TSTP Solution File: ALG066+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG066+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 : n022.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 18:04:56 EDT 2022
% Result : Theorem 207.57s 208.08s
% Output : Proof 207.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG066+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 23:43:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 207.57/208.08 % SZS status Theorem
% 207.57/208.08 (* PROOF-FOUND *)
% 207.57/208.08 (* BEGIN-PROOF *)
% 207.57/208.08 % SZS output start Proof
% 207.57/208.08 1. ((op (e1) (e4)) = (e0)) ((op (e1) (e4)) != (e0)) ### Axiom
% 207.57/208.08 2. ((e1) = (op (e4) (e2))) ((op (e4) (e2)) != (e1)) ### Sym(=)
% 207.57/208.08 3. ((e1) = (op (e4) (e2))) ((op (e4) (e2)) != (e1)) ### Sym(=)
% 207.57/208.08 4. ((op (op (e4) (e2)) (op (e4) (e2))) != (op (e1) (e1))) ((e1) = (op (e4) (e2))) ### NotEqual 2 3
% 207.57/208.08 5. ((op (e1) (e1)) != (op (e1) (e4))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((e1) = (op (e4) (e2))) ((op (e1) (e4)) = (e0)) ### Trans-sym 1 4
% 207.57/208.08 6. ((e1) != (e1)) ### NotEqual
% 207.57/208.08 7. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 207.57/208.08 8. ((op (e1) (e0)) != (op (e1) (unit))) ((unit) = (e0)) ### NotEqual 6 7
% 207.57/208.08 9. ((op (e1) (e4)) = (e1)) ((e1) != (op (e1) (e4))) ### Sym(=)
% 207.57/208.08 10. ((op (e1) (e4)) = (e1)) ((e1) != (op (e1) (e4))) ### Sym(=)
% 207.57/208.08 11. ((op (e1) (e0)) != (op (e1) (e4))) ((op (e1) (unit)) = (e1)) ((op (e1) (e4)) = (e1)) ((unit) = (e0)) ### TransEq 8 9 10
% 207.57/208.08 12. ((op (e4) (e4)) = (e0)) ((op (e4) (e4)) != (e0)) ### Axiom
% 207.57/208.08 13. ((e4) != (e4)) ### NotEqual
% 207.57/208.08 14. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=)
% 207.57/208.08 15. ((op (e4) (e1)) != (op (e4) (unit))) ((unit) = (e1)) ### NotEqual 13 14
% 207.57/208.08 16. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=)
% 207.57/208.08 17. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=)
% 207.57/208.08 18. ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e1)) ### TransEq-sym 15 16 17
% 207.57/208.08 19. (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) ### Or 12 18
% 207.57/208.08 20. ((unit) = (e2)) ((e2) != (unit)) ### Sym(=)
% 207.57/208.08 21. ((op (e4) (e2)) != (op (e4) (unit))) ((unit) = (e2)) ### NotEqual 13 20
% 207.57/208.08 22. ((op (e0) (e2)) = (e4)) ((e4) != (op (e0) (e2))) ### Sym(=)
% 207.57/208.08 23. ((op (e0) (e2)) = (e4)) ((e4) != (op (e0) (e2))) ### Sym(=)
% 207.57/208.08 24. ((op (e0) (e2)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e0) (e2)) = (e4)) ((unit) = (e2)) ### TransEq-sym 21 22 23
% 207.57/208.08 25. ((op (e1) (e2)) = (e4)) ((e4) != (op (e1) (e2))) ### Sym(=)
% 207.57/208.08 26. ((op (e1) (e2)) = (e4)) ((e4) != (op (e1) (e2))) ### Sym(=)
% 207.57/208.08 27. ((op (e1) (e2)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e1) (e2)) = (e4)) ((unit) = (e2)) ### TransEq-sym 21 25 26
% 207.57/208.08 28. ((op (e2) (e2)) = (e4)) ((op (e2) (e2)) != (e4)) ### Axiom
% 207.57/208.08 29. ((e3) != (e3)) ### NotEqual
% 207.57/208.08 30. ((op (e2) (e4)) = (e2)) ((op (e2) (e4)) != (e2)) ### Axiom
% 207.57/208.08 31. ((e2) != (e3)) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) = (e2)) ### Trans-sym 29 30
% 207.57/208.08 32. (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e2) (e2)) = (e4)) ### Or 28 31
% 207.57/208.08 33. ((op (e3) (e2)) = (e4)) ((e4) != (op (e3) (e2))) ### Sym(=)
% 207.57/208.08 34. ((op (e3) (e2)) = (e4)) ((e4) != (op (e3) (e2))) ### Sym(=)
% 207.57/208.08 35. ((op (e3) (e2)) != (op (e4) (e2))) ((op (e4) (unit)) = (e4)) ((op (e3) (e2)) = (e4)) ((unit) = (e2)) ### TransEq-sym 21 33 34
% 207.57/208.08 36. ((op (e4) (e2)) = (e4)) ((op (e4) (e2)) != (e4)) ### Axiom
% 207.57/208.08 37. ((e1) != (e4)) ((e1) = (op (e4) (e2))) ((op (e4) (e2)) = (e4)) ### Trans 6 36
% 207.57/208.08 38. (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((unit) = (e2)) ((op (e4) (unit)) = (e4)) ((op (e0) (e2)) != (op (e4) (e2))) ### DisjTree 24 27 32 35 37
% 207.57/208.08 39. ((unit) = (e3)) ((e3) != (unit)) ### Sym(=)
% 207.57/208.08 40. ((op (e4) (e3)) != (op (e4) (unit))) ((unit) = (e3)) ### NotEqual 13 39
% 207.57/208.08 41. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3))) ### Sym(=)
% 207.57/208.08 42. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3))) ### Sym(=)
% 207.57/208.08 43. ((op (e0) (e3)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e0) (e3)) = (e4)) ((unit) = (e3)) ### TransEq-sym 40 41 42
% 207.57/208.08 44. ((op (e1) (e3)) = (e4)) ((e4) != (op (e1) (e3))) ### Sym(=)
% 207.57/208.08 45. ((op (e1) (e3)) = (e4)) ((e4) != (op (e1) (e3))) ### Sym(=)
% 207.57/208.08 46. ((op (e1) (e3)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e1) (e3)) = (e4)) ((unit) = (e3)) ### TransEq-sym 40 44 45
% 207.57/208.08 47. ((op (e2) (e3)) = (e4)) ((e4) != (op (e2) (e3))) ### Sym(=)
% 207.57/208.08 48. ((op (e2) (e3)) = (e4)) ((e4) != (op (e2) (e3))) ### Sym(=)
% 207.57/208.08 49. ((op (e2) (e3)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e2) (e3)) = (e4)) ((unit) = (e3)) ### TransEq-sym 40 47 48
% 207.57/208.08 50. ((op (e3) (e3)) = (e4)) ((op (e3) (e3)) != (e4)) ### Axiom
% 207.57/208.08 51. ((op (e3) (e4)) = (e3)) ((op (e3) (e4)) != (e3)) ### Axiom
% 207.57/208.08 52. ((op (e2) (e4)) != (op (e2) (e4))) ### Refl(=)
% 207.57/208.08 53. ((op (e2) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (e4))) ((op (e3) (e4)) = (e3)) ### Trans-sym 51 52
% 207.57/208.08 54. (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (e3)) = (e4)) ### Or 50 53
% 207.57/208.08 55. ((op (e4) (e4)) = (e0)) ((op (e4) (e4)) != (e0)) ### Axiom
% 207.57/208.08 56. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 207.57/208.08 57. ((op (e4) (e0)) != (op (e4) (unit))) ((unit) = (e0)) ### NotEqual 13 56
% 207.57/208.08 58. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 207.57/208.08 59. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 207.57/208.08 60. ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((unit) = (e0)) ### TransEq 57 58 59
% 207.57/208.08 61. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 207.57/208.08 62. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 207.57/208.08 63. ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((unit) = (e1)) ### TransEq 15 61 62
% 207.57/208.08 64. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 207.57/208.08 65. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 207.57/208.08 66. ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((unit) = (e2)) ### TransEq 21 64 65
% 207.57/208.08 67. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=)
% 207.57/208.08 68. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=)
% 207.57/208.08 69. ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e3)) ### TransEq-sym 40 67 68
% 207.57/208.08 70. ((unit) = (e4)) ((e4) != (unit)) ### Sym(=)
% 207.57/208.08 71. ((op (e4) (e4)) != (op (e4) (unit))) ((unit) = (e4)) ### NotEqual 13 70
% 207.57/208.08 72. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 207.57/208.08 73. ((op (e4) (e3)) = (e4)) ((e4) != (op (e4) (e3))) ### Sym(=)
% 207.57/208.08 74. ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((unit) = (e4)) ### TransEq-sym 71 72 73
% 207.57/208.08 75. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e0)) = (e4)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e3)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e3))) ### DisjTree 60 63 66 69 74
% 207.57/208.08 76. (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (unit)) = (e4)) ((op (e4) (e3)) = (e4)) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e4)) = (e0)) ### Or 55 75
% 207.57/208.08 77. (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e4)) = (e0)) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((unit) = (e3)) ((op (e4) (unit)) = (e4)) ((op (e0) (e3)) != (op (e4) (e3))) ### DisjTree 43 46 49 54 76
% 207.57/208.08 78. ((unit) = (e4)) ((e4) != (unit)) ### Sym(=)
% 207.57/208.08 79. ((op (e3) (e4)) != (op (e3) (unit))) ((unit) = (e4)) ### NotEqual 29 78
% 207.57/208.08 80. ((e3) = (op (e2) (e4))) ((e3) != (op (e2) (e4))) ### Axiom
% 207.57/208.08 81. ((e3) = (op (e2) (e4))) ((e3) != (op (e2) (e4))) ### Axiom
