TSTP Solution File: ALG189+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG189+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 18:06:11 EDT 2022
% Result : Theorem 0.93s 1.13s
% Output : Proof 0.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG189+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 01:41:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.93/1.13 % SZS status Theorem
% 0.93/1.13 (* PROOF-FOUND *)
% 0.93/1.13 (* BEGIN-PROOF *)
% 0.93/1.13 % SZS output start Proof
% 0.93/1.13 1. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.93/1.13 2. ((e0) != (e0)) ### NotEqual
% 0.93/1.13 3. ((op (op (e0) (e0)) (e0)) != (op (e0) (e0))) ((op (e0) (e0)) = (e0)) ### NotEqual 1 2
% 0.93/1.13 4. ((op (op (e0) (e0)) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Trans 3 2
% 0.93/1.13 5. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.93/1.13 6. ((e1) != (e1)) ### NotEqual
% 0.93/1.13 7. ((op (op (e0) (e1)) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ### NotEqual 5 6
% 0.93/1.13 8. ((op (op (e0) (e1)) (e1)) != (e0)) ((op (e3) (e1)) = (e0)) ((op (e0) (e1)) = (e3)) ### Trans 7 2
% 0.93/1.13 9. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.93/1.13 10. ((e2) != (e2)) ### NotEqual
% 0.93/1.13 11. ((op (op (e0) (e2)) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) = (e4)) ### NotEqual 9 10
% 0.93/1.13 12. ((op (op (e0) (e2)) (e2)) != (e0)) ((op (e4) (e2)) = (e0)) ((op (e0) (e2)) = (e4)) ### Trans 11 2
% 0.93/1.13 13. ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (e2)) ### Axiom
% 0.93/1.13 14. ((e3) != (e3)) ### NotEqual
% 0.93/1.13 15. ((op (op (e0) (e3)) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e2)) ### NotEqual 13 14
% 0.93/1.13 16. ((op (op (e0) (e3)) (e3)) != (e0)) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) ### Trans 15 2
% 0.93/1.13 17. ((op (e0) (e4)) = (e1)) ((op (e0) (e4)) != (e1)) ### Axiom
% 0.93/1.13 18. ((e4) != (e4)) ### NotEqual
% 0.93/1.13 19. ((op (op (e0) (e4)) (e4)) != (op (e1) (e4))) ((op (e0) (e4)) = (e1)) ### NotEqual 17 18
% 0.93/1.13 20. ((op (op (e0) (e4)) (e4)) != (e0)) ((op (e1) (e4)) = (e0)) ((op (e0) (e4)) = (e1)) ### Trans 19 2
% 0.93/1.13 21. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (e2)) ### Axiom
% 0.93/1.13 22. ((op (op (e1) (e0)) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ### NotEqual 21 2
% 0.93/1.13 23. ((op (op (e1) (e0)) (e0)) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ### Trans 22 6
% 0.93/1.13 24. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.93/1.13 25. ((op (op (e1) (e1)) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ### NotEqual 24 6
% 0.93/1.13 26. ((op (op (e1) (e1)) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Trans 25 6
% 0.93/1.13 27. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.93/1.13 28. ((op (op (e1) (e2)) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ### NotEqual 27 10
% 0.93/1.13 29. ((op (op (e1) (e2)) (e2)) != (e1)) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) = (e3)) ### Trans 28 6
% 0.93/1.13 30. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom
% 0.93/1.13 31. ((op (op (e1) (e3)) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) = (e4)) ### NotEqual 30 14
% 0.93/1.13 32. ((op (op (e1) (e3)) (e3)) != (e1)) ((op (e4) (e3)) = (e1)) ((op (e1) (e3)) = (e4)) ### Trans 31 6
% 0.93/1.13 33. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.93/1.13 34. ((op (op (e1) (e4)) (e4)) != (op (e0) (e4))) ((op (e1) (e4)) = (e0)) ### NotEqual 33 18
% 0.93/1.13 35. ((op (op (e1) (e4)) (e4)) != (e1)) ((op (e0) (e4)) = (e1)) ((op (e1) (e4)) = (e0)) ### Trans 34 6
% 0.93/1.13 36. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.93/1.13 37. ((op (op (e2) (e0)) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) = (e1)) ### NotEqual 36 2
% 0.93/1.13 38. ((op (op (e2) (e0)) (e0)) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ### Trans 37 10
% 0.93/1.13 39. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom
% 0.93/1.13 40. ((op (op (e2) (e1)) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) = (e4)) ### NotEqual 39 6
% 0.93/1.13 41. ((op (op (e2) (e1)) (e1)) != (e2)) ((op (e4) (e1)) = (e2)) ((op (e2) (e1)) = (e4)) ### Trans 40 10
% 0.93/1.13 42. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.93/1.13 43. ((op (op (e2) (e2)) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ### NotEqual 42 10
% 0.93/1.13 44. ((op (op (e2) (e2)) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Trans 43 10
% 0.93/1.13 45. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom
% 0.93/1.13 46. ((op (op (e2) (e3)) (e3)) != (op (e0) (e3))) ((op (e2) (e3)) = (e0)) ### NotEqual 45 14
% 0.93/1.13 47. ((op (op (e2) (e3)) (e3)) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ### Trans 46 10
% 0.93/1.13 48. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.93/1.13 49. ((op (op (e2) (e4)) (e4)) != (op (e3) (e4))) ((op (e2) (e4)) = (e3)) ### NotEqual 48 18
% 0.93/1.13 50. ((op (op (e2) (e4)) (e4)) != (e2)) ((op (e3) (e4)) = (e2)) ((op (e2) (e4)) = (e3)) ### Trans 49 10
% 0.93/1.13 51. ((op (e3) (e0)) = (e4)) ((op (e3) (e0)) != (e4)) ### Axiom
% 0.93/1.13 52. ((op (op (e3) (e0)) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) = (e4)) ### NotEqual 51 2
% 0.93/1.13 53. ((op (op (e3) (e0)) (e0)) != (e3)) ((op (e4) (e0)) = (e3)) ((op (e3) (e0)) = (e4)) ### Trans 52 14
% 0.93/1.13 54. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom
% 0.93/1.13 55. ((op (op (e3) (e1)) (e1)) != (op (e0) (e1))) ((op (e3) (e1)) = (e0)) ### NotEqual 54 6
% 0.93/1.13 56. ((op (op (e3) (e1)) (e1)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ### Trans 55 14
% 0.93/1.13 57. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 0.93/1.13 58. ((op (op (e3) (e2)) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e1)) ### NotEqual 57 10
