%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : ALG061+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 18:04:55 EDT 2022

% Result   : Theorem 269.82s 270.01s
% Output   : Proof 269.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG061+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n027.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 10:52:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 269.82/270.01  % SZS status Theorem
% 269.82/270.01  (* PROOF-FOUND *)
% 269.82/270.01  (* BEGIN-PROOF *)
% 269.82/270.01  % SZS output start Proof
% 269.82/270.01  1. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0))   ### Axiom
% 269.82/270.01  2. ((e1) != (e1))   ### NotEqual
% 269.82/270.01  3. ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (op (e1) (e1)) (op (e1) (e1))) != (e2))   ### Sym(=)
% 269.82/270.01  4. ((op (e1) (op (op (e1) (e1)) (op (e1) (e1)))) != (op (e1) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1))))   ### NotEqual 2 3
% 269.82/270.01  5. ((op (e0) (e2)) != (op (e1) (e2))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e0) (e2)) = (e0))   ### Trans 1 4
% 269.82/270.01  6. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0))   ### Axiom
% 269.82/270.01  7. ((op (e1) (e2)) != (op (e4) (e2))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e4) (e2)) = (e0))   ### Trans-sym 6 4
% 269.82/270.01  8. ((op (e0) (e2)) != (op (e0) (e2)))   ### Refl(=)
% 269.82/270.01  9. ((op (e0) (e2)) != (op (e0) (e2)))   ### Refl(=)
% 269.82/270.01  10. ((op (e4) (e2)) = (e1)) ((e1) != (op (e4) (e2)))   ### Sym(=)
% 269.82/270.01  11. ((op (e0) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) = (e1)) ((op (e4) (e2)) = (e1))   ### TransEq 8 9 10
% 269.82/270.01  12. ((op (e4) (e2)) = (e2)) ((op (e4) (e2)) != (e2))   ### Axiom
% 269.82/270.01  13. ((e4) = (op (e1) (e1))) ((op (e1) (e1)) != (e4))   ### Sym(=)
% 269.82/270.01  14. ((e4) = (op (e1) (e1))) ((op (e1) (e1)) != (e4))   ### Sym(=)
% 269.82/270.01  15. ((op (op (e1) (e1)) (op (e1) (e1))) != (op (e4) (e4))) ((e4) = (op (e1) (e1)))   ### NotEqual 13 14
% 269.82/270.01  16. ((op (e4) (e2)) != (op (e4) (e4))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e4) = (op (e1) (e1))) ((op (e4) (e2)) = (e2))   ### Trans 12 15
% 269.82/270.01  17. ((op (e4) (e2)) = (e3)) ((op (e4) (e2)) != (e3))   ### Axiom
% 269.82/270.01  18. ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (op (e1) (e1)) (op (e1) (e1))) != (e2))   ### Sym(=)
% 269.82/270.01  19. ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (op (e1) (e1)) (op (e1) (e1))) != (e2))   ### Sym(=)
% 269.82/270.01  20. ((op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1)))) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1))))   ### NotEqual 18 19
% 269.82/270.01  21. ((op (e2) (e2)) != (op (e4) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e4) (e2)) = (e3))   ### Trans-sym 17 20
% 269.82/270.01  22. ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (e3))   ### Axiom
% 269.82/270.01  23. ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e0)) = (e3))   ### Trans 22 20
% 269.82/270.01  24. ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (e3))   ### Axiom
% 269.82/270.01  25. ((op (e2) (e1)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) = (e3))   ### Trans 24 20
% 269.82/270.01  26. ((e4) != (e4))   ### NotEqual
% 269.82/270.01  27. ((unit) = (e0)) ((e0) != (unit))   ### Sym(=)
% 269.82/270.01  28. ((op (e4) (e0)) != (op (e4) (unit))) ((unit) = (e0))   ### NotEqual 26 27
% 269.82/270.01  29. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2)))   ### Sym(=)
% 269.82/270.01  30. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2)))   ### Sym(=)
% 269.82/270.01  31. ((op (e4) (e0)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e4) (e2)) = (e4)) ((unit) = (e0))   ### TransEq 28 29 30
% 269.82/270.01  32. ((unit) = (e1)) ((e1) != (unit))   ### Sym(=)
% 269.82/270.01  33. ((op (e4) (e1)) != (op (e4) (unit))) ((unit) = (e1))   ### NotEqual 26 32
% 269.82/270.01  34. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2)))   ### Sym(=)
% 269.82/270.01  35. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2)))   ### Sym(=)
% 269.82/270.01  36. ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e4) (e2)) = (e4)) ((unit) = (e1))   ### TransEq 33 34 35
% 269.82/270.01  37. ((e3) != (e3))   ### NotEqual
% 269.82/270.01  38. ((unit) = (e2)) ((e2) != (unit))   ### Sym(=)
% 269.82/270.01  39. ((op (e3) (e2)) != (op (e3) (unit))) ((unit) = (e2))   ### NotEqual 37 38
% 269.82/270.01  40. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2)))   ### Sym(=)
% 269.82/270.01  41. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2)))   ### Sym(=)
% 269.82/270.01  42. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) = (e3)) ((unit) = (e2))   ### TransEq-sym 39 40 41
% 269.82/270.01  43. ((unit) = (e3)) ((e3) != (unit))   ### Sym(=)
% 269.82/270.01  44. ((op (e4) (e3)) != (op (e4) (unit))) ((unit) = (e3))   ### NotEqual 26 43
% 269.82/270.01  45. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2)))   ### Sym(=)
% 269.82/270.01  46. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2)))   ### Sym(=)
% 269.82/270.01  47. ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e2)) = (e4)) ((unit) = (e3))   ### TransEq-sym 44 45 46
% 269.82/270.01  48. ((unit) = (e4)) ((e4) != (unit))   ### Sym(=)
% 269.82/270.01  49. ((op (e4) (e4)) != (op (e4) (unit))) ((unit) = (e4))   ### NotEqual 26 48
% 269.82/270.01  50. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2)))   ### Sym(=)
% 269.82/270.01  51. ((op (e4) (e2)) = (e4)) ((e4) != (op (e4) (e2)))   ### Sym(=)
% 269.82/270.01  52. ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e2)) = (e4)) ((unit) = (e4))   ### TransEq-sym 49 50 51
% 269.82/270.01  53. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e2) (e2)) = (e3)) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (e2)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e2)))   ### DisjTree 31 36 42 47 52
% 269.82/270.01  54. ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (e3))   ### Axiom
% 269.82/270.01  55. ((op (e2) (e2)) != (op (e2) (e3))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e3)) = (e3))   ### Trans-sym 54 20
% 269.82/270.01  56. ((op (e2) (e4)) = (e3)) ((op (e2) (e4)) != (e3))   ### Axiom
% 269.82/270.01  57. ((op (e2) (e2)) != (op (e2) (e4))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e4)) = (e3))   ### Trans-sym 56 20
% 269.82/270.01  58. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e4) (e2)) = (e4)) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2)))   ### DisjTree 23 25 53 55 57
% 269.82/270.01  59. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e1) (e1))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e4) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e4) (e2)))   ### DisjTree 7 11 16 21 58
% 269.82/270.01  60. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0))   ### Axiom
% 269.82/270.01  61. ((op (e1) (e2)) != (op (e1) (e4))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e1) (e4)) = (e0))   ### Trans-sym 60 4
