41 EDT 2022 % 0.12/0.33 % CPUTime : % 26.04/26.24 % SZS status Theorem % 26.04/26.24 (* PROOF-FOUND *) % 26.04/26.24 (* BEGIN-PROOF *) % 26.04/26.24 % SZS output start Proof % 26.04/26.24 1. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom % 26.04/26.24 2. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ (((op (e4) (e4)) = (e4)) \/ (((op (e5) (e5)) = (e5)) \/ ((op (e6) (e6)) = (e6))))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 1 % 26.04/26.24 3. ((op (e6) (e6)) = (e6)) ((e6) != (op (e6) (e6))) ### Sym(=) % 26.04/26.24 4. ((op (e6) (e6)) = (e6)) ((e6) != (op (e6) (e6))) ### Sym(=) % 26.04/26.24 5. ((e5) != (e5)) ### NotEqual % 26.04/26.24 6. ((e5) != (e6)) ((op (e6) (e6)) = (e5)) ((op (e6) (e6)) = (e6)) ### TransEq-sym 3 4 5 % 26.04/26.24 7. (-. (((op (e0) (e0)) != (e0)) \/ (((op (e1) (e1)) != (e1)) \/ (((op (e2) (e2)) != (e2)) \/ (((op (e3) (e3)) != (e3)) \/ (((op (e4) (e4)) != (e4)) \/ (((op (e5) (e5)) != (e5)) \/ ((op (e6) (e6)) != (e6))))))))) ((op (e6) (e6)) = (e5)) ((e5) != (e6)) ### ConjTree 6 % 26.04/26.24 8. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 26.04/26.24 9. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e0)) = (e5)) \/ ((op (e0) (e0)) = (e6))))))))) ((op (e0) (e0)) = (e2)) ### ConjTree 8 % 26.04/26.24 10. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 26.04/26.24 11. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e1)) = (e5)) \/ ((op (e0) (e1)) = (e6))))))))) ((op (e0) (e1)) = (e0)) ### ConjTree 10 % 26.04/26.24 12. ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (e1)) ### Axiom % 26.04/26.24 13. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e2)) = (e5)) \/ ((op (e0) (e2)) = (e6))))))))) ((op (e0) (e2)) = (e1)) ### ConjTree 12 % 26.04/26.24 14. ((op (e0) (e3)) = (e5)) ((op (e0) (e3)) != (e5)) ### Axiom % 26.04/26.24 15. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ (((op (e0) (e3)) = (e4)) \/ (((op (e0) (e3)) = (e5)) \/ ((op (e0) (e3)) = (e6))))))))) ((op (e0) (e3)) = (e5)) ### ConjTree 14 % 26.04/26.24 16. ((op (e0) (e4)) = (e3)) ((op (e0) (e4)) != (e3)) ### Axiom % 26.04/26.24 17. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ (((op (e0) (e4)) = (e4)) \/ (((op (e0) (e4)) = (e5)) \/ ((op (e0) (e4)) = (e6))))))))) ((op (e0) (e4)) = (e3)) ### ConjTree 16 % 26.04/26.24 18. ((op (e0) (e5)) = (e4)) ((op (e0) (e5)) != (e4)) ### Axiom % 26.04/26.24 19. (-. (((op (e0) (e5)) = (e0)) \/ (((op (e0) (e5)) = (e1)) \/ (((op (e0) (e5)) = (e2)) \/ (((op (e0) (e5)) = (e3)) \/ (((op (e0) (e5)) = (e4)) \/ (((op (e0) (e5)) = (e5)) \/ ((op (e0) (e5)) = (e6))))))))) ((op (e0) (e5)) = (e4)) ### ConjTree 18 % 26.04/26.24 20. ((op (e0) (e6)) = (e6)) ((op (e0) (e6)) != (e6)) ### Axiom % 26.04/26.24 21. (-. (((op (e0) (e6)) = (e0)) \/ (((op (e0) (e6)) = (e1)) \/ (((op (e0) (e6)) = (e2)) \/ (((op (e0) (e6)) = (e3)) \/ (((op (e0) (e6)) = (e4)) \/ (((op (e0) (e6)) = (e5)) \/ ((op (e0) (e6)) = (e6))))))))) ((op (e0) (e6)) = (e6)) ### ConjTree 20 % 26.04/26.24 22. ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (e0)) ### Axiom % 26.04/26.24 23. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e5)) \/ ((op (e1) (e0)) = (e6))))))))) ((op (e1) (e0)) = (e0)) ### ConjTree 22 % 26.04/26.24 24. ((op (e1) (e1)) = (e6)) ((op (e1) (e1)) != (e6)) ### Axiom % 26.04/26.24 25. (-. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e5)) \/ ((op (e1) (e1)) = (e6))))))))) ((op (e1) (e1)) = (e6)) ### ConjTree 24 % 26.04/26.24 26. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 26.04/26.24 27. (-. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e5)) \/ ((op (e1) (e2)) = (e6))))))))) ((op (e1) (e2)) = (e4)) ### ConjTree 26 % 26.04/26.24 28. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 26.04/26.24 29. (-. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e5)) \/ ((op (e1) (e3)) = (e6))))))))) ((op (e1) (e3)) = (e1)) ### ConjTree 28 % 26.04/26.24 30. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 26.04/26.24 31. (-. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e5)) \/ ((op (e1) (e4)) = (e6))))))))) ((op (e1) (e4)) = (e5)) ### ConjTree 30 % 26.04/26.24 32. ((op (e1) (e5)) = (e2)) ((op (e1) (e5)) != (e2)) ### Axiom % 26.04/26.24 33. (-. (((op (e1) (e5)) = (e0)) \/ (((op (e1) (e5)) = (e1)) \/ (((op (e1) (e5)) = (e2)) \/ (((op (e1) (e5)) = (e3)) \/ (((op (e1) (e5)) = (e4)) \/ (((op (e1) (e5)) = (e5)) \/ ((op (e1) (e5)) = (e6))))))))) ((op (e1) (e5)) = (e2)) ### ConjTree 32 % 26.04/26.24 34. ((op (e1) (e6)) = (e3)) ((op (e1) (e6)) != (e3)) ### Axiom % 26.04/26.24 35. (-. (((op (e1) (e6)) = (e0)) \/ (((op (e1) (e6)) = (e1)) \/ (((op (e1) (e6)) = (e2)) \/ (((op (e1) (e6)) = (e3)) \/ (((op (e1) (e6)) = (e4)) \/ (((op (e1) (e6)) = (e5)) \/ ((op (e1) (e6)) = (e6))))))))) ((op (e1) (e6)) = (e3)) ### ConjTree 34 % 26.04/26.24 36. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom % 26.04/26.24 37. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e5)) \/ ((op (e2) (e0)) = (e6))))))))) ((op (e2) (e0)) = (e1)) ### ConjTree 36 % 26.04/26.24 38. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 26.04/26.24 39. (-. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e5)) \/ ((op (e2) (e1)) = (e6))))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 38 % 26.04/26.24 40. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 26.04/26.24 41. (-. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e5)) \/ ((op (e2) (e2)) = (e6))))))))) ((op (e2) (e2)) = (e3)) ### ConjTree 40 % 26.04/26.24 42. ((op (e2) (e3)) = (e6)) ((op (e2) (e3)) != (e6)) ### Axiom % 26.04/26.24 43. (-. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e5)) \/ ((op (e2) (e3)) = (e6))))))))) ((op (e2) (e3)) = (e6)) ### ConjTree 42 % 26.04/26.24 44. ((op (e2) (e4)) = (e0)) ((op (e2) (e4)) != (e0)) ### Axiom % 26.04/26.24 45. (-. (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e5)) \/ ((op (e2) (e4)) = (e6))))))))) ((op (e2) (e4)) = (e0)) ### ConjTree 44 % 26.04/26.24 46. ((op (e2) (e5)) = (e5)) ((op (e2) (e5)) != (e5)) ### Axiom % 26.04/26.24 47. (-. (((op (e2) (e5)) = (e0)) \/ (((op (e2) (e5)) = (e1)) \/ (((op (e2) (e5)) = (e2)) \/ (((op (e2) (e5)) = (e3)) \/ (((op (e2) (e5)) = (e4)) \/ (((op (e2) (e5)) = (e5)) \/ ((op (e2) (e5)) = (e6))))))))) ((op (e2) (e5)) = (e5)) ### ConjTree 46 % 26.04/26.24 48. ((op (e2) (e6)) = (e2)) ((op (e2) (e6)) != (e2)) ### Axiom % 26.04/26.24 49. (-. (((op (e2) (e6)) = (e0)) \/ (((op (e2) (e6)) = (e1)) \/ (((op (e2) (e6)) = (e2)) \/ (((op (e2) (e6)) = (e3)) \/ (((op (e2) (e6)) = (e4)) \/ (((op (e2) (e6)) = (e5)) \/ ((op (e2) (e6)) = (e6))))))))) ((op (e2) (e6)) = (e2)) ### ConjTree 48 % 26.04/26.24 50. ((op (e3) (e0)) = (e5)) ((op (e3) (e0)) != (e5)) ### Axiom % 26.04/26.24 51. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e5)) \/ ((op (e3) (e0)) = (e6))))))))) ((op (e3) (e0)) = (e5)) ### ConjTree 50 % 26.04/26.24 52. ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (e1)) ### Axiom % 26.04/26.24 53. (-. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e5)) \/ ((op (e3) (e1)) = (e6))))))))) ((op (e3) (e1)) = (e1)) ### ConjTree 52 % 26.04/26.24 54. ((op (e3) (e2)) = (e6)) ((op (e3) (e2)) != (e6)) ### Axiom % 26.04/26.24 55. (-. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e5)) \/ ((op (e3) (e2)) = (e6))))))))) ((op (e3) (e2)) = (e6)) ### ConjTree 54 % 26.04/26.24 56. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 26.04/26.24 57. (-. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e5)) \/ ((op (e3) (e3)) = (e6))))))))) ((op (e3) (e3)) = (e0)) ### ConjTree 56 % 26.04/26.24 58. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom % 26.04/26.24 59. (-. (((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e5)) \/ ((op (e3) (e4)) = (e6))))))))) ((op (e3) (e4)) = (e2)) ### ConjTree 58 % 26.04/26.24 60. ((op (e3) (e5)) = (e3)) ((op (e3) (e5)) != (e3)) ### Axiom % 26.04/26.24 61. (-. (((op (e3) (e5)) = (e0)) \/ (((op (e3) (e5)) = (e1)) \/ (((op (e3) (e5)) = (e2)) \/ (((op (e3) (e5)) = (e3)) \/ (((op (e3) (e5)) = (e4)) \/ (((op (e3) (e5)) = (e5)) \/ ((op (e3) (e5)) = (e6))))))))) ((op (e3) (e5)) = (e3)) ### ConjTree 60 % 26.04/26.24 62. ((op (e3) (e6)) = (e4)) ((op (e3) (e6)) != (e4)) ### Axiom % 26.04/26.24 63. (-. (((op (e3) (e6)) = (e0)) \/ (((op (e3) (e6)) = (e1)) \/ (((op (e3) (e6)) = (e2)) \/ (((op (e3) (e6)) = (e3)) \/ (((op (e3) (e6)) = (e4)) \/ (((op (e3) (e6)) = (e5)) \/ ((op (e3) (e6)) = (e6))))))))) ((op (e3) (e6)) = (e4)) ### ConjTree 62 % 26.04/26.24 64. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom % 26.04/26.24 65. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e0)) = (e4)) \/ (((op (e4) (e0)) = (e5)) \/ ((op (e4) (e0)) = (e6))))))))) ((op (e4) (e0)) = (e3)) ### ConjTree 64 % 26.04/26.24 66. ((op (e4) (e1)) = (e5)) ((op (e4) (e1)) != (e5)) ### Axiom % 26.04/26.24 67. (-. (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e1)) = (e5)) \/ ((op (e4) (e1)) = (e6))))))))) ((op (e4) (e1)) = (e5)) ### ConjTree 66 % 26.04/26.24 68. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom % 26.04/26.24 69. (-. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e2)) = (e5)) \/ ((op (e4) (e2)) = (e6))))))))) ((op (e4) (e2)) = (e0)) ### ConjTree 68 % 26.04/26.24 70. ((op (e4) (e3)) = (e2)) ((op (e4) (e3)) != (e2)) ### Axiom % 26.04/26.24 71. (-. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ (((op (e4) (e3)) = (e4)) \/ (((op (e4) (e3)) = (e5)) \/ ((op (e4) (e3)) = (e6))))))))) ((op (e4) (e3)) = (e2)) ### ConjTree 70 % 26.04/26.24 72. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom % 26.04/26.24 73. (-. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ (((op (e4) (e4)) = (e4)) \/ (((op (e4) (e4)) = (e5)) \/ ((op (e4) (e4)) = (e6))))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 72 % 26.04/26.24 74. ((op (e4) (e5)) = (e6)) ((op (e4) (e5)) != (e6)) ### Axiom % 26.04/26.24 75. (-. (((op (e4) (e5)) = (e0)) \/ (((op (e4) (e5)) = (e1)) \/ (((op (e4) (e5)) = (e2)) \/ (((op (e4) (e5)) = (e3)) \/ (((op (e4) (e5)) = (e4)) \/ (((op (e4) (e5)) = (e5)) \/ ((op (e4) (e5)) = (e6))))))))) ((op (e4) (e5)) = (e6)) ### ConjTree 74 % 26.04/26.24 76. ((op (e4) (e6)) = (e1)) ((op (e4) (e6)) != (e1)) ### Axiom % 26.04/26.24 77. (-. (((op (e4) (e6)) = (e0)) \/ (((op (e4) (e6)) = (e1)) \/ (((op (e4) (e6)) = (e2)) \/ (((op (e4) (e6)) = (e3)) \/ (((op (e4) (e6)) = (e4)) \/ (((op (e4) (e6)) = (e5)) \/ ((op (e4) (e6)) = (e6))))))))) ((op (e4) (e6)) = (e1)) ### ConjTree 76 % 26.04/26.24 78. ((op (e5) (e0)) = (e4)) ((op (e5) (e0)) != (e4)) ### Axiom % 26.04/26.24 79. (-. (((op (e5) (e0)) = (e0)) \/ (((op (e5) (e0)) = (e1)) \/ (((op (e5) (e0)) = (e2)) \/ (((op (e5) (e0)) = (e3)) \/ (((op (e5) (e0)) = (e4)) \/ (((op (e5) (e0)) = (e5)) \/ ((op (e5) (e0)) = (e6))))))))) ((op (e5) (e0)) = (e4)) ### ConjTree 78 % 26.04/26.24 80. ((op (e5) (e1)) = (e2)) ((op (e5) (e1)) != (e2)) ### Axiom % 26.04/26.24 81. (-. (((op (e5) (e1)) = (e0)) \/ (((op (e5) (e1)) = (e1)) \/ (((op (e5) (e1)) = (e2)) \/ (((op (e5) (e1)) = (e3)) \/ (((op (e5) (e1)) = (e4)) \/ (((op (e5) (e1)) = (e5)) \/ ((op (e5) (e1)) = (e6))))))))) ((op (e5) (e1)) = (e2)) ### ConjTree 80 % 26.04/26.24 82. ((op (e5) (e2)) = (e5)) ((op (e5) (e2)) != (e5)) ### Axiom % 26.04/26.24 83. (-. (((op (e5) (e2)) = (e0)) \/ (((op (e5) (e2)) = (e1)) \/ (((op (e5) (e2)) = (e2)) \/ (((op (e5) (e2)) = (e3)) \/ (((op (e5) (e2)) = (e4)) \/ (((op (e5) (e2)) = (e5)) \/ ((op (e5) (e2)) = (e6))))))))) ((op (e5) (e2)) = (e5)) ### ConjTree 82 % 26.04/26.24 84. ((op (e5) (e3)) = (e3)) ((op (e5) (e3)) != (e3)) ### Axiom % 26.04/26.24 85. (-. (((op (e5) (e3)) = (e0)) \/ (((op (e5) (e3)) = (e1)) \/ (((op (e5) (e3)) = (e2)) \/ (((op (e5) (e3)) = (e3)) \/ (((op (e5) (e3)) = (e4)) \/ (((op (e5) (e3)) = (e5)) \/ ((op (e5) (e3)) = (e6))))))))) ((op (e5) (e3)) = (e3)) ### ConjTree 84 % 26.04/26.24 86. ((op (e5) (e4)) = (e6)) ((op (e5) (e4)) != (e6)) ### Axiom % 26.04/26.24 87. (-. (((op (e5) (e4)) = (e0)) \/ (((op (e5) (e4)) = (e1)) \/ (((op (e5) (e4)) = (e2)) \/ (((op (e5) (e4)) = (e3)) \/ (((op (e5) (e4)) = (e4)) \/ (((op (e5) (e4)) = (e5)) \/ ((op (e5) (e4)) = (e6))))))))) ((op (e5) (e4)) = (e6)) ### ConjTree 86 % 26.04/26.24 88. ((op (e5) (e5)) = (e1)) ((op (e5) (e5)) != (e1)) ### Axiom % 26.04/26.24 89. (-. (((op (e5) (e5)) = (e0)) \/ (((op (e5) (e5)) = (e1)) \/ (((op (e5) (e5)) = (e2)) \/ (((op (e5) (e5)) = (e3)) \/ (((op (e5) (e5)) = (e4)) \/ (((op (e5) (e5)) = (e5)) \/ ((op (e5) (e5)) = (e6))))))))) ((op (e5) (e5)) = (e1)) ### ConjTree 88 % 26.04/26.24 90. ((op (e5) (e6)) = (e0)) ((op (e5) (e6)) != (e0)) ### Axiom % 26.04/26.24 91. (-. (((op (e5) (e6)) = (e0)) \/ (((op (e5) (e6)) = (e1)) \/ (((op (e5) (e6)) = (e2)) \/ (((op (e5) (e6)) = (e3)) \/ (((op (e5) (e6)) = (e4)) \/ (((op (e5) (e6)) = (e5)) \/ ((op (e5) (e6)) = (e6))))))))) ((op (e5) (e6)) = (e0)) ### ConjTree 90 % 26.04/26.24 92. ((op (e6) (e0)) = (e6)) ((op (e6) (e0)) != (e6)) ### Axiom % 26.04/26.24 93. (-. (((op (e6) (e0)) = (e0)) \/ (((op (e6) (e0)) = (e1)) \/ (((op (e6) (e0)) = (e2)) \/ (((op (e6) (e0)) = (e3)) \/ (((op (e6) (e0)) = (e4)) \/ (((op (e6) (e0)) = (e5)) \/ ((op (e6) (e0)) = (e6))))))))) ((op (e6) (e0)) = (e6)) ### ConjTree 92 % 26.04/26.24 94. ((op (e6) (e1)) = (e3)) ((op (e6) (e1)) != (e3)) ### Axiom % 26.04/26.24 95. (-. (((op (e6) (e1)) = (e0)) \/ (((op (e6) (e1)) = (e1)) \/ (((op (e6) (e1)) = (e2)) \/ (((op (e6) (e1)) = (e3)) \/ (((op (e6) (e1)) = (e4)) \/ (((op (e6) (e1)) = (e5)) \/ ((op (e6) (e1)) = (e6))))))))) ((op (e6) (e1)) = (e3)) ### ConjTree 94 % 26.04/26.24 96. ((op (e6) (e2)) = (e2)) ((op (e6) (e2)) != (e2)) ### Axiom % 26.04/26.24 97. (-. (((op (e6) (e2)) = (e0)) \/ (((op (e6) (e2)) = (e1)) \/ (((op (e6) (e2)) = (e2)) \/ (((op (e6) (e2)) = (e3)) \/ (((op (e6) (e2)) = (e4)) \/ (((op (e6) (e2)) = (e5)) \/ ((op (e6) (e2)) = (e6))))))))) ((op (e6) (e2)) = (e2)) ### ConjTree 96 % 26.04/26.24 98. ((op (e6) (e3)) = (e4)) ((op (e6) (e3)) != (e4)) ### Axiom % 26.04/26.24 99. (-. (((op (e6) (e3)) = (e0)) \/ (((op (e6) (e3)) = (e1)) \/ (((op (e6) (e3)) = (e2)) \/ (((op (e6) (e3)) = (e3)) \/ (((op (e6) (e3)) = (e4)) \/ (((op (e6) (e3)) = (e5)) \/ ((op (e6) (e3)) = (e6))))))))) ((op (e6) (e3)) = (e4)) ### ConjTree 98 % 26.04/26.24 100. ((op (e6) (e4)) = (e1)) ((op (e6) (e4)) != (e1)) ### Axiom % 26.04/26.24 101. (-. (((op (e6) (e4)) = (e0)) \/ (((op (e6) (e4)) = (e1)) \/ (((op (e6) (e4)) = (e2)) \/ (((op (e6) (e4)) = (e3)) \/ (((op (e6) (e4)) = (e4)) \/ (((op (e6) (e4)) = (e5)) \/ ((op (e6) (e4)) = (e6))))))))) ((op (e6) (e4)) = (e1)) ### ConjTree 100 % 26.04/26.24 102. ((op (e6) (e5)) = (e0)) ((op (e6) (e5)) != (e0)) ### Axiom % 26.04/26.24 103. (-. (((op (e6) (e5)) = (e0)) \/ (((op (e6) (e5)) = (e1)) \/ (((op (e6) (e5)) = (e2)) \/ (((op (e6) (e5)) = (e3)) \/ (((op (e6) (e5)) = (e4)) \/ (((op (e6) (e5)) = (e5)) \/ ((op (e6) (e5)) = (e6))))))))) ((op (e6) (e5)) = (e0)) ### ConjTree 102 % 26.04/26.24 104. ((op (e6) (e6)) = (e5)) ((op (e6) (e6)) != (e5)) ### Axiom % 26.04/26.24 105. (-. (((op (e6) (e6)) = (e0)) \/ (((op (e6) (e6)) = (e1)) \/ (((op (e6) (e6)) = (e2)) \/ (((op (e6) (e6)) = (e3)) \/ (((op (e6) (e6)) = (e4)) \/ (((op (e6) (e6)) = (e5)) \/ ((op (e6) (e6)) = (e6))))))))) ((op (e6) (e6)) = (e5)) ### ConjTree 104 % 26.04/26.24 106. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 26.04/26.24 107. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e5)) = (e0)) \/ ((op (e0) (e6)) = (e0))))))))) ((op (e0) (e1)) = (e0)) ### ConjTree 106 % 26.04/26.24 108. ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (e0)) ### Axiom % 26.04/26.24 109. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e0)) \/ (((op (e5) (e0)) = (e0)) \/ ((op (e6) (e0)) = (e0))))))))) ((op (e1) (e0)) = (e0)) ### ConjTree 108 % 26.04/26.24 110. ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (e1)) ### Axiom % 26.04/26.24 111. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e5)) = (e1)) \/ ((op (e0) (e6)) = (e1))))))))) ((op (e0) (e2)) = (e1)) ### ConjTree 110 % 26.04/26.24 112. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom % 26.04/26.24 113. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e5) (e0)) = (e1)) \/ ((op (e6) (e0)) = (e1))))))))) ((op (e2) (e0)) = (e1)) ### ConjTree 112 % 26.04/26.24 114. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 26.04/26.24 115. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e5)) = (e2)) \/ ((op (e0) (e6)) = (e2))))))))) ((op (e0) (e0)) = (e2)) ### ConjTree 114 % 26.04/26.24 116. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 26.04/26.24 117. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e5) (e0)) = (e2)) \/ ((op (e6) (e0)) = (e2))))))))) ((op (e0) (e0)) = (e2)) ### ConjTree 116 % 26.04/26.24 118. ((op (e0) (e4)) = (e3)) ((op (e0) (e4)) != (e3)) ### Axiom % 26.04/26.24 119. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e3)) = (e3)) \/ (((op (e0) (e4)) = (e3)) \/ (((op (e0) (e5)) = (e3)) \/ ((op (e0) (e6)) = (e3))))))))) ((op (e0) (e4)) = (e3)) ### ConjTree 118 % 26.04/26.24 120. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom % 26.04/26.24 121. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e3)) \/ (((op (e4) (e0)) = (e3)) \/ (((op (e5) (e0)) = (e3)) \/ ((op (e6) (e0)) = (e3))))))))) ((op (e4) (e0)) = (e3)) ### ConjTree 120 % 26.04/26.24 122. ((op (e0) (e5)) = (e4)) ((op (e0) (e5)) != (e4)) ### Axiom % 26.04/26.24 123. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ (((op (e0) (e4)) = (e4)) \/ (((op (e0) (e5)) = (e4)) \/ ((op (e0) (e6)) = (e4))))))))) ((op (e0) (e5)) = (e4)) ### ConjTree 122 % 26.04/26.24 124. ((op (e5) (e0)) = (e4)) ((op (e5) (e0)) != (e4)) ### Axiom % 26.04/26.24 125. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ (((op (e4) (e0)) = (e4)) \/ (((op (e5) (e0)) = (e4)) \/ ((op (e6) (e0)) = (e4))))))))) ((op (e5) (e0)) = (e4)) ### ConjTree 124 % 26.04/26.24 126. ((op (e0) (e3)) = (e5)) ((op (e0) (e3)) != (e5)) ### Axiom % 26.04/26.24 127. (-. (((op (e0) (e0)) = (e5)) \/ (((op (e0) (e1)) = (e5)) \/ (((op (e0) (e2)) = (e5)) \/ (((op (e0) (e3)) = (e5)) \/ (((op (e0) (e4)) = (e5)) \/ (((op (e0) (e5)) = (e5)) \/ ((op (e0) (e6)) = (e5))))))))) ((op (e0) (e3)) = (e5)) ### ConjTree 126 % 26.04/26.24 128. ((op (e3) (e0)) = (e5)) ((op (e3) (e0)) != (e5)) ### Axiom % 26.04/26.24 129. (-. (((op (e0) (e0)) = (e5)) \/ (((op (e1) (e0)) = (e5)) \/ (((op (e2) (e0)) = (e5)) \/ (((op (e3) (e0)) = (e5)) \/ (((op (e4) (e0)) = (e5)) \/ (((op (e5) (e0)) = (e5)) \/ ((op (e6) (e0)) = (e5))))))))) ((op (e3) (e0)) = (e5)) ### ConjTree 128 % 26.04/26.24 130. ((op (e0) (e6)) = (e6)) ((op (e0) (e6)) != (e6)) ### Axiom % 26.04/26.24 131. (-. (((op (e0) (e0)) = (e6)) \/ (((op (e0) (e1)) = (e6)) \/ (((op (e0) (e2)) = (e6)) \/ (((op (e0) (e3)) = (e6)) \/ (((op (e0) (e4)) = (e6)) \/ (((op (e0) (e5)) = (e6)) \/ ((op (e0) (e6)) = (e6))))))))) ((op (e0) (e6)) = (e6)) ### ConjTree 130 % 26.04/26.24 132. ((op (e6) (e0)) = (e6)) ((op (e6) (e0)) != (e6)) ### Axiom % 26.04/26.24 133. (-. (((op (e0) (e0)) = (e6)) \/ (((op (e1) (e0)) = (e6)) \/ (((op (e2) (e0)) = (e6)) \/ (((op (e3) (e0)) = (e6)) \/ (((op (e4) (e0)) = (e6)) \/ (((op (e5) (e0)) = (e6)) \/ ((op (e6) (e0)) = (e6))))))))) ((op (e6) (e0)) = (e6)) ### ConjTree 132 % 26.04/26.24 134. ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (e0)) ### Axiom % 26.04/26.24 135. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e5)) = (e0)) \/ ((op (e1) (e6)) = (e0))))))))) ((op (e1) (e0)) = (e0)) ### ConjTree 134 % 26.04/26.24 136. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 26.04/26.24 137. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e5) (e1)) = (e0)) \/ ((op (e6) (e1)) = (e0))))))))) ((op (e0) (e1)) = (e0)) ### ConjTree 136 % 26.04/26.24 138. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 26.04/26.24 139. (-. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e5)) = (e1)) \/ ((op (e1) (e6)) = (e1))))))))) ((op (e1) (e3)) = (e1)) ### ConjTree 138 % 26.04/26.24 140. ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (e1)) ### Axiom % 26.04/26.24 141. (-. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e5) (e1)) = (e1)) \/ ((op (e6) (e1)) = (e1))))))))) ((op (e3) (e1)) = (e1)) ### ConjTree 140 % 26.04/26.24 142. ((op (e1) (e5)) = (e2)) ((op (e1) (e5)) != (e2)) ### Axiom % 26.04/26.24 143. (-. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e5)) = (e2)) \/ ((op (e1) (e6)) = (e2))))))))) ((op (e1) (e5)) = (e2)) ### ConjTree 142 % 26.04/26.24 144. ((op (e5) (e1)) = (e2)) ((op (e5) (e1)) != (e2)) ### Axiom % 26.04/26.24 145. (-. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e5) (e1)) = (e2)) \/ ((op (e6) (e1)) = (e2))))))))) ((op (e5) (e1)) = (e2)) ### ConjTree 144 % 26.04/26.24 146. ((op (e1) (e6)) = (e3)) ((op (e1) (e6)) != (e3)) ### Axiom % 26.04/26.24 147. (-. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e1) (e5)) = (e3)) \/ ((op (e1) (e6)) = (e3))))))))) ((op (e1) (e6)) = (e3)) ### ConjTree 146 % 26.04/26.24 148. ((op (e6) (e1)) = (e3)) ((op (e6) (e1)) != (e3)) ### Axiom % 26.04/26.24 149. (-. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e5) (e1)) = (e3)) \/ ((op (e6) (e1)) = (e3))))))))) ((op (e6) (e1)) = (e3)) ### ConjTree 148 % 26.04/26.24 150. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 26.04/26.24 151. (-. (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e1) (e5)) = (e4)) \/ ((op (e1) (e6)) = (e4))))))))) ((op (e1) (e2)) = (e4)) ### ConjTree 150 % 26.04/26.24 152. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 26.04/26.24 153. (-. (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e5) (e1)) = (e4)) \/ ((op (e6) (e1)) = (e4))))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 152 % 26.04/26.24 154. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 26.04/26.24 155. (-. (((op (e1) (e0)) = (e5)) \/ (((op (e1) (e1)) = (e5)) \/ (((op (e1) (e2)) = (e5)) \/ (((op (e1) (e3)) = (e5)) \/ (((op (e1) (e4)) = (e5)) \/ (((op (e1) (e5)) = (e5)) \/ ((op (e1) (e6)) = (e5))))))))) ((op (e1) (e4)) = (e5)) ### ConjTree 154 % 26.04/26.24 156. ((op (e4) (e1)) = (e5)) ((op (e4) (e1)) != (e5)) ### Axiom % 26.04/26.24 157. (-. (((op (e0) (e1)) = (e5)) \/ (((op (e1) (e1)) = (e5)) \/ (((op (e2) (e1)) = (e5)) \/ (((op (e3) (e1)) = (e5)) \/ (((op (e4) (e1)) = (e5)) \/ (((op (e5) (e1)) = (e5)) \/ ((op (e6) (e1)) = (e5))))))))) ((op (e4) (e1)) = (e5)) ### ConjTree 156 % 26.04/26.24 158. ((op (e1) (e1)) = (e6)) ((op (e1) (e1)) != (e6)) ### Axiom % 26.04/26.24 159. (-. (((op (e1) (e0)) = (e6)) \/ (((op (e1) (e1)) = (e6)) \/ (((op (e1) (e2)) = (e6)) \/ (((op (e1) (e3)) = (e6)) \/ (((op (e1) (e4)) = (e6)) \/ (((op (e1) (e5)) = (e6)) \/ ((op (e1) (e6)) = (e6))))))))) ((op (e1) (e1)) = (e6)) ### ConjTree 158 % 26.04/26.24 160. ((op (e1) (e1)) = (e6)) ((op (e1) (e1)) != (e6)) ### Axiom % 26.04/26.24 161. (-. (((op (e0) (e1)) = (e6)) \/ (((op (e1) (e1)) = (e6)) \/ (((op (e2) (e1)) = (e6)) \/ (((op (e3) (e1)) = (e6)) \/ (((op (e4) (e1)) = (e6)) \/ (((op (e5) (e1)) = (e6)) \/ ((op (e6) (e1)) = (e6))))))))) ((op (e1) (e1)) = (e6)) ### ConjTree 160 % 26.04/26.24 162. ((op (e2) (e4)) = (e0)) ((op (e2) (e4)) != (e0)) ### Axiom % 26.04/26.24 163. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e5)) = (e0)) \/ ((op (e2) (e6)) = (e0))))))))) ((op (e2) (e4)) = (e0)) ### ConjTree 162 % 26.04/26.24 164. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom % 26.04/26.24 165. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e5) (e2)) = (e0)) \/ ((op (e6) (e2)) = (e0))))))))) ((op (e4) (e2)) = (e0)) ### ConjTree 164 % 26.04/26.24 166. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom % 26.04/26.24 167. (-. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e5)) = (e1)) \/ ((op (e2) (e6)) = (e1))))))))) ((op (e2) (e0)) = (e1)) ### ConjTree 166 % 26.04/26.24 168. ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (e1)) ### Axiom % 26.04/26.24 169. (-. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e5) (e2)) = (e1)) \/ ((op (e6) (e2)) = (e1))))))))) ((op (e0) (e2)) = (e1)) ### ConjTree 168 % 26.04/26.24 170. ((op (e2) (e6)) = (e2)) ((op (e2) (e6)) != (e2)) ### Axiom % 26.04/26.24 171. (-. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e5)) = (e2)) \/ ((op (e2) (e6)) = (e2))))))))) ((op (e2) (e6)) = (e2)) ### ConjTree 170 % 26.04/26.24 172. ((op (e6) (e2)) = (e2)) ((op (e6) (e2)) != (e2)) ### Axiom % 26.04/26.24 173. (-. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e5) (e2)) = (e2)) \/ ((op (e6) (e2)) = (e2))))))))) ((op (e6) (e2)) = (e2)) ### ConjTree 172 % 26.04/26.24 174. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 26.04/26.24 175. (-. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e2) (e5)) = (e3)) \/ ((op (e2) (e6)) = (e3))))))))) ((op (e2) (e2)) = (e3)) ### ConjTree 174 % 26.04/26.24 176. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 26.04/26.24 177. (-. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e5) (e2)) = (e3)) \/ ((op (e6) (e2)) = (e3))))))))) ((op (e2) (e2)) = (e3)) ### ConjTree 176 % 26.04/26.24 178. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 26.04/26.24 179. (-. (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e2) (e5)) = (e4)) \/ ((op (e2) (e6)) = (e4))))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 178 % 26.04/26.24 180. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 26.04/26.24 181. (-. (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e5) (e2)) = (e4)) \/ ((op (e6) (e2)) = (e4))))))))) ((op (e1) (e2)) = (e4)) ### ConjTree 180 % 26.04/26.24 182. ((op (e2) (e5)) = (e5)) ((op (e2) (e5)) != (e5)) ### Axiom % 26.04/26.24 183. (-. (((op (e2) (e0)) = (e5)) \/ (((op (e2) (e1)) = (e5)) \/ (((op (e2) (e2)) = (e5)) \/ (((op (e2) (e3)) = (e5)) \/ (((op (e2) (e4)) = (e5)) \/ (((op (e2) (e5)) = (e5)) \/ ((op (e2) (e6)) = (e5))))))))) ((op (e2) (e5)) = (e5)) ### ConjTree 182 % 26.04/26.24 184. ((op (e5) (e2)) = (e5)) ((op (e5) (e2)) != (e5)) ### Axiom % 26.04/26.24 185. (-. (((op (e0) (e2)) = (e5)) \/ (((op (e1) (e2)) = (e5)) \/ (((op (e2) (e2)) = (e5)) \/ (((op (e3) (e2)) = (e5)) \/ (((op (e4) (e2)) = (e5)) \/ (((op (e5) (e2)) = (e5)) \/ ((op (e6) (e2)) = (e5))))))))) ((op (e5) (e2)) = (e5)) ### ConjTree 184 % 26.04/26.24 186. ((op (e2) (e3)) = (e6)) ((op (e2) (e3)) != (e6)) ### Axiom % 26.04/26.24 187. (-. (((op (e2) (e0)) = (e6)) \/ (((op (e2) (e1)) = (e6)) \/ (((op (e2) (e2)) = (e6)) \/ (((op (e2) (e3)) = (e6)) \/ (((op (e2) (e4)) = (e6)) \/ (((op (e2) (e5)) = (e6)) \/ ((op (e2) (e6)) = (e6))))))))) ((op (e2) (e3)) = (e6)) ### ConjTree 186 % 26.04/26.24 188. ((op (e3) (e2)) = (e6)) ((op (e3) (e2)) != (e6)) ### Axiom % 26.04/26.24 189. (-. (((op (e0) (e2)) = (e6)) \/ (((op (e1) (e2)) = (e6)) \/ (((op (e2) (e2)) = (e6)) \/ (((op (e3) (e2)) = (e6)) \/ (((op (e4) (e2)) = (e6)) \/ (((op (e5) (e2)) = (e6)) \/ ((op (e6) (e2)) = (e6))))))))) ((op (e3) (e2)) = (e6)) ### ConjTree 188 % 26.04/26.24 190. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 26.04/26.24 191. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ (((op (e3) (e5)) = (e0)) \/ ((op (e3) (e6)) = (e0))))))))) ((op (e3) (e3)) = (e0)) ### ConjTree 190 % 26.04/26.24 192. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 26.04/26.24 193. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ (((op (e5) (e3)) = (e0)) \/ ((op (e6) (e3)) = (e0))))))))) ((op (e3) (e3)) = (e0)) ### ConjTree 192 % 26.04/26.24 194. ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (e1)) ### Axiom % 26.04/26.24 195. (-. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e5)) = (e1)) \/ ((op (e3) (e6)) = (e1))))))))) ((op (e3) (e1)) = (e1)) ### ConjTree 194 % 26.04/26.24 196. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 26.04/26.24 197. (-. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e5) (e3)) = (e1)) \/ ((op (e6) (e3)) = (e1))))))))) ((op (e1) (e3)) = (e1)) ### ConjTree 196 % 26.04/26.24 198. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom % 26.04/26.24 199. (-. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e5)) = (e2)) \/ ((op (e3) (e6)) = (e2))))))))) ((op (e3) (e4)) = (e2)) ### ConjTree 198 % 26.04/26.24 200. ((op (e4) (e3)) = (e2)) ((op (e4) (e3)) != (e2)) ### Axiom % 26.04/26.24 201. (-. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e5) (e3)) = (e2)) \/ ((op (e6) (e3)) = (e2))))))))) ((op (e4) (e3)) = (e2)) ### ConjTree 200 % 26.04/26.24 202. ((op (e3) (e5)) = (e3)) ((op (e3) (e5)) != (e3)) ### Axiom % 26.04/26.24 203. (-. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ (((op (e3) (e5)) = (e3)) \/ ((op (e3) (e6)) = (e3))))))))) ((op (e3) (e5)) = (e3)) ### ConjTree 202 % 26.04/26.24 204. ((op (e5) (e3)) = (e3)) ((op (e5) (e3)) != (e3)) ### Axiom % 26.04/26.24 205. (-. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ (((op (e5) (e3)) = (e3)) \/ ((op (e6) (e3)) = (e3))))))))) ((op (e5) (e3)) = (e3)) ### ConjTree 204 % 26.04/26.24 206. ((op (e3) (e6)) = (e4)) ((op (e3) (e6)) != (e4)) ### Axiom % 26.04/26.24 207. (-. (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ (((op (e3) (e5)) = (e4)) \/ ((op (e3) (e6)) = (e4))))))))) ((op (e3) (e6)) = (e4)) ### ConjTree 206 % 26.04/26.24 208. ((op (e6) (e3)) = (e4)) ((op (e6) (e3)) != (e4)) ### Axiom % 26.04/26.24 209. (-. (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ (((op (e5) (e3)) = (e4)) \/ ((op (e6) (e3)) = (e4))))))))) ((op (e6) (e3)) = (e4)) ### ConjTree 208 % 26.04/26.24 210. ((op (e3) (e0)) = (e5)) ((op (e3) (e0)) != (e5)) ### Axiom % 26.04/26.24 211. (-. (((op (e3) (e0)) = (e5)) \/ (((op (e3) (e1)) = (e5)) \/ (((op (e3) (e2)) = (e5)) \/ (((op (e3) (e3)) = (e5)) \/ (((op (e3) (e4)) = (e5)) \/ (((op (e3) (e5)) = (e5)) \/ ((op (e3) (e6)) = (e5))))))))) ((op (e3) (e0)) = (e5)) ### ConjTree 210 % 26.04/26.24 212. ((op (e0) (e3)) = (e5)) ((op (e0) (e3)) != (e5)) ### Axiom % 26.04/26.24 213. (-. (((op (e0) (e3)) = (e5)) \/ (((op (e1) (e3)) = (e5)) \/ (((op (e2) (e3)) = (e5)) \/ (((op (e3) (e3)) = (e5)) \/ (((op (e4) (e3)) = (e5)) \/ (((op (e5) (e3)) = (e5)) \/ ((op (e6) (e3)) = (e5))))))))) ((op (e0) (e3)) = (e5)) ### ConjTree 212 % 26.04/26.24 214. ((op (e3) (e2)) = (e6)) ((op (e3) (e2)) != (e6)) ### Axiom % 26.04/26.24 215. (-. (((op (e3) (e0)) = (e6)) \/ (((op (e3) (e1)) = (e6)) \/ (((op (e3) (e2)) = (e6)) \/ (((op (e3) (e3)) = (e6)) \/ (((op (e3) (e4)) = (e6)) \/ (((op (e3) (e5)) = (e6)) \/ ((op (e3) (e6)) = (e6))))))))) ((op (e3) (e2)) = (e6)) ### ConjTree 214 % 26.04/26.24 216. ((op (e2) (e3)) = (e6)) ((op (e2) (e3)) != (e6)) ### Axiom % 26.04/26.24 217. (-. (((op (e0) (e3)) = (e6)) \/ (((op (e1) (e3)) = (e6)) \/ (((op (e2) (e3)) = (e6)) \/ (((op (e3) (e3)) = (e6)) \/ (((op (e4) (e3)) = (e6)) \/ (((op (e5) (e3)) = (e6)) \/ ((op (e6) (e3)) = (e6))))))))) ((op (e2) (e3)) = (e6)) ### ConjTree 216 % 26.04/26.24 218. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom % 26.04/26.24 219. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e5)) = (e0)) \/ ((op (e4) (e6)) = (e0))))))))) ((op (e4) (e2)) = (e0)) ### ConjTree 218 % 26.04/26.24 220. ((op (e2) (e4)) = (e0)) ((op (e2) (e4)) != (e0)) ### Axiom % 26.04/26.24 221. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e0)) \/ (((op (e5) (e4)) = (e0)) \/ ((op (e6) (e4)) = (e0))))))))) ((op (e2) (e4)) = (e0)) ### ConjTree 220 % 26.04/26.24 222. ((op (e4) (e6)) = (e1)) ((op (e4) (e6)) != (e1)) ### Axiom % 26.04/26.24 223. (-. (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e5)) = (e1)) \/ ((op (e4) (e6)) = (e1))))))))) ((op (e4) (e6)) = (e1)) ### ConjTree 222 % 26.04/26.24 224. ((op (e6) (e4)) = (e1)) ((op (e6) (e4)) != (e1)) ### Axiom % 26.04/26.24 225. (-. (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e5) (e4)) = (e1)) \/ ((op (e6) (e4)) = (e1))))))))) ((op (e6) (e4)) = (e1)) ### ConjTree 224 % 26.04/26.24 226. ((op (e4) (e3)) = (e2)) ((op (e4) (e3)) != (e2)) ### Axiom % 26.04/26.24 227. (-. (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e5)) = (e2)) \/ ((op (e4) (e6)) = (e2))))))))) ((op (e4) (e3)) = (e2)) ### ConjTree 226 % 26.04/26.24 228. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom % 26.04/26.24 229. (-. (((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e5) (e4)) = (e2)) \/ ((op (e6) (e4)) = (e2))))))))) ((op (e3) (e4)) = (e2)) ### ConjTree 228 % 26.04/26.24 230. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom % 26.04/26.24 231. (-. (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ (((op (e4) (e4)) = (e3)) \/ (((op (e4) (e5)) = (e3)) \/ ((op (e4) (e6)) = (e3))))))))) ((op (e4) (e0)) = (e3)) ### ConjTree 230 % 26.04/26.24 232. ((op (e0) (e4)) = (e3)) ((op (e0) (e4)) != (e3)) ### Axiom % 26.04/26.24 233. (-. (((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ (((op (e4) (e4)) = (e3)) \/ (((op (e5) (e4)) = (e3)) \/ ((op (e6) (e4)) = (e3))))))))) ((op (e0) (e4)) = (e3)) ### ConjTree 232 % 26.04/26.24 234. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom % 26.04/26.24 235. (-. (((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ (((op (e4) (e4)) = (e4)) \/ (((op (e4) (e5)) = (e4)) \/ ((op (e4) (e6)) = (e4))))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 234 % 26.04/26.24 236. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom % 26.04/26.24 237. (-. (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ (((op (e4) (e4)) = (e4)) \/ (((op (e5) (e4)) = (e4)) \/ ((op (e6) (e4)) = (e4))))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 236 % 26.04/26.24 238. ((op (e4) (e1)) = (e5)) ((op (e4) (e1)) != (e5)) ### Axiom % 26.04/26.24 239. (-. (((op (e4) (e0)) = (e5)) \/ (((op (e4) (e1)) = (e5)) \/ (((op (e4) (e2)) = (e5)) \/ (((op (e4) (e3)) = (e5)) \/ (((op (e4) (e4)) = (e5)) \/ (((op (e4) (e5)) = (e5)) \/ ((op (e4) (e6)) = (e5))))))))) ((op (e4) (e1)) = (e5)) ### ConjTree 238 % 26.04/26.24 240. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 26.04/26.24 241. (-. (((op (e0) (e4)) = (e5)) \/ (((op (e1) (e4)) = (e5)) \/ (((op (e2) (e4)) = (e5)) \/ (((op (e3) (e4)) = (e5)) \/ (((op (e4) (e4)) = (e5)) \/ (((op (e5) (e4)) = (e5)) \/ ((op (e6) (e4)) = (e5))))))))) ((op (e1) (e4)) = (e5)) ### ConjTree 240 % 26.04/26.24 242. ((op (e4) (e5)) = (e6)) ((op (e4) (e5)) != (e6)) ### Axiom % 26.04/26.24 243. (-. (((op (e4) (e0)) = (e6)) \/ (((op (e4) (e1)) = (e6)) \/ (((op (e4) (e2)) = (e6)) \/ (((op (e4) (e3)) = (e6)) \/ (((op (e4) (e4)) = (e6)) \/ (((op (e4) (e5)) = (e6)) \/ ((op (e4) (e6)) = (e6))))))))) ((op (e4) (e5)) = (e6)) ### ConjTree 242 % 26.04/26.24 244. ((op (e5) (e4)) = (e6)) ((op (e5) (e4)) != (e6)) ### Axiom % 26.04/26.24 245. (-. (((op (e0) (e4)) = (e6)) \/ (((op (e1) (e4)) = (e6)) \/ (((op (e2) (e4)) = (e6)) \/ (((op (e3) (e4)) = (e6)) \/ (((op (e4) (e4)) = (e6)) \/ (((op (e5) (e4)) = (e6)) \/ ((op (e6) (e4)) = (e6))))))))) ((op (e5) (e4)) = (e6)) ### ConjTree 244 % 26.04/26.24 246. ((op (e5) (e6)) = (e0)) ((op (e5) (e6)) != (e0)) ### Axiom % 26.04/26.24 247. (-. (((op (e5) (e0)) = (e0)) \/ (((op (e5) (e1)) = (e0)) \/ (((op (e5) (e2)) = (e0)) \/ (((op (e5) (e3)) = (e0)) \/ (((op (e5) (e4)) = (e0)) \/ (((op (e5) (e5)) = (e0)) \/ ((op (e5) (e6)) = (e0))))))))) ((op (e5) (e6)) = (e0)) ### ConjTree 246 % 26.04/26.24 248. ((op (e6) (e5)) = (e0)) ((op (e6) (e5)) != (e0)) ### Axiom % 26.04/26.24 249. (-. (((op (e0) (e5)) = (e0)) \/ (((op (e1) (e5)) = (e0)) \/ (((op (e2) (e5)) = (e0)) \/ (((op (e3) (e5)) = (e0)) \/ (((op (e4) (e5)) = (e0)) \/ (((op (e5) (e5)) = (e0)) \/ ((op (e6) (e5)) = (e0))))))))) ((op (e6) (e5)) = (e0)) ### ConjTree 248 % 26.04/26.24 250. ((op (e5) (e5)) = (e1)) ((op (e5) (e5)) != (e1)) ### Axiom % 26.04/26.24 251. (-. (((op (e5) (e0)) = (e1)) \/ (((op (e5) (e1)) = (e1)) \/ (((op (e5) (e2)) = (e1)) \/ (((op (e5) (e3)) = (e1)) \/ (((op (e5) (e4)) = (e1)) \/ (((op (e5) (e5)) = (e1)) \/ ((op (e5) (e6)) = (e1))))))))) ((op (e5) (e5)) = (e1)) ### ConjTree 250 % 26.04/26.24 252. ((op (e5) (e5)) = (e1)) ((op (e5) (e5)) != (e1)) ### Axiom % 26.04/26.24 253. (-. (((op (e0) (e5)) = (e1)) \/ (((op (e1) (e5)) = (e1)) \/ (((op (e2) (e5)) = (e1)) \/ (((op (e3) (e5)) = (e1)) \/ (((op (e4) (e5)) = (e1)) \/ (((op (e5) (e5)) = (e1)) \/ ((op (e6) (e5)) = (e1))))))))) ((op (e5) (e5)) = (e1)) ### ConjTree 252 % 26.04/26.24 254. ((op (e5) (e1)) = (e2)) ((op (e5) (e1)) != (e2)) ### Axiom % 26.04/26.24 255. (-. (((op (e5) (e0)) = (e2)) \/ (((op (e5) (e1)) = (e2)) \/ (((op (e5) (e2)) = (e2)) \/ (((op (e5) (e3)) = (e2)) \/ (((op (e5) (e4)) = (e2)) \/ (((op (e5) (e5)) = (e2)) \/ ((op (e5) (e6)) = (e2))))))))) ((op (e5) (e1)) = (e2)) ### ConjTree 254 % 26.04/26.24 256. ((op (e1) (e5)) = (e2)) ((op (e1) (e5)) != (e2)) ### Axiom % 26.04/26.24 257. (-. (((op (e0) (e5)) = (e2)) \/ (((op (e1) (e5)) = (e2)) \/ (((op (e2) (e5)) = (e2)) \/ (((op (e3) (e5)) = (e2)) \/ (((op (e4) (e5)) = (e2)) \/ (((op (e5) (e5)) = (e2)) \/ ((op (e6) (e5)) = (e2))))))))) ((op (e1) (e5)) = (e2)) ### ConjTree 256 % 26.04/26.24 258. ((op (e5) (e3)) = (e3)) ((op (e5) (e3)) != (e3)) ### Axiom % 26.04/26.24 259. (-. (((op (e5) (e0)) = (e3)) \/ (((op (e5) (e1)) = (e3)) \/ (((op (e5) (e2)) = (e3)) \/ (((op (e5) (e3)) = (e3)) \/ (((op (e5) (e4)) = (e3)) \/ (((op (e5) (e5)) = (e3)) \/ ((op (e5) (e6)) = (e3))))))))) ((op (e5) (e3)) = (e3)) ### ConjTree 258 % 26.04/26.24 260. ((op (e3) (e5)) = (e3)) ((op (e3) (e5)) != (e3)) ### Axiom % 26.04/26.24 261. (-. (((op (e0) (e5)) = (e3)) \/ (((op (e1) (e5)) = (e3)) \/ (((op (e2) (e5)) = (e3)) \/ (((op (e3) (e5)) = (e3)) \/ (((op (e4) (e5)) = (e3)) \/ (((op (e5) (e5)) = (e3)) \/ ((op (e6) (e5)) = (e3))))))))) ((op (e3) (e5)) = (e3)) ### ConjTree 260 % 26.04/26.24 262. ((op (e5) (e0)) = (e4)) ((op (e5) (e0)) != (e4)) ### Axiom % 26.04/26.24 263. (-. (((op (e5) (e0)) = (e4)) \/ (((op (e5) (e1)) = (e4)) \/ (((op (e5) (e2)) = (e4)) \/ (((op (e5) (e3)) = (e4)) \/ (((op (e5) (e4)) = (e4)) \/ (((op (e5) (e5)) = (e4)) \/ ((op (e5) (e6)) = (e4))))))))) ((op (e5) (e0)) = (e4)) ### ConjTree 262 % 26.04/26.24 264. ((op (e0) (e5)) = (e4)) ((op (e0) (e5)) != (e4)) ### Axiom % 26.04/26.24 265. (-. (((op (e0) (e5)) = (e4)) \/ (((op (e1) (e5)) = (e4)) \/ (((op (e2) (e5)) = (e4)) \/ (((op (e3) (e5)) = (e4)) \/ (((op (e4) (e5)) = (e4)) \/ (((op (e5) (e5)) = (e4)) \/ ((op (e6) (e5)) = (e4))))))))) ((op (e0) (e5)) = (e4)) ### ConjTree 264 % 26.04/26.24 266. ((op (e5) (e2)) = (e5)) ((op (e5) (e2)) != (e5)) ### Axiom % 26.04/26.24 267. (-. (((op (e5) (e0)) = (e5)) \/ (((op (e5) (e1)) = (e5)) \/ (((op (e5) (e2)) = (e5)) \/ (((op (e5) (e3)) = (e5)) \/ (((op (e5) (e4)) = (e5)) \/ (((op (e5) (e5)) = (e5)) \/ ((op (e5) (e6)) = (e5))))))))) ((op (e5) (e2)) = (e5)) ### ConjTree 266 % 26.04/26.24 268. ((op (e2) (e5)) = (e5)) ((op (e2) (e5)) != (e5)) ### Axiom % 26.04/26.24 269. (-. (((op (e0) (e5)) = (e5)) \/ (((op (e1) (e5)) = (e5)) \/ (((op (e2) (e5)) = (e5)) \/ (((op (e3) (e5)) = (e5)) \/ (((op (e4) (e5)) = (e5)) \/ (((op (e5) (e5)) = (e5)) \/ ((op (e6) (e5)) = (e5))))))))) ((op (e2) (e5)) = (e5)) ### ConjTree 268 % 26.04/26.24 270. ((op (e5) (e4)) = (e6)) ((op (e5) (e4)) != (e6)) ### Axiom % 26.04/26.24 271. (-. (((op (e5) (e0)) = (e6)) \/ (((op (e5) (e1)) = (e6)) \/ (((op (e5) (e2)) = (e6)) \/ (((op (e5) (e3)) = (e6)) \/ (((op (e5) (e4)) = (e6)) \/ (((op (e5) (e5)) = (e6)) \/ ((op (e5) (e6)) = (e6))))))))) ((op (e5) (e4)) = (e6)) ### ConjTree 270 % 26.04/26.24 272. ((op (e4) (e5)) = (e6)) ((op (e4) (e5)) != (e6)) ### Axiom % 26.04/26.24 273. (-. (((op (e0) (e5)) = (e6)) \/ (((op (e1) (e5)) = (e6)) \/ (((op (e2) (e5)) = (e6)) \/ (((op (e3) (e5)) = (e6)) \/ (((op (e4) (e5)) = (e6)) \/ (((op (e5) (e5)) = (e6)) \/ ((op (e6) (e5)) = (e6))))))))) ((op (e4) (e5)) = (e6)) ### ConjTree 272 % 26.04/26.24 274. ((op (e6) (e5)) = (e0)) ((op (e6) (e5)) != (e0)) ### Axiom % 26.04/26.24 275. (-. (((op (e6) (e0)) = (e0)) \/ (((op (e6) (e1)) = (e0)) \/ (((op (e6) (e2)) = (e0)) \/ (((op (e6) (e3)) = (e0)) \/ (((op (e6) (e4)) = (e0)) \/ (((op (e6) (e5)) = (e0)) \/ ((op (e6) (e6)) = (e0))))))))) ((op (e6) (e5)) = (e0)) ### ConjTree 274 % 26.04/26.24 276. ((op (e5) (e6)) = (e0)) ((op (e5) (e6)) != (e0)) ### Axiom % 26.04/26.24 277. (-. (((op (e0) (e6)) = (e0)) \/ (((op (e1) (e6)) = (e0)) \/ (((op (e2) (e6)) = (e0)) \/ (((op (e3) (e6)) = (e0)) \/ (((op (e4) (e6)) = (e0)) \/ (((op (e5) (e6)) = (e0)) \/ ((op (e6) (e6)) = (e0))))))))) ((op (e5) (e6)) = (e0)) ### ConjTree 276 % 26.04/26.24 278. ((op (e6) (e4)) = (e1)) ((op (e6) (e4)) != (e1)) ### Axiom % 26.04/26.24 279. (-. (((op (e6) (e0)) = (e1)) \/ (((op (e6) (e1)) = (e1)) \/ (((op (e6) (e2)) = (e1)) \/ (((op (e6) (e3)) = (e1)) \/ (((op (e6) (e4)) = (e1)) \/ (((op (e6) (e5)) = (e1)) \/ ((op (e6) (e6)) = (e1))))))))) ((op (e6) (e4)) = (e1)) ### ConjTree 278 % 26.04/26.24 280. ((op (e4) (e6)) = (e1)) ((op (e4) (e6)) != (e1)) ### Axiom % 26.04/26.24 281. (-. (((op (e0) (e6)) = (e1)) \/ (((op (e1) (e6)) = (e1)) \/ (((op (e2) (e6)) = (e1)) \/ (((op (e3) (e6)) = (e1)) \/ (((op (e4) (e6)) = (e1)) \/ (((op (e5) (e6)) = (e1)) \/ ((op (e6) (e6)) = (e1))))))))) ((op (e4) (e6)) = (e1)) ### ConjTree 280 % 26.04/26.24 282. ((op (e6) (e2)) = (e2)) ((op (e6) (e2)) != (e2)) ### Axiom % 26.04/26.24 283. (-. (((op (e6) (e0)) = (e2)) \/ (((op (e6) (e1)) = (e2)) \/ (((op (e6) (e2)) = (e2)) \/ (((op (e6) (e3)) = (e2)) \/ (((op (e6) (e4)) = (e2)) \/ (((op (e6) (e5)) = (e2)) \/ ((op (e6) (e6)) = (e2))))))))) ((op (e6) (e2)) = (e2)) ### ConjTree 282 % 26.04/26.24 284. ((op (e2) (e6)) = (e2)) ((op (e2) (e6)) != (e2)) ### Axiom % 26.04/26.24 285. (-. (((op (e0) (e6)) = (e2)) \/ (((op (e1) (e6)) = (e2)) \/ (((op (e2) (e6)) = (e2)) \/ (((op (e3) (e6)) = (e2)) \/ (((op (e4) (e6)) = (e2)) \/ (((op (e5) (e6)) = (e2)) \/ ((op (e6) (e6)) = (e2))))))))) ((op (e2) (e6)) = (e2)) ### ConjTree 284 % 26.04/26.24 286. ((op (e6) (e1)) = (e3)) ((op (e6) (e1)) != (e3)) ### Axiom % 26.04/26.24 287. (-. (((op (e6) (e0)) = (e3)) \/ (((op (e6) (e1)) = (e3)) \/ (((op (e6) (e2)) = (e3)) \/ (((op (e6) (e3)) = (e3)) \/ (((op (e6) (e4)) = (e3)) \/ (((op (e6) (e5)) = (e3)) \/ ((op (e6) (e6)) = (e3))))))))) ((op (e6) (e1)) = (e3)) ### ConjTree 286 % 26.04/26.24 288. ((op (e1) (e6)) = (e3)) ((op (e1) (e6)) != (e3)) ### Axiom % 26.04/26.24 289. (-. (((op (e0) (e6)) = (e3)) \/ (((op (e1) (e6)) = (e3)) \/ (((op (e2) (e6)) = (e3)) \/ (((op (e3) (e6)) = (e3)) \/ (((op (e4) (e6)) = (e3)) \/ (((op (e5) (e6)) = (e3)) \/ ((op (e6) (e6)) = (e3))))))))) ((op (e1) (e6)) = (e3)) ### ConjTree 288 % 26.04/26.24 290. ((op (e6) (e3)) = (e4)) ((op (e6) (e3)) != (e4)) ### Axiom % 26.04/26.24 291. (-. (((op (e6) (e0)) = (e4)) \/ (((op (e6) (e1)) = (e4)) \/ (((op (e6) (e2)) = (e4)) \/ (((op (e6) (e3)) = (e4)) \/ (((op (e6) (e4)) = (e4)) \/ (((op (e6) (e5)) = (e4)) \/ ((op (e6) (e6)) = (e4))))))))) ((op (e6) (e3)) = (e4)) ### ConjTree 290 % 26.04/26.24 292. ((op (e3) (e6)) = (e4)) ((op (e3) (e6)) != (e4)) ### Axiom % 26.04/26.24 293. (-. (((op (e0) (e6)) = (e4)) \/ (((op (e1) (e6)) = (e4)) \/ (((op (e2) (e6)) = (e4)) \/ (((op (e3) (e6)) = (e4)) \/ (((op (e4) (e6)) = (e4)) \/ (((op (e5) (e6)) = (e4)) \/ ((op (e6) (e6)) = (e4))))))))) ((op (e3) (e6)) = (e4)) ### ConjTree 292 % 26.04/26.24 294. ((op (e6) (e6)) = (e5)) ((op (e6) (e6)) != (e5)) ### Axiom % 26.04/26.24 295. (-. (((op (e6) (e0)) = (e5)) \/ (((op (e6) (e1)) = (e5)) \/ (((op (e6) (e2)) = (e5)) \/ (((op (e6) (e3)) = (e5)) \/ (((op (e6) (e4)) = (e5)) \/ (((op (e6) (e5)) = (e5)) \/ ((op (e6) (e6)) = (e5))))))))) ((op (e6) (e6)) = (e5)) ### ConjTree 294 % 26.04/26.24 296. ((op (e6) (e6)) = (e5)) ((op (e6) (e6)) != (e5)) ### Axiom % 26.04/26.24 297. (-. (((op (e0) (e6)) = (e5)) \/ (((op (e1) (e6)) = (e5)) \/ (((op (e2) (e6)) = (e5)) \/ (((op (e3) (e6)) = (e5)) \/ (((op (e4) (e6)) = (e5)) \/ (((op (e5) (e6)) = (e5)) \/ ((op (e6) (e6)) = (e5))))))))) ((op (e6) (e6)) = (e5)) ### ConjTree 296 % 26.04/26.24 298. ((op (e6) (e0)) = (e6)) ((op (e6) (e0)) != (e6)) ### Axiom % 26.04/26.24 299. (-. (((op (e6) (e0)) = (e6)) \/ (((op (e6) (e1)) = (e6)) \/ (((op (e6) (e2)) = (e6)) \/ (((op (e6) (e3)) = (e6)) \/ (((op (e6) (e4)) = (e6)) \/ (((op (e6) (e5)) = (e6)) \/ ((op (e6) (e6)) = (e6))))))))) ((op (e6) (e0)) = (e6)) ### ConjTree 298 % 26.04/26.24 300. ((op (e0) (e6)) = (e6)) ((op (e0) (e6)) != (e6)) ### Axiom % 26.04/26.24 301. (-. (((op (e0) (e6)) = (e6)) \/ (((op (e1) (e6)) = (e6)) \/ (((op (e2) (e6)) = (e6)) \/ (((op (e3) (e6)) = (e6)) \/ (((op (e4) (e6)) = (e6)) \/ (((op (e5) (e6)) = (e6)) \/ ((op (e6) (e6)) = (e6))))))))) ((op (e0) (e6)) = (e6)) ### ConjTree 300 % 26.04/26.24 302. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom % 26.04/26.24 303. ((e0) != (e0)) ### NotEqual % 26.04/26.24 304. ((op (op (e0) (e0)) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ### NotEqual 302 303 % 26.04/26.24 305. ((e1) != (e1)) ### NotEqual % 26.04/26.24 306. ((op (op (e0) (e0)) (e0)) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans 304 305 % 26.04/26.24 307. ((op (op (op (e0) (e0)) (e0)) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ### NotEqual 306 303 % 26.04/26.24 308. ((op (op (op (e0) (e0)) (e0)) (e0)) != (e0)) ((op (e1) (e0)) = (e0)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans 307 303 % 26.04/26.24 309. ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (e0)) ### Axiom % 26.04/26.24 310. ((op (op (e1) (e0)) (e1)) != (op (e0) (e1))) ((op (e1) (e0)) = (e0)) ### NotEqual 309 305 % 26.04/26.24 311. ((op (op (e1) (e0)) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) = (e0)) ### Trans 310 303 % 26.04/26.24 312. ((op (op (op (e1) (e0)) (e1)) (e1)) != (op (e0) (e1))) ((op (e1) (e0)) = (e0)) ((op (e0) (e1)) = (e0)) ### NotEqual 311 305 % 26.04/26.24 313. ((op (op (op (e1) (e0)) (e1)) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e1) (e0)) = (e0)) ### Trans 312 303 % 26.04/26.24 314. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom % 26.04/26.24 315. ((e2) != (e2)) ### NotEqual % 26.04/26.24 316. ((op (op (e2) (e0)) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) = (e1)) ### NotEqual 314 315 % 26.04/26.24 317. ((e4) != (e4)) ### NotEqual % 26.04/26.24 318. ((op (op (e2) (e0)) (e2)) != (e4)) ((op (e1) (e2)) = (e4)) ((op (e2) (e0)) = (e1)) ### Trans 316 317 % 26.04/26.24 319. ((op (op (op (e2) (e0)) (e2)) (e2)) != (op (e4) (e2))) ((op (e2) (e0)) = (e1)) ((op (e1) (e2)) = (e4)) ### NotEqual 318 315 % 26.04/26.24 320. ((op (op (op (e2) (e0)) (e2)) (e2)) != (e0)) ((op (e4) (e2)) = (e0)) ((op (e1) (e2)) = (e4)) ((op (e2) (e0)) = (e1)) ### Trans 319 303 % 26.04/26.24 321. ((op (e3) (e0)) = (e5)) ((op (e3) (e0)) != (e5)) ### Axiom % 26.04/26.25 322. ((e3) != (e3)) ### NotEqual % 26.04/26.25 323. ((op (op (e3) (e0)) (e3)) != (op (e5) (e3))) ((op (e3) (e0)) = (e5)) ### NotEqual 321 322 % 26.04/26.25 324. ((op (op (e3) (e0)) (e3)) != (e3)) ((op (e5) (e3)) = (e3)) ((op (e3) (e0)) = (e5)) ### Trans 323 322 % 26.04/26.25 325. ((op (op (op (e3) (e0)) (e3)) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e5)) ((op (e5) (e3)) = (e3)) ### NotEqual 324 322 % 26.04/26.25 326. ((op (op (op (e3) (e0)) (e3)) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ((op (e5) (e3)) = (e3)) ((op (e3) (e0)) = (e5)) ### Trans 325 303 % 26.04/26.25 327. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom % 26.04/26.25 328. ((op (op (e4) (e0)) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) = (e3)) ### NotEqual 327 317 % 26.04/26.25 329. ((op (op (e4) (e0)) (e4)) != (e2)) ((op (e3) (e4)) = (e2)) ((op (e4) (e0)) = (e3)) ### Trans 328 315 % 26.04/26.25 330. ((op (op (op (e4) (e0)) (e4)) (e4)) != (op (e2) (e4))) ((op (e4) (e0)) = (e3)) ((op (e3) (e4)) = (e2)) ### NotEqual 329 317 % 26.04/26.25 331. ((op (op (op (e4) (e0)) (e4)) (e4)) != (e0)) ((op (e2) (e4)) = (e0)) ((op (e3) (e4)) = (e2)) ((op (e4) (e0)) = (e3)) ### Trans 330 303 % 26.04/26.25 332. ((op (e5) (e0)) = (e4)) ((op (e5) (e0)) != (e4)) ### Axiom % 26.04/26.25 333. ((op (op (e5) (e0)) (e5)) != (op (e4) (e5))) ((op (e5) (e0)) = (e4)) ### NotEqual 332 5 % 26.04/26.25 334. ((e6) != (e6)) ### NotEqual % 26.04/26.25 335. ((op (op (e5) (e0)) (e5)) != (e6)) ((op (e4) (e5)) = (e6)) ((op (e5) (e0)) = (e4)) ### Trans 333 334 % 26.04/26.25 336. ((op (op (op (e5) (e0)) (e5)) (e5)) != (op (e6) (e5))) ((op (e5) (e0)) = (e4)) ((op (e4) (e5)) = (e6)) ### NotEqual 335 5 % 26.04/26.25 337. ((op (op (op (e5) (e0)) (e5)) (e5)) != (e0)) ((op (e6) (e5)) = (e0)) ((op (e4) (e5)) = (e6)) ((op (e5) (e0)) = (e4)) ### Trans 336 303 % 26.04/26.25 338. ((op (e6) (e0)) = (e6)) ((op (e6) (e0)) != (e6)) ### Axiom % 26.04/26.25 339. ((op (op (e6) (e0)) (e6)) != (op (e6) (e6))) ((op (e6) (e0)) = (e6)) ### NotEqual 338 334 % 26.04/26.25 340. ((op (op (e6) (e0)) (e6)) != (e5)) ((op (e6) (e6)) = (e5)) ((op (e6) (e0)) = (e6)) ### Trans 339 5 % 26.04/26.25 341. ((op (op (op (e6) (e0)) (e6)) (e6)) != (op (e5) (e6))) ((op (e6) (e0)) = (e6)) ((op (e6) (e6)) = (e5)) ### NotEqual 340 334 % 26.04/26.25 342. ((op (op (op (e6) (e0)) (e6)) (e6)) != (e0)) ((op (e5) (e6)) = (e0)) ((op (e6) (e6)) = (e5)) ((op (e6) (e0)) = (e6)) ### Trans 341 303 % 26.04/26.25 343. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom % 26.04/26.25 344. ((op (op (e0) (e1)) (e0)) != (op (e0) (e0))) ((op (e0) (e1)) = (e0)) ### NotEqual 343 303 % 26.04/26.25 345. ((op (op (e0) (e1)) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) = (e0)) ### Trans 344 315 % 26.04/26.25 346. ((op (op (op (e0) (e1)) (e0)) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e2)) ### NotEqual 345 303 % 26.04/26.25 347. ((op (op (op (e0) (e1)) (e0)) (e0)) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) = (e0)) ### Trans 346 305 % 26.04/26.25 348. ((op (e1) (e1)) = (e6)) ((op (e1) (e1)) != (e6)) ### Axiom % 26.04/26.25 349. ((op (op (e1) (e1)) (e1)) != (op (e6) (e1))) ((op (e1) (e1)) = (e6)) ### NotEqual 348 305 % 26.04/26.25 350. ((op (op (e1) (e1)) (e1)) != (e3)) ((op (e6) (e1)) = (e3)) ((op (e1) (e1)) = (e6)) ### Trans 349 322 % 26.04/26.25 351. ((op (op (op (e1) (e1)) (e1)) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e6)) ((op (e6) (e1)) = (e3)) ### NotEqual 350 305 % 26.04/26.25 352. ((op (op (op (e1) (e1)) (e1)) (e1)) != (e1)) ((op (e3) (e1)) = (e1)) ((op (e6) (e1)) = (e3)) ((op (e1) (e1)) = (e6)) ### Trans 351 305 % 26.04/26.25 353. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 26.04/26.25 354. ((op (op (e2) (e1)) (e2)) != (op (e4) (e2))) ((op (e2) (e1)) = (e4)) ### NotEqual 353 315 % 26.04/26.25 355. ((op (op (e2) (e1)) (e2)) != (e0)) ((op (e4) (e2)) = (e0)) ((op (e2) (e1)) = (e4)) ### Trans 354 303 % 26.04/26.25 356. ((op (op (op (e2) (e1)) (e2)) (e2)) != (op (e0) (e2))) ((op (e2) (e1)) = (e4)) ((op (e4) (e2)) = (e0)) ### NotEqual 355 315 % 26.04/26.25 357. ((op (op (op (e2) (e1)) (e2)) (e2)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e4) (e2)) = (e0)) ((op (e2) (e1)) = (e4)) ### Trans 356 305 % 26.04/26.25 358. ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (e1)) ### Axiom % 26.04/26.25 359. ((op (op (e3) (e1)) (e3)) != (op (e1) (e3))) ((op (e3) (e1)) = (e1)) ### NotEqual 358 322 % 26.04/26.25 360. ((op (op (e3) (e1)) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e3) (e1)) = (e1)) ### Trans 359 305 % 26.04/26.25 361. ((op (op (op (e3) (e1)) (e3)) (e3)) != (op (e1) (e3))) ((op (e3) (e1)) = (e1)) ((op (e1) (e3)) = (e1)) ### NotEqual 360 322 % 26.04/26.25 362. ((op (op (op (e3) (e1)) (e3)) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e3) (e1)) = (e1)) ### Trans 361 305 % 26.04/26.25 363. ((op (e4) (e1)) = (e5)) ((op (e4) (e1)) != (e5)) ### Axiom % 26.04/26.25 364. ((op (op (e4) (e1)) (e4)) != (op (e5) (e4))) ((op (e4) (e1)) = (e5)) ### NotEqual 363 317 % 26.04/26.25 365. ((op (op (e4) (e1)) (e4)) != (e6)) ((op (e5) (e4)) = (e6)) ((op (e4) (e1)) = (e5)) ### Trans 364 334 % 26.04/26.25 366. ((op (op (op (e4) (e1)) (e4)) (e4)) != (op (e6) (e4))) ((op (e4) (e1)) = (e5)) ((op (e5) (e4)) = (e6)) ### NotEqual 365 317 % 26.04/26.25 367. ((op (op (op (e4) (e1)) (e4)) (e4)) != (e1)) ((op (e6) (e4)) = (e1)) ((op (e5) (e4)) = (e6)) ((op (e4) (e1)) = (e5)) ### Trans 366 305 % 26.04/26.25 368. ((op (e5) (e1)) = (e2)) ((op (e5) (e1)) != (e2)) ### Axiom % 26.04/26.25 369. ((op (op (e5) (e1)) (e5)) != (op (e2) (e5))) ((op (e5) (e1)) = (e2)) ### NotEqual 368 5 % 26.04/26.25 370. ((op (op (e5) (e1)) (e5)) != (e5)) ((op (e2) (e5)) = (e5)) ((op (e5) (e1)) = (e2)) ### Trans 369 5 % 26.04/26.25 371. ((op (op (op (e5) (e1)) (e5)) (e5)) != (op (e5) (e5))) ((op (e5) (e1)) = (e2)) ((op (e2) (e5)) = (e5)) ### NotEqual 370 5 % 26.04/26.25 372. ((op (op (op (e5) (e1)) (e5)) (e5)) != (e1)) ((op (e5) (e5)) = (e1)) ((op (e2) (e5)) = (e5)) ((op (e5) (e1)) = (e2)) ### Trans 371 305 % 26.04/26.25 373. ((op (e6) (e1)) = (e3)) ((op (e6) (e1)) != (e3)) ### Axiom % 26.04/26.25 374. ((op (op (e6) (e1)) (e6)) != (op (e3) (e6))) ((op (e6) (e1)) = (e3)) ### NotEqual 373 334 % 26.04/26.25 375. ((op (op (e6) (e1)) (e6)) != (e4)) ((op (e3) (e6)) = (e4)) ((op (e6) (e1)) = (e3)) ### Trans 374 317 % 26.04/26.25 376. ((op (op (op (e6) (e1)) (e6)) (e6)) != (op (e4) (e6))) ((op (e6) (e1)) = (e3)) ((op (e3) (e6)) = (e4)) ### NotEqual 375 334 % 26.04/26.25 377. ((op (op (op (e6) (e1)) (e6)) (e6)) != (e1)) ((op (e4) (e6)) = (e1)) ((op (e3) (e6)) = (e4)) ((op (e6) (e1)) = (e3)) ### Trans 376 305 % 26.04/26.25 378. ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (e1)) ### Axiom % 26.04/26.25 379. ((op (op (e0) (e2)) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e1)) ### NotEqual 378 303 % 26.04/26.25 380. ((op (op (e0) (e2)) (e0)) != (e0)) ((op (e1) (e0)) = (e0)) ((op (e0) (e2)) = (e1)) ### Trans 379 303 % 26.04/26.25 381. ((op (op (op (e0) (e2)) (e0)) (e0)) != (op (e0) (e0))) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) = (e0)) ### NotEqual 380 303 % 26.04/26.25 382. ((op (op (op (e0) (e2)) (e0)) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e0)) ((op (e0) (e2)) = (e1)) ### Trans 381 315 % 26.04/26.25 383. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 26.04/26.25 384. ((op (op (e1) (e2)) (e1)) != (op (e4) (e1))) ((op (e1) (e2)) = (e4)) ### NotEqual 383 305 % 26.04/26.25 385. ((op (op (e1) (e2)) (e1)) != (e5)) ((op (e4) (e1)) = (e5)) ((op (e1) (e2)) = (e4)) ### Trans 384 5 % 26.04/26.25 386. ((op (op (op (e1) (e2)) (e1)) (e1)) != (op (e5) (e1))) ((op (e1) (e2)) = (e4)) ((op (e4) (e1)) = (e5)) ### NotEqual 385 305 % 26.04/26.25 387. ((op (op (op (e1) (e2)) (e1)) (e1)) != (e2)) ((op (e5) (e1)) = (e2)) ((op (e4) (e1)) = (e5)) ((op (e1) (e2)) = (e4)) ### Trans 386 315 % 26.04/26.25 388. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 26.04/26.25 389. ((op (op (e2) (e2)) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) ### NotEqual 388 315 % 26.04/26.25 390. ((op (op (e2) (e2)) (e2)) != (e6)) ((op (e3) (e2)) = (e6)) ((op (e2) (e2)) = (e3)) ### Trans 389 334 % 26.04/26.25 391. ((op (op (op (e2) (e2)) (e2)) (e2)) != (op (e6) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) = (e6)) ### NotEqual 390 315 % 26.04/26.25 392. ((op (op (op (e2) (e2)) (e2)) (e2)) != (e2)) ((op (e6) (e2)) = (e2)) ((op (e3) (e2)) = (e6)) ((op (e2) (e2)) = (e3)) ### Trans 391 315 % 26.04/26.25 393. ((op (e3) (e2)) = (e6)) ((op (e3) (e2)) != (e6)) ### Axiom % 26.04/26.25 394. ((op (op (e3) (e2)) (e3)) != (op (e6) (e3))) ((op (e3) (e2)) = (e6)) ### NotEqual 393 322 % 26.04/26.25 395. ((op (op (e3) (e2)) (e3)) != (e4)) ((op (e6) (e3)) = (e4)) ((op (e3) (e2)) = (e6)) ### Trans 394 317 % 26.04/26.25 396. ((op (op (op (e3) (e2)) (e3)) (e3)) != (op (e4) (e3))) ((op (e3) (e2)) = (e6)) ((op (e6) (e3)) = (e4)) ### NotEqual 395 322 % 26.04/26.25 397. ((op (op (op (e3) (e2)) (e3)) (e3)) != (e2)) ((op (e4) (e3)) = (e2)) ((op (e6) (e3)) = (e4)) ((op (e3) (e2)) = (e6)) ### Trans 396 315 % 26.04/26.25 398. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom % 26.04/26.25 399. ((op (op (e4) (e2)) (e4)) != (op (e0) (e4))) ((op (e4) (e2)) = (e0)) ### NotEqual 398 317 % 26.04/26.25 400. ((op (op (e4) (e2)) (e4)) != (e3)) ((op (e0) (e4)) = (e3)) ((op (e4) (e2)) = (e0)) ### Trans 399 322 % 26.04/26.25 401. ((op (op (op (e4) (e2)) (e4)) (e4)) != (op (e3) (e4))) ((op (e4) (e2)) = (e0)) ((op (e0) (e4)) = (e3)) ### NotEqual 400 317 % 26.04/26.25 402. ((op (op (op (e4) (e2)) (e4)) (e4)) != (e2)) ((op (e3) (e4)) = (e2)) ((op (e0) (e4)) = (e3)) ((op (e4) (e2)) = (e0)) ### Trans 401 315 % 26.04/26.25 403. ((op (e5) (e2)) = (e5)) ((op (e5) (e2)) != (e5)) ### Axiom % 26.04/26.25 404. ((op (op (e5) (e2)) (e5)) != (op (e5) (e5))) ((op (e5) (e2)) = (e5)) ### NotEqual 403 5 % 26.04/26.25 405. ((op (op (e5) (e2)) (e5)) != (e1)) ((op (e5) (e5)) = (e1)) ((op (e5) (e2)) = (e5)) ### Trans 404 305 % 26.04/26.25 406. ((op (op (op (e5) (e2)) (e5)) (e5)) != (op (e1) (e5))) ((op (e5) (e2)) = (e5)) ((op (e5) (e5)) = (e1)) ### NotEqual 405 5 % 26.04/26.25 407. ((op (op (op (e5) (e2)) (e5)) (e5)) != (e2)) ((op (e1) (e5)) = (e2)) ((op (e5) (e5)) = (e1)) ((op (e5) (e2)) = (e5)) ### Trans 406 315 % 26.04/26.25 408. ((op (e6) (e2)) = (e2)) ((op (e6) (e2)) != (e2)) ### Axiom % 26.04/26.25 409. ((op (op (e6) (e2)) (e6)) != (op (e2) (e6))) ((op (e6) (e2)) = (e2)) ### NotEqual 408 334 % 26.04/26.25 410. ((op (op (e6) (e2)) (e6)) != (e2)) ((op (e2) (e6)) = (e2)) ((op (e6) (e2)) = (e2)) ### Trans 409 315 % 26.04/26.25 411. ((op (op (op (e6) (e2)) (e6)) (e6)) != (op (e2) (e6))) ((op (e6) (e2)) = (e2)) ((op (e2) (e6)) = (e2)) ### NotEqual 410 334 % 26.04/26.25 412. ((op (op (op (e6) (e2)) (e6)) (e6)) != (e2)) ((op (e2) (e6)) = (e2)) ((op (e6) (e2)) = (e2)) ### Trans 411 315 % 26.04/26.25 413. ((op (e0) (e3)) = (e5)) ((op (e0) (e3)) != (e5)) ### Axiom % 26.04/26.25 414. ((op (op (e0) (e3)) (e0)) != (op (e5) (e0))) ((op (e0) (e3)) = (e5)) ### NotEqual 413 303 % 26.04/26.25 415. ((op (op (e0) (e3)) (e0)) != (e4)) ((op (e5) (e0)) = (e4)) ((op (e0) (e3)) = (e5)) ### Trans 414 317 % 26.04/26.25 416. ((op (op (op (e0) (e3)) (e0)) (e0)) != (op (e4) (e0))) ((op (e0) (e3)) = (e5)) ((op (e5) (e0)) = (e4)) ### NotEqual 415 303 % 26.04/26.25 417. ((op (op (op (e0) (e3)) (e0)) (e0)) != (e3)) ((op (e4) (e0)) = (e3)) ((op (e5) (e0)) = (e4)) ((op (e0) (e3)) = (e5)) ### Trans 416 322 % 26.04/26.25 418. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom % 26.04/26.25 419. ((op (op (e1) (e3)) (e1)) != (op (e1) (e1))) ((op (e1) (e3)) = (e1)) ### NotEqual 418 305 % 26.04/26.25 420. ((op (op (e1) (e3)) (e1)) != (e6)) ((op (e1) (e1)) = (e6)) ((op (e1) (e3)) = (e1)) ### Trans 419 334 % 26.04/26.25 421. ((op (op (op (e1) (e3)) (e1)) (e1)) != (op (e6) (e1))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) = (e6)) ### NotEqual 420 305 % 26.04/26.25 422. ((op (op (op (e1) (e3)) (e1)) (e1)) != (e3)) ((op (e6) (e1)) = (e3)) ((op (e1) (e1)) = (e6)) ((op (e1) (e3)) = (e1)) ### Trans 421 322 % 26.04/26.25 423. ((op (e2) (e3)) = (e6)) ((op (e2) (e3)) != (e6)) ### Axiom % 26.04/26.25 424. ((op (op (e2) (e3)) (e2)) != (op (e6) (e2))) ((op (e2) (e3)) = (e6)) ### NotEqual 423 315 % 26.04/26.25 425. ((op (op (e2) (e3)) (e2)) != (e2)) ((op (e6) (e2)) = (e2)) ((op (e2) (e3)) = (e6)) ### Trans 424 315 % 26.04/26.25 426. ((op (op (op (e2) (e3)) (e2)) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) = (e6)) ((op (e6) (e2)) = (e2)) ### NotEqual 425 315 % 26.04/26.25 427. ((op (op (op (e2) (e3)) (e2)) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e6) (e2)) = (e2)) ((op (e2) (e3)) = (e6)) ### Trans 426 322 % 26.04/26.25 428. ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) != (e0)) ### Axiom % 26.04/26.25 429. ((op (op (e3) (e3)) (e3)) != (op (e0) (e3))) ((op (e3) (e3)) = (e0)) ### NotEqual 428 322 % 26.04/26.25 430. ((op (op (e3) (e3)) (e3)) != (e5)) ((op (e0) (e3)) = (e5)) ((op (e3) (e3)) = (e0)) ### Trans 429 5 % 26.04/26.25 431. ((op (op (op (e3) (e3)) (e3)) (e3)) != (op (e5) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) = (e5)) ### NotEqual 430 322 % 26.04/26.25 432. ((op (op (op (e3) (e3)) (e3)) (e3)) != (e3)) ((op (e5) (e3)) = (e3)) ((op (e0) (e3)) = (e5)) ((op (e3) (e3)) = (e0)) ### Trans 431 322 % 26.04/26.25 433. ((op (e4) (e3)) = (e2)) ((op (e4) (e3)) != (e2)) ### Axiom % 26.04/26.25 434. ((op (op (e4) (e3)) (e4)) != (op (e2) (e4))) ((op (e4) (e3)) = (e2)) ### NotEqual 433 317 % 26.04/26.25 435. ((op (op (e4) (e3)) (e4)) != (e0)) ((op (e2) (e4)) = (e0)) ((op (e4) (e3)) = (e2)) ### Trans 434 303 % 26.04/26.25 436. ((op (op (op (e4) (e3)) (e4)) (e4)) != (op (e0) (e4))) ((op (e4) (e3)) = (e2)) ((op (e2) (e4)) = (e0)) ### NotEqual 435 317 % 26.04/26.25 437. ((op (op (op (e4) (e3)) (e4)) (e4)) != (e3)) ((op (e0) (e4)) = (e3)) ((op (e2) (e4)) = (e0)) ((op (e4) (e3)) = (e2)) ### Trans 436 322 % 26.04/26.25 438. ((op (e5) (e3)) = (e3)) ((op (e5) (e3)) != (e3)) ### Axiom % 26.04/26.25 439. ((op (op (e5) (e3)) (e5)) != (op (e3) (e5))) ((op (e5) (e3)) = (e3)) ### NotEqual 438 5 % 26.04/26.25 440. ((op (op (e5) (e3)) (e5)) != (e3)) ((op (e3) (e5)) = (e3)) ((op (e5) (e3)) = (e3)) ### Trans 439 322 % 26.04/26.25 441. ((op (op (op (e5) (e3)) (e5)) (e5)) != (op (e3) (e5))) ((op (e5) (e3)) = (e3)) ((op (e3) (e5)) = (e3)) ### NotEqual 440 5 % 26.04/26.25 442. ((op (op (op (e5) (e3)) (e5)) (e5)) != (e3)) ((op (e3) (e5)) = (e3)) ((op (e5) (e3)) = (e3)) ### Trans 441 322 % 26.04/26.25 443. ((op (e6) (e3)) = (e4)) ((op (e6) (e3)) != (e4)) ### Axiom % 26.04/26.25 444. ((op (op (e6) (e3)) (e6)) != (op (e4) (e6))) ((op (e6) (e3)) = (e4)) ### NotEqual 443 334 % 26.04/26.25 445. ((op (op (e6) (e3)) (e6)) != (e1)) ((op (e4) (e6)) = (e1)) ((op (e6) (e3)) = (e4)) ### Trans 444 305 % 26.04/26.25 446. ((op (op (op (e6) (e3)) (e6)) (e6)) != (op (e1) (e6))) ((op (e6) (e3)) = (e4)) ((op (e4) (e6)) = (e1)) ### NotEqual 445 334 % 26.04/26.25 447. ((op (op (op (e6) (e3)) (e6)) (e6)) != (e3)) ((op (e1) (e6)) = (e3)) ((op (e4) (e6)) = (e1)) ((op (e6) (e3)) = (e4)) ### Trans 446 322 % 26.04/26.25 448. ((op (e0) (e4)) = (e3)) ((op (e0) (e4)) != (e3)) ### Axiom % 26.04/26.25 449. ((op (op (e0) (e4)) (e0)) != (op (e3) (e0))) ((op (e0) (e4)) = (e3)) ### NotEqual 448 303 % 26.04/26.25 450. ((op (op (e0) (e4)) (e0)) != (e5)) ((op (e3) (e0)) = (e5)) ((op (e0) (e4)) = (e3)) ### Trans 449 5 % 26.04/26.25 451. ((op (op (op (e0) (e4)) (e0)) (e0)) != (op (e5) (e0))) ((op (e0) (e4)) = (e3)) ((op (e3) (e0)) = (e5)) ### NotEqual 450 303 % 26.04/26.25 452. ((op (op (op (e0) (e4)) (e0)) (e0)) != (e4)) ((op (e5) (e0)) = (e4)) ((op (e3) (e0)) = (e5)) ((op (e0) (e4)) = (e3)) ### Trans 451 317 % 26.04/26.25 453. ((op (e1) (e4)) = (e5)) ((op (e1) (e4)) != (e5)) ### Axiom % 26.04/26.25 454. ((op (op (e1) (e4)) (e1)) != (op (e5) (e1))) ((op (e1) (e4)) = (e5)) ### NotEqual 453 305 % 26.04/26.25 455. ((op (op (e1) (e4)) (e1)) != (e2)) ((op (e5) (e1)) = (e2)) ((op (e1) (e4)) = (e5)) ### Trans 454 315 % 26.04/26.25 456. ((op (op (op (e1) (e4)) (e1)) (e1)) != (op (e2) (e1))) ((op (e1) (e4)) = (e5)) ((op (e5) (e1)) = (e2)) ### NotEqual 455 305 % 26.04/26.25 457. ((op (op (op (e1) (e4)) (e1)) (e1)) != (e4)) ((op (e2) (e1)) = (e4)) ((op (e5) (e1)) = (e2)) ((op (e1) (e4)) = (e5)) ### Trans 456 317 % 26.04/26.25 458. ((op (e2) (e4)) = (e0)) ((op (e2) (e4)) != (e0)) ### Axiom % 26.04/26.25 459. ((op (op (e2) (e4)) (e2)) != (op (e0) (e2))) ((op (e2) (e4)) = (e0)) ### NotEqual 458 315 % 26.04/26.25 460. ((op (op (e2) (e4)) (e2)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e2) (e4)) = (e0)) ### Trans 459 305 % 26.04/26.25 461. ((op (op (op (e2) (e4)) (e2)) (e2)) != (op (e1) (e2))) ((op (e2) (e4)) = (e0)) ((op (e0) (e2)) = (e1)) ### NotEqual 460 315 % 26.04/26.25 462. ((op (op (op (e2) (e4)) (e2)) (e2)) != (e4)) ((op (e1) (e2)) = (e4)) ((op (e0) (e2)) = (e1)) ((op (e2) (e4)) = (e0)) ### Trans 461 317 % 26.04/26.25 463. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom % 26.04/26.25 464. ((op (op (e3) (e4)) (e3)) != (op (e2) (e3))) ((op (e3) (e4)) = (e2)) ### NotEqual 463 322 % 26.04/26.25 465. ((op (op (e3) (e4)) (e3)) != (e6)) ((op (e2) (e3)) = (e6)) ((op (e3) (e4)) = (e2)) ### Trans 464 334 % 26.04/26.25 466. ((op (op (op (e3) (e4)) (e3)) (e3)) != (op (e6) (e3))) ((op (e3) (e4)) = (e2)) ((op (e2) (e3)) = (e6)) ### NotEqual 465 322 % 26.04/26.25 467. ((op (op (op (e3) (e4)) (e3)) (e3)) != (e4)) ((op (e6) (e3)) = (e4)) ((op (e2) (e3)) = (e6)) ((op (e3) (e4)) = (e2)) ### Trans 466 317 % 26.04/26.25 468. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom % 26.04/26.25 469. ((op (op (e4) (e4)) (e4)) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ### NotEqual 468 317 % 26.04/26.25 470. ((op (op (e4) (e4)) (e4)) != (e4)) ((op (e4) (e4)) = (e4)) ### Trans 469 317 % 26.04/26.25 471. ((op (op (op (e4) (e4)) (e4)) (e4)) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ### NotEqual 470 317 % 26.04/26.25 472. ((op (op (op (e4) (e4)) (e4)) (e4)) != (e4)) ((op (e4) (e4)) = (e4)) ### Trans 471 317 % 26.04/26.25 473. ((op (e5) (e4)) = (e6)) ((op (e5) (e4)) != (e6)) ### Axiom % 26.04/26.25 474. ((op (op (e5) (e4)) (e5)) != (op (e6) (e5))) ((op (e5) (e4)) = (e6)) ### NotEqual 473 5 % 26.04/26.25 475. ((op (op (e5) (e4)) (e5)) != (e0)) ((op (e6) (e5)) = (e0)) ((op (e5) (e4)) = (e6)) ### Trans 474 303 % 26.04/26.25 476. ((op (op (op (e5) (e4)) (e5)) (e5)) != (op (e0) (e5))) ((op (e5) (e4)) = (e6)) ((op (e6) (e5)) = (e0)) ### NotEqual 475 5 % 26.04/26.25 477. ((op (op (op (e5) (e4)) (e5)) (e5)) != (e4)) ((op (e0) (e5)) = (e4)) ((op (e6) (e5)) = (e0)) ((op (e5) (e4)) = (e6)) ### Trans 476 317 % 26.04/26.25 478. ((op (e6) (e4)) = (e1)) ((op (e6) (e4)) != (e1)) ### Axiom % 26.04/26.25 479. ((op (op (e6) (e4)) (e6)) != (op (e1) (e6))) ((op (e6) (e4)) = (e1)) ### NotEqual 478 334 % 26.04/26.25 480. ((op (op (e6) (e4)) (e6)) != (e3)) ((op (e1) (e6)) = (e3)) ((op (e6) (e4)) = (e1)) ### Trans 479 322 % 26.04/26.25 481. ((op (op (op (e6) (e4)) (e6)) (e6)) != (op (e3) (e6))) ((op (e6) (e4)) = (e1)) ((op (e1) (e6)) = (e3)) ### NotEqual 480 334 % 26.04/26.25 482. ((op (op (op (e6) (e4)) (e6)) (e6)) != (e4)) ((op (e3) (e6)) = (e4)) ((op (e1) (e6)) = (e3)) ((op (e6) (e4)) = (e1)) ### Trans 481 317 % 26.04/26.25 483. ((op (e0) (e5)) = (e4)) ((op (e0) (e5)) != (e4)) ### Axiom % 26.04/26.25 484. ((op (op (e0) (e5)) (e0)) != (op (e4) (e0))) ((op (e0) (e5)) = (e4)) ### NotEqual 483 303 % 26.04/26.25 485. ((op (op (e0) (e5)) (e0)) != (e3)) ((op (e4) (e0)) = (e3)) ((op (e0) (e5)) = (e4)) ### Trans 484 322 % 26.04/26.25 486. ((op (op (op (e0) (e5)) (e0)) (e0)) != (op (e3) (e0))) ((op (e0) (e5)) = (e4)) ((op (e4) (e0)) = (e3)) ### NotEqual 485 303 % 26.04/26.25 487. ((op (op (op (e0) (e5)) (e0)) (e0)) != (e5)) ((op (e3) (e0)) = (e5)) ((op (e4) (e0)) = (e3)) ((op (e0) (e5)) = (e4)) ### Trans 486 5 % 26.04/26.25 488. ((op (e1) (e5)) = (e2)) ((op (e1) (e5)) != (e2)) ### Axiom % 26.04/26.25 489. ((op (op (e1) (e5)) (e1)) != (op (e2) (e1))) ((op (e1) (e5)) = (e2)) ### NotEqual 488 305 % 26.04/26.25 490. ((op (op (e1) (e5)) (e1)) != (e4)) ((op (e2) (e1)) = (e4)) ((op (e1) (e5)) = (e2)) ### Trans 489 317 % 26.04/26.25 491. ((op (op (op (e1) (e5)) (e1)) (e1)) != (op (e4) (e1))) ((op (e1) (e5)) = (e2)) ((op (e2) (e1)) = (e4)) ### NotEqual 490 305 % 26.04/26.25 492. ((op (op (op (e1) (e5)) (e1)) (e1)) != (e5)) ((op (e4) (e1)) = (e5)) ((op (e2) (e1)) = (e4)) ((op (e1) (e5)) = (e2)) ### Trans 491 5 % 26.04/26.25 493. ((op (e2) (e5)) = (e5)) ((op (e2) (e5)) != (e5)) ### Axiom % 26.04/26.25 494. ((op (op (e2) (e5)) (e2)) != (op (e5) (e2))) ((op (e2) (e5)) = (e5)) ### NotEqual 493 315 % 26.04/26.25 495. ((op (op (e2) (e5)) (e2)) != (e5)) ((op (e5) (e2)) = (e5)) ((op (e2) (e5)) = (e5)) ### Trans 494 5 % 26.04/26.25 496. ((op (op (op (e2) (e5)) (e2)) (e2)) != (op (e5) (e2))) ((op (e2) (e5)) = (e5)) ((op (e5) (e2)) = (e5)) ### NotEqual 495 315 % 26.04/26.25 497. ((op (op (op (e2) (e5)) (e2)) (e2)) != (e5)) ((op (e5) (e2)) = (e5)) ((op (e2) (e5)) = (e5)) ### Trans 496 5 % 26.04/26.25 498. ((op (e3) (e5)) = (e3)) ((op (e3) (e5)) != (e3)) ### Axiom % 26.04/26.25 499. ((op (op (e3) (e5)) (e3)) != (op (e3) (e3))) ((op (e3) (e5)) = (e3)) ### NotEqual 498 322 % 26.04/26.25 500. ((op (op (e3) (e5)) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ((op (e3) (e5)) = (e3)) ### Trans 499 303 % 26.04/26.25 501. ((op (op (op (e3) (e5)) (e3)) (e3)) != (op (e0) (e3))) ((op (e3) (e5)) = (e3)) ((op (e3) (e3)) = (e0)) ### NotEqual 500 322 % 26.04/26.25 502. ((op (op (op (e3) (e5)) (e3)) (e3)) != (e5)) ((op (e0) (e3)) = (e5)) ((op (e3) (e3)) = (e0)) ((op (e3) (e5)) = (e3)) ### Trans 501 5 % 26.04/26.25 503. ((op (e4) (e5)) = (e6)) ((op (e4) (e5)) != (e6)) ### Axiom % 26.04/26.25 504. ((op (op (e4) (e5)) (e4)) != (op (e6) (e4))) ((op (e4) (e5)) = (e6)) ### NotEqual 503 317 % 26.04/26.25 505. ((op (op (e4) (e5)) (e4)) != (e1)) ((op (e6) (e4)) = (e1)) ((op (e4) (e5)) = (e6)) ### Trans 504 305 % 26.04/26.25 506. ((op (op (op (e4) (e5)) (e4)) (e4)) != (op (e1) (e4))) ((op (e4) (e5)) = (e6)) ((op (e6) (e4)) = (e1)) ### NotEqual 505 317 % 26.04/26.25 507. ((op (op (op (e4) (e5)) (e4)) (e4)) != (e5)) ((op (e1) (e4)) = (e5)) ((op (e6) (e4)) = (e1)) ((op (e4) (e5)) = (e6)) ### Trans 506 5 % 26.04/26.25 508. ((op (e5) (e5)) = (e1)) ((op (e5) (e5)) != (e1)) ### Axiom % 26.04/26.25 509. ((op (op (e5) (e5)) (e5)) != (op (e1) (e5))) ((op (e5) (e5)) = (e1)) ### NotEqual 508 5 % 26.04/26.25 510. ((op (op (e5) (e5)) (e5)) != (e2)) ((op (e1) (e5)) = (e2)) ((op (e5) (e5)) = (e1)) ### Trans 509 315 % 26.04/26.25 511. ((op (op (op (e5) (e5)) (e5)) (e5)) != (op (e2) (e5))) ((op (e5) (e5)) = (e1)) ((op (e1) (e5)) = (e2)) ### NotEqual 510 5 % 26.04/26.25 512. ((op (op (op (e5) (e5)) (e5)) (e5)) != (e5)) ((op (e2) (e5)) = (e5)) ((op (e1) (e5)) = (e2)) ((op (e5) (e5)) = (e1)) ### Trans 511 5 % 26.04/26.25 513. ((op (e6) (e5)) = (e0)) ((op (e6) (e5)) != (e0)) ### Axiom % 26.04/26.25 514. ((op (op (e6) (e5)) (e6)) != (op (e0) (e6))) ((op (e6) (e5)) = (e0)) ### NotEqual 513 334 % 26.04/26.25 515. ((op (op (e6) (e5)) (e6)) != (e6)) ((op (e0) (e6)) = (e6)) ((op (e6) (e5)) = (e0)) ### Trans 514 334 % 26.04/26.25 516. ((op (op (op (e6) (e5)) (e6)) (e6)) != (op (e6) (e6))) ((op (e6) (e5)) = (e0)) ((op (e0) (e6)) = (e6)) ### NotEqual 515 334 % 26.04/26.25 517. ((op (op (op (e6) (e5)) (e6)) (e6)) != (e5)) ((op (e6) (e6)) = (e5)) ((op (e0) (e6)) = (e6)) ((op (e6) (e5)) = (e0)) ### Trans 516 5 % 26.04/26.25 518. ((op (e0) (e6)) = (e6)) ((op (e0) (e6)) != (e6)) ### Axiom % 26.04/26.25 519. ((op (op (e0) (e6)) (e0)) != (op (e6) (e0))) ((op (e0) (e6)) = (e6)) ### NotEqual 518 303 % 26.04/26.25 520. ((op (op (e0) (e6)) (e0)) != (e6)) ((op (e6) (e0)) = (e6)) ((op (e0) (e6)) = (e6)) ### Trans 519 334 % 26.04/26.25 521. ((op (op (op (e0) (e6)) (e0)) (e0)) != (op (e6) (e0))) ((op (e0) (e6)) = (e6)) ((op (e6) (e0)) = (e6)) ### NotEqual 520 303 % 26.04/26.25 522. ((op (op (op (e0) (e6)) (e0)) (e0)) != (e6)) ((op (e6) (e0)) = (e6)) ((op (e0) (e6)) = (e6)) ### Trans 521 334 % 26.04/26.25 523. ((op (e1) (e6)) = (e3)) ((op (e1) (e6)) != (e3)) ### Axiom % 26.04/26.25 524. ((op (op (e1) (e6)) (e1)) != (op (e3) (e1))) ((op (e1) (e6)) = (e3)) ### NotEqual 523 305 % 26.04/26.25 525. ((op (op (e1) (e6)) (e1)) != (e1)) ((op (e3) (e1)) = (e1)) ((op (e1) (e6)) = (e3)) ### Trans 524 305 % 26.04/26.25 526. ((op (op (op (e1) (e6)) (e1)) (e1)) != (op (e1) (e1))) ((op (e1) (e6)) = (e3)) ((op (e3) (e1)) = (e1)) ### NotEqual 525 305 % 26.04/26.25 527. ((op (op (op (e1) (e6)) (e1)) (e1)) != (e6)) ((op (e1) (e1)) = (e6)) ((op (e3) (e1)) = (e1)) ((op (e1) (e6)) = (e3)) ### Trans 526 334 % 26.04/26.25 528. ((op (e2) (e6)) = (e2)) ((op (e2) (e6)) != (e2)) ### Axiom % 26.04/26.25 529. ((op (op (e2) (e6)) (e2)) != (op (e2) (e2))) ((op (e2) (e6)) = (e2)) ### NotEqual 528 315 % 26.04/26.25 530. ((op (op (e2) (e6)) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e6)) = (e2)) ### Trans 529 322 % 26.04/26.25 531. ((op (op (op (e2) (e6)) (e2)) (e2)) != (op (e3) (e2))) ((op (e2) (e6)) = (e2)) ((op (e2) (e2)) = (e3)) ### NotEqual 530 315 % 26.04/26.25 532. ((op (op (op (e2) (e6)) (e2)) (e2)) != (e6)) ((op (e3) (e2)) = (e6)) ((op (e2) (e2)) = (e3)) ((op (e2) (e6)) = (e2)) ### Trans 531 334 % 26.04/26.25 533. ((op (e3) (e6)) = (e4)) ((op (e3) (e6)) != (e4)) ### Axiom % 26.04/26.25 534. ((op (op (e3) (e6)) (e3)) != (op (e4) (e3))) ((op (e3) (e6)) = (e4)) ### NotEqual 533 322 % 26.04/26.25 535. ((op (op (e3) (e6)) (e3)) != (e2)) ((op (e4) (e3)) = (e2)) ((op (e3) (e6)) = (e4)) ### Trans 534 315 % 26.04/26.25 536. ((op (op (op (e3) (e6)) (e3)) (e3)) != (op (e2) (e3))) ((op (e3) (e6)) = (e4)) ((op (e4) (e3)) = (e2)) ### NotEqual 535 322 % 26.04/26.25 537. ((op (op (op (e3) (e6)) (e3)) (e3)) != (e6)) ((op (e2) (e3)) = (e6)) ((op (e4) (e3)) = (e2)) ((op (e3) (e6)) = (e4)) ### Trans 536 334 % 26.04/26.25 538. ((op (e4) (e6)) = (e1)) ((op (e4) (e6)) != (e1)) ### Axiom % 26.04/26.25 539. ((op (op (e4) (e6)) (e4)) != (op (e1) (e4))) ((op (e4) (e6)) = (e1)) ### NotEqual 538 317 % 26.04/26.25 540. ((op (op (e4) (e6)) (e4)) != (e5)) ((op (e1) (e4)) = (e5)) ((op (e4) (e6)) = (e1)) ### Trans 539 5 % 26.04/26.25 541. ((op (op (op (e4) (e6)) (e4)) (e4)) != (op (e5) (e4))) ((op (e4) (e6)) = (e1)) ((op (e1) (e4)) = (e5)) ### NotEqual 540 317 % 26.04/26.25 542. ((op (op (op (e4) (e6)) (e4)) (e4)) != (e6)) ((op (e5) (e4)) = (e6)) ((op (e1) (e4)) = (e5)) ((op (e4) (e6)) = (e1)) ### Trans 541 334 % 26.04/26.25 543. ((op (e5) (e6)) = (e0)) ((op (e5) (e6)) != (e0)) ### Axiom % 26.04/26.25 544. ((op (op (e5) (e6)) (e5)) != (op (e0) (e5))) ((op (e5) (e6)) = (e0)) ### NotEqual 543 5 % 26.04/26.25 545. ((op (op (e5) (e6)) (e5)) != (e4)) ((op (e0) (e5)) = (e4)) ((op (e5) (e6)) = (e0)) ### Trans 544 317 % 26.04/26.25 546. ((op (op (op (e5) (e6)) (e5)) (e5)) != (op (e4) (e5))) ((op (e5) (e6)) = (e0)) ((op (e0) (e5)) = (e4)) ### NotEqual 545 5 % 26.04/26.25 547. ((op (op (op (e5) (e6)) (e5)) (e5)) != (e6)) ((op (e4) (e5)) = (e6)) ((op (e0) (e5)) = (e4)) ((op (e5) (e6)) = (e0)) ### Trans 546 334 % 26.04/26.25 548. ((op (e6) (e6)) = (e5)) ((op (e6) (e6)) != (e5)) ### Axiom % 26.04/26.25 549. ((op (op (e6) (e6)) (e6)) != (op (e5) (e6))) ((op (e6) (e6)) = (e5)) ### NotEqual 548 334 % 26.04/26.25 550. ((op (op (e6) (e6)) (e6)) != (e0)) ((op (e5) (e6)) = (e0)) ((op (e6) (e6)) = (e5)) ### Trans 549 303 % 26.04/26.25 551. ((op (op (op (e6) (e6)) (e6)) (e6)) != (op (e0) (e6))) ((op (e6) (e6)) = (e5)) ((op (e5) (e6)) = (e0)) ### NotEqual 550 334 % 26.04/26.25 552. ((op (op (op (e6) (e6)) (e6)) (e6)) != (e6)) ((op (e0) (e6)) = (e6)) ((op (e5) (e6)) = (e0)) ((op (e6) (e6)) = (e5)) ### Trans 551 334 % 26.04/26.25 553. (-. ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ (((op (e4) (e4)) = (e4)) \/ (((op (e5) (e5)) = (e5)) \/ ((op (e6) (e6)) = (e6)))))))) /\ ((((op (e0) (e0)) != (e0)) \/ (((op (e1) (e1)) != (e1)) \/ (((op (e2) (e2)) != (e2)) \/ (((op (e3) (e3)) != (e3)) \/ (((op (e4) (e4)) != (e4)) \/ (((op (e5) (e5)) != (e5)) \/ ((op (e6) (e6)) != (e6)))))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e0)) = (e5)) \/ ((op (e0) (e0)) = (e6)))))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e1)) = (e5)) \/ ((op (e0) (e1)) = (e6)))))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e2)) = (e5)) \/ ((op (e0) (e2)) = (e6)))))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ (((op (e0) (e3)) = (e4)) \/ (((op (e0) (e3)) = (e5)) \/ ((op (e0) (e3)) = (e6)))))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ (((op (e0) (e4)) = (e4)) \/ (((op (e0) (e4)) = (e5)) \/ ((op (e0) (e4)) = (e6)))))))) /\ ((((op (e0) (e5)) = (e0)) \/ (((op (e0) (e5)) = (e1)) \/ (((op (e0) (e5)) = (e2)) \/ (((op (e0) (e5)) = (e3)) \/ (((op (e0) (e5)) = (e4)) \/ (((op (e0) (e5)) = (e5)) \/ ((op (e0) (e5)) = (e6)))))))) /\ ((((op (e0) (e6)) = (e0)) \/ (((op (e0) (e6)) = (e1)) \/ (((op (e0) (e6)) = (e2)) \/ (((op (e0) (e6)) = (e3)) \/ (((op (e0) (e6)) = (e4)) \/ (((op (e0) (e6)) = (e5)) \/ ((op (e0) (e6)) = (e6)))))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e5)) \/ ((op (e1) (e0)) = (e6)))))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e5)) \/ ((op (e1) (e1)) = (e6)))))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e5)) \/ ((op (e1) (e2)) = (e6)))))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e5)) \/ ((op (e1) (e3)) = (e6)))))))) /\ ((((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e5)) \/ ((op (e1) (e4)) = (e6)))))))) /\ ((((op (e1) (e5)) = (e0)) \/ (((op (e1) (e5)) = (e1)) \/ (((op (e1) (e5)) = (e2)) \/ (((op (e1) (e5)) = (e3)) \/ (((op (e1) (e5)) = (e4)) \/ (((op (e1) (e5)) = (e5)) \/ ((op (e1) (e5)) = (e6)))))))) /\ ((((op (e1) (e6)) = (e0)) \/ (((op (e1) (e6)) = (e1)) \/ (((op (e1) (e6)) = (e2)) \/ (((op (e1) (e6)) = (e3)) \/ (((op (e1) (e6)) = (e4)) \/ (((op (e1) (e6)) = (e5)) \/ ((op (e1) (e6)) = (e6)))))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e5)) \/ ((op (e2) (e0)) = (e6)))))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e5)) \/ ((op (e2) (e1)) = (e6)))))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e5)) \/ ((op (e2) (e2)) = (e6)))))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e4)) \/ (((op 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69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 101 103 105 107 109 111 113 115 117 119 121 123 125 127 129 131 133 135 137 139 141 143 145 147 149 151 153 155 157 159 161 163 165 167 169 171 173 175 177 179 181 183 185 187 189 191 193 195 197 199 201 203 205 207 209 211 213 215 217 219 221 223 225 227 229 231 233 235 237 239 241 243 245 247 249 251 253 255 257 259 261 263 265 267 269 271 273 275 277 279 281 283 285 287 289 291 293 295 297 299 301 308 313 320 326 331 337 342 347 352 357 362 367 372 377 382 387 392 397 402 407 412 417 422 427 432 437 442 447 452 457 462 467 472 477 482 487 492 497 502 507 512 517 522 527 532 537 542 547 552 % 26.04/26.25 554. 