% 0.93/1.13 59. ((op (op (e3) (e2)) (e2)) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) ### Trans 58 14
% 0.93/1.13 60. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.93/1.13 61. ((op (op (e3) (e3)) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ### NotEqual 60 14
% 0.93/1.13 62. ((op (op (e3) (e3)) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Trans 61 14
% 0.93/1.13 63. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom
% 0.93/1.13 64. ((op (op (e3) (e4)) (e4)) != (op (e2) (e4))) ((op (e3) (e4)) = (e2)) ### NotEqual 63 18
% 0.93/1.13 65. ((op (op (e3) (e4)) (e4)) != (e3)) ((op (e2) (e4)) = (e3)) ((op (e3) (e4)) = (e2)) ### Trans 64 14
% 0.93/1.13 66. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.93/1.13 67. ((op (op (e4) (e0)) (e0)) != (op (e3) (e0))) ((op (e4) (e0)) = (e3)) ### NotEqual 66 2
% 0.93/1.13 68. ((op (op (e4) (e0)) (e0)) != (e4)) ((op (e3) (e0)) = (e4)) ((op (e4) (e0)) = (e3)) ### Trans 67 18
% 0.93/1.13 69. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.93/1.13 70. ((op (op (e4) (e1)) (e1)) != (op (e2) (e1))) ((op (e4) (e1)) = (e2)) ### NotEqual 69 6
% 0.93/1.13 71. ((op (op (e4) (e1)) (e1)) != (e4)) ((op (e2) (e1)) = (e4)) ((op (e4) (e1)) = (e2)) ### Trans 70 18
% 0.93/1.13 72. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom
% 0.93/1.13 73. ((op (op (e4) (e2)) (e2)) != (op (e0) (e2))) ((op (e4) (e2)) = (e0)) ### NotEqual 72 10
% 0.93/1.13 74. ((op (op (e4) (e2)) (e2)) != (e4)) ((op (e0) (e2)) = (e4)) ((op (e4) (e2)) = (e0)) ### Trans 73 18
% 0.93/1.13 75. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom
% 0.93/1.13 76. ((op (op (e4) (e3)) (e3)) != (op (e1) (e3))) ((op (e4) (e3)) = (e1)) ### NotEqual 75 14
% 0.93/1.13 77. ((op (op (e4) (e3)) (e3)) != (e4)) ((op (e1) (e3)) = (e4)) ((op (e4) (e3)) = (e1)) ### Trans 76 18
% 0.93/1.13 78. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.93/1.13 79. ((op (op (e4) (e4)) (e4)) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ### NotEqual 78 18
% 0.93/1.13 80. ((op (op (e4) (e4)) (e4)) != (e4)) ((op (e4) (e4)) = (e4)) ### Trans 79 18
% 0.93/1.13 81. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.93/1.13 82. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ ((op (e0) (e0)) = (e4))))))) ((op (e0) (e0)) = (e0)) ### ConjTree 81
% 0.93/1.13 83. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.93/1.13 84. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ ((op (e0) (e1)) = (e4))))))) ((op (e0) (e1)) = (e3)) ### ConjTree 83
% 0.93/1.13 85. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.93/1.13 86. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e2)) = (e4))))))) ((op (e0) (e2)) = (e4)) ### ConjTree 85
% 0.93/1.13 87. ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (e2)) ### Axiom
% 0.93/1.13 88. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e3)) = (e4))))))) ((op (e0) (e3)) = (e2)) ### ConjTree 87
% 0.93/1.13 89. ((op (e0) (e4)) = (e1)) ((op (e0) (e4)) != (e1)) ### Axiom
% 0.93/1.13 90. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4))))))) ((op (e0) (e4)) = (e1)) ### ConjTree 89
% 0.93/1.13 91. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (e2)) ### Axiom
% 0.93/1.13 92. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ ((op (e1) (e0)) = (e4))))))) ((op (e1) (e0)) = (e2)) ### ConjTree 91
% 0.93/1.13 93. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.93/1.13 94. (-. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4))))))) ((op (e1) (e1)) = (e1)) ### ConjTree 93
% 0.93/1.13 95. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.93/1.13 96. (-. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e2)) = (e4))))))) ((op (e1) (e2)) = (e3)) ### ConjTree 95
% 0.93/1.13 97. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom
% 0.93/1.13 98. (-. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e3)) = (e4))))))) ((op (e1) (e3)) = (e4)) ### ConjTree 97
% 0.93/1.13 99. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.93/1.13 100. (-. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4))))))) ((op (e1) (e4)) = (e0)) ### ConjTree 99
% 0.93/1.13 101. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.93/1.13 102. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e2) (e0)) = (e4))))))) ((op (e2) (e0)) = (e1)) ### ConjTree 101
% 0.93/1.13 103. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom
% 0.93/1.13 104. (-. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 103
% 0.93/1.13 105. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.93/1.13 106. (-. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4))))))) ((op (e2) (e2)) = (e2)) ### ConjTree 105
% 0.93/1.13 107. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom
% 0.93/1.13 108. (-. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e3)) = (e4))))))) ((op (e2) (e3)) = (e0)) ### ConjTree 107
% 0.93/1.13 109. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.93/1.13 110. (-. (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4))))))) ((op (e2) (e4)) = (e3)) ### ConjTree 109
% 0.93/1.13 111. ((op (e3) (e0)) = (e4)) ((op (e3) (e0)) != (e4)) ### Axiom
% 0.93/1.13 112. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e4))))))) ((op (e3) (e0)) = (e4)) ### ConjTree 111
% 0.93/1.13 113. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom
% 0.93/1.13 114. (-. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4))))))) ((op (e3) (e1)) = (e0)) ### ConjTree 113
% 0.93/1.13 115. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 0.93/1.13 116. (-. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e4))))))) ((op (e3) (e2)) = (e1)) ### ConjTree 115
