SuperZenon---0.0.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : ALG093+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 18:04:59 EDT 2022

% Result   : Theorem 0.61s 0.78s
% Output   : Proof 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : ALG093+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 04:31:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.61/0.78  % SZS status Theorem
% 0.61/0.78  (* PROOF-FOUND *)
% 0.61/0.78  (* BEGIN-PROOF *)
% 0.61/0.78  % SZS output start Proof
% 0.61/0.78  1. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0)))   ### Sym(=)
% 0.61/0.78  2. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0)))   ### Sym(=)
% 0.61/0.78  3. ((e0) != (e0))   ### NotEqual
% 0.61/0.78  4. ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1))   ### TransEq-sym 1 2 3
% 0.61/0.78  5. (-. ((op (e0) (e0)) != (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e1))   ### NotNot 4
% 0.61/0.78  6. (-. (((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit))))) ((e0) != (e1)) ((op (e0) (e0)) = (e0))   ### NotOr 5
% 0.61/0.78  7. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1))   ### Axiom
% 0.61/0.78  8. ((e1) = (unit)) ((e1) != (unit))   ### Axiom
% 0.61/0.78  9. ((e0) != (e1)) ((unit) = (e0)) ((e1) = (unit))   ### Trans-sym 8 3
% 0.61/0.78  10. (-. ((e1) != (unit))) ((unit) = (e0)) ((e0) != (e1))   ### NotNot 9
% 0.61/0.78  11. (-. (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) ((e0) != (e1)) ((unit) = (e0)) ((op (e0) (e1)) = (e1))   ### NotAnd 7 10
% 0.61/0.78  12. (-. (((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit))))) ((op (e0) (e1)) = (e1)) ((unit) = (e0)) ((e0) != (e1))   ### NotOr 11
% 0.61/0.78  13. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2)))   ### Sym(=)
% 0.61/0.78  14. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2)))   ### Sym(=)
% 0.61/0.78  15. ((e2) != (e2))   ### NotEqual
% 0.61/0.78  16. ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) = (e1))   ### TransEq 13 14 15
% 0.61/0.78  17. (-. ((op (e0) (e2)) != (e1))) ((op (e0) (e2)) = (e2)) ((e1) != (e2))   ### NotNot 16
% 0.61/0.78  18. (-. (((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit))))) ((e1) != (e2)) ((op (e0) (e2)) = (e2))   ### NotOr 17
% 0.61/0.78  19. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3)))   ### Sym(=)
% 0.61/0.78  20. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3)))   ### Sym(=)
% 0.61/0.78  21. ((e3) != (e3))   ### NotEqual
% 0.61/0.78  22. ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) = (e1))   ### TransEq 19 20 21
% 0.61/0.78  23. (-. ((op (e0) (e3)) != (e1))) ((op (e0) (e3)) = (e3)) ((e1) != (e3))   ### NotNot 22
% 0.61/0.78  24. (-. (((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit))))) ((e1) != (e3)) ((op (e0) (e3)) = (e3))   ### NotOr 23
% 0.61/0.78  25. ((op (e0) (e4)) = (e1)) ((e1) != (op (e0) (e4)))   ### Sym(=)
% 0.61/0.78  26. ((op (e0) (e4)) = (e1)) ((e1) != (op (e0) (e4)))   ### Sym(=)
% 0.61/0.78  27. ((e4) != (e4))   ### NotEqual
% 0.61/0.78  28. ((e1) != (e4)) ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) = (e1))   ### TransEq 25 26 27
% 0.61/0.78  29. (-. ((op (e0) (e4)) != (e1))) ((op (e0) (e4)) = (e4)) ((e1) != (e4))   ### NotNot 28
% 0.61/0.78  30. (-. (((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit))))) ((e1) != (e4)) ((op (e0) (e4)) = (e4))   ### NotOr 29
% 0.61/0.78  31. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0))   ### Axiom
% 0.61/0.78  32. (-. (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) ((e0) != (e1)) ((unit) = (e0)) ((op (e1) (e1)) = (e0))   ### NotAnd 31 10
% 0.61/0.78  33. (-. (((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit))))) ((op (e1) (e1)) = (e0)) ((unit) = (e0)) ((e0) != (e1))   ### NotOr 32
% 0.61/0.78  34. ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (e1))   ### Axiom
% 0.61/0.78  35. (-. (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) ((e0) != (e1)) ((unit) = (e0)) ((op (e1) (e1)) = (e1))   ### NotAnd 34 10
% 0.61/0.78  36. (-. ((op (e1) (e1)) != (e1))) ((unit) = (e0)) ((e0) != (e1)) (-. (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit))))   ### NotNot 35
% 0.61/0.78  37. (-. (((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit))))) ((e0) != (e1)) ((unit) = (e0))   ### NotOr 36
% 0.61/0.78  38. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2)))   ### Sym(=)
% 0.61/0.78  39. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2)))   ### Sym(=)
% 0.61/0.78  40. ((e1) != (e4)) ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) = (e1))   ### TransEq 38 39 27
% 0.61/0.78  41. (-. ((op (e1) (e2)) != (e1))) ((op (e1) (e2)) = (e4)) ((e1) != (e4))   ### NotNot 40
% 0.61/0.78  42. (-. (((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit))))) ((e1) != (e4)) ((op (e1) (e2)) = (e4))   ### NotOr 41
% 0.61/0.78  43. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3)))   ### Sym(=)
% 0.61/0.78  44. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3)))   ### Sym(=)
% 0.61/0.78  45. ((e1) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e1))   ### TransEq 43 44 15