% 269.82/270.01  62. ((op (e2) (e1)) != (op (e2) (e1)))   ### Refl(=)
% 269.82/270.01  63. ((op (e2) (e1)) != (op (e2) (e1)))   ### Refl(=)
% 269.82/270.01  64. ((op (e2) (e4)) = (e0)) ((e0) != (op (e2) (e4)))   ### Sym(=)
% 269.82/270.01  65. ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e1)) = (e0)) ((op (e2) (e4)) = (e0))   ### TransEq 62 63 64
% 269.82/270.01  66. ((unit) = (e0)) ((e0) != (unit))   ### Sym(=)
% 269.82/270.01  67. ((op (e1) (e0)) != (op (e1) (unit))) ((unit) = (e0))   ### NotEqual 2 66
% 269.82/270.01  68. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0)))   ### Sym(=)
% 269.82/270.01  69. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0)))   ### Sym(=)
% 269.82/270.01  70. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (unit)) = (e1)) ((op (e0) (e0)) = (e1)) ((unit) = (e0))   ### TransEq-sym 67 68 69
% 269.82/270.01  71. ((e2) != (e2))   ### NotEqual
% 269.82/270.01  72. ((unit) = (e0)) ((e0) != (unit))   ### Sym(=)
% 269.82/270.01  73. ((op (e2) (e0)) != (op (e2) (unit))) ((unit) = (e0))   ### NotEqual 71 72
% 269.82/270.01  74. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0)))   ### Sym(=)
% 269.82/270.01  75. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0)))   ### Sym(=)
% 269.82/270.01  76. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) = (e2)) ((unit) = (e0))   ### TransEq-sym 73 74 75
% 269.82/270.01  77. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0)))   ### Sym(=)
% 269.82/270.01  78. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0)))   ### Sym(=)
% 269.82/270.01  79. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e1) (e0)) = (e2)) ((unit) = (e0))   ### TransEq-sym 73 77 78
% 269.82/270.01  80. ((unit) = (e0)) ((e0) != (unit))   ### Sym(=)
% 269.82/270.01  81. ((op (e3) (e0)) != (op (e3) (unit))) ((unit) = (e0))   ### NotEqual 37 80
% 269.82/270.01  82. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0)))   ### Sym(=)
% 269.82/270.01  83. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0)))   ### Sym(=)
% 269.82/270.01  84. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((op (e1) (e0)) = (e3)) ((unit) = (e0))   ### TransEq-sym 81 82 83
% 269.82/270.01  85. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3))   ### Axiom
% 269.82/270.01  86. ((e3) != (e4)) ((e4) = (op (e1) (e1))) ((op (e1) (e1)) = (e3))   ### Trans-sym 26 85
% 269.82/270.01  87. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3))   ### Axiom
% 269.82/270.01  88. ((op (e1) (e2)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e1) (e2)) = (e3))   ### Trans 87 20
% 269.82/270.01  89. ((unit) = (e0)) ((e0) != (unit))   ### Sym(=)
% 269.82/270.01  90. ((op (e0) (e3)) != (op (unit) (e3))) ((unit) = (e0))   ### NotEqual 89 37
% 269.82/270.01  91. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3)))   ### Sym(=)
% 269.82/270.01  92. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3)))   ### Sym(=)
% 269.82/270.01  93. ((op (e0) (e3)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ((unit) = (e0))   ### TransEq 90 91 92
% 269.82/270.01  94. ((unit) = (e0)) ((e0) != (unit))   ### Sym(=)
% 269.82/270.01  95. ((op (e0) (e2)) != (op (unit) (e2))) ((unit) = (e0))   ### NotEqual 94 71
% 269.82/270.01  96. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1)))   ### Sym(=)
% 269.82/270.01  97. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1)))   ### Sym(=)
% 269.82/270.01  98. ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) = (e2)) ((unit) = (e0))   ### TransEq-sym 95 96 97
% 269.82/270.01  99. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2))   ### Axiom
% 269.82/270.01  100. ((e2) != (e4)) ((e4) = (op (e1) (e1))) ((op (e1) (e1)) = (e2))   ### Trans-sym 26 99
% 269.82/270.01  101. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1)))   ### Sym(=)
% 269.82/270.01  102. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1)))   ### Sym(=)
% 269.82/270.01  103. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) = (e2)) ((unit) = (e0))   ### TransEq 73 101 102
% 269.82/270.01  104. ((op (e2) (e0)) = (e4)) ((e4) != (op (e2) (e0)))   ### Sym(=)
% 269.82/270.01  105. ((op (e2) (e0)) = (e4)) ((e4) != (op (e2) (e0)))   ### Sym(=)
% 269.82/270.01  106. ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) = (e4)) ((unit) = (e0))   ### TransEq-sym 28 104 105
% 269.82/270.01  107. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4))   ### Axiom
% 269.82/270.01  108. ((op (e1) (e1)) != (op (e1) (e1)))   ### Refl(=)
% 269.82/270.01  109. ((op (e1) (e1)) != (op (e2) (e1))) ((e4) = (op (e1) (e1))) ((op (e2) (e1)) = (e4))   ### Trans-sym 107 108
% 269.82/270.01  110. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2)))   ### Sym(=)
% 269.82/270.01  111. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2)))   ### Sym(=)
% 269.82/270.01  112. ((e3) != (e4)) ((op (e2) (e2)) = (e4)) ((op (e2) (e2)) = (e3))   ### TransEq 110 111 26
% 269.82/270.01  113. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e4)) ((e3) != (e4)) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2)))   ### DisjTree 23 25 112 55 57
% 269.82/270.01  114. ((op (e4) (e0)) = (e3)) ((e3) != (op (e4) (e0)))   ### Sym(=)
% 269.82/270.01  115. ((op (e4) (e0)) = (e3)) ((e3) != (op (e4) (e0)))   ### Sym(=)
% 269.82/270.01  116. ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (unit)) = (e3)) ((op (e4) (e0)) = (e3)) ((unit) = (e0))   ### TransEq 81 114 115
% 269.82/270.01  117. ((op (e0) (e1)) != (op (e0) (e1)))   ### Refl(=)
% 269.82/270.01  118. ((op (e0) (e1)) != (op (e0) (e1)))   ### Refl(=)
% 269.82/270.01  119. ((op (e4) (e1)) = (e3)) ((e3) != (op (e4) (e1)))   ### Sym(=)
% 269.82/270.01  120. ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) = (e3)) ((op (e4) (e1)) = (e3))   ### TransEq 117 118 119
% 269.82/270.01  121. ((op (e4) (e3)) = (e3)) ((e3) != (op (e4) (e3)))   ### Sym(=)
% 269.82/270.01  122. ((op (e4) (e3)) = (e3)) ((e3) != (op (e4) (e3)))   ### Sym(=)
% 269.82/270.01  123. ((op (e0) (e3)) != (op (e4) (e3))) ((op (unit) (e3)) = (e3)) ((op (e4) (e3)) = (e3)) ((unit) = (e0))   ### TransEq 90 121 122
% 269.82/270.01  124. ((op (e1) (e4)) != (op (e1) (e4)))   ### Refl(=)
% 269.82/270.01  125. ((op (e1) (e4)) != (op (e1) (e4)))   ### Refl(=)
% 269.82/270.01  126. ((op (e4) (e4)) = (e3)) ((e3) != (op (e4) (e4)))   ### Sym(=)
% 269.82/270.01  127. ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e3)) ((op (e4) (e4)) = (e3))   ### TransEq 124 125 126
% 269.82/270.01  128. (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e4) (e1))) ((unit) = (e0)) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e4) (e0)))   ### DisjTree 116 120 21 123 127
% 269.82/270.01  129. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1)))   ### Sym(=)
% 269.82/270.01  130. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1)))   ### Sym(=)
% 269.82/270.01  131. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (unit)) = (e3)) ((op (e3) (e1)) = (e3)) ((unit) = (e0))   ### TransEq 81 129 130
% 269.82/270.01  132. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1)))   ### Sym(=)
% 269.82/270.01  133. ((op (e1) (e1)) != (op (e1) (op (e0) (e1)))) ((op (e0) (e1)) = (e1))   ### NotEqual 2 132