% 0.93/1.13 117. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.93/1.13 118. (-. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e4))))))) ((op (e3) (e3)) = (e3)) ### ConjTree 117
% 0.93/1.13 119. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom
% 0.93/1.13 120. (-. (((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e3) (e4)) = (e4))))))) ((op (e3) (e4)) = (e2)) ### ConjTree 119
% 0.93/1.13 121. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.93/1.13 122. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4))))))) ((op (e4) (e0)) = (e3)) ### ConjTree 121
% 0.93/1.13 123. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.93/1.13 124. (-. (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4))))))) ((op (e4) (e1)) = (e2)) ### ConjTree 123
% 0.93/1.13 125. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom
% 0.93/1.13 126. (-. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4))))))) ((op (e4) (e2)) = (e0)) ### ConjTree 125
% 0.93/1.13 127. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom
% 0.93/1.13 128. (-. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4))))))) ((op (e4) (e3)) = (e1)) ### ConjTree 127
% 0.93/1.13 129. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.93/1.13 130. (-. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 129
% 0.93/1.13 131. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.93/1.13 132. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e3)) = (e0)) \/ ((op (e0) (e4)) = (e0))))))) ((op (e0) (e0)) = (e0)) ### ConjTree 131
% 0.93/1.13 133. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.93/1.13 134. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e0)) \/ ((op (e4) (e0)) = (e0))))))) ((op (e0) (e0)) = (e0)) ### ConjTree 133
% 0.93/1.13 135. ((op (e0) (e4)) = (e1)) ((op (e0) (e4)) != (e1)) ### Axiom
% 0.93/1.13 136. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1))))))) ((op (e0) (e4)) = (e1)) ### ConjTree 135
% 0.93/1.13 137. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.93/1.13 138. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e1)) \/ ((op (e4) (e0)) = (e1))))))) ((op (e2) (e0)) = (e1)) ### ConjTree 137
% 0.93/1.13 139. ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (e2)) ### Axiom
% 0.93/1.13 140. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e4)) = (e2))))))) ((op (e0) (e3)) = (e2)) ### ConjTree 139
% 0.93/1.13 141. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (e2)) ### Axiom
% 0.93/1.13 142. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2))))))) ((op (e1) (e0)) = (e2)) ### ConjTree 141
% 0.93/1.13 143. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.93/1.13 144. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e4)) = (e3))))))) ((op (e0) (e1)) = (e3)) ### ConjTree 143
% 0.93/1.13 145. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.93/1.13 146. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e3))))))) ((op (e4) (e0)) = (e3)) ### ConjTree 145
% 0.93/1.13 147. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.93/1.13 148. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4))))))) ((op (e0) (e2)) = (e4)) ### ConjTree 147
% 0.98/1.13 149. ((op (e3) (e0)) = (e4)) ((op (e3) (e0)) != (e4)) ### Axiom
% 0.98/1.13 150. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4))))))) ((op (e3) (e0)) = (e4)) ### ConjTree 149
% 0.98/1.13 151. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.13 152. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ ((op (e1) (e4)) = (e0))))))) ((op (e1) (e4)) = (e0)) ### ConjTree 151
% 0.98/1.13 153. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom
% 0.98/1.13 154. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ ((op (e4) (e1)) = (e0))))))) ((op (e3) (e1)) = (e0)) ### ConjTree 153
% 0.98/1.13 155. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.13 156. (-. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ ((op (e1) (e4)) = (e1))))))) ((op (e1) (e1)) = (e1)) ### ConjTree 155
% 0.98/1.13 157. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.13 158. (-. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1))))))) ((op (e1) (e1)) = (e1)) ### ConjTree 157
% 0.98/1.13 159. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (e2)) ### Axiom
% 0.98/1.13 160. (-. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e4)) = (e2))))))) ((op (e1) (e0)) = (e2)) ### ConjTree 159
% 0.98/1.13 161. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.13 162. (-. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2))))))) ((op (e4) (e1)) = (e2)) ### ConjTree 161
% 0.98/1.13 163. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.13 164. (-. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3))))))) ((op (e1) (e2)) = (e3)) ### ConjTree 163
% 0.98/1.13 165. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.98/1.13 166. (-. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3))))))) ((op (e0) (e1)) = (e3)) ### ConjTree 165
% 0.98/1.13 167. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom
% 0.98/1.13 168. (-. (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4))))))) ((op (e1) (e3)) = (e4)) ### ConjTree 167
% 0.98/1.13 169. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom
% 0.98/1.13 170. (-. (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 169
% 0.98/1.13 171. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom
% 0.98/1.13 172. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e2) (e4)) = (e0))))))) ((op (e2) (e3)) = (e0)) ### ConjTree 171
% 0.98/1.13 173. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom
% 0.98/1.13 174. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e4) (e2)) = (e0))))))) ((op (e4) (e2)) = (e0)) ### ConjTree 173
% 0.98/1.13 175. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.98/1.13 176. (-. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1))))))) ((op (e2) (e0)) = (e1)) ### ConjTree 175