% 0.61/0.78  46. (-. ((op (e1) (e3)) != (e1))) ((op (e1) (e3)) = (e2)) ((e1) != (e2))   ### NotNot 45
% 0.61/0.78  47. (-. (((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit))))) ((e1) != (e2)) ((op (e1) (e3)) = (e2))   ### NotOr 46
% 0.61/0.78  48. ((op (e1) (e4)) = (e1)) ((e1) != (op (e1) (e4)))   ### Sym(=)
% 0.61/0.78  49. ((op (e1) (e4)) = (e1)) ((e1) != (op (e1) (e4)))   ### Sym(=)
% 0.61/0.78  50. ((e1) != (e3)) ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) = (e1))   ### TransEq 48 49 21
% 0.61/0.78  51. (-. ((op (e1) (e4)) != (e1))) ((op (e1) (e4)) = (e3)) ((e1) != (e3))   ### NotNot 50
% 0.61/0.78  52. (-. (((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit))))) ((e1) != (e3)) ((op (e1) (e4)) = (e3))   ### NotOr 51
% 0.61/0.78  53. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0)))   ### Sym(=)
% 0.61/0.78  54. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0)))   ### Sym(=)
% 0.61/0.78  55. ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e1))   ### TransEq 53 54 15
% 0.61/0.78  56. (-. ((op (e2) (e0)) != (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2))   ### NotNot 55
% 0.61/0.78  57. (-. (((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2))   ### NotOr 56
% 0.61/0.78  58. ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (e1))   ### Axiom
% 0.61/0.78  59. (-. (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) ((e0) != (e1)) ((unit) = (e0)) ((op (e2) (e1)) = (e1))   ### NotAnd 58 10
% 0.61/0.78  60. (-. ((op (e2) (e1)) != (e1))) ((unit) = (e0)) ((e0) != (e1)) (-. (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit))))   ### NotNot 59
% 0.61/0.78  61. (-. (((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit))))) ((e0) != (e1)) ((unit) = (e0))   ### NotOr 60
% 0.61/0.78  62. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2)))   ### Sym(=)
% 0.61/0.78  63. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2)))   ### Sym(=)
% 0.61/0.78  64. ((e1) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) = (e1))   ### TransEq 62 63 21
% 0.61/0.78  65. (-. ((op (e2) (e2)) != (e1))) ((op (e2) (e2)) = (e3)) ((e1) != (e3))   ### NotNot 64
% 0.61/0.78  66. (-. (((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit))))) ((e1) != (e3)) ((op (e2) (e2)) = (e3))   ### NotOr 65
% 0.61/0.78  67. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3)))   ### Sym(=)
% 0.61/0.78  68. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3)))   ### Sym(=)
% 0.61/0.78  69. ((e0) != (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) = (e1))   ### TransEq-sym 67 68 3
% 0.61/0.78  70. (-. ((op (e2) (e3)) != (e1))) ((op (e2) (e3)) = (e0)) ((e0) != (e1))   ### NotNot 69
% 0.61/0.78  71. (-. (((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit))))) ((e0) != (e1)) ((op (e2) (e3)) = (e0))   ### NotOr 70
% 0.61/0.78  72. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4))   ### Axiom
% 0.61/0.78  73. (-. (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) ((e0) != (e1)) ((unit) = (e0)) ((op (e2) (e1)) = (e4))   ### NotAnd 72 10
% 0.61/0.78  74. (-. (((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit))))) ((op (e2) (e1)) = (e4)) ((unit) = (e0)) ((e0) != (e1))   ### NotOr 73
% 0.61/0.78  75. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0)))   ### Sym(=)
% 0.61/0.78  76. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0)))   ### Sym(=)
% 0.61/0.78  77. ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e1))   ### TransEq 75 76 21
% 0.61/0.78  78. (-. ((op (e3) (e0)) != (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3))   ### NotNot 77
% 0.61/0.78  79. (-. (((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3))   ### NotOr 78
% 0.61/0.78  80. ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) != (e1))   ### Axiom
% 0.61/0.78  81. (-. (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) ((e0) != (e1)) ((unit) = (e0)) ((op (e3) (e1)) = (e1))   ### NotAnd 80 10
% 0.61/0.78  82. (-. ((op (e3) (e1)) != (e1))) ((unit) = (e0)) ((e0) != (e1)) (-. (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit))))   ### NotNot 81
% 0.61/0.78  83. (-. (((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit))))) ((e0) != (e1)) ((unit) = (e0))   ### NotOr 82
% 0.61/0.78  84. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2))   ### Axiom
% 0.61/0.78  85. (-. (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) ((e0) != (e1)) ((unit) = (e0)) ((op (e3) (e1)) = (e2))   ### NotAnd 84 10
% 0.61/0.78  86. (-. (((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit))))) ((op (e3) (e1)) = (e2)) ((unit) = (e0)) ((e0) != (e1))   ### NotOr 85
% 0.61/0.78  87. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3)))   ### Sym(=)
% 0.61/0.78  88. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3)))   ### Sym(=)
% 0.61/0.78  89. ((e1) != (e4)) ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) = (e1))   ### TransEq 87 88 27
% 0.61/0.78  90. (-. ((op (e3) (e3)) != (e1))) ((op (e3) (e3)) = (e4)) ((e1) != (e4))   ### NotNot 89
% 0.61/0.78  91. (-. (((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit))))) ((e1) != (e4)) ((op (e3) (e3)) = (e4))   ### NotOr 90