% 269.82/270.01  134. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1)))   ### Sym(=)
% 269.82/270.01  135. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1)))   ### Sym(=)
% 269.82/270.01  136. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (op (e0) (e1))) = (e0)) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) = (e1))   ### TransEq 133 134 135
% 269.82/270.01  137. (((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1)))   ### And 136
% 269.82/270.01  138. ((op (e1) (op (e1) (e1))) = (e1)) ((op (e1) (op (e1) (e1))) != (e1))   ### Axiom
% 269.82/270.01  139. (((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1)))   ### And 138
% 269.82/270.01  140. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1)))   ### Sym(=)
% 269.82/270.01  141. ((op (e1) (e0)) != (op (e1) (op (e2) (e1)))) ((op (e2) (e1)) = (e0))   ### NotEqual 2 140
% 269.82/270.01  142. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0)))   ### Sym(=)
% 269.82/270.01  143. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0)))   ### Sym(=)
% 269.82/270.01  144. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (op (e2) (e1))) = (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) = (e0))   ### TransEq 141 142 143
% 269.82/270.01  145. (((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0)))   ### And 144
% 269.82/270.01  146. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1)))   ### Sym(=)
% 269.82/270.01  147. ((op (e1) (e2)) != (op (e1) (op (e3) (e1)))) ((op (e3) (e1)) = (e2))   ### NotEqual 2 146
% 269.82/270.01  148. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2)))   ### Sym(=)
% 269.82/270.01  149. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2)))   ### Sym(=)
% 269.82/270.01  150. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (op (e3) (e1))) = (e3)) ((op (e2) (e2)) = (e3)) ((op (e3) (e1)) = (e2))   ### TransEq 147 148 149
% 269.82/270.01  151. (((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) ((op (e3) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2)))   ### And 150
% 269.82/270.01  152. ((op (e4) (e1)) = (e3)) ((e3) != (op (e4) (e1)))   ### Sym(=)
% 269.82/270.01  153. ((op (e1) (e3)) != (op (e1) (op (e4) (e1)))) ((op (e4) (e1)) = (e3))   ### NotEqual 2 152
% 269.82/270.01  154. ((op (e2) (e3)) = (e4)) ((e4) != (op (e2) (e3)))   ### Sym(=)
% 269.82/270.01  155. ((op (e2) (e3)) = (e4)) ((e4) != (op (e2) (e3)))   ### Sym(=)
% 269.82/270.01  156. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (op (e4) (e1))) = (e4)) ((op (e2) (e3)) = (e4)) ((op (e4) (e1)) = (e3))   ### TransEq 153 154 155
% 269.82/270.01  157. (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))) ((op (e4) (e1)) = (e3)) ((op (e2) (e3)) = (e4)) ((op (e1) (e3)) != (op (e2) (e3)))   ### And 156
% 269.82/270.01  158. ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e4)) ((op (e4) (e1)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) = (e1))   ### DisjTree 137 139 145 151 157
% 269.82/270.01  159. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) = (e4)) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((e4) = (op (e1) (e1))) ((e3) != (e4)) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (unit)) = (e3)) ((unit) = (e0)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (unit) (e3)) = (e3)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e3)) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))   ### DisjTree 128 86 25 131 158
% 269.82/270.01  160. ((unit) = (e0)) ((e0) != (unit))   ### Sym(=)
% 269.82/270.01  161. ((op (e0) (e4)) != (op (unit) (e4))) ((unit) = (e0))   ### NotEqual 160 26
% 269.82/270.01  162. ((op (e2) (e4)) = (e4)) ((e4) != (op (e2) (e4)))   ### Sym(=)
% 269.82/270.01  163. ((op (e2) (e4)) = (e4)) ((e4) != (op (e2) (e4)))   ### Sym(=)
% 269.82/270.01  164. ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) ((op (e2) (e4)) = (e4)) ((unit) = (e0))   ### TransEq 161 162 163
% 269.82/270.01  165. (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((e3) != (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((unit) = (e0)) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0)))   ### DisjTree 106 109 113 159 164
% 269.82/270.01  166. ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((unit) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e4) = (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((e3) != (e4)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (unit)) = (e3)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (unit) (e3)) = (e3)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e3)) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2)))   ### DisjTree 23 25 165 55 57
% 269.82/270.01  167. ((op (e4) (e1)) = (e2)) ((op (e4) (e1)) != (e2))   ### Axiom
% 269.82/270.01  168. ((op (e4) (e1)) != (op (e4) (e4))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e4) = (op (e1) (e1))) ((op (e4) (e1)) = (e2))   ### Trans 167 15
% 269.82/270.01  169. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((e3) != (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e4) = (op (e1) (e1))) ((e2) != (e4)) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2)))   ### DisjTree 98 100 103 166 168
% 269.82/270.01  170. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((e2) != (e4)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e4) = (op (e1) (e1))) ((e3) != (e4)) ((unit) = (e0)) ((op (e3) (unit)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0)))   ### DisjTree 84 86 88 93 169
% 269.82/270.01  171. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0)))   ### Sym(=)
% 269.82/270.01  172. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0)))   ### Sym(=)
% 269.82/270.01  173. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (unit)) = (e2)) ((op (e3) (e0)) = (e2)) ((unit) = (e0))   ### TransEq 73 171 172
% 269.82/270.01  174. ((op (e4) (e0)) = (e2)) ((op (e4) (e0)) != (e2))   ### Axiom
% 269.82/270.01  175. ((op (e4) (e0)) != (op (e4) (e4))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e4) = (op (e1) (e1))) ((op (e4) (e0)) = (e2))   ### Trans 174 15
% 269.82/270.01  176. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((e3) != (e4)) ((e4) = (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((unit) = (e0)) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0)))   ### DisjTree 76 79 170 173 175
% 269.82/270.01  177. ((op (e0) (e0)) = (e4)) ((e4) != (op (e0) (e0)))   ### Sym(=)
% 269.82/270.01  178. ((op (e0) (e0)) = (e4)) ((e4) != (op (e0) (e0)))   ### Sym(=)
% 269.82/270.01  179. ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) = (e4)) ((unit) = (e0))   ### TransEq-sym 28 177 178
% 269.82/270.01  180. ((e4) = (op (e1) (e1))) ((e4) != (op (e1) (e1)))   ### Axiom
% 269.82/270.01  181. ((e4) = (op (e1) (e1))) ((e4) != (op (e1) (e1)))   ### Axiom
% 269.82/270.01  182. ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((e4) = (op (e1) (e1))) ((unit) = (e1))   ### TransEq-sym 33 180 181
% 269.82/270.01  183. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((unit) = (e2)) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2)))   ### DisjTree 23 25 42 55 57