% 207.57/208.08 82. ((op (e2) (e4)) != (op (e3) (e4))) ((op (e3) (unit)) = (e3)) ((e3) = (op (e2) (e4))) ((unit) = (e4)) ### TransEq-sym 79 80 81
% 207.57/208.08 83. ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e1) (e4)) = (e1)) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e4))) ### DisjTree 11 19 38 77 82
% 207.57/208.08 84. ((op (e4) (e4)) = (e1)) ((op (e4) (e4)) != (e1)) ### Axiom
% 207.57/208.08 85. ((op (e4) (e2)) != (op (e4) (e2))) ### Refl(=)
% 207.57/208.08 86. ((op (e4) (e2)) != (op (e4) (e4))) ((e1) = (op (e4) (e2))) ((op (e4) (e4)) = (e1)) ### Trans-sym 84 85
% 207.57/208.08 87. ((op (e4) (e4)) = (e2)) ((op (e4) (e4)) != (e2)) ### Axiom
% 207.57/208.08 88. (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e4) (e4)) = (e2)) ### Or 87 37
% 207.57/208.08 89. ((op (e4) (e4)) = (e3)) ((op (e4) (e4)) != (e3)) ### Axiom
% 207.57/208.08 90. ((op (e2) (e4)) != (op (e2) (e4))) ### Refl(=)
% 207.57/208.08 91. ((op (e2) (e4)) != (op (e4) (e4))) ((e3) = (op (e2) (e4))) ((op (e4) (e4)) = (e3)) ### Trans-sym 89 90
% 207.57/208.08 92. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=)
% 207.57/208.08 93. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=)
% 207.57/208.08 94. ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e4)) = (e4)) ((unit) = (e0)) ### TransEq 57 92 93
% 207.57/208.08 95. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=)
% 207.57/208.08 96. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=)
% 207.57/208.08 97. ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e4)) = (e4)) ((unit) = (e1)) ### TransEq 15 95 96
% 207.57/208.08 98. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=)
% 207.57/208.08 99. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=)
% 207.57/208.08 100. ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e4)) = (e4)) ((unit) = (e2)) ### TransEq 21 98 99
% 207.57/208.08 101. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=)
% 207.57/208.08 102. ((op (e4) (e4)) = (e4)) ((e4) != (op (e4) (e4))) ### Sym(=)
% 207.57/208.08 103. ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e4)) = (e4)) ((unit) = (e3)) ### TransEq 40 101 102
% 207.57/208.08 104. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((e3) = (op (e2) (e4))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 94 97 100 103 82
% 207.57/208.08 105. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e1) (e0)) != (op (e1) (e4))) ((op (e1) (unit)) = (e1)) ((op (e1) (e4)) = (e1)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ### DisjTree 83 86 88 91 104
% 207.57/208.08 106. ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (e0)) ### Axiom
% 207.57/208.08 107. ((op (e1) (e1)) != (op (e2) (e1))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((e1) = (op (e4) (e2))) ((op (e2) (e1)) = (e0)) ### Trans-sym 106 4
% 207.57/208.08 108. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 207.57/208.08 109. ((op (e0) (e1)) != (op (unit) (e1))) ((unit) = (e0)) ### NotEqual 108 6
% 207.57/208.08 110. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=)
% 207.57/208.08 111. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=)
% 207.57/208.08 112. ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ((unit) = (e0)) ### TransEq 109 110 111
% 207.57/208.08 113. ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e2) (e1)) = (e1)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ### DisjTree 112 19 38 77 82
% 207.57/208.08 114. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ### DisjTree 113 86 88 91 104
% 207.57/208.08 115. ((e2) != (e2)) ### NotEqual
% 207.57/208.08 116. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 207.57/208.08 117. ((op (e2) (e0)) != (op (e2) (unit))) ((unit) = (e0)) ### NotEqual 115 116
% 207.57/208.08 118. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=)
% 207.57/208.08 119. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=)
% 207.57/208.08 120. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) = (e2)) ((unit) = (e0)) ### TransEq 117 118 119
% 207.57/208.08 121. ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e2) (e1)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 120 19 38 77 82
% 207.57/208.08 122. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) = (e2)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ### DisjTree 121 86 88 91 104
% 207.57/208.08 123. ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (e3)) ### Axiom
% 207.57/208.08 124. ((op (e2) (e4)) != (op (e2) (e4))) ### Refl(=)
% 207.57/208.08 125. ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (e4))) ((op (e2) (e1)) = (e3)) ### Trans 123 124
% 207.57/208.08 126. ((op (e0) (e0)) = (e4)) ((e4) != (op (e0) (e0))) ### Sym(=)
% 207.57/208.08 127. ((op (e0) (e0)) = (e4)) ((e4) != (op (e0) (e0))) ### Sym(=)
% 207.57/208.08 128. ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) = (e4)) ((unit) = (e0)) ### TransEq-sym 57 126 127
% 207.57/208.08 129. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 207.57/208.08 130. ((op (e0) (e4)) != (op (unit) (e4))) ((unit) = (e0)) ### NotEqual 129 13
% 207.57/208.08 131. ((op (e0) (e1)) = (e4)) ((e4) != (op (e0) (e1))) ### Sym(=)
% 207.57/208.08 132. ((op (e0) (e1)) = (e4)) ((e4) != (op (e0) (e1))) ### Sym(=)
% 207.57/208.08 133. ((op (e0) (e1)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) = (e4)) ((unit) = (e0)) ### TransEq-sym 130 131 132
% 207.57/208.08 134. ((op (e0) (e2)) = (e4)) ((e4) != (op (e0) (e2))) ### Sym(=)
% 207.57/208.08 135. ((op (e0) (e2)) = (e4)) ((e4) != (op (e0) (e2))) ### Sym(=)
% 207.57/208.08 136. ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) = (e4)) ((unit) = (e0)) ### TransEq-sym 130 134 135
% 207.57/208.08 137. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3))) ### Sym(=)
% 207.57/208.08 138. ((op (e0) (e3)) = (e4)) ((e4) != (op (e0) (e3))) ### Sym(=)
% 207.57/208.08 139. ((op (e0) (e3)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e3)) = (e4)) ((unit) = (e0)) ### TransEq-sym 130 137 138
% 207.57/208.08 140. ((op (e1) (e0)) = (e4)) ((e4) != (op (e1) (e0))) ### Sym(=)
% 207.57/208.08 141. ((op (e1) (e0)) = (e4)) ((e4) != (op (e1) (e0))) ### Sym(=)
% 207.57/208.08 142. ((op (e1) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e0)) = (e4)) ((unit) = (e0)) ### TransEq-sym 57 140 141
% 207.57/208.08 143. ((op (e2) (e0)) = (e4)) ((e4) != (op (e2) (e0))) ### Sym(=)
% 207.57/208.08 144. ((op (e2) (e0)) = (e4)) ((e4) != (op (e2) (e0))) ### Sym(=)
% 207.57/208.08 145. ((op (e2) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e2) (e0)) = (e4)) ((unit) = (e0)) ### TransEq-sym 57 143 144
% 207.57/208.08 146. ((op (e3) (e0)) = (e4)) ((e4) != (op (e3) (e0))) ### Sym(=)
% 207.57/208.08 147. ((op (e3) (e0)) = (e4)) ((e4) != (op (e3) (e0))) ### Sym(=)
% 207.57/208.08 148. ((op (e3) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e3) (e0)) = (e4)) ((unit) = (e0)) ### TransEq-sym 57 146 147
% 207.57/208.08 149. ((op (e1) (e1)) = (e4)) ((op (e1) (e1)) != (e4)) ### Axiom
% 207.57/208.08 150. (((op (e1) (e1)) != (e4)) \/ ((op (e1) (e4)) = (e1))) ((unit) = (e0)) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e4))) ((op (e1) (e1)) = (e4)) ### Or 149 11
% 207.57/208.08 151. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 207.57/208.08 152. ((op (e0) (e3)) != (op (unit) (e3))) ((unit) = (e0)) ### NotEqual 151 29
% 207.57/208.08 153. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=)
% 207.57/208.08 154. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=)
% 207.57/208.08 155. ((op (e0) (e1)) != (op (e0) (e3))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) = (e3)) ((unit) = (e0)) ### TransEq-sym 152 153 154
% 207.57/208.08 156. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom
% 207.57/208.08 157. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=)
% 207.57/208.08 158. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=)
% 207.57/208.08 159. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) ((op (e1) (e3)) = (e1)) ((unit) = (e0)) ### TransEq 8 157 158
% 207.57/208.08 160. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((unit) = (e0)) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ### Or 156 159
% 207.57/208.08 161. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=)
% 207.57/208.08 162. ((op (e4) (e0)) = (e4)) ((e4) != (op (e4) (e0))) ### Sym(=)
