TSTP Solution File: ALG093+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% 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)))) /\ 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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 *)
%------------------------------------------------------------------------------