% 269.86/270.02  184. ((unit) = (e3)) ((e3) != (unit))   ### Sym(=)
% 269.86/270.02  185. ((op (e1) (e3)) != (op (e1) (unit))) ((unit) = (e3))   ### NotEqual 2 184
% 269.86/270.02  186. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3)))   ### Sym(=)
% 269.86/270.02  187. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3)))   ### Sym(=)
% 269.86/270.02  188. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) ((op (e0) (e3)) = (e1)) ((unit) = (e3))   ### TransEq-sym 185 186 187
% 269.86/270.02  189. ((op (e4) (e3)) = (e2)) ((op (e4) (e3)) != (e2))   ### Axiom
% 269.86/270.02  190. ((op (e4) (e3)) != (op (e4) (e4))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e4) = (op (e1) (e1))) ((op (e4) (e3)) = (e2))   ### Trans 189 15
% 269.86/270.02  191. ((unit) = (e4)) ((e4) != (unit))   ### Sym(=)
% 269.86/270.02  192. ((op (e2) (e4)) != (op (e2) (unit))) ((unit) = (e4))   ### NotEqual 71 191
% 269.86/270.02  193. ((op (e4) (e4)) = (e2)) ((e2) != (op (e4) (e4)))   ### Sym(=)
% 269.86/270.02  194. ((op (e4) (e4)) = (e2)) ((e2) != (op (e4) (e4)))   ### Sym(=)
% 269.86/270.02  195. ((op (e2) (e4)) != (op (e4) (e4))) ((op (e2) (unit)) = (e2)) ((op (e4) (e4)) = (e2)) ((unit) = (e4))   ### TransEq 192 193 194
% 269.86/270.02  196. (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((unit) = (e4)) ((op (e2) (unit)) = (e2)) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((e4) = (op (e1) (e1))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e4) (e0)) != (op (e4) (e4)))   ### DisjTree 175 168 16 190 195
% 269.86/270.02  197. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e2) (unit)) = (e2)) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e0) (e3)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0)))   ### DisjTree 179 182 183 188 196
% 269.86/270.02  198. ((op (e0) (e1)) = (e4)) ((op (e0) (e1)) != (e4))   ### Axiom
% 269.86/270.02  199. ((op (e1) (e1)) != (op (e1) (e1)))   ### Refl(=)
% 269.86/270.02  200. ((op (e0) (e1)) != (op (e1) (e1))) ((e4) = (op (e1) (e1))) ((op (e0) (e1)) = (e4))   ### Trans 198 199
% 269.86/270.02  201. ((op (e0) (e2)) = (e4)) ((e4) != (op (e0) (e2)))   ### Sym(=)
% 269.86/270.02  202. ((op (e0) (e2)) = (e4)) ((e4) != (op (e0) (e2)))   ### Sym(=)
% 269.86/270.02  203. ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) = (e4)) ((unit) = (e0))   ### TransEq-sym 161 201 202
% 269.86/270.02  204. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e2) (unit)) = (e2)) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e0) (e3)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e2)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4)))   ### DisjTree 203 182 183 188 196
% 269.86/270.02  205. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3)))   ### Sym(=)
% 269.86/270.02  206. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3)))   ### Sym(=)
% 269.86/270.02  207. ((op (e0) (e3)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) = (e4)) ((unit) = (e0))   ### TransEq-sym 161 205 206
% 269.86/270.02  208. ((unit) = (e2)) ((e2) != (unit))   ### Sym(=)
% 269.86/270.02  209. ((op (e2) (e4)) != (op (unit) (e4))) ((unit) = (e2))   ### NotEqual 208 26
% 269.86/270.02  210. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  211. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  212. ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e2))   ### TransEq-sym 209 210 211
% 269.86/270.02  213. ((op (e1) (e4)) = (e1)) ((e1) != (op (e1) (e4)))   ### Sym(=)
% 269.86/270.02  214. ((op (e1) (e4)) = (e1)) ((e1) != (op (e1) (e4)))   ### Sym(=)
% 269.86/270.02  215. ((op (e1) (e3)) != (op (e1) (e4))) ((op (e1) (unit)) = (e1)) ((op (e1) (e4)) = (e1)) ((unit) = (e3))   ### TransEq 185 213 214
% 269.86/270.02  216. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  217. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  218. ((op (e0) (e4)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e4))   ### TransEq-sym 49 216 217
% 269.86/270.02  219. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e0) (e4)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((e3) != (e4)) ((e4) = (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3))))))   ### DisjTree 170 182 212 215 218
% 269.86/270.02  220. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1))   ### Axiom
% 269.86/270.02  221. ((e1) != (e4)) ((e4) = (op (e1) (e1))) ((op (e1) (e1)) = (e1))   ### Trans-sym 26 220
% 269.86/270.02  222. ((unit) = (e0)) ((e0) != (unit))   ### Sym(=)
% 269.86/270.02  223. ((op (e0) (e1)) != (op (unit) (e1))) ((unit) = (e0))   ### NotEqual 222 2
% 269.86/270.02  224. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1)))   ### Sym(=)
% 269.86/270.02  225. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1)))   ### Sym(=)
% 269.86/270.02  226. ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ((unit) = (e0))   ### TransEq 223 224 225
% 269.86/270.02  227. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1)))   ### Sym(=)
% 269.86/270.02  228. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1)))   ### Sym(=)
% 269.86/270.02  229. ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ((unit) = (e0))   ### TransEq 223 227 228
% 269.86/270.02  230. ((op (e4) (e1)) = (e1)) ((e1) != (op (e4) (e1)))   ### Sym(=)
% 269.86/270.02  231. ((op (e4) (e1)) = (e1)) ((e1) != (op (e4) (e1)))   ### Sym(=)
% 269.86/270.02  232. ((op (e0) (e1)) != (op (e4) (e1))) ((op (unit) (e1)) = (e1)) ((op (e4) (e1)) = (e1)) ((unit) = (e0))   ### TransEq 223 230 231
% 269.86/270.02  233. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((e2) != (e4)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e4) = (op (e1) (e1))) ((e3) != (e4)) ((op (e3) (unit)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e4)) = (e4)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e1) (unit)) = (e1)) ((op (e1) (e4)) = (e1)) ((op (e0) (e4)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4))))))   ### DisjTree 219 221 226 229 232
% 269.86/270.02  234. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e0) (e4)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((e3) != (e4)) ((e4) = (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((unit) = (e0)) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0)))   ### DisjTree 76 79 233 173 175
% 269.86/270.02  235. (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((e2) != (e4)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((e3) != (e4)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e1) (e4)) = (e1)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((unit) = (e0)) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((e4) = (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) ((op (e0) (e3)) = (e1)) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4))))))   ### DisjTree 197 200 204 207 234
% 269.86/270.02  236. ((op (e0) (e4)) != (op (e0) (e4)))   ### Refl(=)
% 269.86/270.02  237. ((op (e0) (e4)) != (op (e0) (e4)))   ### Refl(=)
% 269.86/270.02  238. ((op (e2) (e4)) = (e1)) ((e1) != (op (e2) (e4)))   ### Sym(=)
% 269.86/270.02  239. ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e4)) = (e1)) ((op (e2) (e4)) = (e1))   ### TransEq 236 237 238