% 0.98/1.13 177. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 0.98/1.13 178. (-. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e4) (e2)) = (e1))))))) ((op (e3) (e2)) = (e1)) ### ConjTree 177
% 0.98/1.13 179. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.13 180. (-. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e4)) = (e2))))))) ((op (e2) (e2)) = (e2)) ### ConjTree 179
% 0.98/1.13 181. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.13 182. (-. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e4) (e2)) = (e2))))))) ((op (e2) (e2)) = (e2)) ### ConjTree 181
% 0.98/1.13 183. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.13 184. (-. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3))))))) ((op (e2) (e4)) = (e3)) ### ConjTree 183
% 0.98/1.13 185. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.13 186. (-. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e3))))))) ((op (e1) (e2)) = (e3)) ### ConjTree 185
% 0.98/1.13 187. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom
% 0.98/1.13 188. (-. (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4))))))) ((op (e2) (e1)) = (e4)) ### ConjTree 187
% 0.98/1.13 189. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.98/1.13 190. (-. (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4))))))) ((op (e0) (e2)) = (e4)) ### ConjTree 189
% 0.98/1.13 191. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom
% 0.98/1.13 192. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0))))))) ((op (e3) (e1)) = (e0)) ### ConjTree 191
% 0.98/1.13 193. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom
% 0.98/1.13 194. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e3)) = (e0))))))) ((op (e2) (e3)) = (e0)) ### ConjTree 193
% 0.98/1.13 195. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 0.98/1.13 196. (-. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e3) (e4)) = (e1))))))) ((op (e3) (e2)) = (e1)) ### ConjTree 195
% 0.98/1.13 197. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom
% 0.98/1.13 198. (-. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1))))))) ((op (e4) (e3)) = (e1)) ### ConjTree 197
% 0.98/1.13 199. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom
% 0.98/1.13 200. (-. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2))))))) ((op (e3) (e4)) = (e2)) ### ConjTree 199
% 0.98/1.13 201. ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (e2)) ### Axiom
% 0.98/1.13 202. (-. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e3)) = (e2))))))) ((op (e0) (e3)) = (e2)) ### ConjTree 201
% 0.98/1.13 203. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.13 204. (-. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e4)) = (e3))))))) ((op (e3) (e3)) = (e3)) ### ConjTree 203
% 0.98/1.13 205. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.13 206. (-. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e3))))))) ((op (e3) (e3)) = (e3)) ### ConjTree 205
% 0.98/1.13 207. ((op (e3) (e0)) = (e4)) ((op (e3) (e0)) != (e4)) ### Axiom
% 0.98/1.13 208. (-. (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4))))))) ((op (e3) (e0)) = (e4)) ### ConjTree 207
% 0.98/1.13 209. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom
% 0.98/1.13 210. (-. (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4))))))) ((op (e1) (e3)) = (e4)) ### ConjTree 209
% 0.98/1.13 211. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom
% 0.98/1.13 212. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0))))))) ((op (e4) (e2)) = (e0)) ### ConjTree 211
% 0.98/1.13 213. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.13 214. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ ((op (e4) (e4)) = (e0))))))) ((op (e1) (e4)) = (e0)) ### ConjTree 213
% 0.98/1.13 215. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom
% 0.98/1.13 216. (-. (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e4) (e3)) = (e1)) ### ConjTree 215
% 0.98/1.13 217. ((op (e0) (e4)) = (e1)) ((op (e0) (e4)) != (e1)) ### Axiom
% 0.98/1.13 218. (-. (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e0) (e4)) = (e1)) ### ConjTree 217
% 0.98/1.13 219. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.13 220. (-. (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e4) (e1)) = (e2)) ### ConjTree 219
% 0.98/1.13 221. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom
% 0.98/1.13 222. (-. (((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e3) (e4)) = (e2)) ### ConjTree 221
% 0.98/1.13 223. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.98/1.13 224. (-. (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))) ((op (e4) (e0)) = (e3)) ### ConjTree 223
% 0.98/1.13 225. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.13 226. (-. (((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))) ((op (e2) (e4)) = (e3)) ### ConjTree 225
% 0.98/1.13 227. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.13 228. (-. (((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 227
% 0.98/1.13 229. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.13 230. (-. (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e4)) = (e4)) ### ConjTree 229
% 0.98/1.13 231. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.98/1.13 232. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 0.98/1.13 233. ((op (op (e0) (e0)) (op (e0) (e0))) != (op (e0) (e0))) ((op (e0) (e0)) = (e0)) ### NotEqual 231 232
% 0.98/1.13 234. ((op (op (e0) (e0)) (op (e0) (e0))) != (e0)) ((op (e0) (e0)) = (e0)) ### Trans 233 2
% 0.98/1.13 235. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (e2)) ### Axiom
% 0.98/1.13 236. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.98/1.13 237. ((op (op (e1) (e0)) (op (e0) (e1))) != (op (e2) (e3))) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) = (e2)) ### NotEqual 235 236