% 207.57/208.08 163. ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) = (e4)) ((unit) = (e4)) ### TransEq-sym 71 161 162
% 207.57/208.08 164. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### DisjTree 160 19 38 77 163
% 207.57/208.08 165. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 207.57/208.08 166. ((op (e3) (e0)) != (op (e3) (unit))) ((unit) = (e0)) ### NotEqual 29 165
% 207.57/208.08 167. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=)
% 207.57/208.08 168. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=)
% 207.57/208.08 169. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (unit)) = (e3)) ((op (e3) (e1)) = (e3)) ((unit) = (e0)) ### TransEq 166 167 168
% 207.57/208.08 170. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 207.57/208.08 171. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 207.57/208.08 172. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (unit)) = (e2)) ((op (e3) (e0)) = (e2)) ((unit) = (e0)) ### TransEq 117 170 171
% 207.57/208.08 173. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (e0)) ### Axiom
% 207.57/208.08 174. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 207.57/208.08 175. (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit))) ((unit) = (e0)) ### And 174
% 207.57/208.08 176. (((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### Or 173 175
% 207.57/208.08 177. ((((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)) = (e0)) ((unit) = (e0)) ### ConjTree 176
% 207.57/208.08 178. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom
% 207.57/208.08 179. ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e0) (e1)) = (e3)) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 155 19 38 77 82
% 207.57/208.08 180. (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (unit) (e3)) = (e3)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ### And 179
% 207.57/208.08 181. (((op (e0) (e3)) != (e1)) \/ (((op (e0) (e1)) = (e3)) /\ ((e1) != (unit)))) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ### Or 178 180
% 207.57/208.08 182. ((((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 (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (unit) (e3)) = (e3)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ### ConjTree 181
% 207.57/208.08 183. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2)) ### Axiom
% 207.57/208.08 184. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 207.57/208.08 185. ((op (e4) (e2)) != (op (e4) (e2))) ### Refl(=)
% 207.57/208.08 186. ((op (e3) (e2)) != (op (e4) (e2))) ((e1) = (op (e4) (e2))) ((op (e3) (e2)) = (e1)) ### Trans 184 185
% 207.57/208.08 187. (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit))) ((e1) = (op (e4) (e2))) ((op (e3) (e2)) != (op (e4) (e2))) ### And 186
% 207.57/208.08 188. (((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) = (op (e4) (e2))) ((op (e3) (e1)) = (e2)) ### Or 183 187
% 207.57/208.08 189. ((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) ((op (e3) (e1)) = (e2)) ((e1) = (op (e4) (e2))) ((op (e3) (e2)) != (op (e4) (e2))) ### ConjTree 188
% 207.57/208.08 190. ((op (e4) (e1)) = (e3)) ((op (e4) (e1)) != (e3)) ### Axiom
% 207.57/208.08 191. ((op (e4) (e3)) = (e1)) ((op (e4) (e3)) != (e1)) ### Axiom
% 207.57/208.08 192. ((op (e4) (e2)) != (op (e4) (e2))) ### Refl(=)
% 207.57/208.08 193. ((op (e4) (e2)) != (op (e4) (e3))) ((e1) = (op (e4) (e2))) ((op (e4) (e3)) = (e1)) ### Trans-sym 191 192
% 207.57/208.08 194. (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit))) ((e1) = (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e3))) ### And 193
% 207.57/208.08 195. (((op (e4) (e1)) != (e3)) \/ (((op (e4) (e3)) = (e1)) /\ ((e3) != (unit)))) ((op (e4) (e2)) != (op (e4) (e3))) ((e1) = (op (e4) (e2))) ((op (e4) (e1)) = (e3)) ### Or 190 194
% 207.57/208.08 196. ((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) ((op (e4) (e1)) = (e3)) ((e1) = (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e3))) ### ConjTree 195
% 207.57/208.08 197. ((op (e2) (e1)) = (e4)) ((op (e2) (e1)) != (e4)) ### Axiom
% 207.57/208.08 198. ((op (e2) (e4)) = (e1)) ((op (e2) (e4)) != (e1)) ### Axiom
% 207.57/208.08 199. ((e1) != (e3)) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) = (e1)) ### Trans-sym 29 198
% 207.57/208.08 200. (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit))) ((e3) = (op (e2) (e4))) ((e1) != (e3)) ### And 199
% 207.57/208.08 201. (((op (e2) (e1)) != (e4)) \/ (((op (e2) (e4)) = (e1)) /\ ((e4) != (unit)))) ((e1) != (e3)) ((e3) = (op (e2) (e4))) ((op (e2) (e1)) = (e4)) ### Or 197 200
% 207.57/208.08 202. ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))) ((op (e2) (e1)) = (e4)) ((e3) = (op (e2) (e4))) ((e1) != (e3)) ### ConjTree 201
% 207.57/208.08 203. (((((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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/\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e4) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 177 182 189 196 202
% 207.57/208.08 204. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 207.57/208.08 205. ((op (e0) (e2)) != (op (unit) (e2))) ((unit) = (e0)) ### NotEqual 204 115
% 207.57/208.08 206. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=)
% 207.57/208.08 207. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=)
% 207.57/208.08 208. ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ((unit) = (e0)) ### TransEq 205 206 207
% 207.57/208.08 209. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=)
% 207.57/208.08 210. ((op (e0) (e4)) = (e4)) ((e4) != (op (e0) (e4))) ### Sym(=)
% 207.57/208.08 211. ((op (e0) (e4)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e0) (e4)) = (e4)) ((unit) = (e4)) ### TransEq-sym 71 209 210
% 207.57/208.08 212. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e3) (e2)) = (e2)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 208 19 27 77 211
% 207.57/208.08 213. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e3) (unit)) = (e3)) ((op (e2) (e4)) != (op (e4) (e4))) ((e1) != (e4)) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((e1) = (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) = (e4)) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) ### DisjTree 212 86 88 91 104
% 207.57/208.08 214. ((op (e3) (e3)) = (e2)) ((op (e3) (e3)) != (e2)) ### Axiom
% 207.57/208.08 215. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=)
% 207.57/208.08 216. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=)
% 207.57/208.08 217. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e3) (e2)) = (e3)) ((unit) = (e0)) ### TransEq 166 215 216
% 207.57/208.08 218. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((unit) = (e0)) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) ### Or 214 217
% 207.57/208.08 219. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### DisjTree 218 19 27 77 211
% 207.57/208.08 220. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 94 97 100 103 211
% 207.57/208.08 221. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((e1) != (e4)) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((e1) = (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) = (e4)) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) ### DisjTree 219 86 88 91 220
% 207.57/208.08 222. ((op (e3) (e4)) = (e2)) ((op (e3) (e4)) != (e2)) ### Axiom
% 207.57/208.08 223. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 207.57/208.08 224. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 207.57/208.08 225. ((op (e3) (e2)) = (e4)) ((e4) != (op (e3) (e2))) ### Sym(=)
% 207.57/208.08 226. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e4)) ((op (e3) (e2)) = (e4)) ### TransEq 223 224 225
% 207.57/208.08 227. (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit))) ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (op (e3) (e2))) ### And 226
% 207.57/208.08 228. (((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e4)) ((op (e3) (e4)) = (e2)) ### Or 222 227
% 207.57/208.08 229. ((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) ((op (e3) (e4)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (op (e3) (e2))) ### ConjTree 228