% 269.86/270.02  240. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e2) (e4)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e1)) ((op (e1) (e3)) != (op (e1) (e4))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e4) (e2)) = (e1)) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((e2) != (e4)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e4) = (op (e1) (e1))) ((e3) != (e4)) ((op (e3) (unit)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((unit) = (e0)) ((op (e1) (unit)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0)))   ### DisjTree 70 176 11 235 239
% 269.86/270.02  241. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (unit)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((e3) != (e4)) ((e4) = (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e4) (e2)) = (e1)) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e1) (e4)) = (e1)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e4)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1))))))   ### DisjTree 240 182 183 215 196
% 269.86/270.02  242. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e2) (e4)) = (e1)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e1)) ((op (e1) (e3)) != (op (e1) (e4))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((e2) != (e4)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e4) = (op (e1) (e1))) ((e3) != (e4)) ((op (e3) (unit)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e1) (unit)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e4) (e2)))   ### DisjTree 7 241 16 21 58
% 269.86/270.02  243. ((op (e2) (e4)) = (e2)) ((op (e2) (e4)) != (e2))   ### Axiom
% 269.86/270.02  244. ((op (e2) (e4)) != (op (e4) (e4))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e4) = (op (e1) (e1))) ((op (e2) (e4)) = (e2))   ### Trans 243 15
% 269.86/270.02  245. ((unit) = (e3)) ((e3) != (unit))   ### Sym(=)
% 269.86/270.02  246. ((op (e3) (e4)) != (op (unit) (e4))) ((unit) = (e3))   ### NotEqual 245 26
% 269.86/270.02  247. ((op (e2) (e4)) = (e4)) ((e4) != (op (e2) (e4)))   ### Sym(=)
% 269.86/270.02  248. ((op (e2) (e4)) = (e4)) ((e4) != (op (e2) (e4)))   ### Sym(=)
% 269.86/270.02  249. ((op (e2) (e4)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e2) (e4)) = (e4)) ((unit) = (e3))   ### TransEq-sym 246 247 248
% 269.86/270.02  250. ((op (e2) (e4)) = (e4)) ((e4) != (op (e2) (e4)))   ### Sym(=)
% 269.86/270.02  251. ((op (e2) (e4)) = (e4)) ((e4) != (op (e2) (e4)))   ### Sym(=)
% 269.86/270.02  252. ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e2) (e4)) = (e4)) ((unit) = (e4))   ### TransEq-sym 49 250 251
% 269.86/270.02  253. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4)))   ### DisjTree 164 182 183 249 252
% 269.86/270.02  254. (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e1) (e2)) != (op (e4) (e2))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (unit)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((e3) != (e4)) ((e4) = (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e1) (e4)) = (e1)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e3))) (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e4)))   ### DisjTree 65 242 244 57 253
% 269.86/270.02  255. ((unit) = (e3)) ((e3) != (unit))   ### Sym(=)
% 269.86/270.02  256. ((op (e3) (e1)) != (op (unit) (e1))) ((unit) = (e3))   ### NotEqual 255 2
% 269.86/270.02  257. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1)))   ### Sym(=)
% 269.86/270.02  258. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1)))   ### Sym(=)
% 269.86/270.02  259. ((op (e2) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ((unit) = (e3))   ### TransEq-sym 256 257 258
% 269.86/270.02  260. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e2) (unit)) = (e2)) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) = (e1)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1)))   ### DisjTree 226 182 183 259 196
% 269.86/270.02  261. ((unit) = (e3)) ((e3) != (unit))   ### Sym(=)
% 269.86/270.02  262. ((op (e3) (e2)) != (op (unit) (e2))) ((unit) = (e3))   ### NotEqual 261 71
% 269.86/270.02  263. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2)))   ### Sym(=)
% 269.86/270.02  264. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2)))   ### Sym(=)
% 269.86/270.02  265. ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ((unit) = (e3))   ### TransEq-sym 262 263 264
% 269.86/270.02  266. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e0) (e2)) = (e2)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1)))   ### DisjTree 103 182 183 265 196
% 269.86/270.02  267. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e4))) (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e1)) ((op (e1) (e3)) != (op (e1) (e4))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((e2) != (e4)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((e4) = (op (e1) (e1))) ((e3) != (e4)) ((op (e3) (unit)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e1) (unit)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4))))))   ### DisjTree 254 260 266 25 109
% 269.86/270.02  268. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2))   ### Axiom
% 269.86/270.02  269. ((op (e1) (e4)) != (op (e4) (e4))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e4) = (op (e1) (e1))) ((op (e1) (e4)) = (e2))   ### Trans 268 15
% 269.86/270.02  270. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((unit) = (e0)) ((e2) != (e4)) ((e4) = (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((e3) != (e4)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (unit)) = (e3)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (unit) (e3)) = (e3)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e3)) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2))))))   ### DisjTree 169 221 226 229 232
% 269.86/270.02  271. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((e3) != (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e4) = (op (e1) (e1))) ((e2) != (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((unit) = (e0)) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0)))   ### DisjTree 76 79 270 173 175
% 269.86/270.02  272. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((e2) != (e4)) ((e4) = (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((e3) != (e4)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (unit)) = (e3)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (unit) (e3)) = (e3)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e4)) = (e3)) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2))))))   ### DisjTree 271 182 183 265 196
% 269.86/270.02  273. ((unit) = (e3)) ((e3) != (unit))   ### Sym(=)
% 269.86/270.02  274. ((op (e2) (e3)) != (op (e2) (unit))) ((unit) = (e3))   ### NotEqual 71 273
% 269.86/270.02  275. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1)))   ### Sym(=)
% 269.86/270.02  276. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1)))   ### Sym(=)
% 269.86/270.02  277. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) = (e2)) ((unit) = (e3))   ### TransEq-sym 274 275 276
% 269.86/270.02  278. ((unit) = (e4)) ((e4) != (unit))   ### Sym(=)