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(((op (e4) (e4)) = (e5)) \/ (((op (e5) (e4)) = (e5)) \/ ((op (e6) (e4)) = (e5)))))))) /\ ((((op (e4) (e0)) = (e6)) \/ (((op (e4) (e1)) = (e6)) \/ (((op (e4) (e2)) = (e6)) \/ (((op (e4) (e3)) = (e6)) \/ (((op (e4) (e4)) = (e6)) \/ (((op (e4) (e5)) = (e6)) \/ ((op (e4) (e6)) = (e6)))))))) /\ ((((op (e0) (e4)) = (e6)) \/ (((op (e1) (e4)) = (e6)) \/ (((op (e2) (e4)) = (e6)) \/ (((op (e3) (e4)) = (e6)) \/ (((op (e4) (e4)) = (e6)) \/ (((op (e5) (e4)) = (e6)) \/ ((op (e6) (e4)) = (e6)))))))) /\ ((((op (e5) (e0)) = (e0)) \/ (((op (e5) (e1)) = (e0)) \/ (((op (e5) (e2)) = (e0)) \/ (((op (e5) (e3)) = (e0)) \/ (((op (e5) (e4)) = (e0)) \/ (((op (e5) (e5)) = (e0)) \/ ((op (e5) (e6)) = (e0)))))))) /\ ((((op (e0) (e5)) = (e0)) \/ (((op (e1) (e5)) = (e0)) \/ (((op (e2) (e5)) = (e0)) \/ (((op (e3) (e5)) = (e0)) \/ (((op (e4) (e5)) = (e0)) \/ (((op (e5) (e5)) = (e0)) \/ ((op (e6) (e5)) = (e0)))))))) /\ ((((op (e5) (e0)) = (e1)) \/ (((op (e5) (e1)) = (e1)) \/ (((op (e5) (e2)) = (e1)) \/ (((op (e5) (e3)) = (e1)) \/ (((op (e5) (e4)) = (e1)) \/ (((op (e5) (e5)) = (e1)) \/ ((op (e5) (e6)) = (e1)))))))) /\ ((((op (e0) (e5)) = (e1)) \/ (((op (e1) (e5)) = (e1)) \/ (((op (e2) (e5)) = (e1)) \/ (((op (e3) (e5)) = (e1)) \/ (((op (e4) (e5)) = (e1)) \/ (((op (e5) (e5)) = (e1)) \/ ((op (e6) (e5)) = (e1)))))))) /\ ((((op (e5) (e0)) = (e2)) \/ (((op (e5) (e1)) = (e2)) \/ (((op (e5) (e2)) = (e2)) \/ (((op (e5) (e3)) = (e2)) \/ (((op (e5) (e4)) = (e2)) \/ (((op (e5) (e5)) = (e2)) \/ ((op (e5) (e6)) = (e2)))))))) /\ ((((op (e0) (e5)) = (e2)) \/ (((op (e1) (e5)) = (e2)) \/ (((op (e2) (e5)) = (e2)) \/ (((op (e3) (e5)) = (e2)) \/ (((op (e4) (e5)) = (e2)) \/ (((op (e5) (e5)) = (e2)) \/ ((op (e6) (e5)) = (e2)))))))) /\ ((((op (e5) (e0)) = (e3)) \/ (((op (e5) (e1)) = (e3)) \/ (((op (e5) (e2)) = (e3)) \/ (((op (e5) (e3)) = (e3)) \/ (((op (e5) (e4)) = (e3)) \/ (((op (e5) (e5)) = (e3)) \/ ((op (e5) (e6)) = (e3)))))))) /\ ((((op (e0) (e5)) = (e3)) \/ (((op (e1) (e5)) = (e3)) \/ (((op (e2) (e5)) = (e3)) \/ (((op 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\/ (((op (e5) (e3)) = (e6)) \/ (((op (e5) (e4)) = (e6)) \/ (((op (e5) (e5)) = (e6)) \/ ((op (e5) (e6)) = (e6)))))))) /\ ((((op (e0) (e5)) = (e6)) \/ (((op (e1) (e5)) = (e6)) \/ (((op (e2) (e5)) = (e6)) \/ (((op (e3) (e5)) = (e6)) \/ (((op (e4) (e5)) = (e6)) \/ (((op (e5) (e5)) = (e6)) \/ ((op (e6) (e5)) = (e6)))))))) /\ ((((op (e6) (e0)) = (e0)) \/ (((op (e6) (e1)) = (e0)) \/ (((op (e6) (e2)) = (e0)) \/ (((op (e6) (e3)) = (e0)) \/ (((op (e6) (e4)) = (e0)) \/ (((op (e6) (e5)) = (e0)) \/ ((op (e6) (e6)) = (e0)))))))) /\ ((((op (e0) (e6)) = (e0)) \/ (((op (e1) (e6)) = (e0)) \/ (((op (e2) (e6)) = (e0)) \/ (((op (e3) (e6)) = (e0)) \/ (((op (e4) (e6)) = (e0)) \/ (((op (e5) (e6)) = (e0)) \/ ((op (e6) (e6)) = (e0)))))))) /\ ((((op (e6) (e0)) = (e1)) \/ (((op (e6) (e1)) = (e1)) \/ (((op (e6) (e2)) = (e1)) \/ (((op (e6) (e3)) = (e1)) \/ (((op (e6) (e4)) = (e1)) \/ (((op (e6) (e5)) = (e1)) \/ ((op (e6) (e6)) = (e1)))))))) /\ ((((op (e0) (e6)) = (e1)) \/ (((op (e1) (e6)) = (e1)) \/ (((op (e2) 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(((op (e6) (e2)) = (e4)) \/ (((op (e6) (e3)) = (e4)) \/ (((op (e6) (e4)) = (e4)) \/ (((op (e6) (e5)) = (e4)) \/ ((op (e6) (e6)) = (e4)))))))) /\ ((((op (e0) (e6)) = (e4)) \/ (((op (e1) (e6)) = (e4)) \/ (((op (e2) (e6)) = (e4)) \/ (((op (e3) (e6)) = (e4)) \/ (((op (e4) (e6)) = (e4)) \/ (((op (e5) (e6)) = (e4)) \/ ((op (e6) (e6)) = (e4)))))))) /\ ((((op (e6) (e0)) = (e5)) \/ (((op (e6) (e1)) = (e5)) \/ (((op (e6) (e2)) = (e5)) \/ (((op (e6) (e3)) = (e5)) \/ (((op (e6) (e4)) = (e5)) \/ (((op (e6) (e5)) = (e5)) \/ ((op (e6) (e6)) = (e5)))))))) /\ ((((op (e0) (e6)) = (e5)) \/ (((op (e1) (e6)) = (e5)) \/ (((op (e2) (e6)) = (e5)) \/ (((op (e3) (e6)) = (e5)) \/ (((op (e4) (e6)) = (e5)) \/ (((op (e5) (e6)) = (e5)) \/ ((op (e6) (e6)) = (e5)))))))) /\ ((((op (e6) (e0)) = (e6)) \/ (((op (e6) (e1)) = (e6)) \/ (((op (e6) (e2)) = (e6)) \/ (((op (e6) (e3)) = (e6)) \/ (((op (e6) (e4)) = (e6)) \/ (((op (e6) (e5)) = (e6)) \/ ((op (e6) (e6)) = (e6)))))))) /\ ((((op (e0) (e6)) = (e6)) \/ (((op (e1) (e6)) = 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(e3)) = (e2)) /\ (((op (op (op (e4) (e2)) (e4)) (e4)) = (e2)) /\ (((op (op (op (e5) (e2)) (e5)) (e5)) = (e2)) /\ (((op (op (op (e6) (e2)) (e6)) (e6)) = (e2)) /\ (((op (op (op (e0) (e3)) (e0)) (e0)) = (e3)) /\ (((op (op (op (e1) (e3)) (e1)) (e1)) = (e3)) /\ (((op (op (op (e2) (e3)) (e2)) (e2)) = (e3)) /\ (((op (op (op (e3) (e3)) (e3)) (e3)) = (e3)) /\ (((op (op (op (e4) (e3)) (e4)) (e4)) = (e3)) /\ (((op (op (op (e5) (e3)) (e5)) (e5)) = (e3)) /\ (((op (op (op (e6) (e3)) (e6)) (e6)) = (e3)) /\ (((op (op (op (e0) (e4)) (e0)) (e0)) = (e4)) /\ (((op (op (op (e1) (e4)) (e1)) (e1)) = (e4)) /\ (((op (op (op (e2) (e4)) (e2)) (e2)) = (e4)) /\ (((op (op (op (e3) (e4)) (e3)) (e3)) = (e4)) /\ (((op (op (op (e4) (e4)) (e4)) (e4)) = (e4)) /\ (((op (op (op (e5) (e4)) (e5)) (e5)) = (e4)) /\ (((op (op (op (e6) (e4)) (e6)) (e6)) = (e4)) /\ (((op (op (op (e0) (e5)) (e0)) (e0)) = (e5)) /\ (((op (op (op (e1) (e5)) (e1)) (e1)) = (e5)) /\ (((op (op (op (e2) (e5)) (e2)) (e2)) = (e5)) /\ (((op (op (op (e3) (e5)) (e3)) (e3)) = (e5)) /\ (((op (op (op (e4) (e5)) (e4)) (e4)) = (e5)) /\ (((op (op (op (e5) (e5)) (e5)) (e5)) = (e5)) /\ (((op (op (op (e6) (e5)) (e6)) (e6)) = (e5)) /\ (((op (op (op (e0) (e6)) (e0)) (e0)) = (e6)) /\ (((op (op (op (e1) (e6)) (e1)) (e1)) = (e6)) /\ (((op (op (op (e2) (e6)) (e2)) (e2)) = (e6)) /\ (((op (op (op (e3) (e6)) (e3)) (e3)) = (e6)) /\ (((op (op (op (e4) (e6)) (e4)) (e4)) = (e6)) /\ (((op (op (op (e5) (e6)) (e5)) (e5)) = (e6)) /\ ((op (op (op (e6) (e6)) (e6)) (e6)) = (e6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 553 % 26.04/26.26 555. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e0) != (e5)) /\ (((e0) != (e6)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e1) != (e5)) /\ (((e1) != (e6)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ (((e2) != (e5)) /\ (((e2) != (e6)) /\ (((e3) != (e4)) /\ (((e3) != (e5)) /\ (((e3) != (e6)) /\ (((e4) != (e5)) /\ (((e4) != (e6)) /\ ((e5) != (e6)))))))))))))))))))))) (-. 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(e1)) \/ (((op (e5) (e4)) = (e1)) \/ (((op (e5) (e5)) = (e1)) \/ ((op (e5) (e6)) = (e1)))))))) /\ ((((op (e0) (e5)) = (e1)) \/ (((op (e1) (e5)) = (e1)) \/ (((op (e2) (e5)) = (e1)) \/ (((op (e3) (e5)) = (e1)) \/ (((op (e4) (e5)) = (e1)) \/ (((op (e5) (e5)) = (e1)) \/ ((op (e6) (e5)) = (e1)))))))) /\ ((((op (e5) (e0)) = (e2)) \/ (((op (e5) (e1)) = (e2)) \/ (((op (e5) (e2)) = (e2)) \/ (((op (e5) (e3)) = (e2)) \/ (((op (e5) (e4)) = (e2)) \/ (((op (e5) (e5)) = (e2)) \/ ((op (e5) (e6)) = (e2)))))))) /\ ((((op (e0) (e5)) = (e2)) \/ (((op (e1) (e5)) = (e2)) \/ (((op (e2) (e5)) = (e2)) \/ (((op (e3) (e5)) = (e2)) \/ (((op (e4) (e5)) = (e2)) \/ (((op (e5) (e5)) = (e2)) \/ ((op (e6) (e5)) = (e2)))))))) /\ ((((op (e5) (e0)) = (e3)) \/ (((op (e5) (e1)) = (e3)) \/ (((op (e5) (e2)) = (e3)) \/ (((op (e5) (e3)) = (e3)) \/ (((op (e5) (e4)) = (e3)) \/ (((op (e5) (e5)) = (e3)) \/ ((op (e5) (e6)) = (e3)))))))) /\ ((((op (e0) (e5)) = (e3)) \/ (((op (e1) (e5)) = (e3)) \/ (((op (e2) (e5)) = (e3)) \/ (((op 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(e5)) (e3)) (e3)) = (e5)) /\ (((op (op (op (e4) (e5)) (e4)) (e4)) = (e5)) /\ (((op (op (op (e5) (e5)) (e5)) (e5)) = (e5)) /\ (((op (op (op (e6) (e5)) (e6)) (e6)) = (e5)) /\ (((op (op (op (e0) (e6)) (e0)) (e0)) = (e6)) /\ (((op (op (op (e1) (e6)) (e1)) (e1)) = (e6)) /\ (((op (op (op (e2) (e6)) (e2)) (e2)) = (e6)) /\ (((op (op (op (e3) (e6)) (e3)) (e3)) = (e6)) /\ (((op (op (op (e4) (e6)) (e4)) (e4)) = (e6)) /\ (((op (op (op (e5) (e6)) (e5)) (e5)) = (e6)) /\ ((op (op (op (e6) (e6)) (e6)) (e6)) = (e6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e2)) /\ (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e2)) = (e1)) /\ (((op (e0) (e3)) = (e5)) /\ (((op (e0) (e4)) = (e3)) /\ (((op (e0) (e5)) = (e4)) /\ (((op (e0) (e6)) = (e6)) /\ (((op (e1) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e6)) /\ (((op (e1) (e2)) = (e4)) /\ (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e4)) = (e5)) /\ (((op (e1) (e5)) = (e2)) /\ (((op (e1) (e6)) = (e3)) /\ (((op (e2) (e0)) = (e1)) /\ (((op (e2) (e1)) = (e4)) /\ (((op (e2) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e6)) /\ (((op (e2) (e4)) = (e0)) /\ (((op (e2) (e5)) = (e5)) /\ (((op (e2) (e6)) = (e2)) /\ (((op (e3) (e0)) = (e5)) /\ (((op (e3) (e1)) = (e1)) /\ (((op (e3) (e2)) = (e6)) /\ (((op (e3) (e3)) = (e0)) /\ (((op (e3) (e4)) = (e2)) /\ (((op (e3) (e5)) = (e3)) /\ (((op (e3) (e6)) = (e4)) /\ (((op (e4) (e0)) = (e3)) /\ (((op (e4) (e1)) = (e5)) /\ (((op (e4) (e2)) = (e0)) /\ (((op (e4) (e3)) = (e2)) /\ (((op (e4) (e4)) = (e4)) /\ (((op (e4) (e5)) = (e6)) /\ (((op (e4) (e6)) = (e1)) /\ (((op (e5) (e0)) = (e4)) /\ (((op (e5) (e1)) = (e2)) /\ (((op (e5) (e2)) = (e5)) /\ (((op (e5) (e3)) = (e3)) /\ (((op (e5) (e4)) = (e6)) /\ (((op (e5) (e5)) = (e1)) /\ (((op (e5) (e6)) = (e0)) /\ (((op (e6) (e0)) = (e6)) /\ (((op (e6) (e1)) = (e3)) /\ (((op (e6) (e2)) = (e2)) /\ (((op (e6) (e3)) = (e4)) /\ (((op (e6) (e4)) = (e1)) /\ (((op (e6) (e5)) = (e0)) /\ ((op (e6) (e6)) = (e5)))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 554 % 26.04/26.26 % SZS output end Proof % 26.04/26.26 (* END-PROOF *) %------------------------------------------------------------------------------