% 207.57/208.08 230. 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(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) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) 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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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e4) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e4)) ((op (e3) (e4)) = (e2)) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 177 182 229 196 202
% 207.57/208.08 231. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e2)) = (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (unit) (e3)) = (e3)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ((op (e4) (e1)) = (e3)) ((op (e2) (e1)) = (e4)) ((e1) != (e3)) (((((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) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((unit) = (e0)) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 172 203 213 221 230
% 207.57/208.08 232. ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (e1)) ### Axiom
% 207.57/208.08 233. (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit))) ((e3) = (op (e2) (e4))) ((op (e2) (e1)) != (op (e2) (e4))) ### And 125
% 207.57/208.08 234. (((op (e2) (e3)) != (e1)) \/ (((op (e2) (e1)) = (e3)) /\ ((e1) != (unit)))) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (e4))) ((op (e2) (e3)) = (e1)) ### Or 232 233
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% 207.57/208.08 236. 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(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) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) = (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) = (op (e4) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (e4))) ((op (e2) (e3)) = (e1)) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 177 235 189 196 202
% 207.67/208.08 237. 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(e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e4) (e2)) != (op (e4) (e3))) ((e1) = (op (e4) (e2))) ((op (e4) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e4)) ((op (e3) (e4)) = (e2)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (e4))) ((op (e2) (e3)) = (e1)) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 177 235 229 196 202
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(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 (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op 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/\ ((((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((unit) = (e0)) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 172 236 208 218 237
% 207.67/208.09 239. ((op (e3) (e3)) = (e1)) ((op (e3) (e3)) != (e1)) ### Axiom
% 207.67/208.09 240. (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((unit) = (e0)) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) ### Or 239 169
% 207.67/208.09 241. 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/\ ((((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) 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(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 (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) 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/\ ((((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e4) (e1)) = (e3)) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) ### DisjTree 231 159 238 240 193
% 207.67/208.09 242. 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(e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e4))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op 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% 207.67/208.09 243. 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(e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e0) (e0)) = (e0)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e0)) != (op (e4) (e0))) ((unit) = (e0)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 128 142 145 148 242
% 207.67/208.09 244. ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e2) (e1)) = (e1)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ### DisjTree 112 19 27 77 82
% 207.67/208.09 245. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) ((op (e2) (e4)) != (op (e4) (e4))) ((e1) != (e4)) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((e1) = (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) = (e4)) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ### DisjTree 244 86 88 91 220
% 207.67/208.09 246. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e2) (e1)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 120 19 38 77 211
% 207.67/208.09 247. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) = (e2)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) ### DisjTree 246 86 88 91 220
% 207.67/208.09 248. ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e1) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e4) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e1) (e2)) = (e4)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) = (e4)) ((e1) != (e3)) (((((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) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e4))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) ### DisjTree 243 19 38 77 211
% 207.67/208.09 249. (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (unit) (e3)) = (e3)) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (unit)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (unit)) = (e2)) (((((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) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e0) (e0)) = (e0)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 248 86 88 91 220
% 207.67/208.09 250. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e1) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e4) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e0)) ((e1) != (e3)) (((((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) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e1) (e2)) = (e4)) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((e1) != (e4)) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 107 245 247 125 249
% 207.67/208.09 251. ((op (e4) (e0)) = (e4)) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### DisjTree 160 19 35 77 163
% 207.67/208.09 252. ((op (e1) (e3)) = (e4)) ((op (e1) (e3)) != (e4)) ### Axiom
% 207.67/208.09 253. ((op (e1) (e4)) = (e3)) ((op (e1) (e4)) != (e3)) ### Axiom
% 207.67/208.09 254. ((op (e2) (e4)) != (op (e2) (e4))) ### Refl(=)
% 207.67/208.09 255. ((op (e1) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (e4))) ((op (e1) (e4)) = (e3)) ### Trans 253 254
% 207.67/208.09 256. (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit))) ((e3) = (op (e2) (e4))) ((op (e1) (e4)) != (op (e2) (e4))) ### And 255
% 207.67/208.09 257. (((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) ((op (e1) (e4)) != (op (e2) (e4))) ((e3) = (op (e2) (e4))) ((op (e1) (e3)) = (e4)) ### Or 252 256
% 207.67/208.09 258. ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))) ((op (e1) (e3)) = (e4)) ((e3) = (op (e2) (e4))) ((op (e1) (e4)) != (op (e2) (e4))) ### ConjTree 257
% 207.67/208.09 259. 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(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) != 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(e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) 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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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e3)) = (e4)) ((op (e4) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 177 182 189 196 258
% 207.67/208.10 260. ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e3) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### DisjTree 218 19 35 77 82
% 207.67/208.10 261. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((e1) != (e4)) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((e1) = (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e3) (e2)) != (op (e4) (e2))) ((op (e3) (e2)) = (e4)) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ### DisjTree 260 86 88 91 104
% 207.67/208.10 262. ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (e2)) ### Axiom
% 207.67/208.10 263. (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit))) ((op (e3) (e4)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) ### And 228