% 0.61/0.78  92. ((op (e3) (e4)) = (e1)) ((e1) != (op (e3) (e4)))   ### Sym(=)
% 0.61/0.78  93. ((op (e3) (e4)) = (e1)) ((e1) != (op (e3) (e4)))   ### Sym(=)
% 0.61/0.78  94. ((e0) != (e1)) ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) = (e1))   ### TransEq-sym 92 93 3
% 0.61/0.78  95. (-. ((op (e3) (e4)) != (e1))) ((op (e3) (e4)) = (e0)) ((e0) != (e1))   ### NotNot 94
% 0.61/0.78  96. (-. (((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit))))) ((e0) != (e1)) ((op (e3) (e4)) = (e0))   ### NotOr 95
% 0.61/0.78  97. ((op (e4) (e0)) = (e1)) ((e1) != (op (e4) (e0)))   ### Sym(=)
% 0.61/0.78  98. ((op (e4) (e0)) = (e1)) ((e1) != (op (e4) (e0)))   ### Sym(=)
% 0.61/0.78  99. ((e1) != (e4)) ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) = (e1))   ### TransEq 97 98 27
% 0.61/0.78  100. (-. ((op (e4) (e0)) != (e1))) ((op (e4) (e0)) = (e4)) ((e1) != (e4))   ### NotNot 99
% 0.61/0.78  101. (-. (((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit))))) ((e1) != (e4)) ((op (e4) (e0)) = (e4))   ### NotOr 100
% 0.61/0.78  102. ((op (e4) (e1)) = (e1)) ((op (e4) (e1)) != (e1))   ### Axiom
% 0.61/0.78  103. (-. (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) ((e0) != (e1)) ((unit) = (e0)) ((op (e4) (e1)) = (e1))   ### NotAnd 102 10
% 0.61/0.78  104. (-. ((op (e4) (e1)) != (e1))) ((unit) = (e0)) ((e0) != (e1)) (-. (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit))))   ### NotNot 103
% 0.61/0.78  105. (-. (((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit))))) ((e0) != (e1)) ((unit) = (e0))   ### NotOr 104
% 0.61/0.78  106. ((op (e4) (e2)) = (e1)) ((e1) != (op (e4) (e2)))   ### Sym(=)
% 0.61/0.78  107. ((op (e4) (e2)) = (e1)) ((e1) != (op (e4) (e2)))   ### Sym(=)
% 0.61/0.78  108. ((e0) != (e1)) ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) = (e1))   ### TransEq-sym 106 107 3
% 0.61/0.78  109. (-. ((op (e4) (e2)) != (e1))) ((op (e4) (e2)) = (e0)) ((e0) != (e1))   ### NotNot 108
% 0.61/0.78  110. (-. (((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit))))) ((e0) != (e1)) ((op (e4) (e2)) = (e0))   ### NotOr 109
% 0.61/0.78  111. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3))   ### Axiom
% 0.61/0.78  112. (-. (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) ((e0) != (e1)) ((unit) = (e0)) ((op (e4) (e1)) = (e3))   ### NotAnd 111 10
% 0.61/0.78  113. (-. (((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit))))) ((op (e4) (e1)) = (e3)) ((unit) = (e0)) ((e0) != (e1))   ### NotOr 112
% 0.61/0.78  114. ((op (e4) (e4)) = (e1)) ((e1) != (op (e4) (e4)))   ### Sym(=)
% 0.61/0.78  115. ((op (e4) (e4)) = (e1)) ((e1) != (op (e4) (e4)))   ### Sym(=)
% 0.61/0.78  116. ((e1) != (e2)) ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) = (e1))   ### TransEq 114 115 15
% 0.61/0.78  117. (-. ((op (e4) (e4)) != (e1))) ((op (e4) (e4)) = (e2)) ((e1) != (e2))   ### NotNot 116
% 0.61/0.78  118. (-. (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit))))) ((e1) != (e2)) ((op (e4) (e4)) = (e2))   ### NotOr 117
% 0.61/0.78  119. (-. ((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) (e1)) = (e4)) /\ ((e1) != (unit))))))))))))))))))))))))))))) ((op (e4) (e4)) = (e2)) ((op (e4) (e1)) = (e3)) ((op (e4) (e2)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e3) (e4)) = (e0)) ((op (e3) (e3)) = (e4)) ((op (e3) (e1)) = (e2)) ((op (e3) (e0)) = (e3)) ((op (e2) (e1)) = (e4)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e4)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e1) (e1)) = (e0)) ((op (e0) (e4)) = (e4)) ((e1) != (e4)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((unit) = (e0)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e1))   ### DisjTree 6 12 18 24 30 33 37 42 47 52 57 61 66 71 74 79 83 86 91 96 101 105 110 113 118
% 0.61/0.78  120. (-. 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\/ (((op (e2) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e2)) != (e3)) \/ (((op (e2) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e3)) != (e3)) \/ (((op (e2) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e4)) != (e3)) \/ (((op (e2) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e0)) != (e3)) \/ (((op (e3) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e1)) != (e3)) \/ (((op (e3) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e2)) != (e3)) \/ (((op (e3) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e3)) != (e3)) \/ (((op (e3) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e3) (e4)) != (e3)) \/ (((op (e3) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e0)) != (e3)) \/ (((op (e4) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e2)) != (e3)) \/ (((op (e4) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e4) (e3)) != (e3)) \/ (((op (e4) (e3)) = (e3)) /\ ((e3) != 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((((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e2)) != (e4)) \/ (((op (e2) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e3)) != (e4)) \/ (((op (e2) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e4)) != (e4)) \/ (((op (e2) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e0)) != (e4)) \/ (((op (e3) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e1)) != (e4)) \/ (((op (e3) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e2)) != (e4)) \/ (((op (e3) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e3)) != (e4)) \/ (((op (e3) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e3) (e4)) != (e4)) \/ (((op (e3) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e0)) != (e4)) \/ (((op (e4) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e1)) != (e4)) \/ (((op (e4) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e2)) != (e4)) \/ (((op (e4) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e4) (e3)) != (e4)) \/ (((op (e4) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit))))))))))))))))))))))))))))))))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) = (e1)) ((unit) = (e0)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((e1) != (e4)) ((op (e0) (e4)) = (e4)) ((op (e1) (e1)) = (e0)) ((op (e1) (e2)) = (e4)) ((op (e1) (e3)) = (e2)) ((op (e1) (e4)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e0)) ((op (e2) (e1)) = (e4)) ((op (e3) (e0)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) = (e4)) ((op (e3) (e4)) = (e0)) ((op (e4) (e0)) = (e4)) ((op (e4) (e2)) = (e0)) ((op (e4) (e1)) = (e3)) ((op (e4) (e4)) = (e2))   ### ConjTree 119
% 0.61/0.78  121. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0))   ### Axiom
% 0.61/0.78  122. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ ((op (e0) (e0)) = (e4))))))) ((op (e0) (e0)) = (e0))   ### ConjTree 121
% 0.61/0.78  123. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1))   ### Axiom
% 0.61/0.78  124. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ ((op (e0) (e1)) = (e4))))))) ((op (e0) (e1)) = (e1))   ### ConjTree 123
% 0.61/0.78  125. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2))   ### Axiom
% 0.61/0.78  126. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e2)) = (e4))))))) ((op (e0) (e2)) = (e2))   ### ConjTree 125
% 0.61/0.78  127. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3))   ### Axiom
% 0.61/0.78  128. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e3)) = (e4))))))) ((op (e0) (e3)) = (e3))   ### ConjTree 127
% 0.61/0.78  129. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4))   ### Axiom
% 0.61/0.78  130. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4))))))) ((op (e0) (e4)) = (e4))   ### ConjTree 129
% 0.61/0.78  131. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1))   ### Axiom
% 0.61/0.78  132. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ ((op (e1) (e0)) = (e4))))))) ((op (e1) (e0)) = (e1))   ### ConjTree 131
% 0.61/0.78  133. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0))   ### Axiom
% 0.61/0.78  134. (-. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4))))))) ((op (e1) (e1)) = (e0))   ### ConjTree 133
% 0.61/0.78  135. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4))   ### Axiom
% 0.61/0.78  136. (-. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e2)) = (e4))))))) ((op (e1) (e2)) = (e4))   ### ConjTree 135
% 0.61/0.78  137. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2))   ### Axiom
% 0.61/0.78  138. (-. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e3)) = (e4))))))) ((op (e1) (e3)) = (e2))   ### ConjTree 137
% 0.61/0.78  139. ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (e3))   ### Axiom
% 0.61/0.78  140. (-. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4))))))) ((op (e1) (e4)) = (e3))   ### ConjTree 139
% 0.61/0.78  141. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2))   ### Axiom
% 0.61/0.78  142. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e2) (e0)) = (e4))))))) ((op (e2) (e0)) = (e2))   ### ConjTree 141
% 0.61/0.78  143. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4))   ### Axiom
% 0.61/0.78  144. (-. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4))))))) ((op (e2) (e1)) = (e4))   ### ConjTree 143
% 0.61/0.78  145. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3))   ### Axiom
% 0.61/0.78  146. (-. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4))))))) ((op (e2) (e2)) = (e3))   ### ConjTree 145
% 0.61/0.78  147. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0))   ### Axiom
% 0.61/0.78  148. (-. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e3)) = (e4))))))) ((op (e2) (e3)) = (e0))   ### ConjTree 147
% 0.61/0.78  149. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1))   ### Axiom
% 0.61/0.78  150. (-. (((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4))))))) ((op (e2) (e4)) = (e1))   ### ConjTree 149
% 0.61/0.78  151. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3))   ### Axiom
% 0.61/0.78  152. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e4))))))) ((op (e3) (e0)) = (e3))   ### ConjTree 151
% 0.61/0.78  153. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2))   ### Axiom
% 0.61/0.78  154. (-. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4))))))) ((op (e3) (e1)) = (e2))   ### ConjTree 153
% 0.61/0.78  155. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1))   ### Axiom