% 269.86/270.02  279. ((op (e3) (e4)) != (op (e3) (unit))) ((unit) = (e4))   ### NotEqual 37 278
% 269.86/270.02  280. ((op (e1) (e4)) = (e3)) ((e3) != (op (e1) (e4)))   ### Sym(=)
% 269.86/270.02  281. ((op (e1) (e4)) = (e3)) ((e3) != (op (e1) (e4)))   ### Sym(=)
% 269.86/270.02  282. ((op (e1) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((op (e1) (e4)) = (e3)) ((unit) = (e4))   ### TransEq-sym 279 280 281
% 269.86/270.02  283. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1)))   ### DisjTree 103 182 183 277 282
% 269.86/270.02  284. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((e3) != (e4)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e4) = (op (e1) (e1))) ((e2) != (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4))))))   ### DisjTree 272 260 283 25 109
% 269.86/270.02  285. ((op (e1) (e4)) = (e4)) ((op (e1) (e4)) != (e4))   ### Axiom
% 269.86/270.02  286. ((op (e1) (e1)) != (op (e1) (e1)))   ### Refl(=)
% 269.86/270.02  287. ((op (e1) (e1)) != (op (e1) (e4))) ((e4) = (op (e1) (e1))) ((op (e1) (e4)) = (e4))   ### Trans-sym 285 286
% 269.86/270.02  288. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e1) (e1)) != (op (e1) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (unit)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((e3) != (e4)) ((e4) = (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e4) (e2))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e3))) (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e1) (e4)))   ### DisjTree 61 267 269 284 287
% 269.86/270.02  289. ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (e3))   ### Axiom
% 269.86/270.02  290. ((op (e0) (e2)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e0) (e2)) = (e3))   ### Trans 289 20
% 269.86/270.02  291. ((e0) != (e0))   ### NotEqual
% 269.86/270.02  292. ((unit) = (e3)) ((e3) != (unit))   ### Sym(=)
% 269.86/270.02  293. ((op (e0) (e3)) != (op (e0) (unit))) ((unit) = (e3))   ### NotEqual 291 292
% 269.86/270.02  294. ((op (e0) (e4)) = (e0)) ((e0) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  295. ((op (e0) (e4)) = (e0)) ((e0) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  296. ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (unit)) = (e0)) ((op (e0) (e4)) = (e0)) ((unit) = (e3))   ### TransEq 293 294 295
% 269.86/270.02  297. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e2) (unit)) = (e2)) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e0) (e4)) = (e0)) ((op (e0) (unit)) = (e0)) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e2)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4)))   ### DisjTree 203 182 183 296 196
% 269.86/270.02  298. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e2) (unit)) = (e2)) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e1) (e4)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e2)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4)))   ### DisjTree 203 182 183 215 196
% 269.86/270.02  299. (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e4)) != (op (e3) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e2)) != (op (e2) (e4))) ((e4) = (op (e1) (e1))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e1)) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e4)))   ### DisjTree 65 239 244 57 253
% 269.86/270.02  300. ((unit) = (e2)) ((e2) != (unit))   ### Sym(=)
% 269.86/270.02  301. ((op (e4) (e2)) != (op (e4) (unit))) ((unit) = (e2))   ### NotEqual 26 300
% 269.86/270.02  302. ((op (e0) (e2)) = (e4)) ((e4) != (op (e0) (e2)))   ### Sym(=)
% 269.86/270.02  303. ((op (e0) (e2)) = (e4)) ((e4) != (op (e0) (e2)))   ### Sym(=)
% 269.86/270.02  304. ((op (e0) (e2)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e0) (e2)) = (e4)) ((unit) = (e2))   ### TransEq-sym 301 302 303
% 269.86/270.02  305. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e1) (e4)) = (e3)) ((op (e3) (unit)) = (e3)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e1)) = (e1)) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e4) (e2))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e2)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4)))   ### DisjTree 203 182 304 259 282
% 269.86/270.02  306. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e1) (e4)) = (e3)) ((op (e3) (unit)) = (e3)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e1)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e4) (e2))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e2)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4)))   ### DisjTree 203 182 304 277 282
% 269.86/270.02  307. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e2)) = (e4)) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e1) (e4)) = (e3)) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e0) (e4)) = (e1)) ((op (e2) (e4)) != (op (e4) (e4))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e4) = (op (e1) (e1))) ((op (e2) (e2)) != (op (e2) (e4))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (unit) (e4)) = (e4)) (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4))))))   ### DisjTree 299 305 306 25 109
% 269.86/270.02  308. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e1) (e1)) != (op (e1) (e4))) (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) = (e1)) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((e4) = (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e1) (unit)) = (e1)) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e1) (e4)))   ### DisjTree 61 298 269 307 287
% 269.86/270.02  309. ((op (e0) (e4)) = (e2)) ((op (e0) (e4)) != (e2))   ### Axiom
% 269.86/270.02  310. ((op (e0) (e4)) != (op (e4) (e4))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e4) = (op (e1) (e1))) ((op (e0) (e4)) = (e2))   ### Trans 309 15
% 269.86/270.02  311. ((op (e0) (e4)) = (e3)) ((e3) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  312. ((op (e0) (e4)) = (e3)) ((e3) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  313. ((op (e0) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((op (e0) (e4)) = (e3)) ((unit) = (e4))   ### TransEq-sym 279 311 312
% 269.86/270.02  314. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) = (e3)) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e1) (e4)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e2) (e0)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e2)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4)))   ### DisjTree 203 182 183 215 313
% 269.86/270.02  315. ((op (e0) (e4)) != (op (e0) (e4)))   ### Refl(=)
% 269.86/270.02  316. ((op (e0) (e4)) != (op (e0) (e4)))   ### Refl(=)
% 269.86/270.02  317. ((op (e1) (e4)) = (e3)) ((e3) != (op (e1) (e4)))   ### Sym(=)
% 269.86/270.02  318. ((op (e0) (e4)) != (op (e1) (e4))) ((op (e0) (e4)) = (e3)) ((op (e1) (e4)) = (e3))   ### TransEq 315 316 317
% 269.86/270.02  319. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e1) (e1)) != (op (e1) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((e4) = (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e1) (unit)) = (e1)) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) = (e3)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (e2)) != (op (e1) (e4)))   ### DisjTree 61 314 269 318 287