% 0.98/1.13 238. ((op (op (e1) (e0)) (op (e0) (e1))) != (e0)) ((op (e2) (e3)) = (e0)) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) ### Trans 237 2
% 0.98/1.13 239. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.98/1.13 240. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.98/1.13 241. ((op (op (e2) (e0)) (op (e0) (e2))) != (op (e1) (e4))) ((op (e0) (e2)) = (e4)) ((op (e2) (e0)) = (e1)) ### NotEqual 239 240
% 0.98/1.13 242. ((op (op (e2) (e0)) (op (e0) (e2))) != (e0)) ((op (e1) (e4)) = (e0)) ((op (e2) (e0)) = (e1)) ((op (e0) (e2)) = (e4)) ### Trans 241 2
% 0.98/1.13 243. ((op (e3) (e0)) = (e4)) ((op (e3) (e0)) != (e4)) ### Axiom
% 0.98/1.13 244. ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (e2)) ### Axiom
% 0.98/1.13 245. ((op (op (e3) (e0)) (op (e0) (e3))) != (op (e4) (e2))) ((op (e0) (e3)) = (e2)) ((op (e3) (e0)) = (e4)) ### NotEqual 243 244
% 0.98/1.13 246. ((op (op (e3) (e0)) (op (e0) (e3))) != (e0)) ((op (e4) (e2)) = (e0)) ((op (e3) (e0)) = (e4)) ((op (e0) (e3)) = (e2)) ### Trans 245 2
% 0.98/1.13 247. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.98/1.13 248. ((op (e0) (e4)) = (e1)) ((op (e0) (e4)) != (e1)) ### Axiom
% 0.98/1.13 249. ((op (op (e4) (e0)) (op (e0) (e4))) != (op (e3) (e1))) ((op (e0) (e4)) = (e1)) ((op (e4) (e0)) = (e3)) ### NotEqual 247 248
% 0.98/1.13 250. ((op (op (e4) (e0)) (op (e0) (e4))) != (e0)) ((op (e3) (e1)) = (e0)) ((op (e4) (e0)) = (e3)) ((op (e0) (e4)) = (e1)) ### Trans 249 2
% 0.98/1.13 251. ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (e3)) ### Axiom
% 0.98/1.13 252. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (e2)) ### Axiom
% 0.98/1.13 253. ((op (op (e0) (e1)) (op (e1) (e0))) != (op (e3) (e2))) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) ### NotEqual 251 252
% 0.98/1.13 254. ((op (op (e0) (e1)) (op (e1) (e0))) != (e1)) ((op (e3) (e2)) = (e1)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) = (e2)) ### Trans 253 6
% 0.98/1.13 255. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.13 256. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1)) ### Axiom
% 0.98/1.13 257. ((op (op (e1) (e1)) (op (e1) (e1))) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ### NotEqual 255 256
% 0.98/1.13 258. ((op (op (e1) (e1)) (op (e1) (e1))) != (e1)) ((op (e1) (e1)) = (e1)) ### Trans 257 6
% 0.98/1.13 259. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom
% 0.98/1.13 260. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.13 261. ((op (op (e2) (e1)) (op (e1) (e2))) != (op (e4) (e3))) ((op (e1) (e2)) = (e3)) ((op (e2) (e1)) = (e4)) ### NotEqual 259 260
% 0.98/1.13 262. ((op (op (e2) (e1)) (op (e1) (e2))) != (e1)) ((op (e4) (e3)) = (e1)) ((op (e2) (e1)) = (e4)) ((op (e1) (e2)) = (e3)) ### Trans 261 6
% 0.98/1.13 263. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom
% 0.98/1.13 264. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom
% 0.98/1.13 265. ((op (op (e3) (e1)) (op (e1) (e3))) != (op (e0) (e4))) ((op (e1) (e3)) = (e4)) ((op (e3) (e1)) = (e0)) ### NotEqual 263 264
% 0.98/1.13 266. ((op (op (e3) (e1)) (op (e1) (e3))) != (e1)) ((op (e0) (e4)) = (e1)) ((op (e3) (e1)) = (e0)) ((op (e1) (e3)) = (e4)) ### Trans 265 6
% 0.98/1.13 267. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.13 268. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.13 269. ((op (op (e4) (e1)) (op (e1) (e4))) != (op (e2) (e0))) ((op (e1) (e4)) = (e0)) ((op (e4) (e1)) = (e2)) ### NotEqual 267 268
% 0.98/1.13 270. ((op (op (e4) (e1)) (op (e1) (e4))) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e4) (e1)) = (e2)) ((op (e1) (e4)) = (e0)) ### Trans 269 6
% 0.98/1.13 271. ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (e4)) ### Axiom
% 0.98/1.13 272. ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (e1)) ### Axiom
% 0.98/1.13 273. ((op (op (e0) (e2)) (op (e2) (e0))) != (op (e4) (e1))) ((op (e2) (e0)) = (e1)) ((op (e0) (e2)) = (e4)) ### NotEqual 271 272
% 0.98/1.13 274. ((op (op (e0) (e2)) (op (e2) (e0))) != (e2)) ((op (e4) (e1)) = (e2)) ((op (e0) (e2)) = (e4)) ((op (e2) (e0)) = (e1)) ### Trans 273 10
% 0.98/1.13 275. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 0.98/1.13 276. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom
% 0.98/1.13 277. ((op (op (e1) (e2)) (op (e2) (e1))) != (op (e3) (e4))) ((op (e2) (e1)) = (e4)) ((op (e1) (e2)) = (e3)) ### NotEqual 275 276
% 0.98/1.13 278. ((op (op (e1) (e2)) (op (e2) (e1))) != (e2)) ((op (e3) (e4)) = (e2)) ((op (e1) (e2)) = (e3)) ((op (e2) (e1)) = (e4)) ### Trans 277 10
% 0.98/1.13 279. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.13 280. ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (e2)) ### Axiom
% 0.98/1.13 281. ((op (op (e2) (e2)) (op (e2) (e2))) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ### NotEqual 279 280
% 0.98/1.13 282. ((op (op (e2) (e2)) (op (e2) (e2))) != (e2)) ((op (e2) (e2)) = (e2)) ### Trans 281 10
% 0.98/1.13 283. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 0.98/1.13 284. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom
% 0.98/1.13 285. ((op (op (e3) (e2)) (op (e2) (e3))) != (op (e1) (e0))) ((op (e2) (e3)) = (e0)) ((op (e3) (e2)) = (e1)) ### NotEqual 283 284
% 0.98/1.13 286. ((op (op (e3) (e2)) (op (e2) (e3))) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e3) (e2)) = (e1)) ((op (e2) (e3)) = (e0)) ### Trans 285 10
% 0.98/1.13 287. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom
% 0.98/1.13 288. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.13 289. ((op (op (e4) (e2)) (op (e2) (e4))) != (op (e0) (e3))) ((op (e2) (e4)) = (e3)) ((op (e4) (e2)) = (e0)) ### NotEqual 287 288