% 0.61/0.78  156. (-. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e4))))))) ((op (e3) (e2)) = (e1))   ### ConjTree 155
% 0.61/0.78  157. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4))   ### Axiom
% 0.61/0.78  158. (-. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e4))))))) ((op (e3) (e3)) = (e4))   ### ConjTree 157
% 0.61/0.78  159. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0))   ### Axiom
% 0.61/0.78  160. (-. (((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e3) (e4)) = (e4))))))) ((op (e3) (e4)) = (e0))   ### ConjTree 159
% 0.61/0.78  161. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4))   ### Axiom
% 0.61/0.78  162. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4))))))) ((op (e4) (e0)) = (e4))   ### ConjTree 161
% 0.61/0.78  163. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3))   ### Axiom
% 0.61/0.78  164. (-. (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4))))))) ((op (e4) (e1)) = (e3))   ### ConjTree 163
% 0.61/0.78  165. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0))   ### Axiom
% 0.61/0.78  166. (-. (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4))))))) ((op (e4) (e2)) = (e0))   ### ConjTree 165
% 0.61/0.78  167. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1))   ### Axiom
% 0.61/0.78  168. (-. (((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4))))))) ((op (e4) (e3)) = (e1))   ### ConjTree 167
% 0.61/0.78  169. ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) != (e2))   ### Axiom
% 0.61/0.78  170. (-. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e4)) = (e2))   ### ConjTree 169
% 0.61/0.78  171. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  172. ((op (unit) (e0)) != (op (e0) (e0))) ((unit) = (e0))   ### NotEqual 171 3
% 0.61/0.78  173. ((op (unit) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0))   ### Trans 172 3
% 0.61/0.78  174. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  175. ((op (e0) (unit)) != (op (e0) (e0))) ((unit) = (e0))   ### NotEqual 3 174
% 0.61/0.78  176. ((op (e0) (unit)) != (e0)) ((op (e0) (e0)) = (e0)) ((unit) = (e0))   ### Trans 175 3
% 0.61/0.78  177. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  178. ((e1) != (e1))   ### NotEqual
% 0.61/0.78  179. ((op (unit) (e1)) != (op (e0) (e1))) ((unit) = (e0))   ### NotEqual 177 178
% 0.61/0.78  180. ((op (unit) (e1)) != (e1)) ((op (e0) (e1)) = (e1)) ((unit) = (e0))   ### Trans 179 178
% 0.61/0.78  181. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  182. ((op (e1) (unit)) != (op (e1) (e0))) ((unit) = (e0))   ### NotEqual 178 181
% 0.61/0.78  183. ((op (e1) (unit)) != (e1)) ((op (e1) (e0)) = (e1)) ((unit) = (e0))   ### Trans 182 178
% 0.61/0.78  184. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  185. ((op (unit) (e2)) != (op (e0) (e2))) ((unit) = (e0))   ### NotEqual 184 15
% 0.61/0.78  186. ((op (unit) (e2)) != (e2)) ((op (e0) (e2)) = (e2)) ((unit) = (e0))   ### Trans 185 15
% 0.61/0.78  187. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  188. ((op (e2) (unit)) != (op (e2) (e0))) ((unit) = (e0))   ### NotEqual 15 187
% 0.61/0.78  189. ((op (e2) (unit)) != (e2)) ((op (e2) (e0)) = (e2)) ((unit) = (e0))   ### Trans 188 15
% 0.61/0.78  190. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  191. ((op (unit) (e3)) != (op (e0) (e3))) ((unit) = (e0))   ### NotEqual 190 21
% 0.61/0.78  192. ((op (unit) (e3)) != (e3)) ((op (e0) (e3)) = (e3)) ((unit) = (e0))   ### Trans 191 21
% 0.61/0.78  193. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  194. ((op (e3) (unit)) != (op (e3) (e0))) ((unit) = (e0))   ### NotEqual 21 193
% 0.61/0.78  195. ((op (e3) (unit)) != (e3)) ((op (e3) (e0)) = (e3)) ((unit) = (e0))   ### Trans 194 21
% 0.61/0.78  196. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  197. ((op (unit) (e4)) != (op (e0) (e4))) ((unit) = (e0))   ### NotEqual 196 27
% 0.61/0.78  198. ((op (unit) (e4)) != (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e0))   ### Trans 197 27
% 0.61/0.78  199. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  200. ((op (e4) (unit)) != (op (e4) (e0))) ((unit) = (e0))   ### NotEqual 27 199
% 0.61/0.78  201. ((op (e4) (unit)) != (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e0))   ### Trans 200 27
% 0.61/0.78  202. ((unit) = (e0)) ((unit) != (e0))   ### Axiom
% 0.61/0.78  203. (-. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4))))))) ((unit) = (e0))   ### ConjTree 202
% 0.61/0.78  204. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0))   ### Axiom
% 0.61/0.78  205. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e3)) = (e0)) \/ ((op (e0) (e4)) = (e0))))))) ((op (e0) (e0)) = (e0))   ### ConjTree 204
% 0.61/0.78  206. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0))   ### Axiom
% 0.61/0.78  207. (-. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e0)) \/ ((op (e4) (e0)) = (e0))))))) ((op (e0) (e0)) = (e0))   ### ConjTree 206
% 0.61/0.78  208. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1))   ### Axiom
% 0.61/0.78  209. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1))))))) ((op (e0) (e1)) = (e1))   ### ConjTree 208