% 269.86/270.02  320. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  321. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4)))   ### Sym(=)
% 269.86/270.02  322. ((op (e0) (e4)) != (op (e3) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e3))   ### TransEq-sym 246 320 321
% 269.86/270.02  323. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) ((e4) = (op (e1) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e2)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4)))   ### DisjTree 203 182 212 322 218
% 269.86/270.02  324. (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e2)) != (op (e1) (e4))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e1) (unit)) = (e1)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e1) (e1)) != (op (e1) (e4))) (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((e4) = (op (e1) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (unit)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (unit)) = (e0)) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4))))))   ### DisjTree 297 308 310 319 323
% 269.86/270.02  325. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e2)) = (e4)))))) ((op (e0) (unit)) = (e0)) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e0) (e4)) != (op (e3) (e4))) (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e4))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e4))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e3)) != (op (e1) (e4))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (unit) (e2)) = (e2)) ((e2) != (e4)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != 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!= (op (e3) (e4))) ((op (e1) (e1)) != (op (e1) (e4))) (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) ((e4) = (op (e1) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e4) (e2)) != (op (e4) (e3))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e0) (e2)) != (op (e1) (e2)))   ### DisjTree 5 59 288 290 324
% 269.86/270.02  326. 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(e2)) != (op (e3) (e2))) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e1) (e1))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e1) (e1)) != (op (e1) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (unit)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((e3) != (e4)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e1) (e1)) != (op (e4) (e1))) (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e4))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e0) (unit)) = (e0))   ### ConjTree 325
% 269.86/270.02  327. 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(e2)))))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e3)) != (op (e1) (e4))) ((e1) != (e4)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e2) != (e4)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) ((op (e0) (e4)) != (op (e2) (e4))) (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((e3) != (e4)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e1) (e1)) != (op (e1) (e4))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) ((e4) = (op (e1) (e1))) ((op (e2) (e2)) != (op (e4) (e2))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) ((op (e2) (e2)) != (op (e2) (e4))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((((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))))))))))))))))))))))))))))))   ### ConjTree 326
% 269.86/270.03  328. 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(op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e4) (e1)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e4))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((op (e2) (e2)) != (op (e4) (e2))) ((e4) = (op (e1) (e1))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e1) (e1)) != (op (e1) (e4))) ((op (e1) (e4)) != (op (e3) (e4))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((e3) != (e4)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e2) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e4)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e4)) ((op (e1) (e3)) != (op (e1) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e4))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e4)) != (op (e3) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) (((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)) /\ (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4))))))))))))))))   ### ConjTree 327
% 269.86/270.03  329. 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/\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e4))) /\ (((op (e2) (e3)) != (op (e2) (e4))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e4))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e4))) /\ (((op (e3) (e2)) != (op (e3) (e3))) /\ (((op (e3) (e2)) != (op (e3) (e4))) /\ (((op (e3) (e3)) != (op (e3) (e4))) /\ (((op (e4) (e0)) != (op (e4) (e1))) /\ (((op (e4) (e0)) != (op (e4) (e2))) /\ (((op (e4) (e0)) != (op (e4) (e3))) /\ (((op (e4) (e0)) != (op (e4) (e4))) /\ (((op (e4) (e1)) != (op (e4) (e2))) /\ (((op (e4) (e1)) != (op (e4) (e3))) /\ (((op (e4) (e1)) != (op (e4) (e4))) /\ (((op (e4) (e2)) != (op (e4) (e3))) /\ (((op (e4) (e2)) != (op (e4) (e4))) /\ ((op (e4) (e3)) != (op (e4) (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((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)) /\ (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))))))))))))) ((e1) != (e4)) ((e2) != (e4)) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) ((e3) != (e4)) ((e4) = (op (e1) (e1))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e0) = 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\/ (((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)) 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= (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 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((((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)))))))))))))))))))))))))))))))))))))))))))))))))))))))   ### ConjTree 328
% 269.86/270.03  330. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (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) 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(((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 (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 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\/ ((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)))))))))))))))))))))))))))))) ((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) ((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) ((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) ((e4) = (op (e1) (e1))) ((((op (e0) (op (e0) (e1))) != (e1)) /\ ((op (e1) (op (e0) (e1))) = (e0))) \/ ((((op (e1) (op (e1) (e1))) != (e1)) /\ ((op (e1) (op (e1) (e1))) = (e1))) \/ ((((op (e2) (op (e2) (e1))) != (e1)) /\ ((op (e1) (op (e2) (e1))) = (e2))) \/ ((((op (e3) (op (e3) (e1))) != (e1)) /\ ((op (e1) (op (e3) (e1))) = (e3))) \/ (((op (e4) (op (e4) (e1))) != (e1)) /\ ((op (e1) (op (e4) (e1))) = (e4))))))) (((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)) /\ (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))))))))))))) (((op (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e0)) != (op (e4) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e4) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e4) (e0))) /\ (((op (e3) (e0)) != (op (e4) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e1)) != (op (e4) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e4) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e4) (e1))) /\ (((op (e3) (e1)) != (op (e4) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ (((op (e0) (e2)) != (op (e2) (e2))) /\ (((op (e0) (e2)) != (op (e3) (e2))) /\ (((op (e0) (e2)) != (op (e4) (e2))) /\ (((op (e1) (e2)) != (op (e2) (e2))) /\ (((op (e1) (e2)) != (op (e3) (e2))) /\ (((op (e1) (e2)) != (op (e4) (e2))) /\ (((op (e2) (e2)) != (op (e3) (e2))) /\ (((op (e2) (e2)) != (op (e4) (e2))) /\ (((op (e3) (e2)) != (op (e4) (e2))) /\ (((op (e0) (e3)) != (op (e1) (e3))) /\ (((op (e0) (e3)) != (op (e2) (e3))) /\ (((op (e0) (e3)) != (op (e3) (e3))) /\ (((op (e0) (e3)) != (op (e4) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e4) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e4) (e3))) /\ (((op (e3) (e3)) != (op (e4) (e3))) /\ (((op (e0) (e4)) != (op (e1) (e4))) /\ (((op (e0) (e4)) != (op (e2) (e4))) /\ (((op (e0) (e4)) != (op (e3) (e4))) /\ (((op (e0) (e4)) != (op (e4) (e4))) /\ (((op (e1) (e4)) != (op (e2) (e4))) /\ (((op (e1) (e4)) != (op (e3) (e4))) /\ (((op (e1) (e4)) != (op (e4) (e4))) /\ (((op (e2) (e4)) != (op (e3) (e4))) /\ (((op (e2) (e4)) != (op (e4) (e4))) /\ (((op (e3) (e4)) != (op (e4) (e4))) /\ (((op (e0) (e0)) != (op (e0) (e1))) /\ (((op (e0) (e0)) != (op (e0) (e2))) /\ (((op (e0) (e0)) != (op (e0) (e3))) /\ (((op (e0) (e0)) != (op (e0) (e4))) /\ (((op (e0) (e1)) != (op (e0) (e2))) /\ (((op (e0) (e1)) != (op (e0) (e3))) /\ (((op (e0) (e1)) != (op (e0) (e4))) /\ (((op (e0) (e2)) != (op (e0) (e3))) /\ (((op (e0) (e2)) != (op (e0) (e4))) /\ (((op (e0) (e3)) != (op (e0) (e4))) /\ (((op (e1) (e0)) != (op (e1) (e1))) /\ (((op (e1) (e0)) != (op (e1) (e2))) /\ (((op (e1) (e0)) != (op (e1) (e3))) /\ (((op (e1) (e0)) != (op (e1) (e4))) /\ (((op (e1) (e1)) != (op (e1) (e2))) /\ (((op (e1) (e1)) != (op (e1) (e3))) /\ (((op (e1) (e1)) != (op (e1) (e4))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e4))) /\ (((op (e1) (e3)) != (op (e1) (e4))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e4))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e4))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e4))) /\ (((op (e2) (e3)) != (op (e2) (e4))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e4))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e4))) /\ (((op (e3) (e2)) != (op (e3) (e3))) /\ (((op (e3) (e2)) != (op (e3) (e4))) /\ (((op (e3) (e3)) != (op (e3) (e4))) /\ (((op (e4) (e0)) != (op (e4) (e1))) /\ (((op (e4) (e0)) != (op (e4) (e2))) /\ (((op (e4) (e0)) != (op (e4) (e3))) /\ (((op (e4) (e0)) != (op (e4) (e4))) /\ (((op (e4) (e1)) != (op (e4) (e2))) /\ (((op (e4) (e1)) != (op (e4) (e3))) /\ (((op (e4) (e1)) != (op (e4) (e4))) /\ (((op (e4) (e2)) != (op (e4) (e3))) /\ (((op (e4) (e2)) != (op (e4) (e4))) /\ ((op (e4) (e3)) != (op (e4) (e4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))   ### ConjTree 329
% 269.87/270.03  331. (((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) /\ ((e4) = (op (e1) (e1)))))) (((op (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e0)) != (op (e4) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e4) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e4) (e0))) /\ (((op (e3) (e0)) != (op (e4) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e1)) != (op (e4) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e4) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e4) (e1))) /\ (((op (e3) (e1)) != (op (e4) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ (((op (e0) (e2)) != (op (e2) (e2))) /\ (((op (e0) (e2)) != (op (e3) (e2))) /\ (((op (e0) (e2)) != (op (e4) (e2))) /\ (((op (e1) (e2)) != (op (e2) (e2))) /\ (((op (e1) (e2)) != (op (e3) (e2))) /\ (((op (e1) (e2)) != (op (e4) (e2))) /\ (((op (e2) (e2)) != (op (e3) (e2))) /\ (((op (e2) (e2)) != (op (e4) (e2))) /\ (((op (e3) (e2)) != (op (e4) (e2))) /\ (((op (e0) (e3)) != (op (e1) (e3))) /\ (((op (e0) (e3)) != (op (e2) (e3))) /\ (((op (e0) (e3)) != (op (e3) (e3))) /\ (((op (e0) (e3)) != (op (e4) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e4) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e4) (e3))) /\ (((op (e3) (e3)) != (op (e4) (e3))) /\ (((op (e0) (e4)) != (op (e1) (e4))) /\ (((op (e0) (e4)) != (op (e2) (e4))) /\ (((op (e0) (e4)) != (op (e3) (e4))) /\ (((op (e0) (e4)) != (op (e4) (e4))) /\ (((op (e1) (e4)) != (op (e2) (e4))) /\ (((op (e1) (e4)) != (op 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!= (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4)))))))))))   ### ConjTree 330
% 269.87/270.03  332. 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= (e3)) /\ (((op (unit) (e4)) = (e4)) /\ (((op (e4) (unit)) = (e4)) /\ (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))))))))))))) (((op (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e0)) != (op (e4) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e4) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e4) (e0))) /\ (((op (e3) (e0)) != (op (e4) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e1)) != (op (e4) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e4) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e4) (e1))) /\ (((op (e3) (e1)) != (op (e4) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ 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(e0)) != (op (e2) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e4))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e4))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e4))) /\ (((op (e2) (e3)) != (op (e2) (e4))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e4))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e4))) /\ (((op (e3) (e2)) != (op (e3) (e3))) /\ (((op (e3) (e2)) != (op (e3) (e4))) /\ (((op (e3) (e3)) != (op (e3) (e4))) /\ (((op (e4) (e0)) != (op (e4) (e1))) /\ (((op (e4) (e0)) != (op (e4) (e2))) /\ (((op (e4) (e0)) != (op (e4) (e3))) /\ (((op (e4) (e0)) != (op (e4) (e4))) /\ (((op (e4) (e1)) != (op (e4) (e2))) /\ (((op (e4) (e1)) != (op (e4) (e3))) /\ (((op (e4) (e1)) != (op (e4) (e4))) /\ (((op (e4) (e2)) != (op (e4) (e3))) /\ (((op (e4) (e2)) != (op (e4) (e4))) /\ ((op (e4) (e3)) != (op (e4) (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((e0) = (op (e1) (op (op (e1) (e1)) (op (e1) (e1))))) /\ (((e2) = (op (op (e1) (e1)) (op (e1) (e1)))) /\ (((e3) = (op (op (op (e1) (e1)) (op (e1) (e1))) (op (op (e1) (e1)) (op (e1) (e1))))) /\ ((e4) = (op (e1) (e1))))))   ### ConjTree 331
% 269.87/270.03  333. (-. (-. 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(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))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4)))))))))))   ### NotNot 332
% 269.87/270.03  % SZS output end Proof
% 269.87/270.03  (* END-PROOF *)
%------------------------------------------------------------------------------