% 0.98/1.13 290. ((op (op (e4) (e2)) (op (e2) (e4))) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e4) (e2)) = (e0)) ((op (e2) (e4)) = (e3)) ### Trans 289 10
% 0.98/1.13 291. ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (e2)) ### Axiom
% 0.98/1.13 292. ((op (e3) (e0)) = (e4)) ((op (e3) (e0)) != (e4)) ### Axiom
% 0.98/1.13 293. ((op (op (e0) (e3)) (op (e3) (e0))) != (op (e2) (e4))) ((op (e3) (e0)) = (e4)) ((op (e0) (e3)) = (e2)) ### NotEqual 291 292
% 0.98/1.13 294. ((op (op (e0) (e3)) (op (e3) (e0))) != (e3)) ((op (e2) (e4)) = (e3)) ((op (e0) (e3)) = (e2)) ((op (e3) (e0)) = (e4)) ### Trans 293 14
% 0.98/1.13 295. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom
% 0.98/1.13 296. ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (e0)) ### Axiom
% 0.98/1.13 297. ((op (op (e1) (e3)) (op (e3) (e1))) != (op (e4) (e0))) ((op (e3) (e1)) = (e0)) ((op (e1) (e3)) = (e4)) ### NotEqual 295 296
% 0.98/1.13 298. ((op (op (e1) (e3)) (op (e3) (e1))) != (e3)) ((op (e4) (e0)) = (e3)) ((op (e1) (e3)) = (e4)) ((op (e3) (e1)) = (e0)) ### Trans 297 14
% 0.98/1.13 299. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom
% 0.98/1.13 300. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 0.98/1.13 301. ((op (op (e2) (e3)) (op (e3) (e2))) != (op (e0) (e1))) ((op (e3) (e2)) = (e1)) ((op (e2) (e3)) = (e0)) ### NotEqual 299 300
% 0.98/1.13 302. ((op (op (e2) (e3)) (op (e3) (e2))) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e2) (e3)) = (e0)) ((op (e3) (e2)) = (e1)) ### Trans 301 14
% 0.98/1.13 303. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.13 304. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 0.98/1.13 305. ((op (op (e3) (e3)) (op (e3) (e3))) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ### NotEqual 303 304
% 0.98/1.13 306. ((op (op (e3) (e3)) (op (e3) (e3))) != (e3)) ((op (e3) (e3)) = (e3)) ### Trans 305 14
% 0.98/1.13 307. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom
% 0.98/1.13 308. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom
% 0.98/1.13 309. ((op (op (e4) (e3)) (op (e3) (e4))) != (op (e1) (e2))) ((op (e3) (e4)) = (e2)) ((op (e4) (e3)) = (e1)) ### NotEqual 307 308
% 0.98/1.13 310. ((op (op (e4) (e3)) (op (e3) (e4))) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e4) (e3)) = (e1)) ((op (e3) (e4)) = (e2)) ### Trans 309 14
% 0.98/1.13 311. ((op (e0) (e4)) = (e1)) ((op (e0) (e4)) != (e1)) ### Axiom
% 0.98/1.13 312. ((op (e4) (e0)) = (e3)) ((op (e4) (e0)) != (e3)) ### Axiom
% 0.98/1.13 313. ((op (op (e0) (e4)) (op (e4) (e0))) != (op (e1) (e3))) ((op (e4) (e0)) = (e3)) ((op (e0) (e4)) = (e1)) ### NotEqual 311 312
% 0.98/1.13 314. ((op (op (e0) (e4)) (op (e4) (e0))) != (e4)) ((op (e1) (e3)) = (e4)) ((op (e0) (e4)) = (e1)) ((op (e4) (e0)) = (e3)) ### Trans 313 18
% 0.98/1.13 315. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 0.98/1.13 316. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2)) ### Axiom
% 0.98/1.13 317. ((op (op (e1) (e4)) (op (e4) (e1))) != (op (e0) (e2))) ((op (e4) (e1)) = (e2)) ((op (e1) (e4)) = (e0)) ### NotEqual 315 316
% 0.98/1.13 318. ((op (op (e1) (e4)) (op (e4) (e1))) != (e4)) ((op (e0) (e2)) = (e4)) ((op (e1) (e4)) = (e0)) ((op (e4) (e1)) = (e2)) ### Trans 317 18
% 0.98/1.13 319. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3)) ### Axiom
% 0.98/1.13 320. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0)) ### Axiom
% 0.98/1.13 321. ((op (op (e2) (e4)) (op (e4) (e2))) != (op (e3) (e0))) ((op (e4) (e2)) = (e0)) ((op (e2) (e4)) = (e3)) ### NotEqual 319 320
% 0.98/1.13 322. ((op (op (e2) (e4)) (op (e4) (e2))) != (e4)) ((op (e3) (e0)) = (e4)) ((op (e2) (e4)) = (e3)) ((op (e4) (e2)) = (e0)) ### Trans 321 18
% 0.98/1.13 323. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom
% 0.98/1.13 324. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom
% 0.98/1.13 325. ((op (op (e3) (e4)) (op (e4) (e3))) != (op (e2) (e1))) ((op (e4) (e3)) = (e1)) ((op (e3) (e4)) = (e2)) ### NotEqual 323 324
% 0.98/1.13 326. ((op (op (e3) (e4)) (op (e4) (e3))) != (e4)) ((op (e2) (e1)) = (e4)) ((op (e3) (e4)) = (e2)) ((op (e4) (e3)) = (e1)) ### Trans 325 18
% 0.98/1.13 327. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.13 328. ((op (e4) (e4)) = (e4)) ((op (e4) (e4)) != (e4)) ### Axiom
% 0.98/1.13 329. ((op (op (e4) (e4)) (op (e4) (e4))) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ### NotEqual 327 328
% 0.98/1.13 330. ((op (op (e4) (e4)) (op (e4) (e4))) != (e4)) ((op (e4) (e4)) = (e4)) ### Trans 329 18
% 0.98/1.13 331. (-. (((op (op (e0) (e0)) (e0)) = (e0)) /\ (((op (op (e0) (e1)) (e1)) = (e0)) /\ (((op (op (e0) (e2)) (e2)) = (e0)) /\ (((op (op (e0) (e3)) (e3)) = (e0)) /\ (((op (op (e0) (e4)) (e4)) = (e0)) /\ (((op (op (e1) (e0)) (e0)) = (e1)) /\ (((op (op (e1) (e1)) (e1)) = (e1)) /\ (((op (op (e1) (e2)) (e2)) = (e1)) /\ (((op (op (e1) (e3)) (e3)) = (e1)) /\ (((op (op (e1) (e4)) (e4)) = (e1)) /\ (((op (op (e2) (e0)) (e0)) = (e2)) /\ (((op (op (e2) (e1)) (e1)) = (e2)) /\ (((op (op (e2) (e2)) (e2)) = (e2)) /\ (((op (op (e2) (e3)) (e3)) = (e2)) /\ (((op (op (e2) (e4)) (e4)) = (e2)) /\ (((op (op (e3) (e0)) (e0)) = (e3)) /\ (((op (op (e3) (e1)) (e1)) = (e3)) /\ (((op (op (e3) (e2)) (e2)) = (e3)) /\ (((op (op (e3) (e3)) (e3)) = (e3)) /\ (((op (op (e3) (e4)) (e4)) = (e3)) /\ (((op (op (e4) (e0)) (e0)) = (e4)) /\ (((op (op (e4) (e1)) (e1)) = (e4)) /\ (((op (op (e4) (e2)) (e2)) = (e4)) /\ (((op (op (e4) (e3)) (e3)) = (e4)) /\ (((op (op (e4) (e4)) (e4)) = (e4)) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ ((op (e0) (e0)) = (e4)))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ ((op (e0) (e1)) = (e4)))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e2)) = (e4)))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e3)) = (e4)))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ ((op (e1) (e0)) = (e4)))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4)))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e2)) = (e4)))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e3)) = (e4)))))) /\ ((((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e2) (e0)) = (e4)))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4)))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e3)) = (e4)))))) /\ ((((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e4)))))) /\ ((((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4)))))) /\ ((((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e4)))))) /\ ((((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e4)))))) /\ ((((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e3) (e4)) = (e4)))))) /\ ((((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) /\ ((((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) /\ ((((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e3)) = (e0)) \/ ((op (e0) (e4)) = (e0)))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e0)) \/ ((op (e4) (e0)) = (e0)))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e1)) \/ ((op (e4) (e0)) = (e1)))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e4)) = (e2)))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e4)) = (e3)))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e3)))))) /\ ((((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) /\ ((((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ ((op (e1) (e4)) = (e0)))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ ((op (e4) (e1)) = (e0)))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ ((op (e1) (e4)) = (e1)))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e4)) = (e2)))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) /\ ((((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) /\ ((((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e2) (e4)) = (e0)))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e4) (e2)) = (e0)))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1)))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e4) (e2)) = (e1)))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e4)) = (e2)))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e4) (e2)) = (e2)))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e3)))))) /\ ((((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0)))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e3)) = (e0)))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e3) (e4)) = (e1)))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e3)) = (e2)))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e4)) = (e3)))))) /\ ((((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e3)))))) /\ ((((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) /\ ((((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) /\ ((((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4)))))) /\ ((((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4)))))) /\ (((op (op (e0) (e0)) (op (e0) (e0))) = (e0)) /\ (((op (op (e1) (e0)) (op (e0) (e1))) = (e0)) /\ (((op (op (e2) (e0)) (op (e0) (e2))) = (e0)) /\ (((op (op (e3) (e0)) (op (e0) (e3))) = (e0)) /\ (((op (op (e4) (e0)) (op (e0) (e4))) = (e0)) /\ (((op (op (e0) (e1)) (op (e1) (e0))) = (e1)) /\ (((op (op (e1) (e1)) (op (e1) (e1))) = (e1)) /\ (((op (op (e2) (e1)) (op (e1) (e2))) = (e1)) /\ (((op (op (e3) (e1)) (op (e1) (e3))) = (e1)) /\ (((op (op (e4) (e1)) (op (e1) (e4))) = (e1)) /\ (((op (op (e0) (e2)) (op (e2) (e0))) = (e2)) /\ (((op (op (e1) (e2)) (op (e2) (e1))) = (e2)) /\ (((op (op (e2) (e2)) (op (e2) (e2))) = (e2)) /\ (((op (op (e3) (e2)) (op (e2) (e3))) = (e2)) /\ (((op (op (e4) (e2)) (op (e2) (e4))) = (e2)) /\ (((op (op (e0) (e3)) (op (e3) (e0))) = (e3)) /\ (((op (op (e1) (e3)) (op (e3) (e1))) = (e3)) /\ (((op (op (e2) (e3)) (op (e3) (e2))) = (e3)) /\ (((op (op (e3) (e3)) (op (e3) (e3))) = (e3)) /\ (((op (op (e4) (e3)) (op (e3) (e4))) = (e3)) /\ (((op (op (e0) (e4)) (op (e4) (e0))) = (e4)) /\ (((op (op (e1) (e4)) (op (e4) (e1))) = (e4)) /\ (((op (op (e2) (e4)) (op (e4) (e2))) = (e4)) /\ (((op (op (e3) (e4)) (op (e4) (e3))) = (e4)) /\ ((op (op (e4) (e4)) (op (e4) (e4))) = (e4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e4) (e4)) = (e4)) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) = (e4)) ((op (e4) (e0)) = (e3)) ((op (e2) (e4)) = (e3)) ((op (e3) (e4)) = (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) = (e4)) ((op (e4) (e1)) = (e2)) ((op (e1) (e3)) = (e4)) ((op (e4) (e3)) = (e1)) ((op (e1) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ((op (e0) (e4)) = (e1)) ((op (e1) (e4)) = (e0)) ((op (e0) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ((op (e0) (e2)) = (e4)) ((op (e4) (e2)) = (e0)) ((op (e0) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 4 8 12 16 20 23 26 29 32 35 38 41 44 47 50 53 56 59 62 65 68 71 74 77 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 234 238 242 246 250 254 258 262 266 270 274 278 282 286 290 294 298 302 306 310 314 318 322 326 330