% 0.61/0.78  210. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1))   ### Axiom
% 0.61/0.78  211. (-. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e1)) \/ ((op (e4) (e0)) = (e1))))))) ((op (e1) (e0)) = (e1))   ### ConjTree 210
% 0.61/0.78  212. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2))   ### Axiom
% 0.61/0.78  213. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e4)) = (e2))))))) ((op (e0) (e2)) = (e2))   ### ConjTree 212
% 0.61/0.78  214. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2))   ### Axiom
% 0.61/0.78  215. (-. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2))))))) ((op (e2) (e0)) = (e2))   ### ConjTree 214
% 0.61/0.78  216. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3))   ### Axiom
% 0.61/0.78  217. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e4)) = (e3))))))) ((op (e0) (e3)) = (e3))   ### ConjTree 216
% 0.61/0.78  218. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3))   ### Axiom
% 0.61/0.78  219. (-. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e3))))))) ((op (e3) (e0)) = (e3))   ### ConjTree 218
% 0.61/0.78  220. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4))   ### Axiom
% 0.61/0.78  221. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4))))))) ((op (e0) (e4)) = (e4))   ### ConjTree 220
% 0.61/0.78  222. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4))   ### Axiom
% 0.61/0.78  223. (-. (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4))))))) ((op (e4) (e0)) = (e4))   ### ConjTree 222
% 0.61/0.78  224. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0))   ### Axiom
% 0.61/0.78  225. (-. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ ((op (e1) (e4)) = (e0))))))) ((op (e1) (e1)) = (e0))   ### ConjTree 224
% 0.61/0.78  226. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0))   ### Axiom
% 0.61/0.78  227. (-. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ ((op (e4) (e1)) = (e0))))))) ((op (e1) (e1)) = (e0))   ### ConjTree 226
% 0.61/0.78  228. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1))   ### Axiom
% 0.61/0.78  229. (-. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ ((op (e1) (e4)) = (e1))))))) ((op (e1) (e0)) = (e1))   ### ConjTree 228
% 0.61/0.78  230. ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (e1))   ### Axiom
% 0.61/0.78  231. (-. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1))))))) ((op (e0) (e1)) = (e1))   ### ConjTree 230
% 0.61/0.78  232. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2))   ### Axiom
% 0.61/0.78  233. (-. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e4)) = (e2))))))) ((op (e1) (e3)) = (e2))   ### ConjTree 232
% 0.61/0.78  234. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2))   ### Axiom
% 0.61/0.78  235. (-. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2))))))) ((op (e3) (e1)) = (e2))   ### ConjTree 234
% 0.61/0.78  236. ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (e3))   ### Axiom
% 0.61/0.78  237. (-. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3))))))) ((op (e1) (e4)) = (e3))   ### ConjTree 236
% 0.61/0.78  238. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3))   ### Axiom
% 0.61/0.78  239. (-. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3))))))) ((op (e4) (e1)) = (e3))   ### ConjTree 238
% 0.61/0.78  240. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4))   ### Axiom
% 0.61/0.78  241. (-. (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4))))))) ((op (e1) (e2)) = (e4))   ### ConjTree 240
% 0.61/0.78  242. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4))   ### Axiom
% 0.61/0.78  243. (-. (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4))))))) ((op (e2) (e1)) = (e4))   ### ConjTree 242
% 0.61/0.78  244. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0))   ### Axiom
% 0.61/0.78  245. (-. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e2) (e4)) = (e0))))))) ((op (e2) (e3)) = (e0))   ### ConjTree 244
% 0.61/0.78  246. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0))   ### Axiom
% 0.61/0.78  247. (-. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e4) (e2)) = (e0))))))) ((op (e4) (e2)) = (e0))   ### ConjTree 246
% 0.61/0.78  248. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1))   ### Axiom
% 0.61/0.78  249. (-. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1))))))) ((op (e2) (e4)) = (e1))   ### ConjTree 248
% 0.61/0.78  250. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1))   ### Axiom
% 0.61/0.78  251. (-. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e4) (e2)) = (e1))))))) ((op (e3) (e2)) = (e1))   ### ConjTree 250
% 0.61/0.78  252. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2))   ### Axiom
% 0.61/0.78  253. (-. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e4)) = (e2))))))) ((op (e2) (e0)) = (e2))   ### ConjTree 252
% 0.61/0.78  254. ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (e2))   ### Axiom
% 0.61/0.78  255. (-. (((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e4) (e2)) = (e2))))))) ((op (e0) (e2)) = (e2))   ### ConjTree 254
% 0.61/0.78  256. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3))   ### Axiom