% 207.67/208.10 264. (((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) (((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e4)) = (e2)) ((op (e1) (e4)) = (e2)) ### Or 262 263
% 207.67/208.10 265. ((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) ((op (e1) (e4)) = (e2)) ((op (e3) (e4)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ### ConjTree 264
% 207.67/208.10 266. 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(e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e3)) = (e4)) ((op (e4) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e4)) = (e2)) ((op (e1) (e4)) = (e2)) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 177 182 265 196 258
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(e4)) = (e3)) /\ ((e4) != (unit)))) /\ (((op (e4) (e4)) != (e4)) \/ (((op (e4) (e4)) = (e4)) /\ ((e4) != (unit)))))))))))))))))))))))))))))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e3)) = (e4)) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) = (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) = (op (e4) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (e4))) ((op (e2) (e3)) = (e1)) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 177 235 189 196 258
% 207.67/208.10 269. 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/\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e4) (e2)) != (op (e4) (e3))) ((e1) = (op (e4) (e2))) ((op (e4) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e4)) = (e2)) ((op (e1) (e4)) = (e2)) ((op (e2) (e1)) != (op (e2) (e4))) ((e3) = (op (e2) (e4))) ((op (e2) (e3)) = (e1)) ((unit) = (e0)) ((op (e0) (e0)) = (e0)) ### DisjTree 177 235 265 196 202
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((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) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((unit) = (e0)) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 172 268 208 218 269
% 207.67/208.10 271. ((op (e0) (e1)) = (e4)) ((e4) != (op (e0) (e1))) ### Sym(=)
% 207.67/208.10 272. ((op (e0) (e1)) = (e4)) ((e4) != (op (e0) (e1))) ### Sym(=)
% 207.67/208.10 273. ((op (e0) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) = (e4)) ((unit) = (e1)) ### TransEq-sym 15 271 272
% 207.67/208.10 274. ((op (e1) (e1)) = (e4)) ((e4) != (op (e1) (e1))) ### Sym(=)
% 207.67/208.10 275. ((op (e1) (e1)) = (e4)) ((e4) != (op (e1) (e1))) ### Sym(=)
% 207.67/208.10 276. ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) = (e4)) ((unit) = (e1)) ### TransEq-sym 15 274 275
% 207.67/208.10 277. ((op (e2) (e1)) = (e4)) ((e4) != (op (e2) (e1))) ### Sym(=)
% 207.67/208.10 278. ((op (e2) (e1)) = (e4)) ((e4) != (op (e2) (e1))) ### Sym(=)
% 207.67/208.10 279. ((op (e2) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e2) (e1)) = (e4)) ((unit) = (e1)) ### TransEq-sym 15 277 278
% 207.67/208.10 280. ((op (e3) (e1)) = (e4)) ((e4) != (op (e3) (e1))) ### Sym(=)
% 207.67/208.10 281. ((op (e3) (e1)) = (e4)) ((e4) != (op (e3) (e1))) ### Sym(=)
% 207.67/208.10 282. ((op (e3) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e3) (e1)) = (e4)) ((unit) = (e1)) ### TransEq-sym 15 280 281
% 207.67/208.10 283. ((op (e4) (e4)) = (e0)) ((op (e4) (e4)) != (e0)) ### Axiom
% 207.67/208.10 284. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=)
% 207.67/208.10 285. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=)
% 207.67/208.10 286. ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e4) (e1)) = (e4)) ((unit) = (e0)) ### TransEq 57 284 285
% 207.67/208.10 287. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=)
% 207.67/208.10 288. ((op (e4) (e1)) = (e4)) ((e4) != (op (e4) (e1))) ### Sym(=)
% 207.67/208.10 289. ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e1)) = (e4)) ((unit) = (e4)) ### TransEq-sym 71 287 288
% 207.67/208.10 290. ((op (e4) (e1)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e4)) = (e0)) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) = (e4)) ((op (e4) (e1)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) ### DisjTree 286 18 35 77 289
% 207.67/208.10 291. ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e4) (e1)) = (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((op (e3) (e2)) = (e4)) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e4)) = (e0)) ### Or 283 290
% 207.67/208.10 292. (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((unit) = (e1)) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ### DisjTree 273 276 279 282 291
% 207.67/208.10 293. ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e3) (e2)) != (op (e4) (e2))) ((op (e3) (e2)) = (e4)) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e2) (e4)) != (op (e3) (e4))) ((e3) = (op (e2) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e4)) = (e0)) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (unit)) = (e3)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ### DisjTree 240 292 35 77 211
% 207.67/208.10 294. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((e1) != (e4)) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((e1) = (op (e4) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) = (e1)) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((e3) = (op (e2) (e4))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e3) (e2)) = (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) ### DisjTree 293 86 88 91 220
% 207.67/208.10 295. 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/\ ((((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)))))))))))))))))))))))))))))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e3)) = (e4)) ((op (e4) (e1)) = (e3)) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e4)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e4)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) ### DisjTree 267 159 270 294 193
% 207.67/208.10 296. 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\/ (((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 (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e0)) != (op (e4) (e0))) ((op (e0) (e0)) != (op (e4) (e0))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((unit) = (e0)) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4))) ### DisjTree 136 250 32 296 37
% 207.67/208.11 298. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=)
% 207.67/208.11 299. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=)
% 207.67/208.11 300. ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) = (e4)) ((unit) = (e0)) ### TransEq 130 298 299
% 207.67/208.11 301. (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e4) (e0)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e4) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) = (e4)) ((e1) != (e3)) (((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) != (unit)))) /\ ((((op (e0) 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((((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) 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DisjTree 142 150 243 297 300
% 207.67/208.11 302. 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((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e0) (e0)) = (e0)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e4)) = (e4)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (e0)) = (e4)) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e3) (e1)) != (op (e4) (e1))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e4)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ### DisjTree 301 19 38 77 163
% 207.67/208.11 303. (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e4)) = (e2)) ((op (e1) (e4)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e4)) = (e4)) ((op (e0) (e4)) != (op (e4) (e4))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) = (e4)) ((e1) != (e3)) (((((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)) \/ 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(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 (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ 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/\ ((((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)))))))))))))))))))))))))))))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e4))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (e4)) = (e0)) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) ((op (e1) (e0)) != (op (e1) (e4))) ((op (e1) (unit)) = (e1)) (((op (e1) (e1)) != (e4)) \/ ((op (e1) (e4)) = (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e0)) != (op (e4) (e0))) ((unit) = (e0)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 128 142 145 148 302