% 0.98/1.13 332. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e3)) /\ (((op (e0) (e2)) = (e4)) /\ (((op (e0) (e3)) = (e2)) /\ (((op (e0) (e4)) = (e1)) /\ (((op (e1) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e2)) = (e3)) /\ (((op (e1) (e3)) = (e4)) /\ (((op (e1) (e4)) = (e0)) /\ (((op (e2) (e0)) = (e1)) /\ (((op (e2) (e1)) = (e4)) /\ (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e3)) = (e0)) /\ (((op (e2) (e4)) = (e3)) /\ (((op (e3) (e0)) = (e4)) /\ (((op (e3) (e1)) = (e0)) /\ (((op (e3) (e2)) = (e1)) /\ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e4)) = (e2)) /\ (((op (e4) (e0)) = (e3)) /\ (((op (e4) (e1)) = (e2)) /\ (((op (e4) (e2)) = (e0)) /\ (((op (e4) (e3)) = (e1)) /\ ((op (e4) (e4)) = (e4)))))))))))))))))))))))))) (-. (((op (op (e0) (e0)) (e0)) = (e0)) /\ (((op (op (e0) (e1)) (e1)) = (e0)) /\ (((op (op (e0) (e2)) (e2)) = (e0)) /\ (((op (op (e0) (e3)) (e3)) = (e0)) /\ (((op (op (e0) (e4)) (e4)) = (e0)) /\ (((op (op (e1) (e0)) (e0)) = (e1)) /\ (((op (op (e1) (e1)) (e1)) = (e1)) /\ (((op (op (e1) (e2)) (e2)) = (e1)) /\ (((op (op (e1) (e3)) (e3)) = (e1)) /\ (((op (op (e1) (e4)) (e4)) = (e1)) /\ (((op (op (e2) (e0)) (e0)) = (e2)) /\ (((op (op (e2) (e1)) (e1)) = (e2)) /\ (((op (op (e2) (e2)) (e2)) = (e2)) /\ (((op (op (e2) (e3)) (e3)) = (e2)) /\ (((op (op (e2) (e4)) (e4)) = (e2)) /\ (((op (op (e3) (e0)) (e0)) = (e3)) /\ (((op (op (e3) (e1)) (e1)) = (e3)) /\ (((op (op (e3) (e2)) (e2)) = (e3)) /\ (((op (op (e3) (e3)) (e3)) = (e3)) /\ (((op (op (e3) (e4)) (e4)) = (e3)) /\ (((op (op (e4) (e0)) (e0)) = (e4)) /\ (((op (op (e4) (e1)) (e1)) = (e4)) /\ (((op (op (e4) (e2)) (e2)) = (e4)) /\ (((op (op (e4) (e3)) (e3)) = (e4)) /\ (((op (op (e4) (e4)) (e4)) = (e4)) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ ((op (e0) (e0)) = (e4)))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ ((op (e0) (e1)) = (e4)))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e2)) = (e4)))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e3)) = (e4)))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ ((op (e1) (e0)) = (e4)))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4)))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e2)) = (e4)))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e3)) = (e4)))))) /\ ((((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e2) (e0)) = (e4)))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4)))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e3)) = (e4)))))) /\ ((((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e4)))))) /\ ((((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4)))))) /\ ((((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e4)))))) /\ ((((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e4)))))) /\ ((((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e3) (e4)) = (e4)))))) /\ ((((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) /\ ((((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) /\ ((((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e3)) = (e0)) \/ ((op (e0) (e4)) = (e0)))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e0)) \/ ((op (e4) (e0)) = (e0)))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e1)) \/ ((op (e4) (e0)) = (e1)))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e4)) = (e2)))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e4)) = (e3)))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e3)))))) /\ ((((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) /\ ((((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ ((op (e1) (e4)) = (e0)))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ ((op (e4) (e1)) = (e0)))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ ((op (e1) (e4)) = (e1)))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e4)) = (e2)))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) /\ ((((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) /\ ((((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e2) (e4)) = (e0)))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e4) (e2)) = (e0)))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1)))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e4) (e2)) = (e1)))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e4)) = (e2)))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e4) (e2)) = (e2)))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e3)))))) /\ ((((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0)))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e3)) = (e0)))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e3) (e4)) = (e1)))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e3)) = (e2)))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e4)) = (e3)))))) /\ ((((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e3)))))) /\ ((((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) /\ ((((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) /\ ((((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4)))))) /\ ((((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4)))))) /\ (((op (op (e0) (e0)) (op (e0) (e0))) = (e0)) /\ (((op (op (e1) (e0)) (op (e0) (e1))) = (e0)) /\ (((op (op (e2) (e0)) (op (e0) (e2))) = (e0)) /\ (((op (op (e3) (e0)) (op (e0) (e3))) = (e0)) /\ (((op (op (e4) (e0)) (op (e0) (e4))) = (e0)) /\ (((op (op (e0) (e1)) (op (e1) (e0))) = (e1)) /\ (((op (op (e1) (e1)) (op (e1) (e1))) = (e1)) /\ (((op (op (e2) (e1)) (op (e1) (e2))) = (e1)) /\ (((op (op (e3) (e1)) (op (e1) (e3))) = (e1)) /\ (((op (op (e4) (e1)) (op (e1) (e4))) = (e1)) /\ (((op (op (e0) (e2)) (op (e2) (e0))) = (e2)) /\ (((op (op (e1) (e2)) (op (e2) (e1))) = (e2)) /\ (((op (op (e2) (e2)) (op (e2) (e2))) = (e2)) /\ (((op (op (e3) (e2)) (op (e2) (e3))) = (e2)) /\ (((op (op (e4) (e2)) (op (e2) (e4))) = (e2)) /\ (((op (op (e0) (e3)) (op (e3) (e0))) = (e3)) /\ (((op (op (e1) (e3)) (op (e3) (e1))) = (e3)) /\ (((op (op (e2) (e3)) (op (e3) (e2))) = (e3)) /\ (((op (op (e3) (e3)) (op (e3) (e3))) = (e3)) /\ (((op (op (e4) (e3)) (op (e3) (e4))) = (e3)) /\ (((op (op (e0) (e4)) (op (e4) (e0))) = (e4)) /\ (((op (op (e1) (e4)) (op (e4) (e1))) = (e4)) /\ (((op (op (e2) (e4)) (op (e4) (e2))) = (e4)) /\ (((op (op (e3) (e4)) (op (e4) (e3))) = (e4)) /\ ((op (op (e4) (e4)) (op (e4) (e4))) = (e4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 331
% 0.98/1.14 % SZS output end Proof
% 0.98/1.14 (* END-PROOF *)
%------------------------------------------------------------------------------