%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ALG032+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 : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:04:50 EDT 2022 % Result : Theorem 50.08s 50.30s % Output : Proof 50.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : ALG032+1 : TPTP v8.1.0. Released v2.7.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n023.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 8 08:55:38 EDT 2022 % 0.13/0.34 % CPUTime : % 50.08/50.30 % SZS status Theorem % 50.08/50.30 (* PROOF-FOUND *) % 50.08/50.30 (* BEGIN-PROOF *) % 50.08/50.30 % SZS output start Proof % 50.08/50.30 1. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=) % 50.08/50.30 2. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=) % 50.08/50.30 3. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=) % 50.08/50.30 4. ((op (e0) (e1)) != (op (e1) (e0))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ### Trans 2 3 % 50.08/50.30 5. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=) % 50.08/50.30 6. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=) % 50.08/50.30 7. ((op (e0) (e2)) != (op (e2) (e0))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) = (e2)) ### Trans 5 6 % 50.08/50.30 8. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=) % 50.08/50.30 9. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=) % 50.08/50.30 10. ((op (e0) (e3)) != (op (e3) (e0))) ((op (e0) (e3)) = (e3)) ((op (e3) (e0)) = (e3)) ### Trans 8 9 % 50.08/50.30 11. ((op (e0) (e4)) != (op (e0) (e4))) ### Refl(=) % 50.08/50.30 12. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=) % 50.08/50.30 13. ((op (e0) (e4)) != (op (e4) (e0))) ((op (e0) (e4)) = (e4)) ((op (e4) (e0)) = (e4)) ### Trans 11 12 % 50.08/50.30 14. ((op (e0) (e5)) != (op (e0) (e5))) ### Refl(=) % 50.08/50.30 15. ((op (e5) (e0)) = (e5)) ((e5) != (op (e5) (e0))) ### Sym(=) % 50.08/50.30 16. ((op (e0) (e5)) != (op (e5) (e0))) ((op (e0) (e5)) = (e5)) ((op (e5) (e0)) = (e5)) ### Trans 14 15 % 50.08/50.30 17. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=) % 50.08/50.30 18. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 50.08/50.30 19. ((op (e1) (e0)) != (op (e0) (e1))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) = (e1)) ### Trans 17 18 % 50.08/50.30 20. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=) % 50.08/50.30 21. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=) % 50.08/50.30 22. ((op (e2) (e1)) = (e4)) ((e4) != (op (e2) (e1))) ### Sym(=) % 50.08/50.30 23. ((op (e1) (e2)) != (op (e2) (e1))) ((op (e1) (e2)) = (e4)) ((op (e2) (e1)) = (e4)) ### Trans 21 22 % 50.08/50.30 24. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=) % 50.08/50.30 25. ((op (e3) (e1)) = (e5)) ((e5) != (op (e3) (e1))) ### Sym(=) % 50.08/50.30 26. ((op (e1) (e3)) != (op (e3) (e1))) ((op (e1) (e3)) = (e5)) ((op (e3) (e1)) = (e5)) ### Trans 24 25 % 50.08/50.30 27. ((op (e1) (e4)) != (op (e1) (e4))) ### Refl(=) % 50.08/50.30 28. ((op (e4) (e1)) = (e2)) ((e2) != (op (e4) (e1))) ### Sym(=) % 50.08/50.30 29. ((op (e1) (e4)) != (op (e4) (e1))) ((op (e1) (e4)) = (e2)) ((op (e4) (e1)) = (e2)) ### Trans 27 28 % 50.08/50.30 30. ((op (e1) (e5)) != (op (e1) (e5))) ### Refl(=) % 50.08/50.30 31. ((op (e5) (e1)) = (e3)) ((e3) != (op (e5) (e1))) ### Sym(=) % 50.08/50.30 32. ((op (e1) (e5)) != (op (e5) (e1))) ((op (e1) (e5)) = (e3)) ((op (e5) (e1)) = (e3)) ### Trans 30 31 % 50.08/50.30 33. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=) % 50.08/50.30 34. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 50.08/50.30 35. ((op (e2) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) = (e2)) ### Trans 33 34 % 50.08/50.30 36. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=) % 50.08/50.30 37. ((op (e1) (e2)) = (e4)) ((e4) != (op (e1) (e2))) ### Sym(=) % 50.08/50.30 38. ((op (e2) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) = (e4)) ((op (e1) (e2)) = (e4)) ### Trans 36 37 % 50.08/50.30 39. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=) % 50.08/50.30 40. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=) % 50.08/50.30 41. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=) % 50.08/50.30 42. ((op (e2) (e3)) != (op (e3) (e2))) ((op (e2) (e3)) = (e0)) ((op (e3) (e2)) = (e0)) ### Trans 40 41 % 50.08/50.30 43. ((op (e2) (e4)) != (op (e2) (e4))) ### Refl(=) % 50.08/50.30 44. ((op (e4) (e2)) = (e5)) ((e5) != (op (e4) (e2))) ### Sym(=) % 50.08/50.30 45. ((op (e2) (e4)) != (op (e4) (e2))) ((op (e2) (e4)) = (e5)) ((op (e4) (e2)) = (e5)) ### Trans 43 44 % 50.08/50.30 46. ((op (e2) (e5)) != (op (e2) (e5))) ### Refl(=) % 50.08/50.30 47. ((op (e5) (e2)) = (e1)) ((e1) != (op (e5) (e2))) ### Sym(=) % 50.08/50.30 48. ((op (e2) (e5)) != (op (e5) (e2))) ((op (e2) (e5)) = (e1)) ((op (e5) (e2)) = (e1)) ### Trans 46 47 % 50.08/50.30 49. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=) % 50.08/50.30 50. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 50.08/50.30 51. ((op (e3) (e0)) != (op (e0) (e3))) ((op (e3) (e0)) = (e3)) ((op (e0) (e3)) = (e3)) ### Trans 49 50 % 50.08/50.30 52. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=) % 50.08/50.30 53. ((op (e1) (e3)) = (e5)) ((e5) != (op (e1) (e3))) ### Sym(=) % 50.08/50.30 54. ((op (e3) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) = (e5)) ((op (e1) (e3)) = (e5)) ### Trans 52 53 % 50.08/50.30 55. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=) % 50.08/50.30 56. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=) % 50.08/50.30 57. ((op (e3) (e2)) != (op (e2) (e3))) ((op (e3) (e2)) = (e0)) ((op (e2) (e3)) = (e0)) ### Trans 55 56 % 50.08/50.30 58. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=) % 50.08/50.30 59. ((op (e3) (e4)) != (op (e3) (e4))) ### Refl(=) % 50.08/50.30 60. ((op (e4) (e3)) = (e1)) ((e1) != (op (e4) (e3))) ### Sym(=) % 50.08/50.30 61. ((op (e3) (e4)) != (op (e4) (e3))) ((op (e3) (e4)) = (e1)) ((op (e4) (e3)) = (e1)) ### Trans 59 60 % 50.08/50.30 62. ((op (e3) (e5)) != (op (e3) (e5))) ### Refl(=) % 50.08/50.30 63. ((op (e5) (e3)) = (e4)) ((e4) != (op (e5) (e3))) ### Sym(=) % 50.08/50.30 64. ((op (e3) (e5)) != (op (e5) (e3))) ((op (e3) (e5)) = (e4)) ((op (e5) (e3)) = (e4)) ### Trans 62 63 % 50.08/50.30 65. ((op (e4) (e0)) != (op (e4) (e0))) ### Refl(=) % 50.08/50.30 66. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 50.08/50.30 67. ((op (e4) (e0)) != (op (e0) (e4))) ((op (e4) (e0)) = (e4)) ((op (e0) (e4)) = (e4)) ### Trans 65 66 % 50.08/50.30 68. ((op (e4) (e1)) != (op (e4) (e1))) ### Refl(=) % 50.08/50.30 69. ((op (e1) (e4)) = (e2)) ((e2) != (op (e1) (e4))) ### Sym(=) % 50.08/50.30 70. ((op (e4) (e1)) != (op (e1) (e4))) ((op (e4) (e1)) = (e2)) ((op (e1) (e4)) = (e2)) ### Trans 68 69 % 50.08/50.30 71. ((op (e4) (e2)) != (op (e4) (e2))) ### Refl(=) % 50.08/50.30 72. ((op (e2) (e4)) = (e5)) ((e5) != (op (e2) (e4))) ### Sym(=) % 50.08/50.30 73. ((op (e4) (e2)) != (op (e2) (e4))) ((op (e4) (e2)) = (e5)) ((op (e2) (e4)) = (e5)) ### Trans 71 72 % 50.08/50.30 74. ((op (e4) (e3)) != (op (e4) (e3))) ### Refl(=) % 50.08/50.30 75. ((op (e3) (e4)) = (e1)) ((e1) != (op (e3) (e4))) ### Sym(=) % 50.08/50.30 76. ((op (e4) (e3)) != (op (e3) (e4))) ((op (e4) (e3)) = (e1)) ((op (e3) (e4)) = (e1)) ### Trans 74 75 % 50.08/50.30 77. ((op (e4) (e4)) != (op (e4) (e4))) ### Refl(=) % 50.08/50.30 78. ((op (e4) (e5)) != (op (e4) (e5))) ### Refl(=) % 50.08/50.30 79. ((op (e5) (e4)) = (e0)) ((e0) != (op (e5) (e4))) ### Sym(=) % 50.08/50.30 80. ((op (e4) (e5)) != (op (e5) (e4))) ((op (e4) (e5)) = (e0)) ((op (e5) (e4)) = (e0)) ### Trans 78 79 % 50.08/50.30 81. ((op (e5) (e0)) != (op (e5) (e0))) ### Refl(=) % 50.08/50.30 82. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 50.08/50.30 83. ((op (e5) (e0)) != (op (e0) (e5))) ((op (e5) (e0)) = (e5)) ((op (e0) (e5)) = (e5)) ### Trans 81 82 % 50.08/50.30 84. ((op (e5) (e1)) != (op (e5) (e1))) ### Refl(=) % 50.08/50.30 85. ((op (e1) (e5)) = (e3)) ((e3) != (op (e1) (e5))) ### Sym(=) % 50.08/50.30 86. ((op (e5) (e1)) != (op (e1) (e5))) ((op (e5) (e1)) = (e3)) ((op (e1) (e5)) = (e3)) ### Trans 84 85 % 50.08/50.30 87. ((op (e5) (e2)) != (op (e5) (e2))) ### Refl(=) % 50.08/50.30 88. ((op (e2) (e5)) = (e1)) ((e1) != (op (e2) (e5))) ### Sym(=) % 50.08/50.30 89. ((op (e5) (e2)) != (op (e2) (e5))) ((op (e5) (e2)) = (e1)) ((op (e2) (e5)) = (e1)) ### Trans 87 88 % 50.08/50.30 90. ((op (e5) (e3)) != (op (e5) (e3))) ### Refl(=) % 50.08/50.30 91. ((op (e3) (e5)) = (e4)) ((e4) != (op (e3) (e5))) ### Sym(=) % 50.08/50.30 92. ((op (e5) (e3)) != (op (e3) (e5))) ((op (e5) (e3)) = (e4)) ((op (e3) (e5)) = (e4)) ### Trans 90 91 % 50.08/50.30 93. ((op (e5) (e4)) != (op (e5) (e4))) ### Refl(=) % 50.08/50.30 94. ((op (e4) (e5)) = (e0)) ((e0) != (op (e4) (e5))) ### Sym(=) % 50.08/50.30 95. ((op (e5) (e4)) != (op (e4) (e5))) ((op (e5) (e4)) = (e0)) ((op (e4) (e5)) = (e0)) ### Trans 93 94 % 50.08/50.30 96. ((op (e5) (e5)) != (op (e5) (e5))) ### Refl(=) % 50.08/50.30 97. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 50.08/50.30 98. (-. (((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)) = (e0)) ### ConjTree 97 % 50.08/50.30 99. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 50.08/50.30 100. (-. (((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)) = (e1)) ### ConjTree 99 % 50.08/50.30 101. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 50.08/50.30 102. (-. (((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)) = (e2)) ### ConjTree 101 % 50.08/50.30 103. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 50.08/50.30 104. (-. (((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)) = (e3)) ### ConjTree 103 % 50.08/50.30 105. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 50.08/50.30 106. (-. (((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)) = (e4)) ### ConjTree 105 % 50.08/50.30 107. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 50.08/50.30 108. (-. (((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)) = (e5)) ### ConjTree 107 % 50.08/50.30 109. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 110. (-. (((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)) = (e1)) ### ConjTree 109 % 50.08/50.30 111. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 112. (-. (((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)) = (e0)) ### ConjTree 111 % 50.08/50.30 113. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 114. (-. (((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)) = (e4)) ### ConjTree 113 % 50.08/50.30 115. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 116. (-. (((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)) = (e5)) ### ConjTree 115 % 50.08/50.30 117. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 118. (-. (((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)) = (e2)) ### ConjTree 117 % 50.08/50.30 119. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 120. (-. (((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)) = (e3)) ### ConjTree 119 % 50.08/50.30 121. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 122. (-. (((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)) = (e2)) ### ConjTree 121 % 50.08/50.30 123. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 124. (-. (((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)) = (e4)) ### ConjTree 123 % 50.08/50.30 125. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 126. (-. (((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)) = (e3)) ### ConjTree 125 % 50.08/50.30 127. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 128. (-. (((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)) = (e0)) ### ConjTree 127 % 50.08/50.30 129. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 130. (-. (((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)) = (e5)) ### ConjTree 129 % 50.08/50.30 131. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 132. (-. (((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)) = (e1)) ### ConjTree 131 % 50.08/50.30 133. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 134. (-. (((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)) = (e3)) ### ConjTree 133 % 50.08/50.30 135. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 136. (-. (((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)) = (e5)) ### ConjTree 135 % 50.08/50.30 137. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 138. (-. (((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)) = (e0)) ### ConjTree 137 % 50.08/50.30 139. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 140. (-. (((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)) = (e2)) ### ConjTree 139 % 50.08/50.30 141. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 142. (-. (((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)) = (e1)) ### ConjTree 141 % 50.08/50.30 143. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 144. (-. (((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)) = (e4)) ### ConjTree 143 % 50.08/50.30 145. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 146. (-. (((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)) = (e4)) ### ConjTree 145 % 50.08/50.30 147. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.08/50.30 148. (-. (((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)) = (e2)) ### ConjTree 147 % 50.08/50.30 149. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.08/50.30 150. (-. (((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)) = (e5)) ### ConjTree 149 % 50.08/50.30 151. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.08/50.30 152. (-. (((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)) = (e1)) ### ConjTree 151 % 50.08/50.30 153. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.08/50.30 154. (-. (((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)) = (e3)) ### ConjTree 153 % 50.08/50.30 155. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.08/50.30 156. (-. (((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)) = (e0)) ### ConjTree 155 % 50.08/50.30 157. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.08/50.30 158. (-. (((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)) = (e5)) ### ConjTree 157 % 50.08/50.30 159. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.08/50.30 160. (-. (((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)) = (e3)) ### ConjTree 159 % 50.08/50.30 161. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.08/50.30 162. (-. (((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)) = (e1)) ### ConjTree 161 % 50.08/50.30 163. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.08/50.30 164. (-. (((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)) = (e4)) ### ConjTree 163 % 50.08/50.30 165. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.08/50.30 166. (-. (((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)) = (e0)) ### ConjTree 165 % 50.08/50.30 167. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.08/50.30 168. (-. (((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)) = (e2)) ### ConjTree 167 % 50.08/50.30 169. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 50.08/50.30 170. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 50.08/50.30 171. ((op (op (e0) (e0)) (e0)) != (op (e0) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ### NotEqual 169 170 % 50.08/50.30 172. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 50.08/50.30 173. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 50.08/50.30 174. ((op (op (e0) (e0)) (e1)) != (op (e0) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ### NotEqual 172 173 % 50.08/50.30 175. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 50.08/50.30 176. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 50.08/50.30 177. ((op (op (e0) (e0)) (e2)) != (op (e0) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) = (e0)) ### NotEqual 175 176 % 50.08/50.30 178. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 50.08/50.30 179. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 50.08/50.30 180. ((op (op (e0) (e0)) (e3)) != (op (e0) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e0) (e0)) = (e0)) ### NotEqual 178 179 % 50.08/50.30 181. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 50.08/50.30 182. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 50.08/50.30 183. ((op (op (e0) (e0)) (e4)) != (op (e0) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e0) (e0)) = (e0)) ### NotEqual 181 182 % 50.08/50.30 184. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom % 50.08/50.30 185. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 50.08/50.30 186. ((op (op (e0) (e0)) (e5)) != (op (e0) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e0) (e0)) = (e0)) ### NotEqual 184 185 % 50.08/50.30 187. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 50.08/50.30 188. ((e0) != (e0)) ### NotEqual % 50.08/50.30 189. ((op (op (e0) (e1)) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) = (e1)) ### NotEqual 187 188 % 50.08/50.30 190. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 191. ((op (e0) (op (e1) (e0))) != (op (e0) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 188 190 % 50.08/50.30 192. ((e1) != (e1)) ### NotEqual % 50.08/50.30 193. ((e1) != (op (e0) (op (e1) (e0)))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ### Trans-sym 191 192 % 50.08/50.30 194. ((op (op (e0) (e1)) (e0)) != (op (e0) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e0) (e1)) = (e1)) ### Trans 189 193 % 50.08/50.30 195. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 50.08/50.30 196. ((op (op (e0) (e1)) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ### NotEqual 195 192 % 50.08/50.30 197. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 198. ((op (e0) (op (e1) (e1))) != (op (e0) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 188 197 % 50.08/50.30 199. ((e0) != (op (e0) (op (e1) (e1)))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) = (e0)) ### Trans-sym 198 188 % 50.08/50.30 200. ((op (op (e0) (e1)) (e1)) != (op (e0) (op (e1) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e1)) ### Trans 196 199 % 50.08/50.30 201. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 50.08/50.30 202. ((e2) != (e2)) ### NotEqual % 50.08/50.30 203. ((op (op (e0) (e1)) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e1)) ### NotEqual 201 202 % 50.08/50.30 204. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 205. ((op (e0) (op (e1) (e2))) != (op (e0) (e4))) ((op (e1) (e2)) = (e4)) ### NotEqual 188 204 % 50.08/50.30 206. ((e4) != (e4)) ### NotEqual % 50.08/50.30 207. ((e4) != (op (e0) (op (e1) (e2)))) ((op (e0) (e4)) = (e4)) ((op (e1) (e2)) = (e4)) ### Trans-sym 205 206 % 50.08/50.30 208. ((op (op (e0) (e1)) (e2)) != (op (e0) (op (e1) (e2)))) ((op (e1) (e2)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e0) (e1)) = (e1)) ### Trans 203 207 % 50.08/50.30 209. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 50.08/50.30 210. ((e3) != (e3)) ### NotEqual % 50.08/50.30 211. ((op (op (e0) (e1)) (e3)) != (op (e1) (e3))) ((op (e0) (e1)) = (e1)) ### NotEqual 209 210 % 50.08/50.30 212. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 213. ((op (e0) (op (e1) (e3))) != (op (e0) (e5))) ((op (e1) (e3)) = (e5)) ### NotEqual 188 212 % 50.08/50.30 214. ((e5) != (e5)) ### NotEqual % 50.08/50.30 215. ((e5) != (op (e0) (op (e1) (e3)))) ((op (e0) (e5)) = (e5)) ((op (e1) (e3)) = (e5)) ### Trans-sym 213 214 % 50.08/50.30 216. ((op (op (e0) (e1)) (e3)) != (op (e0) (op (e1) (e3)))) ((op (e1) (e3)) = (e5)) ((op (e0) (e5)) = (e5)) ((op (e0) (e1)) = (e1)) ### Trans 211 215 % 50.08/50.30 217. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 50.08/50.30 218. ((op (op (e0) (e1)) (e4)) != (op (e1) (e4))) ((op (e0) (e1)) = (e1)) ### NotEqual 217 206 % 50.08/50.30 219. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 220. ((op (e0) (op (e1) (e4))) != (op (e0) (e2))) ((op (e1) (e4)) = (e2)) ### NotEqual 188 219 % 50.08/50.30 221. ((e2) != (op (e0) (op (e1) (e4)))) ((op (e0) (e2)) = (e2)) ((op (e1) (e4)) = (e2)) ### Trans-sym 220 202 % 50.08/50.30 222. ((op (op (e0) (e1)) (e4)) != (op (e0) (op (e1) (e4)))) ((op (e1) (e4)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) = (e1)) ### Trans 218 221 % 50.08/50.30 223. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1)) ### Axiom % 50.08/50.30 224. ((op (op (e0) (e1)) (e5)) != (op (e1) (e5))) ((op (e0) (e1)) = (e1)) ### NotEqual 223 214 % 50.08/50.30 225. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 226. ((op (e0) (op (e1) (e5))) != (op (e0) (e3))) ((op (e1) (e5)) = (e3)) ### NotEqual 188 225 % 50.08/50.30 227. ((e3) != (op (e0) (op (e1) (e5)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e5)) = (e3)) ### Trans-sym 226 210 % 50.08/50.30 228. ((op (op (e0) (e1)) (e5)) != (op (e0) (op (e1) (e5)))) ((op (e1) (e5)) = (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e1)) = (e1)) ### Trans 224 227 % 50.08/50.30 229. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 50.08/50.30 230. ((op (op (e0) (e2)) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) = (e2)) ### NotEqual 229 188 % 50.08/50.30 231. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 232. ((op (e0) (op (e2) (e0))) != (op (e0) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 188 231 % 50.08/50.30 233. ((e2) != (op (e0) (op (e2) (e0)))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) = (e2)) ### Trans-sym 232 202 % 50.08/50.30 234. ((op (op (e0) (e2)) (e0)) != (op (e0) (op (e2) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) = (e2)) ### Trans 230 233 % 50.08/50.30 235. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 50.08/50.30 236. ((op (op (e0) (e2)) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) = (e2)) ### NotEqual 235 192 % 50.08/50.30 237. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 238. ((op (e0) (op (e2) (e1))) != (op (e0) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 188 237 % 50.08/50.30 239. ((e4) != (op (e0) (op (e2) (e1)))) ((op (e0) (e4)) = (e4)) ((op (e2) (e1)) = (e4)) ### Trans-sym 238 206 % 50.08/50.30 240. ((op (op (e0) (e2)) (e1)) != (op (e0) (op (e2) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e0) (e2)) = (e2)) ### Trans 236 239 % 50.08/50.30 241. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 50.08/50.30 242. ((op (op (e0) (e2)) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ### NotEqual 241 202 % 50.08/50.30 243. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 244. ((op (e0) (op (e2) (e2))) != (op (e0) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 188 243 % 50.08/50.30 245. ((e3) != (op (e0) (op (e2) (e2)))) ((op (e0) (e3)) = (e3)) ((op (e2) (e2)) = (e3)) ### Trans-sym 244 210 % 50.08/50.30 246. ((op (op (e0) (e2)) (e2)) != (op (e0) (op (e2) (e2)))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e2)) = (e2)) ### Trans 242 245 % 50.08/50.30 247. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 50.08/50.30 248. ((op (op (e0) (e2)) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ### NotEqual 247 210 % 50.08/50.30 249. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 250. ((op (e0) (op (e2) (e3))) != (op (e0) (e0))) ((op (e2) (e3)) = (e0)) ### NotEqual 188 249 % 50.08/50.30 251. ((e0) != (op (e0) (op (e2) (e3)))) ((op (e0) (e0)) = (e0)) ((op (e2) (e3)) = (e0)) ### Trans-sym 250 188 % 50.08/50.30 252. ((op (op (e0) (e2)) (e3)) != (op (e0) (op (e2) (e3)))) ((op (e2) (e3)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) = (e2)) ### Trans 248 251 % 50.08/50.30 253. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 50.08/50.30 254. ((op (op (e0) (e2)) (e4)) != (op (e2) (e4))) ((op (e0) (e2)) = (e2)) ### NotEqual 253 206 % 50.08/50.30 255. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 256. ((op (e0) (op (e2) (e4))) != (op (e0) (e5))) ((op (e2) (e4)) = (e5)) ### NotEqual 188 255 % 50.08/50.30 257. ((e5) != (op (e0) (op (e2) (e4)))) ((op (e0) (e5)) = (e5)) ((op (e2) (e4)) = (e5)) ### Trans-sym 256 214 % 50.08/50.30 258. ((op (op (e0) (e2)) (e4)) != (op (e0) (op (e2) (e4)))) ((op (e2) (e4)) = (e5)) ((op (e0) (e5)) = (e5)) ((op (e0) (e2)) = (e2)) ### Trans 254 257 % 50.08/50.30 259. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2)) ### Axiom % 50.08/50.30 260. ((op (op (e0) (e2)) (e5)) != (op (e2) (e5))) ((op (e0) (e2)) = (e2)) ### NotEqual 259 214 % 50.08/50.30 261. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 262. ((op (e0) (op (e2) (e5))) != (op (e0) (e1))) ((op (e2) (e5)) = (e1)) ### NotEqual 188 261 % 50.08/50.30 263. ((e1) != (op (e0) (op (e2) (e5)))) ((op (e0) (e1)) = (e1)) ((op (e2) (e5)) = (e1)) ### Trans-sym 262 192 % 50.08/50.30 264. ((op (op (e0) (e2)) (e5)) != (op (e0) (op (e2) (e5)))) ((op (e2) (e5)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) = (e2)) ### Trans 260 263 % 50.08/50.30 265. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 50.08/50.30 266. ((op (op (e0) (e3)) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e3)) ### NotEqual 265 188 % 50.08/50.30 267. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 268. ((op (e0) (op (e3) (e0))) != (op (e0) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 188 267 % 50.08/50.30 269. ((e3) != (op (e0) (op (e3) (e0)))) ((op (e0) (e3)) = (e3)) ((op (e3) (e0)) = (e3)) ### Trans-sym 268 210 % 50.08/50.30 270. ((op (op (e0) (e3)) (e0)) != (op (e0) (op (e3) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e0) (e3)) = (e3)) ### Trans 266 269 % 50.08/50.30 271. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 50.08/50.30 272. ((op (op (e0) (e3)) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e3)) ### NotEqual 271 192 % 50.08/50.30 273. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 274. ((op (e0) (op (e3) (e1))) != (op (e0) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 188 273 % 50.08/50.30 275. ((e5) != (op (e0) (op (e3) (e1)))) ((op (e0) (e5)) = (e5)) ((op (e3) (e1)) = (e5)) ### Trans-sym 274 214 % 50.08/50.30 276. ((op (op (e0) (e3)) (e1)) != (op (e0) (op (e3) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e0) (e5)) = (e5)) ((op (e0) (e3)) = (e3)) ### Trans 272 275 % 50.08/50.30 277. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 50.08/50.30 278. ((op (op (e0) (e3)) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) = (e3)) ### NotEqual 277 202 % 50.08/50.30 279. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 280. ((op (e0) (op (e3) (e2))) != (op (e0) (e0))) ((op (e3) (e2)) = (e0)) ### NotEqual 188 279 % 50.08/50.30 281. ((e0) != (op (e0) (op (e3) (e2)))) ((op (e0) (e0)) = (e0)) ((op (e3) (e2)) = (e0)) ### Trans-sym 280 188 % 50.08/50.30 282. ((op (op (e0) (e3)) (e2)) != (op (e0) (op (e3) (e2)))) ((op (e3) (e2)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) = (e3)) ### Trans 278 281 % 50.08/50.30 283. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 50.08/50.30 284. ((op (op (e0) (e3)) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ### NotEqual 283 210 % 50.08/50.30 285. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 286. ((op (e0) (op (e3) (e3))) != (op (e0) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 188 285 % 50.08/50.30 287. ((e2) != (op (e0) (op (e3) (e3)))) ((op (e0) (e2)) = (e2)) ((op (e3) (e3)) = (e2)) ### Trans-sym 286 202 % 50.08/50.30 288. ((op (op (e0) (e3)) (e3)) != (op (e0) (op (e3) (e3)))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e3)) = (e3)) ### Trans 284 287 % 50.08/50.30 289. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 50.08/50.30 290. ((op (op (e0) (e3)) (e4)) != (op (e3) (e4))) ((op (e0) (e3)) = (e3)) ### NotEqual 289 206 % 50.08/50.30 291. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 292. ((op (e0) (op (e3) (e4))) != (op (e0) (e1))) ((op (e3) (e4)) = (e1)) ### NotEqual 188 291 % 50.08/50.30 293. ((e1) != (op (e0) (op (e3) (e4)))) ((op (e0) (e1)) = (e1)) ((op (e3) (e4)) = (e1)) ### Trans-sym 292 192 % 50.08/50.30 294. ((op (op (e0) (e3)) (e4)) != (op (e0) (op (e3) (e4)))) ((op (e3) (e4)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e3)) = (e3)) ### Trans 290 293 % 50.08/50.30 295. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom % 50.08/50.30 296. ((op (op (e0) (e3)) (e5)) != (op (e3) (e5))) ((op (e0) (e3)) = (e3)) ### NotEqual 295 214 % 50.08/50.30 297. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 298. ((op (e0) (op (e3) (e5))) != (op (e0) (e4))) ((op (e3) (e5)) = (e4)) ### NotEqual 188 297 % 50.08/50.30 299. ((e4) != (op (e0) (op (e3) (e5)))) ((op (e0) (e4)) = (e4)) ((op (e3) (e5)) = (e4)) ### Trans-sym 298 206 % 50.08/50.30 300. ((op (op (e0) (e3)) (e5)) != (op (e0) (op (e3) (e5)))) ((op (e3) (e5)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e0) (e3)) = (e3)) ### Trans 296 299 % 50.08/50.30 301. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 50.08/50.30 302. ((op (op (e0) (e4)) (e0)) != (op (e4) (e0))) ((op (e0) (e4)) = (e4)) ### NotEqual 301 188 % 50.08/50.30 303. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 304. ((op (e0) (op (e4) (e0))) != (op (e0) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 188 303 % 50.08/50.30 305. ((e4) != (op (e0) (op (e4) (e0)))) ((op (e0) (e4)) = (e4)) ((op (e4) (e0)) = (e4)) ### Trans-sym 304 206 % 50.08/50.30 306. ((op (op (e0) (e4)) (e0)) != (op (e0) (op (e4) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e0) (e4)) = (e4)) ### Trans 302 305 % 50.08/50.30 307. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 50.08/50.30 308. ((op (op (e0) (e4)) (e1)) != (op (e4) (e1))) ((op (e0) (e4)) = (e4)) ### NotEqual 307 192 % 50.08/50.30 309. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.08/50.30 310. ((op (e0) (op (e4) (e1))) != (op (e0) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 188 309 % 50.08/50.30 311. ((e2) != (op (e0) (op (e4) (e1)))) ((op (e0) (e2)) = (e2)) ((op (e4) (e1)) = (e2)) ### Trans-sym 310 202 % 50.08/50.30 312. ((op (op (e0) (e4)) (e1)) != (op (e0) (op (e4) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e4)) = (e4)) ### Trans 308 311 % 50.08/50.30 313. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 50.08/50.30 314. ((op (op (e0) (e4)) (e2)) != (op (e4) (e2))) ((op (e0) (e4)) = (e4)) ### NotEqual 313 202 % 50.08/50.30 315. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.08/50.30 316. ((op (e0) (op (e4) (e2))) != (op (e0) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 188 315 % 50.08/50.30 317. ((e5) != (op (e0) (op (e4) (e2)))) ((op (e0) (e5)) = (e5)) ((op (e4) (e2)) = (e5)) ### Trans-sym 316 214 % 50.08/50.30 318. ((op (op (e0) (e4)) (e2)) != (op (e0) (op (e4) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e0) (e5)) = (e5)) ((op (e0) (e4)) = (e4)) ### Trans 314 317 % 50.08/50.30 319. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 50.08/50.30 320. ((op (op (e0) (e4)) (e3)) != (op (e4) (e3))) ((op (e0) (e4)) = (e4)) ### NotEqual 319 210 % 50.08/50.30 321. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.08/50.30 322. ((op (e0) (op (e4) (e3))) != (op (e0) (e1))) ((op (e4) (e3)) = (e1)) ### NotEqual 188 321 % 50.08/50.30 323. ((e1) != (op (e0) (op (e4) (e3)))) ((op (e0) (e1)) = (e1)) ((op (e4) (e3)) = (e1)) ### Trans-sym 322 192 % 50.08/50.30 324. ((op (op (e0) (e4)) (e3)) != (op (e0) (op (e4) (e3)))) ((op (e4) (e3)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e4)) = (e4)) ### Trans 320 323 % 50.08/50.30 325. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 50.08/50.30 326. ((op (op (e0) (e4)) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) ### NotEqual 325 206 % 50.08/50.30 327. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.08/50.30 328. ((op (e0) (op (e4) (e4))) != (op (e0) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 188 327 % 50.08/50.30 329. ((e3) != (op (e0) (op (e4) (e4)))) ((op (e0) (e3)) = (e3)) ((op (e4) (e4)) = (e3)) ### Trans-sym 328 210 % 50.08/50.30 330. ((op (op (e0) (e4)) (e4)) != (op (e0) (op (e4) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e4)) = (e4)) ### Trans 326 329 % 50.08/50.30 331. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4)) ### Axiom % 50.08/50.30 332. ((op (op (e0) (e4)) (e5)) != (op (e4) (e5))) ((op (e0) (e4)) = (e4)) ### NotEqual 331 214 % 50.08/50.30 333. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.08/50.30 334. ((op (e0) (op (e4) (e5))) != (op (e0) (e0))) ((op (e4) (e5)) = (e0)) ### NotEqual 188 333 % 50.08/50.30 335. ((e0) != (op (e0) (op (e4) (e5)))) ((op (e0) (e0)) = (e0)) ((op (e4) (e5)) = (e0)) ### Trans-sym 334 188 % 50.08/50.30 336. ((op (op (e0) (e4)) (e5)) != (op (e0) (op (e4) (e5)))) ((op (e4) (e5)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e4)) = (e4)) ### Trans 332 335 % 50.08/50.30 337. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 50.08/50.30 338. ((op (op (e0) (e5)) (e0)) != (op (e5) (e0))) ((op (e0) (e5)) = (e5)) ### NotEqual 337 188 % 50.08/50.30 339. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.08/50.30 340. ((op (e0) (op (e5) (e0))) != (op (e0) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 188 339 % 50.08/50.30 341. ((e5) != (op (e0) (op (e5) (e0)))) ((op (e0) (e5)) = (e5)) ((op (e5) (e0)) = (e5)) ### Trans-sym 340 214 % 50.08/50.30 342. ((op (op (e0) (e5)) (e0)) != (op (e0) (op (e5) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e0) (e5)) = (e5)) ### Trans 338 341 % 50.08/50.30 343. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 50.08/50.30 344. ((op (op (e0) (e5)) (e1)) != (op (e5) (e1))) ((op (e0) (e5)) = (e5)) ### NotEqual 343 192 % 50.08/50.30 345. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.08/50.30 346. ((op (e0) (op (e5) (e1))) != (op (e0) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 188 345 % 50.08/50.30 347. ((e3) != (op (e0) (op (e5) (e1)))) ((op (e0) (e3)) = (e3)) ((op (e5) (e1)) = (e3)) ### Trans-sym 346 210 % 50.08/50.30 348. ((op (op (e0) (e5)) (e1)) != (op (e0) (op (e5) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e5)) = (e5)) ### Trans 344 347 % 50.08/50.30 349. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 50.08/50.30 350. ((op (op (e0) (e5)) (e2)) != (op (e5) (e2))) ((op (e0) (e5)) = (e5)) ### NotEqual 349 202 % 50.08/50.30 351. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.08/50.30 352. ((op (e0) (op (e5) (e2))) != (op (e0) (e1))) ((op (e5) (e2)) = (e1)) ### NotEqual 188 351 % 50.08/50.30 353. ((e1) != (op (e0) (op (e5) (e2)))) ((op (e0) (e1)) = (e1)) ((op (e5) (e2)) = (e1)) ### Trans-sym 352 192 % 50.08/50.30 354. ((op (op (e0) (e5)) (e2)) != (op (e0) (op (e5) (e2)))) ((op (e5) (e2)) = (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e5)) = (e5)) ### Trans 350 353 % 50.08/50.30 355. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 50.08/50.30 356. ((op (op (e0) (e5)) (e3)) != (op (e5) (e3))) ((op (e0) (e5)) = (e5)) ### NotEqual 355 210 % 50.08/50.30 357. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.08/50.30 358. ((op (e0) (op (e5) (e3))) != (op (e0) (e4))) ((op (e5) (e3)) = (e4)) ### NotEqual 188 357 % 50.08/50.30 359. ((e4) != (op (e0) (op (e5) (e3)))) ((op (e0) (e4)) = (e4)) ((op (e5) (e3)) = (e4)) ### Trans-sym 358 206 % 50.08/50.30 360. ((op (op (e0) (e5)) (e3)) != (op (e0) (op (e5) (e3)))) ((op (e5) (e3)) = (e4)) ((op (e0) (e4)) = (e4)) ((op (e0) (e5)) = (e5)) ### Trans 356 359 % 50.08/50.30 361. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 50.08/50.30 362. ((op (op (e0) (e5)) (e4)) != (op (e5) (e4))) ((op (e0) (e5)) = (e5)) ### NotEqual 361 206 % 50.08/50.30 363. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.08/50.30 364. ((op (e0) (op (e5) (e4))) != (op (e0) (e0))) ((op (e5) (e4)) = (e0)) ### NotEqual 188 363 % 50.08/50.30 365. ((e0) != (op (e0) (op (e5) (e4)))) ((op (e0) (e0)) = (e0)) ((op (e5) (e4)) = (e0)) ### Trans-sym 364 188 % 50.08/50.30 366. ((op (op (e0) (e5)) (e4)) != (op (e0) (op (e5) (e4)))) ((op (e5) (e4)) = (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e5)) = (e5)) ### Trans 362 365 % 50.08/50.30 367. ((op (e0) (e5)) = (e5)) ((op (e0) (e5)) != (e5)) ### Axiom % 50.08/50.30 368. ((op (op (e0) (e5)) (e5)) != (op (e5) (e5))) ((op (e0) (e5)) = (e5)) ### NotEqual 367 214 % 50.08/50.30 369. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.08/50.30 370. ((op (e0) (op (e5) (e5))) != (op (e0) (e2))) ((op (e5) (e5)) = (e2)) ### NotEqual 188 369 % 50.08/50.30 371. ((e2) != (op (e0) (op (e5) (e5)))) ((op (e0) (e2)) = (e2)) ((op (e5) (e5)) = (e2)) ### Trans-sym 370 202 % 50.08/50.30 372. ((op (op (e0) (e5)) (e5)) != (op (e0) (op (e5) (e5)))) ((op (e5) (e5)) = (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e5)) = (e5)) ### Trans 368 371 % 50.08/50.30 373. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 374. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 50.08/50.30 375. ((op (op (e1) (e0)) (e0)) != (op (e1) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ### NotEqual 373 374 % 50.08/50.30 376. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 377. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 50.08/50.30 378. ((op (op (e1) (e0)) (e1)) != (op (e1) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ### NotEqual 376 377 % 50.08/50.30 379. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 380. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 50.08/50.30 381. ((op (op (e1) (e0)) (e2)) != (op (e1) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e1) (e0)) = (e1)) ### NotEqual 379 380 % 50.08/50.30 382. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 383. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 50.08/50.30 384. ((op (op (e1) (e0)) (e3)) != (op (e1) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) = (e1)) ### NotEqual 382 383 % 50.08/50.30 385. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 386. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 50.08/50.30 387. ((op (op (e1) (e0)) (e4)) != (op (e1) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e1) (e0)) = (e1)) ### NotEqual 385 386 % 50.08/50.30 388. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 389. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 50.08/50.30 390. ((op (op (e1) (e0)) (e5)) != (op (e1) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e1) (e0)) = (e1)) ### NotEqual 388 389 % 50.08/50.30 391. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 392. ((op (op (e1) (e1)) (e0)) != (op (e0) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 391 188 % 50.08/50.30 393. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 394. ((op (e1) (op (e1) (e0))) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 192 393 % 50.08/50.30 395. ((e0) != (op (e1) (op (e1) (e0)))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e1)) ### Trans-sym 394 188 % 50.08/50.30 396. ((op (op (e1) (e1)) (e0)) != (op (e1) (op (e1) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ### Trans 392 395 % 50.08/50.30 397. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 398. ((op (op (e1) (e1)) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e0)) ### NotEqual 397 192 % 50.08/50.30 399. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 400. ((op (e1) (op (e1) (e1))) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 192 399 % 50.08/50.30 401. ((e1) != (op (e1) (op (e1) (e1)))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ### Trans-sym 400 192 % 50.08/50.30 402. ((op (op (e1) (e1)) (e1)) != (op (e1) (op (e1) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e0)) ### Trans 398 401 % 50.08/50.30 403. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 404. ((op (op (e1) (e1)) (e2)) != (op (e0) (e2))) ((op (e1) (e1)) = (e0)) ### NotEqual 403 202 % 50.08/50.30 405. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 406. ((op (e1) (op (e1) (e2))) != (op (e1) (e4))) ((op (e1) (e2)) = (e4)) ### NotEqual 192 405 % 50.08/50.30 407. ((e2) != (op (e1) (op (e1) (e2)))) ((op (e1) (e4)) = (e2)) ((op (e1) (e2)) = (e4)) ### Trans-sym 406 202 % 50.08/50.30 408. ((op (op (e1) (e1)) (e2)) != (op (e1) (op (e1) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e1) (e4)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans 404 407 % 50.08/50.30 409. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 410. ((op (op (e1) (e1)) (e3)) != (op (e0) (e3))) ((op (e1) (e1)) = (e0)) ### NotEqual 409 210 % 50.08/50.30 411. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 412. ((op (e1) (op (e1) (e3))) != (op (e1) (e5))) ((op (e1) (e3)) = (e5)) ### NotEqual 192 411 % 50.08/50.30 413. ((e3) != (op (e1) (op (e1) (e3)))) ((op (e1) (e5)) = (e3)) ((op (e1) (e3)) = (e5)) ### Trans-sym 412 210 % 50.08/50.30 414. ((op (op (e1) (e1)) (e3)) != (op (e1) (op (e1) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e5)) ((op (e1) (e5)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans 410 413 % 50.08/50.30 415. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 416. ((op (op (e1) (e1)) (e4)) != (op (e0) (e4))) ((op (e1) (e1)) = (e0)) ### NotEqual 415 206 % 50.08/50.30 417. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 418. ((op (e1) (op (e1) (e4))) != (op (e1) (e2))) ((op (e1) (e4)) = (e2)) ### NotEqual 192 417 % 50.08/50.30 419. ((e4) != (op (e1) (op (e1) (e4)))) ((op (e1) (e2)) = (e4)) ((op (e1) (e4)) = (e2)) ### Trans-sym 418 206 % 50.08/50.30 420. ((op (op (e1) (e1)) (e4)) != (op (e1) (op (e1) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e1) (e4)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e1) (e1)) = (e0)) ### Trans 416 419 % 50.08/50.30 421. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 422. ((op (op (e1) (e1)) (e5)) != (op (e0) (e5))) ((op (e1) (e1)) = (e0)) ### NotEqual 421 214 % 50.08/50.30 423. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 424. ((op (e1) (op (e1) (e5))) != (op (e1) (e3))) ((op (e1) (e5)) = (e3)) ### NotEqual 192 423 % 50.08/50.30 425. ((e5) != (op (e1) (op (e1) (e5)))) ((op (e1) (e3)) = (e5)) ((op (e1) (e5)) = (e3)) ### Trans-sym 424 214 % 50.08/50.30 426. ((op (op (e1) (e1)) (e5)) != (op (e1) (op (e1) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e1) (e5)) = (e3)) ((op (e1) (e3)) = (e5)) ((op (e1) (e1)) = (e0)) ### Trans 422 425 % 50.08/50.30 427. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 428. ((op (op (e1) (e2)) (e0)) != (op (e4) (e0))) ((op (e1) (e2)) = (e4)) ### NotEqual 427 188 % 50.08/50.30 429. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 430. ((op (e1) (op (e2) (e0))) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 192 429 % 50.08/50.30 431. ((e4) != (op (e1) (op (e2) (e0)))) ((op (e1) (e2)) = (e4)) ((op (e2) (e0)) = (e2)) ### Trans-sym 430 206 % 50.08/50.30 432. ((op (op (e1) (e2)) (e0)) != (op (e1) (op (e2) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e2) (e0)) = (e2)) ((op (e1) (e2)) = (e4)) ### Trans 428 431 % 50.08/50.30 433. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 434. ((op (op (e1) (e2)) (e1)) != (op (e4) (e1))) ((op (e1) (e2)) = (e4)) ### NotEqual 433 192 % 50.08/50.30 435. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 436. ((op (e1) (op (e2) (e1))) != (op (e1) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 192 435 % 50.08/50.30 437. ((e2) != (op (e1) (op (e2) (e1)))) ((op (e1) (e4)) = (e2)) ((op (e2) (e1)) = (e4)) ### Trans-sym 436 202 % 50.08/50.30 438. ((op (op (e1) (e2)) (e1)) != (op (e1) (op (e2) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e2) (e1)) = (e4)) ((op (e1) (e4)) = (e2)) ((op (e1) (e2)) = (e4)) ### Trans 434 437 % 50.08/50.30 439. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 440. ((op (op (e1) (e2)) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) = (e4)) ### NotEqual 439 202 % 50.08/50.30 441. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 442. ((op (e1) (op (e2) (e2))) != (op (e1) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 192 441 % 50.08/50.30 443. ((e5) != (op (e1) (op (e2) (e2)))) ((op (e1) (e3)) = (e5)) ((op (e2) (e2)) = (e3)) ### Trans-sym 442 214 % 50.08/50.30 444. ((op (op (e1) (e2)) (e2)) != (op (e1) (op (e2) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e2) (e2)) = (e3)) ((op (e1) (e3)) = (e5)) ((op (e1) (e2)) = (e4)) ### Trans 440 443 % 50.08/50.30 445. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 446. ((op (op (e1) (e2)) (e3)) != (op (e4) (e3))) ((op (e1) (e2)) = (e4)) ### NotEqual 445 210 % 50.08/50.30 447. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 448. ((op (e1) (op (e2) (e3))) != (op (e1) (e0))) ((op (e2) (e3)) = (e0)) ### NotEqual 192 447 % 50.08/50.30 449. ((e1) != (op (e1) (op (e2) (e3)))) ((op (e1) (e0)) = (e1)) ((op (e2) (e3)) = (e0)) ### Trans-sym 448 192 % 50.08/50.30 450. ((op (op (e1) (e2)) (e3)) != (op (e1) (op (e2) (e3)))) ((op (e4) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e2)) = (e4)) ### Trans 446 449 % 50.08/50.30 451. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 452. ((op (op (e1) (e2)) (e4)) != (op (e4) (e4))) ((op (e1) (e2)) = (e4)) ### NotEqual 451 206 % 50.08/50.30 453. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 454. ((op (e1) (op (e2) (e4))) != (op (e1) (e5))) ((op (e2) (e4)) = (e5)) ### NotEqual 192 453 % 50.08/50.30 455. ((e3) != (op (e1) (op (e2) (e4)))) ((op (e1) (e5)) = (e3)) ((op (e2) (e4)) = (e5)) ### Trans-sym 454 210 % 50.08/50.30 456. ((op (op (e1) (e2)) (e4)) != (op (e1) (op (e2) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e2) (e4)) = (e5)) ((op (e1) (e5)) = (e3)) ((op (e1) (e2)) = (e4)) ### Trans 452 455 % 50.08/50.30 457. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 458. ((op (op (e1) (e2)) (e5)) != (op (e4) (e5))) ((op (e1) (e2)) = (e4)) ### NotEqual 457 214 % 50.08/50.30 459. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 460. ((op (e1) (op (e2) (e5))) != (op (e1) (e1))) ((op (e2) (e5)) = (e1)) ### NotEqual 192 459 % 50.08/50.30 461. ((e0) != (op (e1) (op (e2) (e5)))) ((op (e1) (e1)) = (e0)) ((op (e2) (e5)) = (e1)) ### Trans-sym 460 188 % 50.08/50.30 462. ((op (op (e1) (e2)) (e5)) != (op (e1) (op (e2) (e5)))) ((op (e4) (e5)) = (e0)) ((op (e2) (e5)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e4)) ### Trans 458 461 % 50.08/50.30 463. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 464. ((op (op (e1) (e3)) (e0)) != (op (e5) (e0))) ((op (e1) (e3)) = (e5)) ### NotEqual 463 188 % 50.08/50.30 465. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 466. ((op (e1) (op (e3) (e0))) != (op (e1) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 192 465 % 50.08/50.30 467. ((e5) != (op (e1) (op (e3) (e0)))) ((op (e1) (e3)) = (e5)) ((op (e3) (e0)) = (e3)) ### Trans-sym 466 214 % 50.08/50.30 468. ((op (op (e1) (e3)) (e0)) != (op (e1) (op (e3) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e3) (e0)) = (e3)) ((op (e1) (e3)) = (e5)) ### Trans 464 467 % 50.08/50.30 469. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 470. ((op (op (e1) (e3)) (e1)) != (op (e5) (e1))) ((op (e1) (e3)) = (e5)) ### NotEqual 469 192 % 50.08/50.30 471. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 472. ((op (e1) (op (e3) (e1))) != (op (e1) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 192 471 % 50.08/50.30 473. ((e3) != (op (e1) (op (e3) (e1)))) ((op (e1) (e5)) = (e3)) ((op (e3) (e1)) = (e5)) ### Trans-sym 472 210 % 50.08/50.30 474. ((op (op (e1) (e3)) (e1)) != (op (e1) (op (e3) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e3) (e1)) = (e5)) ((op (e1) (e5)) = (e3)) ((op (e1) (e3)) = (e5)) ### Trans 470 473 % 50.08/50.30 475. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 476. ((op (op (e1) (e3)) (e2)) != (op (e5) (e2))) ((op (e1) (e3)) = (e5)) ### NotEqual 475 202 % 50.08/50.30 477. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 478. ((op (e1) (op (e3) (e2))) != (op (e1) (e0))) ((op (e3) (e2)) = (e0)) ### NotEqual 192 477 % 50.08/50.30 479. ((e1) != (op (e1) (op (e3) (e2)))) ((op (e1) (e0)) = (e1)) ((op (e3) (e2)) = (e0)) ### Trans-sym 478 192 % 50.08/50.30 480. ((op (op (e1) (e3)) (e2)) != (op (e1) (op (e3) (e2)))) ((op (e5) (e2)) = (e1)) ((op (e3) (e2)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e3)) = (e5)) ### Trans 476 479 % 50.08/50.30 481. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 482. ((op (op (e1) (e3)) (e3)) != (op (e5) (e3))) ((op (e1) (e3)) = (e5)) ### NotEqual 481 210 % 50.08/50.30 483. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 484. ((op (e1) (op (e3) (e3))) != (op (e1) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 192 483 % 50.08/50.30 485. ((e4) != (op (e1) (op (e3) (e3)))) ((op (e1) (e2)) = (e4)) ((op (e3) (e3)) = (e2)) ### Trans-sym 484 206 % 50.08/50.30 486. ((op (op (e1) (e3)) (e3)) != (op (e1) (op (e3) (e3)))) ((op (e5) (e3)) = (e4)) ((op (e3) (e3)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e1) (e3)) = (e5)) ### Trans 482 485 % 50.08/50.30 487. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 488. ((op (op (e1) (e3)) (e4)) != (op (e5) (e4))) ((op (e1) (e3)) = (e5)) ### NotEqual 487 206 % 50.08/50.30 489. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 490. ((op (e1) (op (e3) (e4))) != (op (e1) (e1))) ((op (e3) (e4)) = (e1)) ### NotEqual 192 489 % 50.08/50.30 491. ((e0) != (op (e1) (op (e3) (e4)))) ((op (e1) (e1)) = (e0)) ((op (e3) (e4)) = (e1)) ### Trans-sym 490 188 % 50.08/50.30 492. ((op (op (e1) (e3)) (e4)) != (op (e1) (op (e3) (e4)))) ((op (e5) (e4)) = (e0)) ((op (e3) (e4)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e3)) = (e5)) ### Trans 488 491 % 50.08/50.30 493. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 494. ((op (op (e1) (e3)) (e5)) != (op (e5) (e5))) ((op (e1) (e3)) = (e5)) ### NotEqual 493 214 % 50.08/50.30 495. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 496. ((op (e1) (op (e3) (e5))) != (op (e1) (e4))) ((op (e3) (e5)) = (e4)) ### NotEqual 192 495 % 50.08/50.30 497. ((e2) != (op (e1) (op (e3) (e5)))) ((op (e1) (e4)) = (e2)) ((op (e3) (e5)) = (e4)) ### Trans-sym 496 202 % 50.08/50.30 498. ((op (op (e1) (e3)) (e5)) != (op (e1) (op (e3) (e5)))) ((op (e5) (e5)) = (e2)) ((op (e3) (e5)) = (e4)) ((op (e1) (e4)) = (e2)) ((op (e1) (e3)) = (e5)) ### Trans 494 497 % 50.08/50.30 499. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 500. ((op (op (e1) (e4)) (e0)) != (op (e2) (e0))) ((op (e1) (e4)) = (e2)) ### NotEqual 499 188 % 50.08/50.30 501. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 502. ((op (e1) (op (e4) (e0))) != (op (e1) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 192 501 % 50.08/50.30 503. ((e2) != (op (e1) (op (e4) (e0)))) ((op (e1) (e4)) = (e2)) ((op (e4) (e0)) = (e4)) ### Trans-sym 502 202 % 50.08/50.30 504. ((op (op (e1) (e4)) (e0)) != (op (e1) (op (e4) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e4) (e0)) = (e4)) ((op (e1) (e4)) = (e2)) ### Trans 500 503 % 50.08/50.30 505. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 506. ((op (op (e1) (e4)) (e1)) != (op (e2) (e1))) ((op (e1) (e4)) = (e2)) ### NotEqual 505 192 % 50.08/50.30 507. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.08/50.30 508. ((op (e1) (op (e4) (e1))) != (op (e1) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 192 507 % 50.08/50.30 509. ((e4) != (op (e1) (op (e4) (e1)))) ((op (e1) (e2)) = (e4)) ((op (e4) (e1)) = (e2)) ### Trans-sym 508 206 % 50.08/50.30 510. ((op (op (e1) (e4)) (e1)) != (op (e1) (op (e4) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e4) (e1)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e1) (e4)) = (e2)) ### Trans 506 509 % 50.08/50.30 511. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 512. ((op (op (e1) (e4)) (e2)) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ### NotEqual 511 202 % 50.08/50.30 513. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.08/50.30 514. ((op (e1) (op (e4) (e2))) != (op (e1) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 192 513 % 50.08/50.30 515. ((e3) != (op (e1) (op (e4) (e2)))) ((op (e1) (e5)) = (e3)) ((op (e4) (e2)) = (e5)) ### Trans-sym 514 210 % 50.08/50.30 516. ((op (op (e1) (e4)) (e2)) != (op (e1) (op (e4) (e2)))) ((op (e2) (e2)) = (e3)) ((op (e4) (e2)) = (e5)) ((op (e1) (e5)) = (e3)) ((op (e1) (e4)) = (e2)) ### Trans 512 515 % 50.08/50.30 517. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 518. ((op (op (e1) (e4)) (e3)) != (op (e2) (e3))) ((op (e1) (e4)) = (e2)) ### NotEqual 517 210 % 50.08/50.30 519. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.08/50.30 520. ((op (e1) (op (e4) (e3))) != (op (e1) (e1))) ((op (e4) (e3)) = (e1)) ### NotEqual 192 519 % 50.08/50.30 521. ((e0) != (op (e1) (op (e4) (e3)))) ((op (e1) (e1)) = (e0)) ((op (e4) (e3)) = (e1)) ### Trans-sym 520 188 % 50.08/50.30 522. ((op (op (e1) (e4)) (e3)) != (op (e1) (op (e4) (e3)))) ((op (e2) (e3)) = (e0)) ((op (e4) (e3)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e4)) = (e2)) ### Trans 518 521 % 50.08/50.30 523. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 524. ((op (op (e1) (e4)) (e4)) != (op (e2) (e4))) ((op (e1) (e4)) = (e2)) ### NotEqual 523 206 % 50.08/50.30 525. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.08/50.30 526. ((op (e1) (op (e4) (e4))) != (op (e1) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 192 525 % 50.08/50.30 527. ((e5) != (op (e1) (op (e4) (e4)))) ((op (e1) (e3)) = (e5)) ((op (e4) (e4)) = (e3)) ### Trans-sym 526 214 % 50.08/50.30 528. ((op (op (e1) (e4)) (e4)) != (op (e1) (op (e4) (e4)))) ((op (e2) (e4)) = (e5)) ((op (e4) (e4)) = (e3)) ((op (e1) (e3)) = (e5)) ((op (e1) (e4)) = (e2)) ### Trans 524 527 % 50.08/50.30 529. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 530. ((op (op (e1) (e4)) (e5)) != (op (e2) (e5))) ((op (e1) (e4)) = (e2)) ### NotEqual 529 214 % 50.08/50.30 531. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.08/50.30 532. ((op (e1) (op (e4) (e5))) != (op (e1) (e0))) ((op (e4) (e5)) = (e0)) ### NotEqual 192 531 % 50.08/50.30 533. ((e1) != (op (e1) (op (e4) (e5)))) ((op (e1) (e0)) = (e1)) ((op (e4) (e5)) = (e0)) ### Trans-sym 532 192 % 50.08/50.30 534. ((op (op (e1) (e4)) (e5)) != (op (e1) (op (e4) (e5)))) ((op (e2) (e5)) = (e1)) ((op (e4) (e5)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e4)) = (e2)) ### Trans 530 533 % 50.08/50.30 535. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 536. ((op (op (e1) (e5)) (e0)) != (op (e3) (e0))) ((op (e1) (e5)) = (e3)) ### NotEqual 535 188 % 50.08/50.30 537. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.08/50.30 538. ((op (e1) (op (e5) (e0))) != (op (e1) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 192 537 % 50.08/50.30 539. ((e3) != (op (e1) (op (e5) (e0)))) ((op (e1) (e5)) = (e3)) ((op (e5) (e0)) = (e5)) ### Trans-sym 538 210 % 50.08/50.30 540. ((op (op (e1) (e5)) (e0)) != (op (e1) (op (e5) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e5) (e0)) = (e5)) ((op (e1) (e5)) = (e3)) ### Trans 536 539 % 50.08/50.30 541. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 542. ((op (op (e1) (e5)) (e1)) != (op (e3) (e1))) ((op (e1) (e5)) = (e3)) ### NotEqual 541 192 % 50.08/50.30 543. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.08/50.30 544. ((op (e1) (op (e5) (e1))) != (op (e1) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 192 543 % 50.08/50.30 545. ((e5) != (op (e1) (op (e5) (e1)))) ((op (e1) (e3)) = (e5)) ((op (e5) (e1)) = (e3)) ### Trans-sym 544 214 % 50.08/50.30 546. ((op (op (e1) (e5)) (e1)) != (op (e1) (op (e5) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e5) (e1)) = (e3)) ((op (e1) (e3)) = (e5)) ((op (e1) (e5)) = (e3)) ### Trans 542 545 % 50.08/50.30 547. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 548. ((op (op (e1) (e5)) (e2)) != (op (e3) (e2))) ((op (e1) (e5)) = (e3)) ### NotEqual 547 202 % 50.08/50.30 549. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.08/50.30 550. ((op (e1) (op (e5) (e2))) != (op (e1) (e1))) ((op (e5) (e2)) = (e1)) ### NotEqual 192 549 % 50.08/50.30 551. ((e0) != (op (e1) (op (e5) (e2)))) ((op (e1) (e1)) = (e0)) ((op (e5) (e2)) = (e1)) ### Trans-sym 550 188 % 50.08/50.30 552. ((op (op (e1) (e5)) (e2)) != (op (e1) (op (e5) (e2)))) ((op (e3) (e2)) = (e0)) ((op (e5) (e2)) = (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e5)) = (e3)) ### Trans 548 551 % 50.08/50.30 553. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 554. ((op (op (e1) (e5)) (e3)) != (op (e3) (e3))) ((op (e1) (e5)) = (e3)) ### NotEqual 553 210 % 50.08/50.30 555. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.08/50.30 556. ((op (e1) (op (e5) (e3))) != (op (e1) (e4))) ((op (e5) (e3)) = (e4)) ### NotEqual 192 555 % 50.08/50.30 557. ((e2) != (op (e1) (op (e5) (e3)))) ((op (e1) (e4)) = (e2)) ((op (e5) (e3)) = (e4)) ### Trans-sym 556 202 % 50.08/50.30 558. ((op (op (e1) (e5)) (e3)) != (op (e1) (op (e5) (e3)))) ((op (e3) (e3)) = (e2)) ((op (e5) (e3)) = (e4)) ((op (e1) (e4)) = (e2)) ((op (e1) (e5)) = (e3)) ### Trans 554 557 % 50.08/50.30 559. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 560. ((op (op (e1) (e5)) (e4)) != (op (e3) (e4))) ((op (e1) (e5)) = (e3)) ### NotEqual 559 206 % 50.08/50.30 561. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.08/50.30 562. ((op (e1) (op (e5) (e4))) != (op (e1) (e0))) ((op (e5) (e4)) = (e0)) ### NotEqual 192 561 % 50.08/50.30 563. ((e1) != (op (e1) (op (e5) (e4)))) ((op (e1) (e0)) = (e1)) ((op (e5) (e4)) = (e0)) ### Trans-sym 562 192 % 50.08/50.30 564. ((op (op (e1) (e5)) (e4)) != (op (e1) (op (e5) (e4)))) ((op (e3) (e4)) = (e1)) ((op (e5) (e4)) = (e0)) ((op (e1) (e0)) = (e1)) ((op (e1) (e5)) = (e3)) ### Trans 560 563 % 50.08/50.30 565. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 566. ((op (op (e1) (e5)) (e5)) != (op (e3) (e5))) ((op (e1) (e5)) = (e3)) ### NotEqual 565 214 % 50.08/50.30 567. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.08/50.30 568. ((op (e1) (op (e5) (e5))) != (op (e1) (e2))) ((op (e5) (e5)) = (e2)) ### NotEqual 192 567 % 50.08/50.30 569. ((e4) != (op (e1) (op (e5) (e5)))) ((op (e1) (e2)) = (e4)) ((op (e5) (e5)) = (e2)) ### Trans-sym 568 206 % 50.08/50.30 570. ((op (op (e1) (e5)) (e5)) != (op (e1) (op (e5) (e5)))) ((op (e3) (e5)) = (e4)) ((op (e5) (e5)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e1) (e5)) = (e3)) ### Trans 566 569 % 50.08/50.30 571. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 572. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 50.08/50.30 573. ((op (op (e2) (e0)) (e0)) != (op (e2) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ### NotEqual 571 572 % 50.08/50.30 574. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 575. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 50.08/50.30 576. ((op (op (e2) (e0)) (e1)) != (op (e2) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e2) (e0)) = (e2)) ### NotEqual 574 575 % 50.08/50.30 577. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 578. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 50.08/50.30 579. ((op (op (e2) (e0)) (e2)) != (op (e2) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e2) (e0)) = (e2)) ### NotEqual 577 578 % 50.08/50.30 580. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 581. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 50.08/50.30 582. ((op (op (e2) (e0)) (e3)) != (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e2) (e0)) = (e2)) ### NotEqual 580 581 % 50.08/50.30 583. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 584. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 50.08/50.30 585. ((op (op (e2) (e0)) (e4)) != (op (e2) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e2) (e0)) = (e2)) ### NotEqual 583 584 % 50.08/50.30 586. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 587. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 50.08/50.30 588. ((op (op (e2) (e0)) (e5)) != (op (e2) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e2) (e0)) = (e2)) ### NotEqual 586 587 % 50.08/50.30 589. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 590. ((op (op (e2) (e1)) (e0)) != (op (e4) (e0))) ((op (e2) (e1)) = (e4)) ### NotEqual 589 188 % 50.08/50.30 591. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 592. ((op (e2) (op (e1) (e0))) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 202 591 % 50.08/50.30 593. ((e4) != (op (e2) (op (e1) (e0)))) ((op (e2) (e1)) = (e4)) ((op (e1) (e0)) = (e1)) ### Trans-sym 592 206 % 50.08/50.30 594. ((op (op (e2) (e1)) (e0)) != (op (e2) (op (e1) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) = (e4)) ### Trans 590 593 % 50.08/50.30 595. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 596. ((op (op (e2) (e1)) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) = (e4)) ### NotEqual 595 192 % 50.08/50.30 597. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 598. ((op (e2) (op (e1) (e1))) != (op (e2) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 202 597 % 50.08/50.30 599. ((e2) != (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 598 202 % 50.08/50.30 600. ((op (op (e2) (e1)) (e1)) != (op (e2) (op (e1) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) = (e4)) ### Trans 596 599 % 50.08/50.30 601. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 602. ((op (op (e2) (e1)) (e2)) != (op (e4) (e2))) ((op (e2) (e1)) = (e4)) ### NotEqual 601 202 % 50.08/50.30 603. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 604. ((op (e2) (op (e1) (e2))) != (op (e2) (e4))) ((op (e1) (e2)) = (e4)) ### NotEqual 202 603 % 50.08/50.30 605. ((e5) != (op (e2) (op (e1) (e2)))) ((op (e2) (e4)) = (e5)) ((op (e1) (e2)) = (e4)) ### Trans-sym 604 214 % 50.08/50.30 606. ((op (op (e2) (e1)) (e2)) != (op (e2) (op (e1) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e1) (e2)) = (e4)) ((op (e2) (e4)) = (e5)) ((op (e2) (e1)) = (e4)) ### Trans 602 605 % 50.08/50.30 607. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 608. ((op (op (e2) (e1)) (e3)) != (op (e4) (e3))) ((op (e2) (e1)) = (e4)) ### NotEqual 607 210 % 50.08/50.30 609. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 610. ((op (e2) (op (e1) (e3))) != (op (e2) (e5))) ((op (e1) (e3)) = (e5)) ### NotEqual 202 609 % 50.08/50.30 611. ((e1) != (op (e2) (op (e1) (e3)))) ((op (e2) (e5)) = (e1)) ((op (e1) (e3)) = (e5)) ### Trans-sym 610 192 % 50.08/50.30 612. ((op (op (e2) (e1)) (e3)) != (op (e2) (op (e1) (e3)))) ((op (e4) (e3)) = (e1)) ((op (e1) (e3)) = (e5)) ((op (e2) (e5)) = (e1)) ((op (e2) (e1)) = (e4)) ### Trans 608 611 % 50.08/50.30 613. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 614. ((op (op (e2) (e1)) (e4)) != (op (e4) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 613 206 % 50.08/50.30 615. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 616. ((op (e2) (op (e1) (e4))) != (op (e2) (e2))) ((op (e1) (e4)) = (e2)) ### NotEqual 202 615 % 50.08/50.30 617. ((e3) != (op (e2) (op (e1) (e4)))) ((op (e2) (e2)) = (e3)) ((op (e1) (e4)) = (e2)) ### Trans-sym 616 210 % 50.08/50.30 618. ((op (op (e2) (e1)) (e4)) != (op (e2) (op (e1) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e1) (e4)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) = (e4)) ### Trans 614 617 % 50.08/50.30 619. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 620. ((op (op (e2) (e1)) (e5)) != (op (e4) (e5))) ((op (e2) (e1)) = (e4)) ### NotEqual 619 214 % 50.08/50.30 621. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 622. ((op (e2) (op (e1) (e5))) != (op (e2) (e3))) ((op (e1) (e5)) = (e3)) ### NotEqual 202 621 % 50.08/50.30 623. ((e0) != (op (e2) (op (e1) (e5)))) ((op (e2) (e3)) = (e0)) ((op (e1) (e5)) = (e3)) ### Trans-sym 622 188 % 50.08/50.30 624. ((op (op (e2) (e1)) (e5)) != (op (e2) (op (e1) (e5)))) ((op (e4) (e5)) = (e0)) ((op (e1) (e5)) = (e3)) ((op (e2) (e3)) = (e0)) ((op (e2) (e1)) = (e4)) ### Trans 620 623 % 50.08/50.30 625. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 626. ((op (op (e2) (e2)) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e3)) ### NotEqual 625 188 % 50.08/50.30 627. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 628. ((op (e2) (op (e2) (e0))) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 202 627 % 50.08/50.30 629. ((e3) != (op (e2) (op (e2) (e0)))) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) = (e2)) ### Trans-sym 628 210 % 50.08/50.30 630. ((op (op (e2) (e2)) (e0)) != (op (e2) (op (e2) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e3)) ### Trans 626 629 % 50.08/50.30 631. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 632. ((op (op (e2) (e2)) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) = (e3)) ### NotEqual 631 192 % 50.08/50.30 633. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 634. ((op (e2) (op (e2) (e1))) != (op (e2) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 202 633 % 50.08/50.30 635. ((e5) != (op (e2) (op (e2) (e1)))) ((op (e2) (e4)) = (e5)) ((op (e2) (e1)) = (e4)) ### Trans-sym 634 214 % 50.08/50.30 636. ((op (op (e2) (e2)) (e1)) != (op (e2) (op (e2) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e2) (e1)) = (e4)) ((op (e2) (e4)) = (e5)) ((op (e2) (e2)) = (e3)) ### Trans 632 635 % 50.08/50.30 637. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 638. ((op (op (e2) (e2)) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) ### NotEqual 637 202 % 50.08/50.30 639. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 640. ((op (e2) (op (e2) (e2))) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 202 639 % 50.08/50.30 641. ((e0) != (op (e2) (op (e2) (e2)))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 640 188 % 50.08/50.30 642. ((op (op (e2) (e2)) (e2)) != (op (e2) (op (e2) (e2)))) ((op (e3) (e2)) = (e0)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans 638 641 % 50.08/50.30 643. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 644. ((op (op (e2) (e2)) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 643 210 % 50.08/50.30 645. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 646. ((op (e2) (op (e2) (e3))) != (op (e2) (e0))) ((op (e2) (e3)) = (e0)) ### NotEqual 202 645 % 50.08/50.30 647. ((e2) != (op (e2) (op (e2) (e3)))) ((op (e2) (e0)) = (e2)) ((op (e2) (e3)) = (e0)) ### Trans-sym 646 202 % 50.08/50.30 648. ((op (op (e2) (e2)) (e3)) != (op (e2) (op (e2) (e3)))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e3)) ### Trans 644 647 % 50.08/50.30 649. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 650. ((op (op (e2) (e2)) (e4)) != (op (e3) (e4))) ((op (e2) (e2)) = (e3)) ### NotEqual 649 206 % 50.08/50.30 651. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 652. ((op (e2) (op (e2) (e4))) != (op (e2) (e5))) ((op (e2) (e4)) = (e5)) ### NotEqual 202 651 % 50.08/50.30 653. ((e1) != (op (e2) (op (e2) (e4)))) ((op (e2) (e5)) = (e1)) ((op (e2) (e4)) = (e5)) ### Trans-sym 652 192 % 50.08/50.30 654. ((op (op (e2) (e2)) (e4)) != (op (e2) (op (e2) (e4)))) ((op (e3) (e4)) = (e1)) ((op (e2) (e4)) = (e5)) ((op (e2) (e5)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans 650 653 % 50.08/50.30 655. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 656. ((op (op (e2) (e2)) (e5)) != (op (e3) (e5))) ((op (e2) (e2)) = (e3)) ### NotEqual 655 214 % 50.08/50.30 657. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 658. ((op (e2) (op (e2) (e5))) != (op (e2) (e1))) ((op (e2) (e5)) = (e1)) ### NotEqual 202 657 % 50.08/50.30 659. ((e4) != (op (e2) (op (e2) (e5)))) ((op (e2) (e1)) = (e4)) ((op (e2) (e5)) = (e1)) ### Trans-sym 658 206 % 50.08/50.30 660. ((op (op (e2) (e2)) (e5)) != (op (e2) (op (e2) (e5)))) ((op (e3) (e5)) = (e4)) ((op (e2) (e5)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e2) (e2)) = (e3)) ### Trans 656 659 % 50.08/50.30 661. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 662. ((op (op (e2) (e3)) (e0)) != (op (e0) (e0))) ((op (e2) (e3)) = (e0)) ### NotEqual 661 188 % 50.08/50.30 663. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 664. ((op (e2) (op (e3) (e0))) != (op (e2) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 202 663 % 50.08/50.30 665. ((e0) != (op (e2) (op (e3) (e0)))) ((op (e2) (e3)) = (e0)) ((op (e3) (e0)) = (e3)) ### Trans-sym 664 188 % 50.08/50.30 666. ((op (op (e2) (e3)) (e0)) != (op (e2) (op (e3) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e2) (e3)) = (e0)) ### Trans 662 665 % 50.08/50.30 667. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 668. ((op (op (e2) (e3)) (e1)) != (op (e0) (e1))) ((op (e2) (e3)) = (e0)) ### NotEqual 667 192 % 50.08/50.30 669. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 670. ((op (e2) (op (e3) (e1))) != (op (e2) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 202 669 % 50.08/50.30 671. ((e1) != (op (e2) (op (e3) (e1)))) ((op (e2) (e5)) = (e1)) ((op (e3) (e1)) = (e5)) ### Trans-sym 670 192 % 50.08/50.30 672. ((op (op (e2) (e3)) (e1)) != (op (e2) (op (e3) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e2) (e5)) = (e1)) ((op (e2) (e3)) = (e0)) ### Trans 668 671 % 50.08/50.30 673. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 674. ((op (op (e2) (e3)) (e2)) != (op (e0) (e2))) ((op (e2) (e3)) = (e0)) ### NotEqual 673 202 % 50.08/50.30 675. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 676. ((op (e2) (op (e3) (e2))) != (op (e2) (e0))) ((op (e3) (e2)) = (e0)) ### NotEqual 202 675 % 50.08/50.30 677. ((e2) != (op (e2) (op (e3) (e2)))) ((op (e2) (e0)) = (e2)) ((op (e3) (e2)) = (e0)) ### Trans-sym 676 202 % 50.08/50.30 678. ((op (op (e2) (e3)) (e2)) != (op (e2) (op (e3) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e3) (e2)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e3)) = (e0)) ### Trans 674 677 % 50.08/50.30 679. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 680. ((op (op (e2) (e3)) (e3)) != (op (e0) (e3))) ((op (e2) (e3)) = (e0)) ### NotEqual 679 210 % 50.08/50.30 681. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 682. ((op (e2) (op (e3) (e3))) != (op (e2) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 202 681 % 50.08/50.30 683. ((e3) != (op (e2) (op (e3) (e3)))) ((op (e2) (e2)) = (e3)) ((op (e3) (e3)) = (e2)) ### Trans-sym 682 210 % 50.08/50.30 684. ((op (op (e2) (e3)) (e3)) != (op (e2) (op (e3) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e0)) ### Trans 680 683 % 50.08/50.30 685. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 686. ((op (op (e2) (e3)) (e4)) != (op (e0) (e4))) ((op (e2) (e3)) = (e0)) ### NotEqual 685 206 % 50.08/50.30 687. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 688. ((op (e2) (op (e3) (e4))) != (op (e2) (e1))) ((op (e3) (e4)) = (e1)) ### NotEqual 202 687 % 50.08/50.30 689. ((e4) != (op (e2) (op (e3) (e4)))) ((op (e2) (e1)) = (e4)) ((op (e3) (e4)) = (e1)) ### Trans-sym 688 206 % 50.08/50.30 690. ((op (op (e2) (e3)) (e4)) != (op (e2) (op (e3) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e3) (e4)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e2) (e3)) = (e0)) ### Trans 686 689 % 50.08/50.30 691. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 692. ((op (op (e2) (e3)) (e5)) != (op (e0) (e5))) ((op (e2) (e3)) = (e0)) ### NotEqual 691 214 % 50.08/50.30 693. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 694. ((op (e2) (op (e3) (e5))) != (op (e2) (e4))) ((op (e3) (e5)) = (e4)) ### NotEqual 202 693 % 50.08/50.30 695. ((e5) != (op (e2) (op (e3) (e5)))) ((op (e2) (e4)) = (e5)) ((op (e3) (e5)) = (e4)) ### Trans-sym 694 214 % 50.08/50.30 696. ((op (op (e2) (e3)) (e5)) != (op (e2) (op (e3) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e3) (e5)) = (e4)) ((op (e2) (e4)) = (e5)) ((op (e2) (e3)) = (e0)) ### Trans 692 695 % 50.08/50.30 697. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 698. ((op (op (e2) (e4)) (e0)) != (op (e5) (e0))) ((op (e2) (e4)) = (e5)) ### NotEqual 697 188 % 50.08/50.30 699. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 700. ((op (e2) (op (e4) (e0))) != (op (e2) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 202 699 % 50.08/50.30 701. ((e5) != (op (e2) (op (e4) (e0)))) ((op (e2) (e4)) = (e5)) ((op (e4) (e0)) = (e4)) ### Trans-sym 700 214 % 50.08/50.30 702. ((op (op (e2) (e4)) (e0)) != (op (e2) (op (e4) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e4) (e0)) = (e4)) ((op (e2) (e4)) = (e5)) ### Trans 698 701 % 50.08/50.30 703. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 704. ((op (op (e2) (e4)) (e1)) != (op (e5) (e1))) ((op (e2) (e4)) = (e5)) ### NotEqual 703 192 % 50.08/50.30 705. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.08/50.30 706. ((op (e2) (op (e4) (e1))) != (op (e2) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 202 705 % 50.08/50.30 707. ((e3) != (op (e2) (op (e4) (e1)))) ((op (e2) (e2)) = (e3)) ((op (e4) (e1)) = (e2)) ### Trans-sym 706 210 % 50.08/50.30 708. ((op (op (e2) (e4)) (e1)) != (op (e2) (op (e4) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e4) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e4)) = (e5)) ### Trans 704 707 % 50.08/50.30 709. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 710. ((op (op (e2) (e4)) (e2)) != (op (e5) (e2))) ((op (e2) (e4)) = (e5)) ### NotEqual 709 202 % 50.08/50.30 711. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.08/50.30 712. ((op (e2) (op (e4) (e2))) != (op (e2) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 202 711 % 50.08/50.30 713. ((e1) != (op (e2) (op (e4) (e2)))) ((op (e2) (e5)) = (e1)) ((op (e4) (e2)) = (e5)) ### Trans-sym 712 192 % 50.08/50.30 714. ((op (op (e2) (e4)) (e2)) != (op (e2) (op (e4) (e2)))) ((op (e5) (e2)) = (e1)) ((op (e4) (e2)) = (e5)) ((op (e2) (e5)) = (e1)) ((op (e2) (e4)) = (e5)) ### Trans 710 713 % 50.08/50.30 715. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 716. ((op (op (e2) (e4)) (e3)) != (op (e5) (e3))) ((op (e2) (e4)) = (e5)) ### NotEqual 715 210 % 50.08/50.30 717. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.08/50.30 718. ((op (e2) (op (e4) (e3))) != (op (e2) (e1))) ((op (e4) (e3)) = (e1)) ### NotEqual 202 717 % 50.08/50.30 719. ((e4) != (op (e2) (op (e4) (e3)))) ((op (e2) (e1)) = (e4)) ((op (e4) (e3)) = (e1)) ### Trans-sym 718 206 % 50.08/50.30 720. ((op (op (e2) (e4)) (e3)) != (op (e2) (op (e4) (e3)))) ((op (e5) (e3)) = (e4)) ((op (e4) (e3)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e2) (e4)) = (e5)) ### Trans 716 719 % 50.08/50.30 721. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 722. ((op (op (e2) (e4)) (e4)) != (op (e5) (e4))) ((op (e2) (e4)) = (e5)) ### NotEqual 721 206 % 50.08/50.30 723. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.08/50.30 724. ((op (e2) (op (e4) (e4))) != (op (e2) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 202 723 % 50.08/50.30 725. ((e0) != (op (e2) (op (e4) (e4)))) ((op (e2) (e3)) = (e0)) ((op (e4) (e4)) = (e3)) ### Trans-sym 724 188 % 50.08/50.30 726. ((op (op (e2) (e4)) (e4)) != (op (e2) (op (e4) (e4)))) ((op (e5) (e4)) = (e0)) ((op (e4) (e4)) = (e3)) ((op (e2) (e3)) = (e0)) ((op (e2) (e4)) = (e5)) ### Trans 722 725 % 50.08/50.30 727. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 728. ((op (op (e2) (e4)) (e5)) != (op (e5) (e5))) ((op (e2) (e4)) = (e5)) ### NotEqual 727 214 % 50.08/50.30 729. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.08/50.30 730. ((op (e2) (op (e4) (e5))) != (op (e2) (e0))) ((op (e4) (e5)) = (e0)) ### NotEqual 202 729 % 50.08/50.30 731. ((e2) != (op (e2) (op (e4) (e5)))) ((op (e2) (e0)) = (e2)) ((op (e4) (e5)) = (e0)) ### Trans-sym 730 202 % 50.08/50.30 732. ((op (op (e2) (e4)) (e5)) != (op (e2) (op (e4) (e5)))) ((op (e5) (e5)) = (e2)) ((op (e4) (e5)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e4)) = (e5)) ### Trans 728 731 % 50.08/50.30 733. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 734. ((op (op (e2) (e5)) (e0)) != (op (e1) (e0))) ((op (e2) (e5)) = (e1)) ### NotEqual 733 188 % 50.08/50.30 735. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.08/50.30 736. ((op (e2) (op (e5) (e0))) != (op (e2) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 202 735 % 50.08/50.30 737. ((e1) != (op (e2) (op (e5) (e0)))) ((op (e2) (e5)) = (e1)) ((op (e5) (e0)) = (e5)) ### Trans-sym 736 192 % 50.08/50.30 738. ((op (op (e2) (e5)) (e0)) != (op (e2) (op (e5) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e5) (e0)) = (e5)) ((op (e2) (e5)) = (e1)) ### Trans 734 737 % 50.08/50.30 739. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 740. ((op (op (e2) (e5)) (e1)) != (op (e1) (e1))) ((op (e2) (e5)) = (e1)) ### NotEqual 739 192 % 50.08/50.30 741. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.08/50.30 742. ((op (e2) (op (e5) (e1))) != (op (e2) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 202 741 % 50.08/50.30 743. ((e0) != (op (e2) (op (e5) (e1)))) ((op (e2) (e3)) = (e0)) ((op (e5) (e1)) = (e3)) ### Trans-sym 742 188 % 50.08/50.30 744. ((op (op (e2) (e5)) (e1)) != (op (e2) (op (e5) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e5) (e1)) = (e3)) ((op (e2) (e3)) = (e0)) ((op (e2) (e5)) = (e1)) ### Trans 740 743 % 50.08/50.30 745. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 746. ((op (op (e2) (e5)) (e2)) != (op (e1) (e2))) ((op (e2) (e5)) = (e1)) ### NotEqual 745 202 % 50.08/50.30 747. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.08/50.30 748. ((op (e2) (op (e5) (e2))) != (op (e2) (e1))) ((op (e5) (e2)) = (e1)) ### NotEqual 202 747 % 50.08/50.30 749. ((e4) != (op (e2) (op (e5) (e2)))) ((op (e2) (e1)) = (e4)) ((op (e5) (e2)) = (e1)) ### Trans-sym 748 206 % 50.08/50.30 750. ((op (op (e2) (e5)) (e2)) != (op (e2) (op (e5) (e2)))) ((op (e1) (e2)) = (e4)) ((op (e5) (e2)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e2) (e5)) = (e1)) ### Trans 746 749 % 50.08/50.30 751. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 752. ((op (op (e2) (e5)) (e3)) != (op (e1) (e3))) ((op (e2) (e5)) = (e1)) ### NotEqual 751 210 % 50.08/50.30 753. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.08/50.30 754. ((op (e2) (op (e5) (e3))) != (op (e2) (e4))) ((op (e5) (e3)) = (e4)) ### NotEqual 202 753 % 50.08/50.30 755. ((e5) != (op (e2) (op (e5) (e3)))) ((op (e2) (e4)) = (e5)) ((op (e5) (e3)) = (e4)) ### Trans-sym 754 214 % 50.08/50.30 756. ((op (op (e2) (e5)) (e3)) != (op (e2) (op (e5) (e3)))) ((op (e1) (e3)) = (e5)) ((op (e5) (e3)) = (e4)) ((op (e2) (e4)) = (e5)) ((op (e2) (e5)) = (e1)) ### Trans 752 755 % 50.08/50.30 757. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 758. ((op (op (e2) (e5)) (e4)) != (op (e1) (e4))) ((op (e2) (e5)) = (e1)) ### NotEqual 757 206 % 50.08/50.30 759. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.08/50.30 760. ((op (e2) (op (e5) (e4))) != (op (e2) (e0))) ((op (e5) (e4)) = (e0)) ### NotEqual 202 759 % 50.08/50.30 761. ((e2) != (op (e2) (op (e5) (e4)))) ((op (e2) (e0)) = (e2)) ((op (e5) (e4)) = (e0)) ### Trans-sym 760 202 % 50.08/50.30 762. ((op (op (e2) (e5)) (e4)) != (op (e2) (op (e5) (e4)))) ((op (e1) (e4)) = (e2)) ((op (e5) (e4)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e2) (e5)) = (e1)) ### Trans 758 761 % 50.08/50.30 763. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 764. ((op (op (e2) (e5)) (e5)) != (op (e1) (e5))) ((op (e2) (e5)) = (e1)) ### NotEqual 763 214 % 50.08/50.30 765. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.08/50.30 766. ((op (e2) (op (e5) (e5))) != (op (e2) (e2))) ((op (e5) (e5)) = (e2)) ### NotEqual 202 765 % 50.08/50.30 767. ((e3) != (op (e2) (op (e5) (e5)))) ((op (e2) (e2)) = (e3)) ((op (e5) (e5)) = (e2)) ### Trans-sym 766 210 % 50.08/50.30 768. ((op (op (e2) (e5)) (e5)) != (op (e2) (op (e5) (e5)))) ((op (e1) (e5)) = (e3)) ((op (e5) (e5)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e5)) = (e1)) ### Trans 764 767 % 50.08/50.30 769. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 770. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 50.08/50.30 771. ((op (op (e3) (e0)) (e0)) != (op (e3) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e3)) ### NotEqual 769 770 % 50.08/50.30 772. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 773. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 50.08/50.30 774. ((op (op (e3) (e0)) (e1)) != (op (e3) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e3) (e0)) = (e3)) ### NotEqual 772 773 % 50.08/50.30 775. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 776. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 50.08/50.30 777. ((op (op (e3) (e0)) (e2)) != (op (e3) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e3) (e0)) = (e3)) ### NotEqual 775 776 % 50.08/50.30 778. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 779. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 50.08/50.30 780. ((op (op (e3) (e0)) (e3)) != (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e3) (e0)) = (e3)) ### NotEqual 778 779 % 50.08/50.30 781. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 782. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 50.08/50.30 783. ((op (op (e3) (e0)) (e4)) != (op (e3) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e3) (e0)) = (e3)) ### NotEqual 781 782 % 50.08/50.30 784. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 785. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 50.08/50.30 786. ((op (op (e3) (e0)) (e5)) != (op (e3) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e3) (e0)) = (e3)) ### NotEqual 784 785 % 50.08/50.30 787. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 788. ((op (op (e3) (e1)) (e0)) != (op (e5) (e0))) ((op (e3) (e1)) = (e5)) ### NotEqual 787 188 % 50.08/50.30 789. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 790. ((op (e3) (op (e1) (e0))) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 210 789 % 50.08/50.30 791. ((e5) != (op (e3) (op (e1) (e0)))) ((op (e3) (e1)) = (e5)) ((op (e1) (e0)) = (e1)) ### Trans-sym 790 214 % 50.08/50.30 792. ((op (op (e3) (e1)) (e0)) != (op (e3) (op (e1) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e1) (e0)) = (e1)) ((op (e3) (e1)) = (e5)) ### Trans 788 791 % 50.08/50.30 793. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 794. ((op (op (e3) (e1)) (e1)) != (op (e5) (e1))) ((op (e3) (e1)) = (e5)) ### NotEqual 793 192 % 50.08/50.30 795. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.08/50.30 796. ((op (e3) (op (e1) (e1))) != (op (e3) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 210 795 % 50.08/50.30 797. ((e3) != (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 796 210 % 50.08/50.30 798. ((op (op (e3) (e1)) (e1)) != (op (e3) (op (e1) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e1)) = (e5)) ### Trans 794 797 % 50.08/50.30 799. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 800. ((op (op (e3) (e1)) (e2)) != (op (e5) (e2))) ((op (e3) (e1)) = (e5)) ### NotEqual 799 202 % 50.08/50.30 801. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.08/50.30 802. ((op (e3) (op (e1) (e2))) != (op (e3) (e4))) ((op (e1) (e2)) = (e4)) ### NotEqual 210 801 % 50.08/50.30 803. ((e1) != (op (e3) (op (e1) (e2)))) ((op (e3) (e4)) = (e1)) ((op (e1) (e2)) = (e4)) ### Trans-sym 802 192 % 50.08/50.30 804. ((op (op (e3) (e1)) (e2)) != (op (e3) (op (e1) (e2)))) ((op (e5) (e2)) = (e1)) ((op (e1) (e2)) = (e4)) ((op (e3) (e4)) = (e1)) ((op (e3) (e1)) = (e5)) ### Trans 800 803 % 50.08/50.30 805. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 806. ((op (op (e3) (e1)) (e3)) != (op (e5) (e3))) ((op (e3) (e1)) = (e5)) ### NotEqual 805 210 % 50.08/50.30 807. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.08/50.30 808. ((op (e3) (op (e1) (e3))) != (op (e3) (e5))) ((op (e1) (e3)) = (e5)) ### NotEqual 210 807 % 50.08/50.30 809. ((e4) != (op (e3) (op (e1) (e3)))) ((op (e3) (e5)) = (e4)) ((op (e1) (e3)) = (e5)) ### Trans-sym 808 206 % 50.08/50.30 810. ((op (op (e3) (e1)) (e3)) != (op (e3) (op (e1) (e3)))) ((op (e5) (e3)) = (e4)) ((op (e1) (e3)) = (e5)) ((op (e3) (e5)) = (e4)) ((op (e3) (e1)) = (e5)) ### Trans 806 809 % 50.08/50.30 811. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 812. ((op (op (e3) (e1)) (e4)) != (op (e5) (e4))) ((op (e3) (e1)) = (e5)) ### NotEqual 811 206 % 50.08/50.30 813. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.08/50.30 814. ((op (e3) (op (e1) (e4))) != (op (e3) (e2))) ((op (e1) (e4)) = (e2)) ### NotEqual 210 813 % 50.08/50.30 815. ((e0) != (op (e3) (op (e1) (e4)))) ((op (e3) (e2)) = (e0)) ((op (e1) (e4)) = (e2)) ### Trans-sym 814 188 % 50.08/50.30 816. ((op (op (e3) (e1)) (e4)) != (op (e3) (op (e1) (e4)))) ((op (e5) (e4)) = (e0)) ((op (e1) (e4)) = (e2)) ((op (e3) (e2)) = (e0)) ((op (e3) (e1)) = (e5)) ### Trans 812 815 % 50.08/50.30 817. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 818. ((op (op (e3) (e1)) (e5)) != (op (e5) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 817 214 % 50.08/50.30 819. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.08/50.30 820. ((op (e3) (op (e1) (e5))) != (op (e3) (e3))) ((op (e1) (e5)) = (e3)) ### NotEqual 210 819 % 50.08/50.30 821. ((e2) != (op (e3) (op (e1) (e5)))) ((op (e3) (e3)) = (e2)) ((op (e1) (e5)) = (e3)) ### Trans-sym 820 202 % 50.08/50.30 822. ((op (op (e3) (e1)) (e5)) != (op (e3) (op (e1) (e5)))) ((op (e5) (e5)) = (e2)) ((op (e1) (e5)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e3) (e1)) = (e5)) ### Trans 818 821 % 50.08/50.30 823. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 824. ((op (op (e3) (e2)) (e0)) != (op (e0) (e0))) ((op (e3) (e2)) = (e0)) ### NotEqual 823 188 % 50.08/50.30 825. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.08/50.30 826. ((op (e3) (op (e2) (e0))) != (op (e3) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 210 825 % 50.08/50.30 827. ((e0) != (op (e3) (op (e2) (e0)))) ((op (e3) (e2)) = (e0)) ((op (e2) (e0)) = (e2)) ### Trans-sym 826 188 % 50.08/50.30 828. ((op (op (e3) (e2)) (e0)) != (op (e3) (op (e2) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e3) (e2)) = (e0)) ### Trans 824 827 % 50.08/50.30 829. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 830. ((op (op (e3) (e2)) (e1)) != (op (e0) (e1))) ((op (e3) (e2)) = (e0)) ### NotEqual 829 192 % 50.08/50.30 831. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.08/50.30 832. ((op (e3) (op (e2) (e1))) != (op (e3) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 210 831 % 50.08/50.30 833. ((e1) != (op (e3) (op (e2) (e1)))) ((op (e3) (e4)) = (e1)) ((op (e2) (e1)) = (e4)) ### Trans-sym 832 192 % 50.08/50.30 834. ((op (op (e3) (e2)) (e1)) != (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e3) (e4)) = (e1)) ((op (e3) (e2)) = (e0)) ### Trans 830 833 % 50.08/50.30 835. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 836. ((op (op (e3) (e2)) (e2)) != (op (e0) (e2))) ((op (e3) (e2)) = (e0)) ### NotEqual 835 202 % 50.08/50.30 837. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.08/50.30 838. ((op (e3) (op (e2) (e2))) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 210 837 % 50.08/50.30 839. ((e2) != (op (e3) (op (e2) (e2)))) ((op (e3) (e3)) = (e2)) ((op (e2) (e2)) = (e3)) ### Trans-sym 838 202 % 50.08/50.30 840. ((op (op (e3) (e2)) (e2)) != (op (e3) (op (e2) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) = (e0)) ### Trans 836 839 % 50.08/50.30 841. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 842. ((op (op (e3) (e2)) (e3)) != (op (e0) (e3))) ((op (e3) (e2)) = (e0)) ### NotEqual 841 210 % 50.08/50.30 843. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.08/50.30 844. ((op (e3) (op (e2) (e3))) != (op (e3) (e0))) ((op (e2) (e3)) = (e0)) ### NotEqual 210 843 % 50.08/50.30 845. ((e3) != (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) = (e3)) ((op (e2) (e3)) = (e0)) ### Trans-sym 844 210 % 50.08/50.30 846. ((op (op (e3) (e2)) (e3)) != (op (e3) (op (e2) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e2) (e3)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e2)) = (e0)) ### Trans 842 845 % 50.08/50.30 847. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 848. ((op (op (e3) (e2)) (e4)) != (op (e0) (e4))) ((op (e3) (e2)) = (e0)) ### NotEqual 847 206 % 50.08/50.30 849. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.08/50.30 850. ((op (e3) (op (e2) (e4))) != (op (e3) (e5))) ((op (e2) (e4)) = (e5)) ### NotEqual 210 849 % 50.08/50.30 851. ((e4) != (op (e3) (op (e2) (e4)))) ((op (e3) (e5)) = (e4)) ((op (e2) (e4)) = (e5)) ### Trans-sym 850 206 % 50.08/50.30 852. ((op (op (e3) (e2)) (e4)) != (op (e3) (op (e2) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e2) (e4)) = (e5)) ((op (e3) (e5)) = (e4)) ((op (e3) (e2)) = (e0)) ### Trans 848 851 % 50.08/50.30 853. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 854. ((op (op (e3) (e2)) (e5)) != (op (e0) (e5))) ((op (e3) (e2)) = (e0)) ### NotEqual 853 214 % 50.08/50.30 855. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.08/50.30 856. ((op (e3) (op (e2) (e5))) != (op (e3) (e1))) ((op (e2) (e5)) = (e1)) ### NotEqual 210 855 % 50.08/50.30 857. ((e5) != (op (e3) (op (e2) (e5)))) ((op (e3) (e1)) = (e5)) ((op (e2) (e5)) = (e1)) ### Trans-sym 856 214 % 50.08/50.30 858. ((op (op (e3) (e2)) (e5)) != (op (e3) (op (e2) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e2) (e5)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e3) (e2)) = (e0)) ### Trans 854 857 % 50.08/50.30 859. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 860. ((op (op (e3) (e3)) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) = (e2)) ### NotEqual 859 188 % 50.08/50.30 861. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.08/50.30 862. ((op (e3) (op (e3) (e0))) != (op (e3) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 210 861 % 50.08/50.30 863. ((e2) != (op (e3) (op (e3) (e0)))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) = (e3)) ### Trans-sym 862 202 % 50.08/50.30 864. ((op (op (e3) (e3)) (e0)) != (op (e3) (op (e3) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e3)) ((op (e3) (e3)) = (e2)) ### Trans 860 863 % 50.08/50.30 865. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 866. ((op (op (e3) (e3)) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) = (e2)) ### NotEqual 865 192 % 50.08/50.30 867. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.08/50.30 868. ((op (e3) (op (e3) (e1))) != (op (e3) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 210 867 % 50.08/50.30 869. ((e4) != (op (e3) (op (e3) (e1)))) ((op (e3) (e5)) = (e4)) ((op (e3) (e1)) = (e5)) ### Trans-sym 868 206 % 50.08/50.30 870. ((op (op (e3) (e3)) (e1)) != (op (e3) (op (e3) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e3) (e1)) = (e5)) ((op (e3) (e5)) = (e4)) ((op (e3) (e3)) = (e2)) ### Trans 866 869 % 50.08/50.30 871. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 872. ((op (op (e3) (e3)) (e2)) != (op (e2) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 871 202 % 50.08/50.30 873. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.08/50.30 874. ((op (e3) (op (e3) (e2))) != (op (e3) (e0))) ((op (e3) (e2)) = (e0)) ### NotEqual 210 873 % 50.08/50.30 875. ((e3) != (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) = (e3)) ((op (e3) (e2)) = (e0)) ### Trans-sym 874 210 % 50.08/50.30 876. ((op (op (e3) (e3)) (e2)) != (op (e3) (op (e3) (e2)))) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e3)) = (e2)) ### Trans 872 875 % 50.08/50.30 877. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 878. ((op (op (e3) (e3)) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e2)) ### NotEqual 877 210 % 50.08/50.30 879. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 880. ((op (e3) (op (e3) (e3))) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 210 879 % 50.08/50.30 881. ((e0) != (op (e3) (op (e3) (e3)))) ((op (e3) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### Trans-sym 880 188 % 50.08/50.30 882. ((op (op (e3) (e3)) (e3)) != (op (e3) (op (e3) (e3)))) ((op (e2) (e3)) = (e0)) ((op (e3) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) ### Trans 878 881 % 50.08/50.30 883. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 884. ((op (op (e3) (e3)) (e4)) != (op (e2) (e4))) ((op (e3) (e3)) = (e2)) ### NotEqual 883 206 % 50.08/50.30 885. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 886. ((op (e3) (op (e3) (e4))) != (op (e3) (e1))) ((op (e3) (e4)) = (e1)) ### NotEqual 210 885 % 50.08/50.30 887. ((e5) != (op (e3) (op (e3) (e4)))) ((op (e3) (e1)) = (e5)) ((op (e3) (e4)) = (e1)) ### Trans-sym 886 214 % 50.08/50.30 888. ((op (op (e3) (e3)) (e4)) != (op (e3) (op (e3) (e4)))) ((op (e2) (e4)) = (e5)) ((op (e3) (e4)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e3) (e3)) = (e2)) ### Trans 884 887 % 50.08/50.30 889. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.08/50.30 890. ((op (op (e3) (e3)) (e5)) != (op (e2) (e5))) ((op (e3) (e3)) = (e2)) ### NotEqual 889 214 % 50.08/50.30 891. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 892. ((op (e3) (op (e3) (e5))) != (op (e3) (e4))) ((op (e3) (e5)) = (e4)) ### NotEqual 210 891 % 50.08/50.30 893. ((e1) != (op (e3) (op (e3) (e5)))) ((op (e3) (e4)) = (e1)) ((op (e3) (e5)) = (e4)) ### Trans-sym 892 192 % 50.08/50.30 894. ((op (op (e3) (e3)) (e5)) != (op (e3) (op (e3) (e5)))) ((op (e2) (e5)) = (e1)) ((op (e3) (e5)) = (e4)) ((op (e3) (e4)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans 890 893 % 50.08/50.30 895. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 896. ((op (op (e3) (e4)) (e0)) != (op (e1) (e0))) ((op (e3) (e4)) = (e1)) ### NotEqual 895 188 % 50.08/50.30 897. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 898. ((op (e3) (op (e4) (e0))) != (op (e3) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 210 897 % 50.08/50.30 899. ((e1) != (op (e3) (op (e4) (e0)))) ((op (e3) (e4)) = (e1)) ((op (e4) (e0)) = (e4)) ### Trans-sym 898 192 % 50.08/50.30 900. ((op (op (e3) (e4)) (e0)) != (op (e3) (op (e4) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e4) (e0)) = (e4)) ((op (e3) (e4)) = (e1)) ### Trans 896 899 % 50.08/50.30 901. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 902. ((op (op (e3) (e4)) (e1)) != (op (e1) (e1))) ((op (e3) (e4)) = (e1)) ### NotEqual 901 192 % 50.08/50.30 903. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.08/50.30 904. ((op (e3) (op (e4) (e1))) != (op (e3) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 210 903 % 50.08/50.30 905. ((e0) != (op (e3) (op (e4) (e1)))) ((op (e3) (e2)) = (e0)) ((op (e4) (e1)) = (e2)) ### Trans-sym 904 188 % 50.08/50.30 906. ((op (op (e3) (e4)) (e1)) != (op (e3) (op (e4) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e4) (e1)) = (e2)) ((op (e3) (e2)) = (e0)) ((op (e3) (e4)) = (e1)) ### Trans 902 905 % 50.08/50.30 907. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 908. ((op (op (e3) (e4)) (e2)) != (op (e1) (e2))) ((op (e3) (e4)) = (e1)) ### NotEqual 907 202 % 50.08/50.30 909. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.08/50.30 910. ((op (e3) (op (e4) (e2))) != (op (e3) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 210 909 % 50.08/50.30 911. ((e4) != (op (e3) (op (e4) (e2)))) ((op (e3) (e5)) = (e4)) ((op (e4) (e2)) = (e5)) ### Trans-sym 910 206 % 50.08/50.30 912. ((op (op (e3) (e4)) (e2)) != (op (e3) (op (e4) (e2)))) ((op (e1) (e2)) = (e4)) ((op (e4) (e2)) = (e5)) ((op (e3) (e5)) = (e4)) ((op (e3) (e4)) = (e1)) ### Trans 908 911 % 50.08/50.30 913. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 914. ((op (op (e3) (e4)) (e3)) != (op (e1) (e3))) ((op (e3) (e4)) = (e1)) ### NotEqual 913 210 % 50.08/50.30 915. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.08/50.30 916. ((op (e3) (op (e4) (e3))) != (op (e3) (e1))) ((op (e4) (e3)) = (e1)) ### NotEqual 210 915 % 50.08/50.30 917. ((e5) != (op (e3) (op (e4) (e3)))) ((op (e3) (e1)) = (e5)) ((op (e4) (e3)) = (e1)) ### Trans-sym 916 214 % 50.08/50.30 918. ((op (op (e3) (e4)) (e3)) != (op (e3) (op (e4) (e3)))) ((op (e1) (e3)) = (e5)) ((op (e4) (e3)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e3) (e4)) = (e1)) ### Trans 914 917 % 50.08/50.30 919. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 920. ((op (op (e3) (e4)) (e4)) != (op (e1) (e4))) ((op (e3) (e4)) = (e1)) ### NotEqual 919 206 % 50.08/50.30 921. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.08/50.30 922. ((op (e3) (op (e4) (e4))) != (op (e3) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 210 921 % 50.08/50.30 923. ((e2) != (op (e3) (op (e4) (e4)))) ((op (e3) (e3)) = (e2)) ((op (e4) (e4)) = (e3)) ### Trans-sym 922 202 % 50.08/50.30 924. ((op (op (e3) (e4)) (e4)) != (op (e3) (op (e4) (e4)))) ((op (e1) (e4)) = (e2)) ((op (e4) (e4)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e3) (e4)) = (e1)) ### Trans 920 923 % 50.08/50.30 925. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.08/50.30 926. ((op (op (e3) (e4)) (e5)) != (op (e1) (e5))) ((op (e3) (e4)) = (e1)) ### NotEqual 925 214 % 50.08/50.30 927. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.08/50.30 928. ((op (e3) (op (e4) (e5))) != (op (e3) (e0))) ((op (e4) (e5)) = (e0)) ### NotEqual 210 927 % 50.08/50.30 929. ((e3) != (op (e3) (op (e4) (e5)))) ((op (e3) (e0)) = (e3)) ((op (e4) (e5)) = (e0)) ### Trans-sym 928 210 % 50.08/50.30 930. ((op (op (e3) (e4)) (e5)) != (op (e3) (op (e4) (e5)))) ((op (e1) (e5)) = (e3)) ((op (e4) (e5)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e4)) = (e1)) ### Trans 926 929 % 50.08/50.30 931. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 932. ((op (op (e3) (e5)) (e0)) != (op (e4) (e0))) ((op (e3) (e5)) = (e4)) ### NotEqual 931 188 % 50.08/50.30 933. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.08/50.30 934. ((op (e3) (op (e5) (e0))) != (op (e3) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 210 933 % 50.08/50.30 935. ((e4) != (op (e3) (op (e5) (e0)))) ((op (e3) (e5)) = (e4)) ((op (e5) (e0)) = (e5)) ### Trans-sym 934 206 % 50.08/50.30 936. ((op (op (e3) (e5)) (e0)) != (op (e3) (op (e5) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e5) (e0)) = (e5)) ((op (e3) (e5)) = (e4)) ### Trans 932 935 % 50.08/50.30 937. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 938. ((op (op (e3) (e5)) (e1)) != (op (e4) (e1))) ((op (e3) (e5)) = (e4)) ### NotEqual 937 192 % 50.08/50.30 939. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.08/50.30 940. ((op (e3) (op (e5) (e1))) != (op (e3) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 210 939 % 50.08/50.30 941. ((e2) != (op (e3) (op (e5) (e1)))) ((op (e3) (e3)) = (e2)) ((op (e5) (e1)) = (e3)) ### Trans-sym 940 202 % 50.08/50.30 942. ((op (op (e3) (e5)) (e1)) != (op (e3) (op (e5) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e5) (e1)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e3) (e5)) = (e4)) ### Trans 938 941 % 50.08/50.30 943. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 944. ((op (op (e3) (e5)) (e2)) != (op (e4) (e2))) ((op (e3) (e5)) = (e4)) ### NotEqual 943 202 % 50.08/50.30 945. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.08/50.30 946. ((op (e3) (op (e5) (e2))) != (op (e3) (e1))) ((op (e5) (e2)) = (e1)) ### NotEqual 210 945 % 50.08/50.30 947. ((e5) != (op (e3) (op (e5) (e2)))) ((op (e3) (e1)) = (e5)) ((op (e5) (e2)) = (e1)) ### Trans-sym 946 214 % 50.08/50.30 948. ((op (op (e3) (e5)) (e2)) != (op (e3) (op (e5) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e5) (e2)) = (e1)) ((op (e3) (e1)) = (e5)) ((op (e3) (e5)) = (e4)) ### Trans 944 947 % 50.08/50.30 949. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 950. ((op (op (e3) (e5)) (e3)) != (op (e4) (e3))) ((op (e3) (e5)) = (e4)) ### NotEqual 949 210 % 50.08/50.30 951. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.08/50.30 952. ((op (e3) (op (e5) (e3))) != (op (e3) (e4))) ((op (e5) (e3)) = (e4)) ### NotEqual 210 951 % 50.08/50.30 953. ((e1) != (op (e3) (op (e5) (e3)))) ((op (e3) (e4)) = (e1)) ((op (e5) (e3)) = (e4)) ### Trans-sym 952 192 % 50.08/50.30 954. ((op (op (e3) (e5)) (e3)) != (op (e3) (op (e5) (e3)))) ((op (e4) (e3)) = (e1)) ((op (e5) (e3)) = (e4)) ((op (e3) (e4)) = (e1)) ((op (e3) (e5)) = (e4)) ### Trans 950 953 % 50.08/50.30 955. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 956. ((op (op (e3) (e5)) (e4)) != (op (e4) (e4))) ((op (e3) (e5)) = (e4)) ### NotEqual 955 206 % 50.08/50.30 957. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.08/50.30 958. ((op (e3) (op (e5) (e4))) != (op (e3) (e0))) ((op (e5) (e4)) = (e0)) ### NotEqual 210 957 % 50.08/50.30 959. ((e3) != (op (e3) (op (e5) (e4)))) ((op (e3) (e0)) = (e3)) ((op (e5) (e4)) = (e0)) ### Trans-sym 958 210 % 50.08/50.30 960. ((op (op (e3) (e5)) (e4)) != (op (e3) (op (e5) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e5) (e4)) = (e0)) ((op (e3) (e0)) = (e3)) ((op (e3) (e5)) = (e4)) ### Trans 956 959 % 50.08/50.30 961. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.08/50.30 962. ((op (op (e3) (e5)) (e5)) != (op (e4) (e5))) ((op (e3) (e5)) = (e4)) ### NotEqual 961 214 % 50.08/50.30 963. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.08/50.30 964. ((op (e3) (op (e5) (e5))) != (op (e3) (e2))) ((op (e5) (e5)) = (e2)) ### NotEqual 210 963 % 50.08/50.30 965. ((e0) != (op (e3) (op (e5) (e5)))) ((op (e3) (e2)) = (e0)) ((op (e5) (e5)) = (e2)) ### Trans-sym 964 188 % 50.08/50.30 966. ((op (op (e3) (e5)) (e5)) != (op (e3) (op (e5) (e5)))) ((op (e4) (e5)) = (e0)) ((op (e5) (e5)) = (e2)) ((op (e3) (e2)) = (e0)) ((op (e3) (e5)) = (e4)) ### Trans 962 965 % 50.08/50.30 967. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 968. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 50.08/50.30 969. ((op (op (e4) (e0)) (e0)) != (op (e4) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e4) (e0)) = (e4)) ### NotEqual 967 968 % 50.08/50.30 970. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 971. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 50.08/50.30 972. ((op (op (e4) (e0)) (e1)) != (op (e4) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e4) (e0)) = (e4)) ### NotEqual 970 971 % 50.08/50.30 973. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 974. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 50.08/50.30 975. ((op (op (e4) (e0)) (e2)) != (op (e4) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e4) (e0)) = (e4)) ### NotEqual 973 974 % 50.08/50.30 976. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 977. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 50.08/50.30 978. ((op (op (e4) (e0)) (e3)) != (op (e4) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e4) (e0)) = (e4)) ### NotEqual 976 977 % 50.08/50.30 979. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 980. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 50.08/50.30 981. ((op (op (e4) (e0)) (e4)) != (op (e4) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e4) (e0)) = (e4)) ### NotEqual 979 980 % 50.08/50.30 982. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.08/50.30 983. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 50.08/50.30 984. ((op (op (e4) (e0)) (e5)) != (op (e4) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e4) (e0)) = (e4)) ### NotEqual 982 983 % 50.08/50.30 985. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.08/50.30 986. ((op (op (e4) (e1)) (e0)) != (op (e2) (e0))) ((op (e4) (e1)) = (e2)) ### NotEqual 985 188 % 50.08/50.30 987. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.08/50.30 988. ((op (e4) (op (e1) (e0))) != (op (e4) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 206 987 % 50.14/50.30 989. ((e2) != (op (e4) (op (e1) (e0)))) ((op (e4) (e1)) = (e2)) ((op (e1) (e0)) = (e1)) ### Trans-sym 988 202 % 50.14/50.30 990. ((op (op (e4) (e1)) (e0)) != (op (e4) (op (e1) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) = (e1)) ((op (e4) (e1)) = (e2)) ### Trans 986 989 % 50.14/50.30 991. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.14/50.30 992. ((op (op (e4) (e1)) (e1)) != (op (e2) (e1))) ((op (e4) (e1)) = (e2)) ### NotEqual 991 192 % 50.14/50.30 993. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.14/50.30 994. ((op (e4) (op (e1) (e1))) != (op (e4) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 206 993 % 50.14/50.30 995. ((e4) != (op (e4) (op (e1) (e1)))) ((op (e4) (e0)) = (e4)) ((op (e1) (e1)) = (e0)) ### Trans-sym 994 206 % 50.14/50.30 996. ((op (op (e4) (e1)) (e1)) != (op (e4) (op (e1) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e1) (e1)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e1)) = (e2)) ### Trans 992 995 % 50.14/50.30 997. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.14/50.30 998. ((op (op (e4) (e1)) (e2)) != (op (e2) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 997 202 % 50.14/50.30 999. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.14/50.30 1000. ((op (e4) (op (e1) (e2))) != (op (e4) (e4))) ((op (e1) (e2)) = (e4)) ### NotEqual 206 999 % 50.14/50.30 1001. ((e3) != (op (e4) (op (e1) (e2)))) ((op (e4) (e4)) = (e3)) ((op (e1) (e2)) = (e4)) ### Trans-sym 1000 210 % 50.14/50.30 1002. ((op (op (e4) (e1)) (e2)) != (op (e4) (op (e1) (e2)))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e4) (e1)) = (e2)) ### Trans 998 1001 % 50.14/50.30 1003. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.14/50.30 1004. ((op (op (e4) (e1)) (e3)) != (op (e2) (e3))) ((op (e4) (e1)) = (e2)) ### NotEqual 1003 210 % 50.14/50.30 1005. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.14/50.30 1006. ((op (e4) (op (e1) (e3))) != (op (e4) (e5))) ((op (e1) (e3)) = (e5)) ### NotEqual 206 1005 % 50.14/50.30 1007. ((e0) != (op (e4) (op (e1) (e3)))) ((op (e4) (e5)) = (e0)) ((op (e1) (e3)) = (e5)) ### Trans-sym 1006 188 % 50.14/50.30 1008. ((op (op (e4) (e1)) (e3)) != (op (e4) (op (e1) (e3)))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) = (e5)) ((op (e4) (e5)) = (e0)) ((op (e4) (e1)) = (e2)) ### Trans 1004 1007 % 50.14/50.30 1009. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.14/50.30 1010. ((op (op (e4) (e1)) (e4)) != (op (e2) (e4))) ((op (e4) (e1)) = (e2)) ### NotEqual 1009 206 % 50.14/50.30 1011. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.14/50.30 1012. ((op (e4) (op (e1) (e4))) != (op (e4) (e2))) ((op (e1) (e4)) = (e2)) ### NotEqual 206 1011 % 50.14/50.30 1013. ((e5) != (op (e4) (op (e1) (e4)))) ((op (e4) (e2)) = (e5)) ((op (e1) (e4)) = (e2)) ### Trans-sym 1012 214 % 50.14/50.30 1014. ((op (op (e4) (e1)) (e4)) != (op (e4) (op (e1) (e4)))) ((op (e2) (e4)) = (e5)) ((op (e1) (e4)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e4) (e1)) = (e2)) ### Trans 1010 1013 % 50.14/50.30 1015. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.14/50.30 1016. ((op (op (e4) (e1)) (e5)) != (op (e2) (e5))) ((op (e4) (e1)) = (e2)) ### NotEqual 1015 214 % 50.14/50.30 1017. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.14/50.30 1018. ((op (e4) (op (e1) (e5))) != (op (e4) (e3))) ((op (e1) (e5)) = (e3)) ### NotEqual 206 1017 % 50.14/50.30 1019. ((e1) != (op (e4) (op (e1) (e5)))) ((op (e4) (e3)) = (e1)) ((op (e1) (e5)) = (e3)) ### Trans-sym 1018 192 % 50.14/50.30 1020. ((op (op (e4) (e1)) (e5)) != (op (e4) (op (e1) (e5)))) ((op (e2) (e5)) = (e1)) ((op (e1) (e5)) = (e3)) ((op (e4) (e3)) = (e1)) ((op (e4) (e1)) = (e2)) ### Trans 1016 1019 % 50.14/50.30 1021. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.14/50.30 1022. ((op (op (e4) (e2)) (e0)) != (op (e5) (e0))) ((op (e4) (e2)) = (e5)) ### NotEqual 1021 188 % 50.14/50.30 1023. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.14/50.30 1024. ((op (e4) (op (e2) (e0))) != (op (e4) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 206 1023 % 50.14/50.30 1025. ((e5) != (op (e4) (op (e2) (e0)))) ((op (e4) (e2)) = (e5)) ((op (e2) (e0)) = (e2)) ### Trans-sym 1024 214 % 50.14/50.30 1026. ((op (op (e4) (e2)) (e0)) != (op (e4) (op (e2) (e0)))) ((op (e5) (e0)) = (e5)) ((op (e2) (e0)) = (e2)) ((op (e4) (e2)) = (e5)) ### Trans 1022 1025 % 50.14/50.30 1027. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.14/50.30 1028. ((op (op (e4) (e2)) (e1)) != (op (e5) (e1))) ((op (e4) (e2)) = (e5)) ### NotEqual 1027 192 % 50.14/50.30 1029. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.14/50.30 1030. ((op (e4) (op (e2) (e1))) != (op (e4) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 206 1029 % 50.14/50.30 1031. ((e3) != (op (e4) (op (e2) (e1)))) ((op (e4) (e4)) = (e3)) ((op (e2) (e1)) = (e4)) ### Trans-sym 1030 210 % 50.14/50.30 1032. ((op (op (e4) (e2)) (e1)) != (op (e4) (op (e2) (e1)))) ((op (e5) (e1)) = (e3)) ((op (e2) (e1)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e4) (e2)) = (e5)) ### Trans 1028 1031 % 50.14/50.30 1033. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.14/50.30 1034. ((op (op (e4) (e2)) (e2)) != (op (e5) (e2))) ((op (e4) (e2)) = (e5)) ### NotEqual 1033 202 % 50.14/50.30 1035. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.14/50.30 1036. ((op (e4) (op (e2) (e2))) != (op (e4) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 206 1035 % 50.14/50.30 1037. ((e1) != (op (e4) (op (e2) (e2)))) ((op (e4) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1036 192 % 50.14/50.30 1038. ((op (op (e4) (e2)) (e2)) != (op (e4) (op (e2) (e2)))) ((op (e5) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ((op (e4) (e3)) = (e1)) ((op (e4) (e2)) = (e5)) ### Trans 1034 1037 % 50.14/50.30 1039. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.14/50.30 1040. ((op (op (e4) (e2)) (e3)) != (op (e5) (e3))) ((op (e4) (e2)) = (e5)) ### NotEqual 1039 210 % 50.14/50.30 1041. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.14/50.30 1042. ((op (e4) (op (e2) (e3))) != (op (e4) (e0))) ((op (e2) (e3)) = (e0)) ### NotEqual 206 1041 % 50.14/50.30 1043. ((e4) != (op (e4) (op (e2) (e3)))) ((op (e4) (e0)) = (e4)) ((op (e2) (e3)) = (e0)) ### Trans-sym 1042 206 % 50.14/50.30 1044. ((op (op (e4) (e2)) (e3)) != (op (e4) (op (e2) (e3)))) ((op (e5) (e3)) = (e4)) ((op (e2) (e3)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e2)) = (e5)) ### Trans 1040 1043 % 50.14/50.30 1045. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.14/50.30 1046. ((op (op (e4) (e2)) (e4)) != (op (e5) (e4))) ((op (e4) (e2)) = (e5)) ### NotEqual 1045 206 % 50.14/50.30 1047. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.14/50.30 1048. ((op (e4) (op (e2) (e4))) != (op (e4) (e5))) ((op (e2) (e4)) = (e5)) ### NotEqual 206 1047 % 50.14/50.30 1049. ((e0) != (op (e4) (op (e2) (e4)))) ((op (e4) (e5)) = (e0)) ((op (e2) (e4)) = (e5)) ### Trans-sym 1048 188 % 50.14/50.30 1050. ((op (op (e4) (e2)) (e4)) != (op (e4) (op (e2) (e4)))) ((op (e5) (e4)) = (e0)) ((op (e2) (e4)) = (e5)) ((op (e4) (e5)) = (e0)) ((op (e4) (e2)) = (e5)) ### Trans 1046 1049 % 50.14/50.30 1051. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.14/50.30 1052. ((op (op (e4) (e2)) (e5)) != (op (e5) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 1051 214 % 50.14/50.30 1053. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.14/50.30 1054. ((op (e4) (op (e2) (e5))) != (op (e4) (e1))) ((op (e2) (e5)) = (e1)) ### NotEqual 206 1053 % 50.14/50.30 1055. ((e2) != (op (e4) (op (e2) (e5)))) ((op (e4) (e1)) = (e2)) ((op (e2) (e5)) = (e1)) ### Trans-sym 1054 202 % 50.14/50.30 1056. ((op (op (e4) (e2)) (e5)) != (op (e4) (op (e2) (e5)))) ((op (e5) (e5)) = (e2)) ((op (e2) (e5)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e4) (e2)) = (e5)) ### Trans 1052 1055 % 50.14/50.30 1057. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.14/50.30 1058. ((op (op (e4) (e3)) (e0)) != (op (e1) (e0))) ((op (e4) (e3)) = (e1)) ### NotEqual 1057 188 % 50.14/50.30 1059. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.14/50.30 1060. ((op (e4) (op (e3) (e0))) != (op (e4) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 206 1059 % 50.14/50.30 1061. ((e1) != (op (e4) (op (e3) (e0)))) ((op (e4) (e3)) = (e1)) ((op (e3) (e0)) = (e3)) ### Trans-sym 1060 192 % 50.14/50.30 1062. ((op (op (e4) (e3)) (e0)) != (op (e4) (op (e3) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) = (e3)) ((op (e4) (e3)) = (e1)) ### Trans 1058 1061 % 50.14/50.30 1063. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.14/50.30 1064. ((op (op (e4) (e3)) (e1)) != (op (e1) (e1))) ((op (e4) (e3)) = (e1)) ### NotEqual 1063 192 % 50.14/50.30 1065. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.14/50.30 1066. ((op (e4) (op (e3) (e1))) != (op (e4) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 206 1065 % 50.14/50.30 1067. ((e0) != (op (e4) (op (e3) (e1)))) ((op (e4) (e5)) = (e0)) ((op (e3) (e1)) = (e5)) ### Trans-sym 1066 188 % 50.14/50.30 1068. ((op (op (e4) (e3)) (e1)) != (op (e4) (op (e3) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e3) (e1)) = (e5)) ((op (e4) (e5)) = (e0)) ((op (e4) (e3)) = (e1)) ### Trans 1064 1067 % 50.14/50.31 1069. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.14/50.31 1070. ((op (op (e4) (e3)) (e2)) != (op (e1) (e2))) ((op (e4) (e3)) = (e1)) ### NotEqual 1069 202 % 50.14/50.31 1071. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.14/50.31 1072. ((op (e4) (op (e3) (e2))) != (op (e4) (e0))) ((op (e3) (e2)) = (e0)) ### NotEqual 206 1071 % 50.14/50.31 1073. ((e4) != (op (e4) (op (e3) (e2)))) ((op (e4) (e0)) = (e4)) ((op (e3) (e2)) = (e0)) ### Trans-sym 1072 206 % 50.14/50.31 1074. ((op (op (e4) (e3)) (e2)) != (op (e4) (op (e3) (e2)))) ((op (e1) (e2)) = (e4)) ((op (e3) (e2)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e3)) = (e1)) ### Trans 1070 1073 % 50.14/50.31 1075. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.14/50.31 1076. ((op (op (e4) (e3)) (e3)) != (op (e1) (e3))) ((op (e4) (e3)) = (e1)) ### NotEqual 1075 210 % 50.14/50.31 1077. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.14/50.31 1078. ((op (e4) (op (e3) (e3))) != (op (e4) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 206 1077 % 50.14/50.31 1079. ((e5) != (op (e4) (op (e3) (e3)))) ((op (e4) (e2)) = (e5)) ((op (e3) (e3)) = (e2)) ### Trans-sym 1078 214 % 50.14/50.31 1080. ((op (op (e4) (e3)) (e3)) != (op (e4) (op (e3) (e3)))) ((op (e1) (e3)) = (e5)) ((op (e3) (e3)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e4) (e3)) = (e1)) ### Trans 1076 1079 % 50.14/50.31 1081. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.14/50.31 1082. ((op (op (e4) (e3)) (e4)) != (op (e1) (e4))) ((op (e4) (e3)) = (e1)) ### NotEqual 1081 206 % 50.14/50.31 1083. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.14/50.31 1084. ((op (e4) (op (e3) (e4))) != (op (e4) (e1))) ((op (e3) (e4)) = (e1)) ### NotEqual 206 1083 % 50.14/50.31 1085. ((e2) != (op (e4) (op (e3) (e4)))) ((op (e4) (e1)) = (e2)) ((op (e3) (e4)) = (e1)) ### Trans-sym 1084 202 % 50.14/50.31 1086. ((op (op (e4) (e3)) (e4)) != (op (e4) (op (e3) (e4)))) ((op (e1) (e4)) = (e2)) ((op (e3) (e4)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e4) (e3)) = (e1)) ### Trans 1082 1085 % 50.14/50.31 1087. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.14/50.31 1088. ((op (op (e4) (e3)) (e5)) != (op (e1) (e5))) ((op (e4) (e3)) = (e1)) ### NotEqual 1087 214 % 50.14/50.31 1089. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.14/50.31 1090. ((op (e4) (op (e3) (e5))) != (op (e4) (e4))) ((op (e3) (e5)) = (e4)) ### NotEqual 206 1089 % 50.14/50.31 1091. ((e3) != (op (e4) (op (e3) (e5)))) ((op (e4) (e4)) = (e3)) ((op (e3) (e5)) = (e4)) ### Trans-sym 1090 210 % 50.14/50.31 1092. ((op (op (e4) (e3)) (e5)) != (op (e4) (op (e3) (e5)))) ((op (e1) (e5)) = (e3)) ((op (e3) (e5)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e4) (e3)) = (e1)) ### Trans 1088 1091 % 50.14/50.31 1093. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.14/50.31 1094. ((op (op (e4) (e4)) (e0)) != (op (e3) (e0))) ((op (e4) (e4)) = (e3)) ### NotEqual 1093 188 % 50.14/50.31 1095. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.14/50.31 1096. ((op (e4) (op (e4) (e0))) != (op (e4) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 206 1095 % 50.14/50.31 1097. ((e3) != (op (e4) (op (e4) (e0)))) ((op (e4) (e4)) = (e3)) ((op (e4) (e0)) = (e4)) ### Trans-sym 1096 210 % 50.14/50.31 1098. ((op (op (e4) (e4)) (e0)) != (op (e4) (op (e4) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e4) (e0)) = (e4)) ((op (e4) (e4)) = (e3)) ### Trans 1094 1097 % 50.14/50.31 1099. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.14/50.31 1100. ((op (op (e4) (e4)) (e1)) != (op (e3) (e1))) ((op (e4) (e4)) = (e3)) ### NotEqual 1099 192 % 50.14/50.31 1101. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.14/50.31 1102. ((op (e4) (op (e4) (e1))) != (op (e4) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 206 1101 % 50.14/50.31 1103. ((e5) != (op (e4) (op (e4) (e1)))) ((op (e4) (e2)) = (e5)) ((op (e4) (e1)) = (e2)) ### Trans-sym 1102 214 % 50.14/50.31 1104. ((op (op (e4) (e4)) (e1)) != (op (e4) (op (e4) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e4) (e1)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e4) (e4)) = (e3)) ### Trans 1100 1103 % 50.14/50.31 1105. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.14/50.31 1106. ((op (op (e4) (e4)) (e2)) != (op (e3) (e2))) ((op (e4) (e4)) = (e3)) ### NotEqual 1105 202 % 50.14/50.31 1107. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.14/50.31 1108. ((op (e4) (op (e4) (e2))) != (op (e4) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 206 1107 % 50.14/50.31 1109. ((e0) != (op (e4) (op (e4) (e2)))) ((op (e4) (e5)) = (e0)) ((op (e4) (e2)) = (e5)) ### Trans-sym 1108 188 % 50.14/50.31 1110. ((op (op (e4) (e4)) (e2)) != (op (e4) (op (e4) (e2)))) ((op (e3) (e2)) = (e0)) ((op (e4) (e2)) = (e5)) ((op (e4) (e5)) = (e0)) ((op (e4) (e4)) = (e3)) ### Trans 1106 1109 % 50.14/50.31 1111. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.14/50.31 1112. ((op (op (e4) (e4)) (e3)) != (op (e3) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 1111 210 % 50.14/50.31 1113. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.14/50.31 1114. ((op (e4) (op (e4) (e3))) != (op (e4) (e1))) ((op (e4) (e3)) = (e1)) ### NotEqual 206 1113 % 50.14/50.31 1115. ((e2) != (op (e4) (op (e4) (e3)))) ((op (e4) (e1)) = (e2)) ((op (e4) (e3)) = (e1)) ### Trans-sym 1114 202 % 50.14/50.31 1116. ((op (op (e4) (e4)) (e3)) != (op (e4) (op (e4) (e3)))) ((op (e3) (e3)) = (e2)) ((op (e4) (e3)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e4) (e4)) = (e3)) ### Trans 1112 1115 % 50.14/50.31 1117. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.14/50.31 1118. ((op (op (e4) (e4)) (e4)) != (op (e3) (e4))) ((op (e4) (e4)) = (e3)) ### NotEqual 1117 206 % 50.14/50.31 1119. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.14/50.31 1120. ((op (e4) (op (e4) (e4))) != (op (e4) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 206 1119 % 50.14/50.31 1121. ((e1) != (op (e4) (op (e4) (e4)))) ((op (e4) (e3)) = (e1)) ((op (e4) (e4)) = (e3)) ### Trans-sym 1120 192 % 50.14/50.31 1122. ((op (op (e4) (e4)) (e4)) != (op (e4) (op (e4) (e4)))) ((op (e3) (e4)) = (e1)) ((op (e4) (e3)) = (e1)) ((op (e4) (e4)) = (e3)) ### Trans 1118 1121 % 50.14/50.31 1123. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.14/50.31 1124. ((op (op (e4) (e4)) (e5)) != (op (e3) (e5))) ((op (e4) (e4)) = (e3)) ### NotEqual 1123 214 % 50.14/50.31 1125. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.14/50.31 1126. ((op (e4) (op (e4) (e5))) != (op (e4) (e0))) ((op (e4) (e5)) = (e0)) ### NotEqual 206 1125 % 50.14/50.31 1127. ((e4) != (op (e4) (op (e4) (e5)))) ((op (e4) (e0)) = (e4)) ((op (e4) (e5)) = (e0)) ### Trans-sym 1126 206 % 50.14/50.31 1128. ((op (op (e4) (e4)) (e5)) != (op (e4) (op (e4) (e5)))) ((op (e3) (e5)) = (e4)) ((op (e4) (e5)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e4)) = (e3)) ### Trans 1124 1127 % 50.14/50.31 1129. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.14/50.31 1130. ((op (op (e4) (e5)) (e0)) != (op (e0) (e0))) ((op (e4) (e5)) = (e0)) ### NotEqual 1129 188 % 50.14/50.31 1131. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.14/50.31 1132. ((op (e4) (op (e5) (e0))) != (op (e4) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 206 1131 % 50.14/50.31 1133. ((e0) != (op (e4) (op (e5) (e0)))) ((op (e4) (e5)) = (e0)) ((op (e5) (e0)) = (e5)) ### Trans-sym 1132 188 % 50.14/50.31 1134. ((op (op (e4) (e5)) (e0)) != (op (e4) (op (e5) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e4) (e5)) = (e0)) ### Trans 1130 1133 % 50.14/50.31 1135. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.14/50.31 1136. ((op (op (e4) (e5)) (e1)) != (op (e0) (e1))) ((op (e4) (e5)) = (e0)) ### NotEqual 1135 192 % 50.14/50.31 1137. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.14/50.31 1138. ((op (e4) (op (e5) (e1))) != (op (e4) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 206 1137 % 50.14/50.31 1139. ((e1) != (op (e4) (op (e5) (e1)))) ((op (e4) (e3)) = (e1)) ((op (e5) (e1)) = (e3)) ### Trans-sym 1138 192 % 50.14/50.31 1140. ((op (op (e4) (e5)) (e1)) != (op (e4) (op (e5) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e4) (e3)) = (e1)) ((op (e4) (e5)) = (e0)) ### Trans 1136 1139 % 50.14/50.31 1141. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.14/50.31 1142. ((op (op (e4) (e5)) (e2)) != (op (e0) (e2))) ((op (e4) (e5)) = (e0)) ### NotEqual 1141 202 % 50.14/50.31 1143. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.14/50.31 1144. ((op (e4) (op (e5) (e2))) != (op (e4) (e1))) ((op (e5) (e2)) = (e1)) ### NotEqual 206 1143 % 50.14/50.31 1145. ((e2) != (op (e4) (op (e5) (e2)))) ((op (e4) (e1)) = (e2)) ((op (e5) (e2)) = (e1)) ### Trans-sym 1144 202 % 50.14/50.31 1146. ((op (op (e4) (e5)) (e2)) != (op (e4) (op (e5) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e5) (e2)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e4) (e5)) = (e0)) ### Trans 1142 1145 % 50.14/50.31 1147. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.14/50.31 1148. ((op (op (e4) (e5)) (e3)) != (op (e0) (e3))) ((op (e4) (e5)) = (e0)) ### NotEqual 1147 210 % 50.14/50.31 1149. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.14/50.31 1150. ((op (e4) (op (e5) (e3))) != (op (e4) (e4))) ((op (e5) (e3)) = (e4)) ### NotEqual 206 1149 % 50.14/50.31 1151. ((e3) != (op (e4) (op (e5) (e3)))) ((op (e4) (e4)) = (e3)) ((op (e5) (e3)) = (e4)) ### Trans-sym 1150 210 % 50.14/50.31 1152. ((op (op (e4) (e5)) (e3)) != (op (e4) (op (e5) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e5) (e3)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e4) (e5)) = (e0)) ### Trans 1148 1151 % 50.14/50.31 1153. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.14/50.31 1154. ((op (op (e4) (e5)) (e4)) != (op (e0) (e4))) ((op (e4) (e5)) = (e0)) ### NotEqual 1153 206 % 50.14/50.31 1155. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.14/50.31 1156. ((op (e4) (op (e5) (e4))) != (op (e4) (e0))) ((op (e5) (e4)) = (e0)) ### NotEqual 206 1155 % 50.14/50.31 1157. ((e4) != (op (e4) (op (e5) (e4)))) ((op (e4) (e0)) = (e4)) ((op (e5) (e4)) = (e0)) ### Trans-sym 1156 206 % 50.14/50.31 1158. ((op (op (e4) (e5)) (e4)) != (op (e4) (op (e5) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e5) (e4)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e5)) = (e0)) ### Trans 1154 1157 % 50.14/50.31 1159. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.14/50.31 1160. ((op (op (e4) (e5)) (e5)) != (op (e0) (e5))) ((op (e4) (e5)) = (e0)) ### NotEqual 1159 214 % 50.14/50.31 1161. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.14/50.31 1162. ((op (e4) (op (e5) (e5))) != (op (e4) (e2))) ((op (e5) (e5)) = (e2)) ### NotEqual 206 1161 % 50.14/50.31 1163. ((e5) != (op (e4) (op (e5) (e5)))) ((op (e4) (e2)) = (e5)) ((op (e5) (e5)) = (e2)) ### Trans-sym 1162 214 % 50.14/50.31 1164. ((op (op (e4) (e5)) (e5)) != (op (e4) (op (e5) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e5) (e5)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e4) (e5)) = (e0)) ### Trans 1160 1163 % 50.14/50.31 1165. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.14/50.31 1166. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=) % 50.14/50.31 1167. ((op (op (e5) (e0)) (e0)) != (op (e5) (op (e0) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e5) (e0)) = (e5)) ### NotEqual 1165 1166 % 50.14/50.31 1168. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.14/50.31 1169. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=) % 50.14/50.31 1170. ((op (op (e5) (e0)) (e1)) != (op (e5) (op (e0) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e5) (e0)) = (e5)) ### NotEqual 1168 1169 % 50.14/50.31 1171. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.14/50.31 1172. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=) % 50.14/50.31 1173. ((op (op (e5) (e0)) (e2)) != (op (e5) (op (e0) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e5) (e0)) = (e5)) ### NotEqual 1171 1172 % 50.14/50.31 1174. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.14/50.31 1175. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=) % 50.14/50.31 1176. ((op (op (e5) (e0)) (e3)) != (op (e5) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e5) (e0)) = (e5)) ### NotEqual 1174 1175 % 50.14/50.31 1177. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.14/50.31 1178. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=) % 50.14/50.31 1179. ((op (op (e5) (e0)) (e4)) != (op (e5) (op (e0) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e5) (e0)) = (e5)) ### NotEqual 1177 1178 % 50.14/50.31 1180. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.14/50.31 1181. ((op (e0) (e5)) = (e5)) ((e5) != (op (e0) (e5))) ### Sym(=) % 50.14/50.31 1182. ((op (op (e5) (e0)) (e5)) != (op (e5) (op (e0) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e5) (e0)) = (e5)) ### NotEqual 1180 1181 % 50.14/50.31 1183. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.14/50.31 1184. ((op (op (e5) (e1)) (e0)) != (op (e3) (e0))) ((op (e5) (e1)) = (e3)) ### NotEqual 1183 188 % 50.14/50.31 1185. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom % 50.14/50.31 1186. ((op (e5) (op (e1) (e0))) != (op (e5) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 214 1185 % 50.14/50.31 1187. ((e3) != (op (e5) (op (e1) (e0)))) ((op (e5) (e1)) = (e3)) ((op (e1) (e0)) = (e1)) ### Trans-sym 1186 210 % 50.14/50.31 1188. ((op (op (e5) (e1)) (e0)) != (op (e5) (op (e1) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) = (e1)) ((op (e5) (e1)) = (e3)) ### Trans 1184 1187 % 50.14/50.31 1189. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.14/50.31 1190. ((op (op (e5) (e1)) (e1)) != (op (e3) (e1))) ((op (e5) (e1)) = (e3)) ### NotEqual 1189 192 % 50.14/50.31 1191. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom % 50.14/50.31 1192. ((op (e5) (op (e1) (e1))) != (op (e5) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 214 1191 % 50.14/50.31 1193. ((e5) != (op (e5) (op (e1) (e1)))) ((op (e5) (e0)) = (e5)) ((op (e1) (e1)) = (e0)) ### Trans-sym 1192 214 % 50.14/50.31 1194. ((op (op (e5) (e1)) (e1)) != (op (e5) (op (e1) (e1)))) ((op (e3) (e1)) = (e5)) ((op (e1) (e1)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e1)) = (e3)) ### Trans 1190 1193 % 50.14/50.31 1195. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.14/50.31 1196. ((op (op (e5) (e1)) (e2)) != (op (e3) (e2))) ((op (e5) (e1)) = (e3)) ### NotEqual 1195 202 % 50.14/50.31 1197. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4)) ### Axiom % 50.14/50.31 1198. ((op (e5) (op (e1) (e2))) != (op (e5) (e4))) ((op (e1) (e2)) = (e4)) ### NotEqual 214 1197 % 50.14/50.31 1199. ((e0) != (op (e5) (op (e1) (e2)))) ((op (e5) (e4)) = (e0)) ((op (e1) (e2)) = (e4)) ### Trans-sym 1198 188 % 50.14/50.31 1200. ((op (op (e5) (e1)) (e2)) != (op (e5) (op (e1) (e2)))) ((op (e3) (e2)) = (e0)) ((op (e1) (e2)) = (e4)) ((op (e5) (e4)) = (e0)) ((op (e5) (e1)) = (e3)) ### Trans 1196 1199 % 50.14/50.31 1201. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.14/50.31 1202. ((op (op (e5) (e1)) (e3)) != (op (e3) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 1201 210 % 50.14/50.31 1203. ((op (e1) (e3)) = (e5)) ((op (e1) (e3)) != (e5)) ### Axiom % 50.14/50.31 1204. ((op (e5) (op (e1) (e3))) != (op (e5) (e5))) ((op (e1) (e3)) = (e5)) ### NotEqual 214 1203 % 50.14/50.31 1205. ((e2) != (op (e5) (op (e1) (e3)))) ((op (e5) (e5)) = (e2)) ((op (e1) (e3)) = (e5)) ### Trans-sym 1204 202 % 50.14/50.31 1206. ((op (op (e5) (e1)) (e3)) != (op (e5) (op (e1) (e3)))) ((op (e3) (e3)) = (e2)) ((op (e1) (e3)) = (e5)) ((op (e5) (e5)) = (e2)) ((op (e5) (e1)) = (e3)) ### Trans 1202 1205 % 50.14/50.31 1207. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.14/50.31 1208. ((op (op (e5) (e1)) (e4)) != (op (e3) (e4))) ((op (e5) (e1)) = (e3)) ### NotEqual 1207 206 % 50.14/50.31 1209. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom % 50.14/50.31 1210. ((op (e5) (op (e1) (e4))) != (op (e5) (e2))) ((op (e1) (e4)) = (e2)) ### NotEqual 214 1209 % 50.14/50.31 1211. ((e1) != (op (e5) (op (e1) (e4)))) ((op (e5) (e2)) = (e1)) ((op (e1) (e4)) = (e2)) ### Trans-sym 1210 192 % 50.14/50.31 1212. ((op (op (e5) (e1)) (e4)) != (op (e5) (op (e1) (e4)))) ((op (e3) (e4)) = (e1)) ((op (e1) (e4)) = (e2)) ((op (e5) (e2)) = (e1)) ((op (e5) (e1)) = (e3)) ### Trans 1208 1211 % 50.14/50.31 1213. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.14/50.31 1214. ((op (op (e5) (e1)) (e5)) != (op (e3) (e5))) ((op (e5) (e1)) = (e3)) ### NotEqual 1213 214 % 50.14/50.31 1215. ((op (e1) (e5)) = (e3)) ((op (e1) (e5)) != (e3)) ### Axiom % 50.14/50.31 1216. ((op (e5) (op (e1) (e5))) != (op (e5) (e3))) ((op (e1) (e5)) = (e3)) ### NotEqual 214 1215 % 50.14/50.31 1217. ((e4) != (op (e5) (op (e1) (e5)))) ((op (e5) (e3)) = (e4)) ((op (e1) (e5)) = (e3)) ### Trans-sym 1216 206 % 50.14/50.31 1218. ((op (op (e5) (e1)) (e5)) != (op (e5) (op (e1) (e5)))) ((op (e3) (e5)) = (e4)) ((op (e1) (e5)) = (e3)) ((op (e5) (e3)) = (e4)) ((op (e5) (e1)) = (e3)) ### Trans 1214 1217 % 50.14/50.31 1219. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.14/50.31 1220. ((op (op (e5) (e2)) (e0)) != (op (e1) (e0))) ((op (e5) (e2)) = (e1)) ### NotEqual 1219 188 % 50.14/50.31 1221. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom % 50.14/50.31 1222. ((op (e5) (op (e2) (e0))) != (op (e5) (e2))) ((op (e2) (e0)) = (e2)) ### NotEqual 214 1221 % 50.14/50.31 1223. ((e1) != (op (e5) (op (e2) (e0)))) ((op (e5) (e2)) = (e1)) ((op (e2) (e0)) = (e2)) ### Trans-sym 1222 192 % 50.14/50.31 1224. ((op (op (e5) (e2)) (e0)) != (op (e5) (op (e2) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) = (e2)) ((op (e5) (e2)) = (e1)) ### Trans 1220 1223 % 50.14/50.31 1225. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.14/50.31 1226. ((op (op (e5) (e2)) (e1)) != (op (e1) (e1))) ((op (e5) (e2)) = (e1)) ### NotEqual 1225 192 % 50.14/50.31 1227. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom % 50.14/50.31 1228. ((op (e5) (op (e2) (e1))) != (op (e5) (e4))) ((op (e2) (e1)) = (e4)) ### NotEqual 214 1227 % 50.14/50.31 1229. ((e0) != (op (e5) (op (e2) (e1)))) ((op (e5) (e4)) = (e0)) ((op (e2) (e1)) = (e4)) ### Trans-sym 1228 188 % 50.14/50.31 1230. ((op (op (e5) (e2)) (e1)) != (op (e5) (op (e2) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e4)) ((op (e5) (e4)) = (e0)) ((op (e5) (e2)) = (e1)) ### Trans 1226 1229 % 50.14/50.31 1231. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.14/50.31 1232. ((op (op (e5) (e2)) (e2)) != (op (e1) (e2))) ((op (e5) (e2)) = (e1)) ### NotEqual 1231 202 % 50.14/50.31 1233. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom % 50.14/50.31 1234. ((op (e5) (op (e2) (e2))) != (op (e5) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 214 1233 % 50.14/50.31 1235. ((e4) != (op (e5) (op (e2) (e2)))) ((op (e5) (e3)) = (e4)) ((op (e2) (e2)) = (e3)) ### Trans-sym 1234 206 % 50.14/50.31 1236. ((op (op (e5) (e2)) (e2)) != (op (e5) (op (e2) (e2)))) ((op (e1) (e2)) = (e4)) ((op (e2) (e2)) = (e3)) ((op (e5) (e3)) = (e4)) ((op (e5) (e2)) = (e1)) ### Trans 1232 1235 % 50.14/50.31 1237. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.14/50.31 1238. ((op (op (e5) (e2)) (e3)) != (op (e1) (e3))) ((op (e5) (e2)) = (e1)) ### NotEqual 1237 210 % 50.14/50.31 1239. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom % 50.14/50.31 1240. ((op (e5) (op (e2) (e3))) != (op (e5) (e0))) ((op (e2) (e3)) = (e0)) ### NotEqual 214 1239 % 50.14/50.31 1241. ((e5) != (op (e5) (op (e2) (e3)))) ((op (e5) (e0)) = (e5)) ((op (e2) (e3)) = (e0)) ### Trans-sym 1240 214 % 50.14/50.31 1242. ((op (op (e5) (e2)) (e3)) != (op (e5) (op (e2) (e3)))) ((op (e1) (e3)) = (e5)) ((op (e2) (e3)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e2)) = (e1)) ### Trans 1238 1241 % 50.14/50.31 1243. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.14/50.31 1244. ((op (op (e5) (e2)) (e4)) != (op (e1) (e4))) ((op (e5) (e2)) = (e1)) ### NotEqual 1243 206 % 50.14/50.31 1245. ((op (e2) (e4)) = (e5)) ((op (e2) (e4)) != (e5)) ### Axiom % 50.14/50.31 1246. ((op (e5) (op (e2) (e4))) != (op (e5) (e5))) ((op (e2) (e4)) = (e5)) ### NotEqual 214 1245 % 50.14/50.31 1247. ((e2) != (op (e5) (op (e2) (e4)))) ((op (e5) (e5)) = (e2)) ((op (e2) (e4)) = (e5)) ### Trans-sym 1246 202 % 50.14/50.31 1248. ((op (op (e5) (e2)) (e4)) != (op (e5) (op (e2) (e4)))) ((op (e1) (e4)) = (e2)) ((op (e2) (e4)) = (e5)) ((op (e5) (e5)) = (e2)) ((op (e5) (e2)) = (e1)) ### Trans 1244 1247 % 50.14/50.31 1249. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.14/50.31 1250. ((op (op (e5) (e2)) (e5)) != (op (e1) (e5))) ((op (e5) (e2)) = (e1)) ### NotEqual 1249 214 % 50.14/50.31 1251. ((op (e2) (e5)) = (e1)) ((op (e2) (e5)) != (e1)) ### Axiom % 50.14/50.31 1252. ((op (e5) (op (e2) (e5))) != (op (e5) (e1))) ((op (e2) (e5)) = (e1)) ### NotEqual 214 1251 % 50.14/50.31 1253. ((e3) != (op (e5) (op (e2) (e5)))) ((op (e5) (e1)) = (e3)) ((op (e2) (e5)) = (e1)) ### Trans-sym 1252 210 % 50.14/50.31 1254. ((op (op (e5) (e2)) (e5)) != (op (e5) (op (e2) (e5)))) ((op (e1) (e5)) = (e3)) ((op (e2) (e5)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e5) (e2)) = (e1)) ### Trans 1250 1253 % 50.14/50.31 1255. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.14/50.31 1256. ((op (op (e5) (e3)) (e0)) != (op (e4) (e0))) ((op (e5) (e3)) = (e4)) ### NotEqual 1255 188 % 50.14/50.31 1257. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom % 50.14/50.31 1258. ((op (e5) (op (e3) (e0))) != (op (e5) (e3))) ((op (e3) (e0)) = (e3)) ### NotEqual 214 1257 % 50.14/50.31 1259. ((e4) != (op (e5) (op (e3) (e0)))) ((op (e5) (e3)) = (e4)) ((op (e3) (e0)) = (e3)) ### Trans-sym 1258 206 % 50.14/50.31 1260. ((op (op (e5) (e3)) (e0)) != (op (e5) (op (e3) (e0)))) ((op (e4) (e0)) = (e4)) ((op (e3) (e0)) = (e3)) ((op (e5) (e3)) = (e4)) ### Trans 1256 1259 % 50.14/50.31 1261. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.14/50.31 1262. ((op (op (e5) (e3)) (e1)) != (op (e4) (e1))) ((op (e5) (e3)) = (e4)) ### NotEqual 1261 192 % 50.14/50.31 1263. ((op (e3) (e1)) = (e5)) ((op (e3) (e1)) != (e5)) ### Axiom % 50.14/50.31 1264. ((op (e5) (op (e3) (e1))) != (op (e5) (e5))) ((op (e3) (e1)) = (e5)) ### NotEqual 214 1263 % 50.14/50.31 1265. ((e2) != (op (e5) (op (e3) (e1)))) ((op (e5) (e5)) = (e2)) ((op (e3) (e1)) = (e5)) ### Trans-sym 1264 202 % 50.14/50.31 1266. ((op (op (e5) (e3)) (e1)) != (op (e5) (op (e3) (e1)))) ((op (e4) (e1)) = (e2)) ((op (e3) (e1)) = (e5)) ((op (e5) (e5)) = (e2)) ((op (e5) (e3)) = (e4)) ### Trans 1262 1265 % 50.14/50.31 1267. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.14/50.31 1268. ((op (op (e5) (e3)) (e2)) != (op (e4) (e2))) ((op (e5) (e3)) = (e4)) ### NotEqual 1267 202 % 50.14/50.31 1269. ((op (e3) (e2)) = (e0)) ((op (e3) (e2)) != (e0)) ### Axiom % 50.14/50.31 1270. ((op (e5) (op (e3) (e2))) != (op (e5) (e0))) ((op (e3) (e2)) = (e0)) ### NotEqual 214 1269 % 50.14/50.31 1271. ((e5) != (op (e5) (op (e3) (e2)))) ((op (e5) (e0)) = (e5)) ((op (e3) (e2)) = (e0)) ### Trans-sym 1270 214 % 50.14/50.31 1272. ((op (op (e5) (e3)) (e2)) != (op (e5) (op (e3) (e2)))) ((op (e4) (e2)) = (e5)) ((op (e3) (e2)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e3)) = (e4)) ### Trans 1268 1271 % 50.14/50.31 1273. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.14/50.31 1274. ((op (op (e5) (e3)) (e3)) != (op (e4) (e3))) ((op (e5) (e3)) = (e4)) ### NotEqual 1273 210 % 50.14/50.31 1275. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom % 50.14/50.31 1276. ((op (e5) (op (e3) (e3))) != (op (e5) (e2))) ((op (e3) (e3)) = (e2)) ### NotEqual 214 1275 % 50.14/50.31 1277. ((e1) != (op (e5) (op (e3) (e3)))) ((op (e5) (e2)) = (e1)) ((op (e3) (e3)) = (e2)) ### Trans-sym 1276 192 % 50.14/50.31 1278. ((op (op (e5) (e3)) (e3)) != (op (e5) (op (e3) (e3)))) ((op (e4) (e3)) = (e1)) ((op (e3) (e3)) = (e2)) ((op (e5) (e2)) = (e1)) ((op (e5) (e3)) = (e4)) ### Trans 1274 1277 % 50.14/50.31 1279. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.14/50.31 1280. ((op (op (e5) (e3)) (e4)) != (op (e4) (e4))) ((op (e5) (e3)) = (e4)) ### NotEqual 1279 206 % 50.14/50.31 1281. ((op (e3) (e4)) = (e1)) ((op (e3) (e4)) != (e1)) ### Axiom % 50.14/50.31 1282. ((op (e5) (op (e3) (e4))) != (op (e5) (e1))) ((op (e3) (e4)) = (e1)) ### NotEqual 214 1281 % 50.14/50.31 1283. ((e3) != (op (e5) (op (e3) (e4)))) ((op (e5) (e1)) = (e3)) ((op (e3) (e4)) = (e1)) ### Trans-sym 1282 210 % 50.14/50.31 1284. ((op (op (e5) (e3)) (e4)) != (op (e5) (op (e3) (e4)))) ((op (e4) (e4)) = (e3)) ((op (e3) (e4)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e5) (e3)) = (e4)) ### Trans 1280 1283 % 50.14/50.31 1285. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.14/50.31 1286. ((op (op (e5) (e3)) (e5)) != (op (e4) (e5))) ((op (e5) (e3)) = (e4)) ### NotEqual 1285 214 % 50.14/50.31 1287. ((op (e3) (e5)) = (e4)) ((op (e3) (e5)) != (e4)) ### Axiom % 50.14/50.31 1288. ((op (e5) (op (e3) (e5))) != (op (e5) (e4))) ((op (e3) (e5)) = (e4)) ### NotEqual 214 1287 % 50.14/50.31 1289. ((e0) != (op (e5) (op (e3) (e5)))) ((op (e5) (e4)) = (e0)) ((op (e3) (e5)) = (e4)) ### Trans-sym 1288 188 % 50.14/50.31 1290. ((op (op (e5) (e3)) (e5)) != (op (e5) (op (e3) (e5)))) ((op (e4) (e5)) = (e0)) ((op (e3) (e5)) = (e4)) ((op (e5) (e4)) = (e0)) ((op (e5) (e3)) = (e4)) ### Trans 1286 1289 % 50.14/50.31 1291. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.14/50.31 1292. ((op (op (e5) (e4)) (e0)) != (op (e0) (e0))) ((op (e5) (e4)) = (e0)) ### NotEqual 1291 188 % 50.14/50.31 1293. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4)) ### Axiom % 50.14/50.31 1294. ((op (e5) (op (e4) (e0))) != (op (e5) (e4))) ((op (e4) (e0)) = (e4)) ### NotEqual 214 1293 % 50.14/50.31 1295. ((e0) != (op (e5) (op (e4) (e0)))) ((op (e5) (e4)) = (e0)) ((op (e4) (e0)) = (e4)) ### Trans-sym 1294 188 % 50.14/50.31 1296. ((op (op (e5) (e4)) (e0)) != (op (e5) (op (e4) (e0)))) ((op (e0) (e0)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e5) (e4)) = (e0)) ### Trans 1292 1295 % 50.14/50.31 1297. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.14/50.31 1298. ((op (op (e5) (e4)) (e1)) != (op (e0) (e1))) ((op (e5) (e4)) = (e0)) ### NotEqual 1297 192 % 50.14/50.31 1299. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom % 50.14/50.31 1300. ((op (e5) (op (e4) (e1))) != (op (e5) (e2))) ((op (e4) (e1)) = (e2)) ### NotEqual 214 1299 % 50.14/50.31 1301. ((e1) != (op (e5) (op (e4) (e1)))) ((op (e5) (e2)) = (e1)) ((op (e4) (e1)) = (e2)) ### Trans-sym 1300 192 % 50.14/50.31 1302. ((op (op (e5) (e4)) (e1)) != (op (e5) (op (e4) (e1)))) ((op (e0) (e1)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e5) (e2)) = (e1)) ((op (e5) (e4)) = (e0)) ### Trans 1298 1301 % 50.14/50.31 1303. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.14/50.31 1304. ((op (op (e5) (e4)) (e2)) != (op (e0) (e2))) ((op (e5) (e4)) = (e0)) ### NotEqual 1303 202 % 50.14/50.31 1305. ((op (e4) (e2)) = (e5)) ((op (e4) (e2)) != (e5)) ### Axiom % 50.14/50.31 1306. ((op (e5) (op (e4) (e2))) != (op (e5) (e5))) ((op (e4) (e2)) = (e5)) ### NotEqual 214 1305 % 50.14/50.31 1307. ((e2) != (op (e5) (op (e4) (e2)))) ((op (e5) (e5)) = (e2)) ((op (e4) (e2)) = (e5)) ### Trans-sym 1306 202 % 50.14/50.31 1308. ((op (op (e5) (e4)) (e2)) != (op (e5) (op (e4) (e2)))) ((op (e0) (e2)) = (e2)) ((op (e4) (e2)) = (e5)) ((op (e5) (e5)) = (e2)) ((op (e5) (e4)) = (e0)) ### Trans 1304 1307 % 50.14/50.31 1309. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.14/50.31 1310. ((op (op (e5) (e4)) (e3)) != (op (e0) (e3))) ((op (e5) (e4)) = (e0)) ### NotEqual 1309 210 % 50.14/50.31 1311. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom % 50.14/50.31 1312. ((op (e5) (op (e4) (e3))) != (op (e5) (e1))) ((op (e4) (e3)) = (e1)) ### NotEqual 214 1311 % 50.14/50.31 1313. ((e3) != (op (e5) (op (e4) (e3)))) ((op (e5) (e1)) = (e3)) ((op (e4) (e3)) = (e1)) ### Trans-sym 1312 210 % 50.14/50.31 1314. ((op (op (e5) (e4)) (e3)) != (op (e5) (op (e4) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e4) (e3)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e5) (e4)) = (e0)) ### Trans 1310 1313 % 50.14/50.31 1315. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.14/50.31 1316. ((op (op (e5) (e4)) (e4)) != (op (e0) (e4))) ((op (e5) (e4)) = (e0)) ### NotEqual 1315 206 % 50.14/50.31 1317. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom % 50.14/50.31 1318. ((op (e5) (op (e4) (e4))) != (op (e5) (e3))) ((op (e4) (e4)) = (e3)) ### NotEqual 214 1317 % 50.14/50.31 1319. ((e4) != (op (e5) (op (e4) (e4)))) ((op (e5) (e3)) = (e4)) ((op (e4) (e4)) = (e3)) ### Trans-sym 1318 206 % 50.14/50.31 1320. ((op (op (e5) (e4)) (e4)) != (op (e5) (op (e4) (e4)))) ((op (e0) (e4)) = (e4)) ((op (e4) (e4)) = (e3)) ((op (e5) (e3)) = (e4)) ((op (e5) (e4)) = (e0)) ### Trans 1316 1319 % 50.14/50.31 1321. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.14/50.31 1322. ((op (op (e5) (e4)) (e5)) != (op (e0) (e5))) ((op (e5) (e4)) = (e0)) ### NotEqual 1321 214 % 50.14/50.31 1323. ((op (e4) (e5)) = (e0)) ((op (e4) (e5)) != (e0)) ### Axiom % 50.14/50.31 1324. ((op (e5) (op (e4) (e5))) != (op (e5) (e0))) ((op (e4) (e5)) = (e0)) ### NotEqual 214 1323 % 50.14/50.31 1325. ((e5) != (op (e5) (op (e4) (e5)))) ((op (e5) (e0)) = (e5)) ((op (e4) (e5)) = (e0)) ### Trans-sym 1324 214 % 50.14/50.31 1326. ((op (op (e5) (e4)) (e5)) != (op (e5) (op (e4) (e5)))) ((op (e0) (e5)) = (e5)) ((op (e4) (e5)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e4)) = (e0)) ### Trans 1322 1325 % 50.14/50.31 1327. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.14/50.31 1328. ((op (op (e5) (e5)) (e0)) != (op (e2) (e0))) ((op (e5) (e5)) = (e2)) ### NotEqual 1327 188 % 50.14/50.31 1329. ((op (e5) (e0)) = (e5)) ((op (e5) (e0)) != (e5)) ### Axiom % 50.14/50.31 1330. ((op (e5) (op (e5) (e0))) != (op (e5) (e5))) ((op (e5) (e0)) = (e5)) ### NotEqual 214 1329 % 50.14/50.31 1331. ((e2) != (op (e5) (op (e5) (e0)))) ((op (e5) (e5)) = (e2)) ((op (e5) (e0)) = (e5)) ### Trans-sym 1330 202 % 50.14/50.31 1332. ((op (op (e5) (e5)) (e0)) != (op (e5) (op (e5) (e0)))) ((op (e2) (e0)) = (e2)) ((op (e5) (e0)) = (e5)) ((op (e5) (e5)) = (e2)) ### Trans 1328 1331 % 50.14/50.31 1333. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.14/50.31 1334. ((op (op (e5) (e5)) (e1)) != (op (e2) (e1))) ((op (e5) (e5)) = (e2)) ### NotEqual 1333 192 % 50.14/50.31 1335. ((op (e5) (e1)) = (e3)) ((op (e5) (e1)) != (e3)) ### Axiom % 50.14/50.31 1336. ((op (e5) (op (e5) (e1))) != (op (e5) (e3))) ((op (e5) (e1)) = (e3)) ### NotEqual 214 1335 % 50.14/50.31 1337. ((e4) != (op (e5) (op (e5) (e1)))) ((op (e5) (e3)) = (e4)) ((op (e5) (e1)) = (e3)) ### Trans-sym 1336 206 % 50.14/50.31 1338. ((op (op (e5) (e5)) (e1)) != (op (e5) (op (e5) (e1)))) ((op (e2) (e1)) = (e4)) ((op (e5) (e1)) = (e3)) ((op (e5) (e3)) = (e4)) ((op (e5) (e5)) = (e2)) ### Trans 1334 1337 % 50.14/50.31 1339. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.14/50.31 1340. ((op (op (e5) (e5)) (e2)) != (op (e2) (e2))) ((op (e5) (e5)) = (e2)) ### NotEqual 1339 202 % 50.14/50.31 1341. ((op (e5) (e2)) = (e1)) ((op (e5) (e2)) != (e1)) ### Axiom % 50.14/50.31 1342. ((op (e5) (op (e5) (e2))) != (op (e5) (e1))) ((op (e5) (e2)) = (e1)) ### NotEqual 214 1341 % 50.14/50.31 1343. ((e3) != (op (e5) (op (e5) (e2)))) ((op (e5) (e1)) = (e3)) ((op (e5) (e2)) = (e1)) ### Trans-sym 1342 210 % 50.14/50.31 1344. ((op (op (e5) (e5)) (e2)) != (op (e5) (op (e5) (e2)))) ((op (e2) (e2)) = (e3)) ((op (e5) (e2)) = (e1)) ((op (e5) (e1)) = (e3)) ((op (e5) (e5)) = (e2)) ### Trans 1340 1343 % 50.14/50.31 1345. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.14/50.31 1346. ((op (op (e5) (e5)) (e3)) != (op (e2) (e3))) ((op (e5) (e5)) = (e2)) ### NotEqual 1345 210 % 50.14/50.31 1347. ((op (e5) (e3)) = (e4)) ((op (e5) (e3)) != (e4)) ### Axiom % 50.14/50.31 1348. ((op (e5) (op (e5) (e3))) != (op (e5) (e4))) ((op (e5) (e3)) = (e4)) ### NotEqual 214 1347 % 50.14/50.31 1349. ((e0) != (op (e5) (op (e5) (e3)))) ((op (e5) (e4)) = (e0)) ((op (e5) (e3)) = (e4)) ### Trans-sym 1348 188 % 50.14/50.31 1350. ((op (op (e5) (e5)) (e3)) != (op (e5) (op (e5) (e3)))) ((op (e2) (e3)) = (e0)) ((op (e5) (e3)) = (e4)) ((op (e5) (e4)) = (e0)) ((op (e5) (e5)) = (e2)) ### Trans 1346 1349 % 50.14/50.31 1351. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.14/50.31 1352. ((op (op (e5) (e5)) (e4)) != (op (e2) (e4))) ((op (e5) (e5)) = (e2)) ### NotEqual 1351 206 % 50.14/50.31 1353. ((op (e5) (e4)) = (e0)) ((op (e5) (e4)) != (e0)) ### Axiom % 50.14/50.31 1354. ((op (e5) (op (e5) (e4))) != (op (e5) (e0))) ((op (e5) (e4)) = (e0)) ### NotEqual 214 1353 % 50.14/50.31 1355. ((e5) != (op (e5) (op (e5) (e4)))) ((op (e5) (e0)) = (e5)) ((op (e5) (e4)) = (e0)) ### Trans-sym 1354 214 % 50.14/50.31 1356. ((op (op (e5) (e5)) (e4)) != (op (e5) (op (e5) (e4)))) ((op (e2) (e4)) = (e5)) ((op (e5) (e4)) = (e0)) ((op (e5) (e0)) = (e5)) ((op (e5) (e5)) = (e2)) ### Trans 1352 1355 % 50.14/50.31 1357. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.14/50.31 1358. ((op (op (e5) (e5)) (e5)) != (op (e2) (e5))) ((op (e5) (e5)) = (e2)) ### NotEqual 1357 214 % 50.14/50.31 1359. ((op (e5) (e5)) = (e2)) ((op (e5) (e5)) != (e2)) ### Axiom % 50.14/50.31 1360. ((op (e5) (op (e5) (e5))) != (op (e5) (e2))) ((op (e5) (e5)) = (e2)) ### NotEqual 214 1359 % 50.14/50.31 1361. ((e1) != (op (e5) (op (e5) (e5)))) ((op (e5) (e2)) = (e1)) ((op (e5) (e5)) = (e2)) ### Trans-sym 1360 192 % 50.14/50.31 1362. ((op (op (e5) (e5)) (e5)) != (op (e5) (op (e5) (e5)))) ((op (e2) (e5)) = (e1)) ((op (e5) (e2)) = (e1)) ((op (e5) (e5)) = (e2)) ### Trans 1358 1361 % 50.14/50.31 1363. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1364. ((op (unit) (e0)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 1363 188 % 50.14/50.31 1365. ((op (unit) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 1364 188 % 50.14/50.31 1366. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1367. ((op (e0) (unit)) != (op (e0) (e0))) ((unit) = (e0)) ### NotEqual 188 1366 % 50.14/50.31 1368. ((op (e0) (unit)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ### Trans 1367 188 % 50.14/50.31 1369. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1370. ((op (unit) (e1)) != (op (e0) (e1))) ((unit) = (e0)) ### NotEqual 1369 192 % 50.14/50.31 1371. ((op (unit) (e1)) != (e1)) ((op (e0) (e1)) = (e1)) ((unit) = (e0)) ### Trans 1370 192 % 50.14/50.31 1372. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1373. ((op (e1) (unit)) != (op (e1) (e0))) ((unit) = (e0)) ### NotEqual 192 1372 % 50.14/50.31 1374. ((op (e1) (unit)) != (e1)) ((op (e1) (e0)) = (e1)) ((unit) = (e0)) ### Trans 1373 192 % 50.14/50.31 1375. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1376. ((op (unit) (e2)) != (op (e0) (e2))) ((unit) = (e0)) ### NotEqual 1375 202 % 50.14/50.31 1377. ((op (unit) (e2)) != (e2)) ((op (e0) (e2)) = (e2)) ((unit) = (e0)) ### Trans 1376 202 % 50.14/50.31 1378. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1379. ((op (e2) (unit)) != (op (e2) (e0))) ((unit) = (e0)) ### NotEqual 202 1378 % 50.14/50.31 1380. ((op (e2) (unit)) != (e2)) ((op (e2) (e0)) = (e2)) ((unit) = (e0)) ### Trans 1379 202 % 50.14/50.31 1381. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1382. ((op (unit) (e3)) != (op (e0) (e3))) ((unit) = (e0)) ### NotEqual 1381 210 % 50.14/50.31 1383. ((op (unit) (e3)) != (e3)) ((op (e0) (e3)) = (e3)) ((unit) = (e0)) ### Trans 1382 210 % 50.14/50.31 1384. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1385. ((op (e3) (unit)) != (op (e3) (e0))) ((unit) = (e0)) ### NotEqual 210 1384 % 50.14/50.31 1386. ((op (e3) (unit)) != (e3)) ((op (e3) (e0)) = (e3)) ((unit) = (e0)) ### Trans 1385 210 % 50.14/50.31 1387. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1388. ((op (unit) (e4)) != (op (e0) (e4))) ((unit) = (e0)) ### NotEqual 1387 206 % 50.14/50.31 1389. ((op (unit) (e4)) != (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e0)) ### Trans 1388 206 % 50.14/50.31 1390. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1391. ((op (e4) (unit)) != (op (e4) (e0))) ((unit) = (e0)) ### NotEqual 206 1390 % 50.14/50.31 1392. ((op (e4) (unit)) != (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e0)) ### Trans 1391 206 % 50.14/50.31 1393. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1394. ((op (unit) (e5)) != (op (e0) (e5))) ((unit) = (e0)) ### NotEqual 1393 214 % 50.14/50.31 1395. ((op (unit) (e5)) != (e5)) ((op (e0) (e5)) = (e5)) ((unit) = (e0)) ### Trans 1394 214 % 50.14/50.31 1396. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1397. ((op (e5) (unit)) != (op (e5) (e0))) ((unit) = (e0)) ### NotEqual 214 1396 % 50.14/50.31 1398. ((op (e5) (unit)) != (e5)) ((op (e5) (e0)) = (e5)) ((unit) = (e0)) ### Trans 1397 214 % 50.14/50.31 1399. ((unit) = (e0)) ((unit) != (e0)) ### Axiom % 50.14/50.31 1400. (-. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ (((unit) = (e4)) \/ ((unit) = (e5)))))))) ((unit) = (e0)) ### ConjTree 1399 % 50.14/50.31 1401. ((inv (e0)) = (e0)) ((inv (e0)) != (e0)) ### Axiom % 50.14/50.31 1402. ((op (e0) (inv (e0))) != (op (e0) (e0))) ((inv (e0)) = (e0)) ### NotEqual 188 1401 % 50.14/50.31 1403. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1404. ((op (e0) (inv (e0))) != (unit)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ((inv (e0)) = (e0)) ### Trans 1402 1403 % 50.14/50.31 1405. ((inv (e0)) = (e0)) ((inv (e0)) != (e0)) ### Axiom % 50.14/50.31 1406. ((op (inv (e0)) (e0)) != (op (e0) (e0))) ((inv (e0)) = (e0)) ### NotEqual 1405 188 % 50.14/50.31 1407. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1408. ((op (inv (e0)) (e0)) != (unit)) ((op (e0) (e0)) = (e0)) ((unit) = (e0)) ((inv (e0)) = (e0)) ### Trans 1406 1407 % 50.14/50.31 1409. ((inv (e1)) = (e1)) ((inv (e1)) != (e1)) ### Axiom % 50.14/50.31 1410. ((op (e1) (inv (e1))) != (op (e1) (e1))) ((inv (e1)) = (e1)) ### NotEqual 192 1409 % 50.14/50.31 1411. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1412. ((op (e1) (inv (e1))) != (unit)) ((op (e1) (e1)) = (e0)) ((unit) = (e0)) ((inv (e1)) = (e1)) ### Trans 1410 1411 % 50.14/50.31 1413. ((inv (e1)) = (e1)) ((inv (e1)) != (e1)) ### Axiom % 50.14/50.31 1414. ((op (inv (e1)) (e1)) != (op (e1) (e1))) ((inv (e1)) = (e1)) ### NotEqual 1413 192 % 50.14/50.31 1415. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1416. ((op (inv (e1)) (e1)) != (unit)) ((op (e1) (e1)) = (e0)) ((unit) = (e0)) ((inv (e1)) = (e1)) ### Trans 1414 1415 % 50.14/50.31 1417. ((inv (e2)) = (e3)) ((inv (e2)) != (e3)) ### Axiom % 50.14/50.31 1418. ((op (e2) (inv (e2))) != (op (e2) (e3))) ((inv (e2)) = (e3)) ### NotEqual 202 1417 % 50.14/50.31 1419. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1420. ((op (e2) (inv (e2))) != (unit)) ((op (e2) (e3)) = (e0)) ((unit) = (e0)) ((inv (e2)) = (e3)) ### Trans 1418 1419 % 50.14/50.31 1421. ((inv (e2)) = (e3)) ((inv (e2)) != (e3)) ### Axiom % 50.14/50.31 1422. ((op (inv (e2)) (e2)) != (op (e3) (e2))) ((inv (e2)) = (e3)) ### NotEqual 1421 202 % 50.14/50.31 1423. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1424. ((op (inv (e2)) (e2)) != (unit)) ((op (e3) (e2)) = (e0)) ((unit) = (e0)) ((inv (e2)) = (e3)) ### Trans 1422 1423 % 50.14/50.31 1425. ((inv (e3)) = (e2)) ((inv (e3)) != (e2)) ### Axiom % 50.14/50.31 1426. ((op (e3) (inv (e3))) != (op (e3) (e2))) ((inv (e3)) = (e2)) ### NotEqual 210 1425 % 50.14/50.31 1427. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1428. ((op (e3) (inv (e3))) != (unit)) ((op (e3) (e2)) = (e0)) ((unit) = (e0)) ((inv (e3)) = (e2)) ### Trans 1426 1427 % 50.14/50.31 1429. ((inv (e3)) = (e2)) ((inv (e3)) != (e2)) ### Axiom % 50.14/50.31 1430. ((op (inv (e3)) (e3)) != (op (e2) (e3))) ((inv (e3)) = (e2)) ### NotEqual 1429 210 % 50.14/50.31 1431. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1432. ((op (inv (e3)) (e3)) != (unit)) ((op (e2) (e3)) = (e0)) ((unit) = (e0)) ((inv (e3)) = (e2)) ### Trans 1430 1431 % 50.14/50.31 1433. ((inv (e4)) = (e5)) ((inv (e4)) != (e5)) ### Axiom % 50.14/50.31 1434. ((op (e4) (inv (e4))) != (op (e4) (e5))) ((inv (e4)) = (e5)) ### NotEqual 206 1433 % 50.14/50.31 1435. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1436. ((op (e4) (inv (e4))) != (unit)) ((op (e4) (e5)) = (e0)) ((unit) = (e0)) ((inv (e4)) = (e5)) ### Trans 1434 1435 % 50.14/50.31 1437. ((inv (e4)) = (e5)) ((inv (e4)) != (e5)) ### Axiom % 50.14/50.31 1438. ((op (inv (e4)) (e4)) != (op (e5) (e4))) ((inv (e4)) = (e5)) ### NotEqual 1437 206 % 50.14/50.31 1439. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1440. ((op (inv (e4)) (e4)) != (unit)) ((op (e5) (e4)) = (e0)) ((unit) = (e0)) ((inv (e4)) = (e5)) ### Trans 1438 1439 % 50.14/50.31 1441. ((inv (e5)) = (e4)) ((inv (e5)) != (e4)) ### Axiom % 50.14/50.31 1442. ((op (e5) (inv (e5))) != (op (e5) (e4))) ((inv (e5)) = (e4)) ### NotEqual 214 1441 % 50.14/50.31 1443. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1444. ((op (e5) (inv (e5))) != (unit)) ((op (e5) (e4)) = (e0)) ((unit) = (e0)) ((inv (e5)) = (e4)) ### Trans 1442 1443 % 50.14/50.31 1445. ((inv (e5)) = (e4)) ((inv (e5)) != (e4)) ### Axiom % 50.14/50.31 1446. ((op (inv (e5)) (e5)) != (op (e4) (e5))) ((inv (e5)) = (e4)) ### NotEqual 1445 214 % 50.14/50.31 1447. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=) % 50.14/50.31 1448. ((op (inv (e5)) (e5)) != (unit)) ((op (e4) (e5)) = (e0)) ((unit) = (e0)) ((inv (e5)) = (e4)) ### Trans 1446 1447 % 50.14/50.31 1449. ((inv (e0)) = (e0)) ((inv (e0)) != (e0)) ### Axiom % 50.14/50.31 1450. (-. (((inv (e0)) = (e0)) \/ (((inv (e0)) = (e1)) \/ (((inv (e0)) = (e2)) \/ (((inv (e0)) = (e3)) \/ (((inv (e0)) = (e4)) \/ ((inv (e0)) = (e5)))))))) ((inv (e0)) = (e0)) ### ConjTree 1449 % 50.14/50.31 1451. ((inv (e1)) = (e1)) ((inv (e1)) != (e1)) ### Axiom % 50.14/50.31 1452. (-. (((inv (e1)) = (e0)) \/ (((inv (e1)) = (e1)) \/ (((inv (e1)) = (e2)) \/ (((inv (e1)) = (e3)) \/ (((inv (e1)) = (e4)) \/ ((inv (e1)) = (e5)))))))) ((inv (e1)) = (e1)) ### ConjTree 1451 % 50.14/50.31 1453. ((inv (e2)) = (e3)) ((inv (e2)) != (e3)) ### Axiom % 50.14/50.31 1454. (-. (((inv (e2)) = (e0)) \/ (((inv (e2)) = (e1)) \/ (((inv (e2)) = (e2)) \/ (((inv (e2)) = (e3)) \/ (((inv (e2)) = (e4)) \/ ((inv (e2)) = (e5)))))))) ((inv (e2)) = (e3)) ### ConjTree 1453 % 50.14/50.31 1455. ((inv (e3)) = (e2)) ((inv (e3)) != (e2)) ### Axiom % 50.14/50.31 1456. (-. (((inv (e3)) = (e0)) \/ (((inv (e3)) = (e1)) \/ (((inv (e3)) = (e2)) \/ (((inv (e3)) = (e3)) \/ (((inv (e3)) = (e4)) \/ ((inv (e3)) = (e5)))))))) ((inv (e3)) = (e2)) ### ConjTree 1455 % 50.14/50.31 1457. ((inv (e4)) = (e5)) ((inv (e4)) != (e5)) ### Axiom % 50.14/50.31 1458. (-. (((inv (e4)) = (e0)) \/ (((inv (e4)) = (e1)) \/ (((inv (e4)) = (e2)) \/ (((inv (e4)) = (e3)) \/ (((inv (e4)) = (e4)) \/ ((inv (e4)) = (e5)))))))) ((inv (e4)) = (e5)) ### ConjTree 1457 % 50.14/50.31 1459. ((inv (e5)) = (e4)) ((inv (e5)) != (e4)) ### Axiom % 50.14/50.31 1460. (-. (((inv (e5)) = (e0)) \/ (((inv (e5)) = (e1)) \/ (((inv (e5)) = (e2)) \/ (((inv (e5)) = (e3)) \/ (((inv (e5)) = (e4)) \/ ((inv (e5)) = (e5)))))))) ((inv (e5)) = (e4)) ### ConjTree 1459 % 50.14/50.31 1461. (-. (((op (e0) (e0)) = (op (e0) (e0))) /\ (((op (e0) (e1)) = (op (e1) (e0))) /\ (((op (e0) (e2)) = (op (e2) (e0))) /\ (((op (e0) (e3)) = (op (e3) (e0))) /\ (((op (e0) (e4)) = (op (e4) (e0))) /\ (((op (e0) (e5)) = (op (e5) (e0))) /\ (((op (e1) (e0)) = (op (e0) (e1))) /\ (((op (e1) (e1)) = (op (e1) (e1))) /\ (((op (e1) (e2)) = (op (e2) (e1))) /\ (((op (e1) (e3)) = (op (e3) (e1))) /\ (((op (e1) (e4)) = (op (e4) (e1))) /\ (((op (e1) (e5)) = (op (e5) (e1))) /\ (((op (e2) (e0)) = (op (e0) (e2))) /\ (((op (e2) (e1)) = (op (e1) (e2))) /\ (((op (e2) (e2)) = (op (e2) (e2))) /\ (((op (e2) (e3)) = (op (e3) (e2))) /\ (((op (e2) (e4)) = (op (e4) (e2))) /\ (((op (e2) (e5)) = (op (e5) (e2))) /\ (((op (e3) (e0)) = (op (e0) (e3))) /\ (((op (e3) (e1)) = (op (e1) (e3))) /\ (((op (e3) (e2)) = (op (e2) (e3))) /\ (((op (e3) (e3)) = (op (e3) (e3))) /\ (((op (e3) (e4)) = (op (e4) (e3))) /\ (((op (e3) (e5)) = (op (e5) (e3))) /\ (((op (e4) (e0)) = (op (e0) (e4))) /\ (((op (e4) (e1)) = (op (e1) (e4))) /\ (((op (e4) (e2)) = (op (e2) (e4))) /\ (((op (e4) (e3)) = (op (e3) (e4))) /\ (((op (e4) (e4)) = (op (e4) (e4))) /\ (((op (e4) (e5)) = (op (e5) (e4))) /\ (((op (e5) (e0)) = (op (e0) (e5))) /\ (((op (e5) (e1)) = (op (e1) (e5))) /\ (((op (e5) (e2)) = (op (e2) (e5))) /\ (((op (e5) (e3)) = (op (e3) (e5))) /\ (((op (e5) (e4)) = (op (e4) (e5))) /\ (((op (e5) (e5)) = (op (e5) (e5))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e0)) = (e4)) \/ ((op (e0) (e0)) = (e5))))))) /\ ((((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) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e2)) = (e4)) \/ ((op (e0) (e2)) = (e5))))))) /\ ((((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) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ (((op (e0) (e4)) = (e4)) \/ ((op (e0) (e4)) = (e5))))))) /\ ((((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 (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) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e4)) \/ ((op (e1) (e1)) = (e5))))))) /\ ((((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) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e3)) = (e5))))))) /\ ((((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) (e5)) = (e0)) \/ (((op (e1) (e5)) = (e1)) \/ (((op (e1) (e5)) = (e2)) \/ (((op (e1) (e5)) = (e3)) \/ (((op (e1) (e5)) = (e4)) \/ ((op (e1) (e5)) = (e5))))))) /\ ((((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) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e4)) \/ ((op (e2) (e1)) = (e5))))))) /\ ((((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) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e3)) = (e5))))))) /\ ((((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) (e5)) = (e0)) \/ (((op (e2) (e5)) = (e1)) \/ (((op (e2) (e5)) = (e2)) \/ (((op (e2) (e5)) = (e3)) \/ (((op (e2) (e5)) = (e4)) \/ ((op (e2) (e5)) = (e5))))))) /\ ((((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) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e3) (e1)) = (e5))))))) /\ ((((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) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e3)) = (e5))))))) /\ ((((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) (e5)) = (e0)) \/ (((op (e3) (e5)) = (e1)) \/ (((op (e3) (e5)) = (e2)) \/ (((op (e3) (e5)) = (e3)) \/ (((op (e3) (e5)) = (e4)) \/ ((op (e3) (e5)) = (e5))))))) /\ ((((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) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e5))))))) /\ ((((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) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e5))))))) /\ ((((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) (e5)) = (e0)) \/ (((op (e4) (e5)) = (e1)) \/ (((op (e4) (e5)) = (e2)) \/ (((op (e4) (e5)) = (e3)) \/ (((op (e4) (e5)) = (e4)) \/ ((op (e4) (e5)) = (e5))))))) /\ ((((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) (e1)) = (e0)) \/ (((op (e5) (e1)) = (e1)) \/ (((op (e5) (e1)) = (e2)) \/ (((op (e5) (e1)) = (e3)) \/ (((op (e5) (e1)) = (e4)) \/ ((op (e5) (e1)) = (e5))))))) /\ ((((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) (e3)) = (e0)) \/ (((op (e5) (e3)) = (e1)) \/ (((op (e5) (e3)) = (e2)) \/ (((op (e5) (e3)) = (e3)) \/ (((op (e5) (e3)) = (e4)) \/ ((op (e5) (e3)) = (e5))))))) /\ ((((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) (e5)) = (e0)) \/ (((op (e5) (e5)) = (e1)) \/ (((op (e5) (e5)) = (e2)) \/ (((op (e5) (e5)) = (e3)) \/ (((op (e5) (e5)) = (e4)) \/ ((op (e5) (e5)) = (e5))))))) /\ (((op (op (e0) (e0)) (e0)) = (op (e0) (op (e0) (e0)))) /\ (((op (op (e0) (e0)) (e1)) = (op (e0) (op (e0) (e1)))) /\ (((op (op (e0) (e0)) (e2)) = (op (e0) (op (e0) (e2)))) /\ (((op (op (e0) (e0)) (e3)) = (op (e0) (op (e0) (e3)))) /\ (((op (op (e0) (e0)) (e4)) = (op (e0) (op (e0) (e4)))) /\ (((op (op (e0) (e0)) (e5)) = (op (e0) (op (e0) (e5)))) /\ (((op (op (e0) (e1)) (e0)) = (op (e0) (op (e1) (e0)))) /\ (((op (op (e0) (e1)) (e1)) = (op (e0) (op (e1) (e1)))) /\ (((op (op (e0) (e1)) (e2)) = (op (e0) (op (e1) (e2)))) /\ (((op (op (e0) (e1)) (e3)) = (op (e0) (op (e1) (e3)))) /\ (((op (op (e0) (e1)) (e4)) = (op (e0) (op (e1) (e4)))) /\ (((op (op (e0) (e1)) (e5)) = (op (e0) (op (e1) (e5)))) /\ (((op (op (e0) (e2)) (e0)) = (op (e0) (op (e2) (e0)))) /\ (((op (op (e0) (e2)) (e1)) = (op (e0) (op (e2) (e1)))) /\ (((op (op (e0) (e2)) (e2)) = (op (e0) (op (e2) (e2)))) /\ (((op (op (e0) (e2)) (e3)) = (op (e0) (op (e2) (e3)))) /\ (((op (op (e0) (e2)) (e4)) = (op (e0) (op (e2) (e4)))) /\ (((op (op (e0) (e2)) (e5)) = (op (e0) (op (e2) (e5)))) /\ (((op (op (e0) (e3)) (e0)) = (op (e0) (op (e3) (e0)))) /\ (((op (op (e0) (e3)) (e1)) = (op (e0) (op (e3) (e1)))) /\ (((op (op (e0) (e3)) (e2)) = (op (e0) (op (e3) (e2)))) /\ (((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) /\ (((op (op (e0) (e3)) (e4)) = (op (e0) (op (e3) (e4)))) /\ (((op (op (e0) (e3)) (e5)) = (op (e0) (op (e3) (e5)))) /\ 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(e2)) (e4)) = (op (e5) (op (e2) (e4)))) /\ (((op (op (e5) (e2)) (e5)) = (op (e5) (op (e2) (e5)))) /\ (((op (op (e5) (e3)) (e0)) = (op (e5) (op (e3) (e0)))) /\ (((op (op (e5) (e3)) (e1)) = (op (e5) (op (e3) (e1)))) /\ (((op (op (e5) (e3)) (e2)) = (op (e5) (op (e3) (e2)))) /\ (((op (op (e5) (e3)) (e3)) = (op (e5) (op (e3) (e3)))) /\ (((op (op (e5) (e3)) (e4)) = (op (e5) (op (e3) (e4)))) /\ (((op (op (e5) (e3)) (e5)) = (op (e5) (op (e3) (e5)))) /\ (((op (op (e5) (e4)) (e0)) = (op (e5) (op (e4) (e0)))) /\ (((op (op (e5) (e4)) (e1)) = (op (e5) (op (e4) (e1)))) /\ (((op (op (e5) (e4)) (e2)) = (op (e5) (op (e4) (e2)))) /\ (((op (op (e5) (e4)) (e3)) = (op (e5) (op (e4) (e3)))) /\ (((op (op (e5) (e4)) (e4)) = (op (e5) (op (e4) (e4)))) /\ (((op (op (e5) (e4)) (e5)) = (op (e5) (op (e4) (e5)))) /\ (((op (op (e5) (e5)) (e0)) = (op (e5) (op (e5) (e0)))) /\ (((op (op (e5) (e5)) (e1)) = (op (e5) (op (e5) (e1)))) /\ (((op (op (e5) (e5)) (e2)) = (op (e5) (op (e5) (e2)))) /\ (((op (op (e5) (e5)) (e3)) = (op (e5) (op (e5) (e3)))) /\ (((op (op (e5) (e5)) (e4)) = (op (e5) (op (e5) (e4)))) /\ (((op (op (e5) (e5)) (e5)) = (op (e5) (op (e5) (e5)))) /\ (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ (((op (unit) (e4)) = (e4)) /\ (((op (e4) (unit)) = (e4)) /\ (((op (unit) (e5)) = (e5)) /\ (((op (e5) (unit)) = (e5)) /\ ((((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ (((unit) = (e4)) \/ ((unit) = (e5))))))) /\ (((op (e0) (inv (e0))) = (unit)) /\ (((op (inv (e0)) (e0)) = (unit)) /\ (((op (e1) (inv (e1))) = (unit)) /\ (((op (inv (e1)) (e1)) = (unit)) /\ (((op (e2) (inv (e2))) = (unit)) /\ (((op (inv (e2)) (e2)) = (unit)) /\ (((op (e3) (inv (e3))) = (unit)) /\ (((op (inv (e3)) (e3)) = (unit)) /\ (((op (e4) (inv (e4))) = (unit)) /\ (((op (inv (e4)) (e4)) = (unit)) /\ (((op (e5) (inv (e5))) = (unit)) /\ (((op (inv (e5)) (e5)) = (unit)) /\ ((((inv (e0)) = (e0)) \/ (((inv (e0)) = (e1)) \/ (((inv (e0)) = (e2)) \/ (((inv (e0)) = (e3)) \/ (((inv (e0)) = (e4)) \/ ((inv (e0)) = (e5))))))) /\ ((((inv (e1)) = (e0)) \/ (((inv (e1)) = (e1)) \/ (((inv (e1)) = (e2)) \/ (((inv (e1)) = (e3)) \/ (((inv (e1)) = (e4)) \/ ((inv (e1)) = (e5))))))) /\ ((((inv (e2)) = (e0)) \/ (((inv (e2)) = (e1)) \/ (((inv (e2)) = (e2)) \/ (((inv (e2)) = (e3)) \/ (((inv (e2)) = (e4)) \/ ((inv (e2)) = (e5))))))) /\ ((((inv (e3)) = (e0)) \/ (((inv (e3)) = (e1)) \/ (((inv (e3)) = (e2)) \/ (((inv (e3)) = (e3)) \/ (((inv (e3)) = (e4)) \/ ((inv (e3)) = (e5))))))) /\ ((((inv (e4)) = (e0)) \/ (((inv (e4)) = (e1)) \/ (((inv (e4)) = (e2)) \/ (((inv (e4)) = (e3)) \/ (((inv (e4)) = (e4)) \/ ((inv (e4)) = (e5))))))) /\ (((inv (e5)) = (e0)) \/ (((inv (e5)) = (e1)) \/ (((inv (e5)) = (e2)) \/ (((inv (e5)) = (e3)) \/ (((inv (e5)) = (e4)) \/ ((inv (e5)) = (e5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((unit) = (e0)) (((inv (e0)) = (e0)) /\ (((inv (e1)) = (e1)) /\ (((inv (e2)) = (e3)) /\ (((inv (e3)) = (e2)) /\ (((inv (e4)) = (e5)) /\ ((inv (e5)) = (e4))))))) ### ConjTree 1462 % 50.14/50.32 % SZS output end Proof % 50.14/50.32 (* END-PROOF *) %------------------------------------------------------------------------------