% 207.67/208.11 304. (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e1) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e4) (e0))) (((op (e1) (e1)) != (e4)) \/ ((op (e1) (e4)) = (e1))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e4))) (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (unit) (e3)) = (e3)) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (unit)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) (((op (e3) (e3)) 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(unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e2) (e1)) = (e4)) ((op (e0) (e0)) = (e0)) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e0) (e4)) != (op (e4) (e4))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e3) (e1)) != (op (e4) (e1))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e1) (e4)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e0) (e4)) != (op (e1) (e4))) (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) != (op (e0) (e4))) ((unit) = (e0)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 128 133 136 139 303
% 207.70/208.11 305. 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(e0))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ### DisjTree 304 19 38 77 82
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(e4)) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 305 86 88 91 104
% 207.70/208.11 307. 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!= (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 (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) ((op (e1) (e0)) != (op (e1) (e4))) ((op (e1) (unit)) = (e1)) (((op (e1) (e1)) != (e4)) \/ ((op (e1) (e4)) = (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e0)) != (op (e4) (e0))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 107 114 122 125 306
% 207.70/208.12 308. ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e1) (e4)) = (e4)) ((op (unit) (e4)) = (e4)) ((op (e0) (e4)) != (op (e1) (e4))) ### DisjTree 300 19 38 77 82
% 207.70/208.12 309. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=)
% 207.70/208.12 310. ((op (e1) (e4)) = (e4)) ((e4) != (op (e1) (e4))) ### Sym(=)
% 207.70/208.12 311. ((op (e1) (e4)) != (op (e4) (e4))) ((op (e4) (unit)) = (e4)) ((op (e1) (e4)) = (e4)) ((unit) = (e4)) ### TransEq-sym 71 309 310
% 207.70/208.12 312. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e1) (e4)) = (e4)) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e4)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e4))) ### DisjTree 94 97 100 103 311
% 207.70/208.12 313. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (unit) (e4)) = (e4)) ((op (e1) (e4)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ### DisjTree 308 86 88 91 312
% 207.70/208.12 314. (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e1) (e4)) != (op (e4) (e4))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e4))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e1) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e3) (e0)) != (op (e4) (e0))) (((op (e1) (e1)) != (e4)) \/ ((op (e1) (e4)) = (e1))) (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (unit) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((((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) 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\/ (((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 (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ 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((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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)) 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/\ ((((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e0) (e4)) != (op (e4) (e4))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e3) (e1)) != (op (e4) (e1))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e1) (e4)) != (op (e2) (e4))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e0) (e4)) != (op (e1) (e4))) (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e1) (e1)) != (op (e1) (e4))) ### DisjTree 5 105 307 255 313
% 207.70/208.12 315. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom
% 207.70/208.12 316. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom
% 207.70/208.12 317. ((op (e0) (e1)) != (op (e1) (e1))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((e1) = (op (e4) (e2))) ((op (e0) (e1)) = (e0)) ### Trans 316 4
% 207.70/208.12 318. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((e1) = (op (e4) (e2))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e1)) ### Or 315 317
% 207.70/208.12 319. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 207.70/208.12 320. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 207.70/208.12 321. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) = (e2)) ((unit) = (e0)) ### TransEq-sym 117 319 320
% 207.70/208.12 322. ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e0) (e0)) = (e2)) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 321 19 38 77 82
% 207.70/208.12 323. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (unit)) = (e2)) ((op (e0) (e0)) = (e2)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ### DisjTree 322 86 88 91 104
% 207.70/208.12 324. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 207.70/208.12 325. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 207.70/208.12 326. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((op (e0) (e0)) = (e3)) ((unit) = (e0)) ### TransEq-sym 166 324 325
% 207.70/208.12 327. ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e0) (e0)) = (e3)) ((op (e3) (unit)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 326 19 38 77 82
% 207.70/208.12 328. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((op (e0) (e0)) = (e3)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ### DisjTree 327 86 88 91 104
% 207.70/208.12 329. ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((e1) = (op (e4) (e2))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e4)) = (e0)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e0) (e0)) = (e4)) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) != (op (e4) (e0))) ### DisjTree 128 19 38 77 82
% 207.70/208.12 330. (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e4) (unit)) = (e4)) ((op (e0) (e0)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) = (op (e4) (e2))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ### DisjTree 329 86 88 91 104
% 207.70/208.12 331. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ ((op (e0) (e0)) = (e4)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) != (op (e1) (e4))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((e1) = (op (e4) (e2))) (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e2) (e4)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e4) (e2)) != (op (e4) (e4))) ((op (e1) (e0)) != (op (e1) (e4))) ((op (e1) (unit)) = (e1)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e4) (unit)) = (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e3) (unit)) = (e3)) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e4)) != (op (e1) (e4))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) ((op (e1) (e4)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((((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) (e1)) = (e4)) /\ ((e1) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e2)) \/ (((op (e0) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e1)) != (e2)) \/ (((op (e0) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e2)) != (e2)) \/ (((op (e0) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e3)) != (e2)) \/ (((op (e0) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e0) (e4)) != (e2)) \/ (((op (e0) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e0)) != (e2)) \/ (((op (e1) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e1)) != (e2)) \/ (((op (e1) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e2)) != (e2)) \/ (((op (e1) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e3)) != (e2)) \/ (((op (e1) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e1) (e4)) != (e2)) \/ (((op (e1) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e0)) != (e2)) \/ (((op (e2) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e1)) != (e2)) \/ (((op (e2) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e2)) != (e2)) \/ (((op (e2) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e3)) != (e2)) \/ (((op (e2) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e2) (e4)) != (e2)) \/ (((op (e2) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e0)) != (e2)) \/ (((op (e3) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e1)) != (e2)) \/ (((op (e3) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e2)) != (e2)) \/ (((op (e3) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e3)) != (e2)) \/ (((op (e3) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ ((((op (e3) (e4)) != (e2)) \/ (((op (e3) (e2)) = (e4)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e0)) != (e2)) \/ (((op (e4) (e2)) = (e0)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e1)) != (e2)) \/ (((op (e4) (e2)) = (e1)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e2)) != (e2)) \/ (((op (e4) (e2)) = (e2)) /\ ((e2) != (unit)))) /\ ((((op (e4) (e3)) != (e2)) \/ (((op (e4) (e2)) = (e3)) /\ ((e2) != (unit)))) /\ (((op (e4) (e4)) != (e2)) \/ (((op (e4) (e2)) = (e4)) /\ ((e2) != (unit)))))))))))))))))))))))))))) \/ (((((op (e0) (e0)) != (e3)) \/ (((op (e0) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e1)) != (e3)) \/ (((op (e0) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e2)) != (e3)) \/ (((op (e0) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e3)) != (e3)) \/ (((op (e0) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e0) (e4)) != (e3)) \/ (((op (e0) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e0)) != (e3)) \/ (((op (e1) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e1)) != (e3)) \/ (((op (e1) (e3)) = (e1)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e2)) != (e3)) \/ (((op (e1) (e3)) = (e2)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e3)) != (e3)) \/ (((op (e1) (e3)) = (e3)) /\ ((e3) != (unit)))) /\ ((((op (e1) (e4)) != (e3)) \/ (((op (e1) (e3)) = (e4)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e0)) != (e3)) \/ (((op (e2) (e3)) = (e0)) /\ ((e3) != (unit)))) /\ ((((op (e2) (e1)) != (e3)) \/ (((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) (((op (e1) (e1)) != (e4)) \/ ((op (e1) (e4)) = (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e0)) != (op (e4) (e0))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e4)) != (op (e4) (e4))) (((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) ### DisjTree 314 318 323 328 330
% 207.70/208.12 332. 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((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)))))))))))))))))))))))))))))))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e0) (e4)) != (op (e4) (e4))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) ((op (e0) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e3) (e1)) != (op (e4) (e1))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e1) (e4)) != (op (e2) (e4))) ((op (e0) (e4)) != (op (e1) (e4))) (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (unit) (e4)) = (e4)) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e3) (unit)) = (e3)) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) (((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((op (e4) (e0)) != (op (e4) (e1))) ((op (e4) (unit)) = (e4)) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) ((e1) = (op (e4) (e2))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e1) (e1)) != (op (e1) (e4))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 331
% 207.70/208.12 333. 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(e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) ((e1) != (e4)) ((op (e3) (e2)) != (op (e4) (e2))) ((e2) != (e3)) ((e3) = (op (e2) (e4))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((op (e1) (e2)) != (op (e4) (e2))) ((op (e0) (e2)) != (op (e4) (e2))) (((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e2) (e4)) != (op (e3) (e4))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) (((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) ((op (e0) (e4)) != (op (e1) (e4))) ((op (e1) (e4)) != (op (e2) (e4))) (((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) ((op (e3) (e1)) != (op (e4) (e1))) ((op (e2) (e1)) != (op (e4) (e1))) ((op (e1) (e1)) != (op (e4) (e1))) ((op (e0) (e1)) != (op (e4) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ((op (e0) (e4)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((((op (e0) (e0)) != (e0)) \/ (((op (e0) (e0)) = (e0)) /\ ((e0) 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((((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) != (unit)))) /\ (((op (e4) (e4)) != (e3)) \/ (((op (e4) (e3)) = (e4)) /\ ((e3) != (unit)))))))))))))))))))))))))))) \/ ((((op (e0) (e0)) != (e4)) \/ (((op (e0) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e1)) != (e4)) \/ (((op (e0) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e2)) != (e4)) \/ (((op (e0) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e3)) != (e4)) \/ (((op (e0) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e0) (e4)) != (e4)) \/ (((op (e0) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e0)) != (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)))))))))))))))))))))))))))))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) (((op (e1) (e1)) != (e4)) \/ ((op (e1) (e4)) = (e1))) ((op (e3) (e0)) != (op (e4) (e0))) ((op (e2) (e0)) != (op (e4) (e0))) ((op (e1) (e0)) != (op (e4) (e0))) (((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) ((op (e2) (e1)) != (op (e2) (e4))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e4)) != (op (e4) (e4))) ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e0)) = (e3)) \/ ((op (e0) (e0)) = (e4)))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e1)) = (e3)) \/ ((op (e0) (e1)) = (e4)))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e2)) = (e4)))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e3)) = (e4)))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e0) (e4)) = (e1)) \/ (((op (e0) (e4)) = (e2)) \/ (((op (e0) (e4)) = (e3)) \/ ((op (e0) (e4)) = (e4)))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e3)) \/ ((op (e1) (e0)) = (e4)))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4)))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e2)) = (e4)))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e3)) = (e4)))))) /\ ((((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e2) (e0)) = (e4)))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4)))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e3)) = (e4)))))) /\ ((((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e4)))))) /\ ((((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4)))))) /\ ((((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e4)))))) /\ ((((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e4)))))) /\ ((((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e3) (e4)) = (e4)))))) /\ ((((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) /\ ((((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) /\ (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))))))))))))))))))))))))))) ### ConjTree 332