% 0.61/0.78  257. (-. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3))))))) ((op (e2) (e2)) = (e3))   ### ConjTree 256
% 0.61/0.78  258. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3))   ### Axiom
% 0.61/0.78  259. (-. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e3))))))) ((op (e2) (e2)) = (e3))   ### ConjTree 258
% 0.61/0.78  260. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4))   ### Axiom
% 0.61/0.78  261. (-. (((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4))))))) ((op (e2) (e1)) = (e4))   ### ConjTree 260
% 0.61/0.78  262. ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (e4))   ### Axiom
% 0.61/0.78  263. (-. (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4))))))) ((op (e1) (e2)) = (e4))   ### ConjTree 262
% 0.61/0.78  264. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0))   ### Axiom
% 0.61/0.78  265. (-. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0))))))) ((op (e3) (e4)) = (e0))   ### ConjTree 264
% 0.61/0.78  266. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0))   ### Axiom
% 0.61/0.78  267. (-. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e3)) = (e0))))))) ((op (e2) (e3)) = (e0))   ### ConjTree 266
% 0.61/0.78  268. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1))   ### Axiom
% 0.61/0.78  269. (-. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e3) (e4)) = (e1))))))) ((op (e3) (e2)) = (e1))   ### ConjTree 268
% 0.61/0.78  270. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1))   ### Axiom
% 0.61/0.78  271. (-. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1))))))) ((op (e4) (e3)) = (e1))   ### ConjTree 270
% 0.61/0.78  272. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2))   ### Axiom
% 0.61/0.78  273. (-. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2))))))) ((op (e3) (e1)) = (e2))   ### ConjTree 272
% 0.61/0.78  274. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2))   ### Axiom
% 0.61/0.78  275. (-. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e3)) = (e2))))))) ((op (e1) (e3)) = (e2))   ### ConjTree 274
% 0.61/0.78  276. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3))   ### Axiom
% 0.61/0.78  277. (-. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e4)) = (e3))))))) ((op (e3) (e0)) = (e3))   ### ConjTree 276
% 0.61/0.78  278. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3))   ### Axiom
% 0.61/0.78  279. (-. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e3))))))) ((op (e0) (e3)) = (e3))   ### ConjTree 278
% 0.61/0.78  280. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4))   ### Axiom
% 0.61/0.78  281. (-. (((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4))))))) ((op (e3) (e3)) = (e4))   ### ConjTree 280
% 0.61/0.78  282. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4))   ### Axiom
% 0.61/0.78  283. (-. (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4))))))) ((op (e3) (e3)) = (e4))   ### ConjTree 282
% 0.61/0.78  284. ((op (e4) (e2)) = (e0)) ((op (e4) (e2)) != (e0))   ### Axiom
% 0.61/0.78  285. (-. (((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0))))))) ((op (e4) (e2)) = (e0))   ### ConjTree 284
% 0.61/0.78  286. ((op (e3) (e4)) = (e0)) ((op (e3) (e4)) != (e0))   ### Axiom
% 0.61/0.78  287. (-. (((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ ((op (e4) (e4)) = (e0))))))) ((op (e3) (e4)) = (e0))   ### ConjTree 286
% 0.61/0.78  288. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1))   ### Axiom
% 0.61/0.78  289. (-. (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e4) (e3)) = (e1))   ### ConjTree 288
% 0.61/0.78  290. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1))   ### Axiom
% 0.61/0.78  291. (-. (((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1))))))) ((op (e2) (e4)) = (e1))   ### ConjTree 290
% 0.61/0.78  292. ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) != (e2))   ### Axiom
% 0.61/0.78  293. (-. (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e4) (e4)) = (e2))   ### ConjTree 292
% 0.61/0.78  294. ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) != (e2))   ### Axiom
% 0.61/0.78  295. (-. (((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2))))))) ((op (e4) (e4)) = (e2))   ### ConjTree 294
% 0.61/0.78  296. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3))   ### Axiom
% 0.61/0.78  297. (-. (((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))) ((op (e4) (e1)) = (e3))   ### ConjTree 296
% 0.61/0.78  298. ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (e3))   ### Axiom
% 0.61/0.78  299. (-. (((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3))))))) ((op (e1) (e4)) = (e3))   ### ConjTree 298
% 0.61/0.78  300. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (e4))   ### Axiom
% 0.61/0.78  301. (-. (((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e4) (e0)) = (e4))   ### ConjTree 300
% 0.61/0.78  302. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (e4))   ### Axiom
% 0.61/0.78  303. (-. (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))) ((op (e0) (e4)) = (e4))   ### ConjTree 302
% 0.61/0.78  304. (-. ((((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e1)) != (e0)) \/ (((op (e0) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e2)) != (e0)) \/ (((op (e0) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e3)) != (e0)) \/ (((op (e0) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e0) (e4)) != (e0)) \/ (((op (e0) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e0)) != (e0)) \/ (((op (e1) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e1)) != (e0)) \/ (((op (e1) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e2)) != (e0)) \/ (((op (e1) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e3)) != (e0)) \/ (((op (e1) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e1) (e4)) != (e0)) \/ (((op (e1) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e0)) != (e0)) \/ (((op (e2) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e1)) != (e0)) \/ (((op (e2) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e2)) != (e0)) \/ (((op (e2) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e3)) != (e0)) \/ (((op (e2) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e2) (e4)) != (e0)) \/ (((op (e2) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e0)) != (e0)) \/ (((op (e3) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e1)) != (e0)) \/ (((op (e3) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e2)) != (e0)) \/ (((op (e3) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e3)) != (e0)) \/ (((op (e3) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ ((((op (e3) (e4)) != (e0)) \/ (((op (e3) (e0)) = (e4)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e0)) != (e0)) \/ (((op (e4) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e1)) != (e0)) \/ (((op (e4) (e0)) = (e1)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e2)) != (e0)) \/ (((op (e4) (e0)) = (e2)) /\ ((e0) != (unit)))) /\ ((((op (e4) (e3)) != (e0)) \/ (((op (e4) (e0)) = (e3)) /\ ((e0) != (unit)))) /\ (((op (e4) (e4)) != (e0)) \/ (((op (e4) (e0)) = (e4)) /\ ((e0) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e1)) \/ (((op (e0) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e1)) != (e1)) \/ (((op (e0) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e2)) != (e1)) \/ (((op (e0) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e0) (e4)) != (e1)) \/ (((op (e0) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e0)) != (e1)) \/ (((op (e1) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e1)) != (e1)) \/ (((op (e1) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e2)) != (e1)) \/ (((op (e1) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e3)) != (e1)) \/ (((op (e1) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e1) (e4)) != (e1)) \/ (((op (e1) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e0)) != (e1)) \/ (((op (e2) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e1)) != (e1)) \/ (((op (e2) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e2)) != (e1)) \/ (((op (e2) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e2) (e4)) != (e1)) \/ (((op (e2) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e0)) != (e1)) \/ (((op (e3) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e1)) != (e1)) \/ (((op (e3) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e2)) != (e1)) \/ (((op (e3) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e3)) != (e1)) \/ (((op (e3) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ ((((op (e3) (e4)) != (e1)) \/ (((op (e3) (e1)) = (e4)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e0)) != (e1)) \/ (((op (e4) (e1)) = (e0)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e1)) != (e1)) \/ (((op (e4) (e1)) = (e1)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e2)) != (e1)) \/ (((op (e4) (e1)) = (e2)) /\ ((e1) != (unit)))) /\ ((((op (e4) (e3)) != (e1)) \/ (((op (e4) (e1)) = (e3)) /\ ((e1) != (unit)))) /\ (((op (e4) (e4)) != (e1)) \/ (((op (e4) 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(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 304
% 0.61/0.79  306. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) (-. 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(((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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((unit) = (e0)) (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e1)) = (e1)) /\ (((op (e0) (e2)) = (e2)) /\ (((op (e0) (e3)) = (e3)) /\ (((op (e0) (e4)) = (e4)) /\ (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e1) (e2)) = (e4)) /\ (((op (e1) (e3)) = (e2)) /\ (((op (e1) (e4)) = (e3)) /\ (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e1)) = (e4)) /\ (((op (e2) (e2)) = (e3)) /\ (((op (e2) (e3)) = (e0)) /\ (((op (e2) (e4)) = (e1)) /\ (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e1)) = (e2)) /\ (((op (e3) (e2)) = (e1)) /\ (((op (e3) (e3)) = (e4)) /\ (((op (e3) (e4)) = (e0)) /\ (((op (e4) (e0)) = (e4)) /\ (((op (e4) (e1)) = (e3)) /\ (((op (e4) (e2)) = (e0)) /\ (((op (e4) (e3)) = (e1)) /\ ((op (e4) (e4)) = (e2))))))))))))))))))))))))))   ### ConjTree 305
% 0.61/0.79  % SZS output end Proof
% 0.61/0.79  (* END-PROOF *)
%------------------------------------------------------------------------------