% 207.71/208.12 334. 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!= (e4)) \/ (((op (e1) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e1)) != (e4)) \/ (((op (e1) (e4)) = (e1)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e2)) != (e4)) \/ (((op (e1) (e4)) = (e2)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e3)) != (e4)) \/ (((op (e1) (e4)) = (e3)) /\ ((e4) != (unit)))) /\ ((((op (e1) (e4)) != (e4)) \/ (((op (e1) (e4)) = (e4)) /\ ((e4) != (unit)))) /\ ((((op (e2) (e0)) != (e4)) \/ (((op (e2) (e4)) = (e0)) /\ ((e4) != (unit)))) /\ ((((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)) /\ 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(e4)) != (op (e1) (e4))) ((op (e0) (e3)) != (op (e0) (e4))) ((op (e0) (e2)) != (op (e0) (e4))) ((op (e0) (e1)) != (op (e0) (e4))) ((op (e0) (e0)) != (op (e4) (e0))) ((op (e0) (e3)) != (op (e4) (e3))) ((op (e1) (e3)) != (op (e4) (e3))) ((op (e2) (e3)) != (op (e4) (e3))) (((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) ((op (e2) (e4)) != (op (e3) (e4))) ((op (e4) (e0)) != (op (e4) (e3))) ((op (e4) (e1)) != (op (e4) (e3))) ((op (e4) (e2)) != (op (e4) (e3))) ((op (e4) (e3)) != (op (e4) (e4))) ((op (e0) (e2)) != (op (e4) (e2))) ((op (e1) (e2)) != (op (e4) (e2))) (((op (e2) (e2)) != (e4)) \/ ((op (e2) (e4)) = (e2))) ((e3) = (op (e2) (e4))) ((e2) != (e3)) ((op (e3) (e2)) != (op (e4) (e2))) ((e1) != (e4)) ((op (e4) (e0)) != (op (e4) (e1))) (((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) ((op (e1) (e0)) != (op (e1) (e4))) ((op (e4) (e2)) != (op (e4) (e4))) (((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) ((op (e2) (e4)) != (op (e4) (e4))) ((op (e4) (e1)) != (op (e4) (e4))) ((op (e4) (e0)) != (op (e4) (e4))) ((e1) = (op (e4) (e2))) ((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) ((op (e1) (e1)) != (op (e1) (e4))) (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ (((op (unit) (e4)) = (e4)) /\ (((op (e4) (unit)) = (e4)) /\ (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ (((unit) = (e3)) \/ ((unit) = (e4)))))))))))))))) ### ConjTree 333
% 207.71/208.13 335. 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/\ ((((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)))))))))))))))))))))))))))))))) (((op (e3) 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= (e4)))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e3)) \/ ((op (e1) (e1)) = (e4)))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e2)) = (e4)))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e3)) = (e4)))))) /\ ((((op (e1) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e3)) \/ ((op (e1) (e4)) = (e4)))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e2) (e0)) = (e4)))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e2) (e1)) = (e4)))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e2)) = (e4)))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e3)) = (e4)))))) /\ ((((op (e2) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e3)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e4)))))) /\ ((((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e4)))))) /\ ((((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e4)))))) /\ ((((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e4)))))) /\ ((((op (e3) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e3) (e4)) = (e4)))))) /\ ((((op (e4) (e0)) = (e0)) \/ (((op (e4) (e0)) = (e1)) \/ (((op (e4) (e0)) = (e2)) \/ (((op (e4) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e4)))))) /\ ((((op (e4) (e1)) = (e0)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e4) (e2)) = (e0)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e4) (e3)) = (e0)) \/ (((op (e4) (e3)) = (e1)) \/ (((op (e4) (e3)) = (e2)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e4)))))) /\ (((op (e4) (e4)) = (e0)) \/ (((op (e4) (e4)) = (e1)) \/ (((op (e4) (e4)) = (e2)) \/ (((op (e4) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e4)))))))))))))))))))))))))))))) ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e3)) = (e0)) \/ ((op (e0) (e4)) = (e0)))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e0)) \/ ((op (e4) (e0)) = (e0)))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e3)) = (e1)) \/ ((op (e0) (e4)) = (e1)))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e1)) \/ ((op (e4) (e0)) = (e1)))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e4)) = (e2)))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e4) (e0)) = (e2)))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ (((op (e0) (e3)) = (e3)) \/ ((op (e0) (e4)) = (e3)))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ (((op (e3) (e0)) = (e3)) \/ ((op (e4) (e0)) = (e3)))))) /\ ((((op (e0) (e0)) = (e4)) \/ (((op (e0) (e1)) = (e4)) \/ (((op (e0) (e2)) = (e4)) \/ (((op (e0) (e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) /\ ((((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ ((op (e1) (e4)) = (e0)))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ ((op (e4) (e1)) = (e0)))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ ((op (e1) (e4)) = (e1)))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e4)) = (e2)))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op 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\/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1)))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e4) (e2)) = (e1)))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e4)) = (e2)))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e4) (e2)) = (e2)))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e3)))))) /\ ((((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0)))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e3)) = (e0)))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e3) (e4)) = (e1)))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e3)) = (e2)))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e4)) = (e3)))))) /\ ((((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e3)))))) /\ ((((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) /\ ((((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) /\ ((((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4)))))) /\ (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 334
% 207.71/208.13 336. 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% 207.71/208.13 337. 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(e4))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) ### ConjTree 336
% 207.71/208.13 338. 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(e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) /\ ((((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))) /\ ((((op (e3) (e3)) != (e4)) \/ ((op (e3) (e4)) = (e3))) /\ ((((op (e4) (e4)) != (e0)) \/ ((op (e4) (e0)) = (e4))) /\ ((((op (e4) (e4)) != (e1)) \/ ((op (e4) (e1)) = (e4))) /\ ((((op (e4) (e4)) != (e2)) \/ ((op (e4) (e2)) = (e4))) /\ ((((op (e4) (e4)) != (e3)) \/ ((op (e4) (e3)) = (e4))) /\ ((((op (e4) (e4)) != (e4)) \/ ((op (e4) (e4)) = (e4))) /\ (((((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) != 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(e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e4))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e4))) /\ (((op (e2) (e3)) != (op (e2) (e4))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e4))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e4))) /\ (((op (e3) (e2)) != (op (e3) (e3))) /\ (((op (e3) (e2)) != (op (e3) (e4))) /\ (((op (e3) (e3)) != (op (e3) (e4))) /\ (((op (e4) (e0)) != (op (e4) (e1))) /\ (((op (e4) (e0)) != (op (e4) (e2))) /\ (((op (e4) (e0)) != (op (e4) (e3))) /\ (((op (e4) (e0)) != (op (e4) (e4))) /\ (((op (e4) (e1)) != (op (e4) (e2))) /\ (((op (e4) (e1)) != (op (e4) (e3))) /\ (((op (e4) (e1)) != (op (e4) (e4))) /\ (((op (e4) (e2)) != (op (e4) (e3))) /\ (((op (e4) (e2)) != (op (e4) (e4))) /\ ((op (e4) (e3)) != (op (e4) (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((e0) = (op (op (e4) (e2)) (op (e4) (e2)))) /\ (((e1) = (op (e4) (e2))) /\ ((e3) = (op (e2) (e4))))) ### ConjTree 337
% 207.71/208.13 339. (-. (-. 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/\ (((op (e0) (e3)) != (op (e4) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e4) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e4) (e3))) /\ (((op (e3) (e3)) != (op (e4) (e3))) /\ (((op (e0) (e4)) != (op (e1) (e4))) /\ (((op (e0) (e4)) != (op (e2) (e4))) /\ (((op (e0) (e4)) != (op (e3) (e4))) /\ (((op (e0) (e4)) != (op (e4) (e4))) /\ (((op (e1) (e4)) != (op (e2) (e4))) /\ (((op (e1) (e4)) != (op (e3) (e4))) /\ (((op (e1) (e4)) != (op (e4) (e4))) /\ (((op (e2) (e4)) != (op (e3) (e4))) /\ (((op (e2) (e4)) != (op (e4) (e4))) /\ (((op (e3) (e4)) != (op (e4) (e4))) /\ (((op (e0) (e0)) != (op (e0) (e1))) /\ (((op (e0) (e0)) != (op (e0) (e2))) /\ (((op (e0) (e0)) != (op (e0) (e3))) /\ (((op (e0) (e0)) != (op (e0) (e4))) /\ (((op (e0) (e1)) != (op (e0) (e2))) /\ (((op (e0) (e1)) != (op (e0) (e3))) /\ (((op (e0) (e1)) != (op (e0) (e4))) /\ (((op (e0) (e2)) != (op (e0) (e3))) /\ (((op (e0) (e2)) != 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(e3)) = (e4)) \/ ((op (e0) (e4)) = (e4)))))) /\ ((((op (e0) (e0)) = (e4)) \/ (((op (e1) (e0)) = (e4)) \/ (((op (e2) (e0)) = (e4)) \/ (((op (e3) (e0)) = (e4)) \/ ((op (e4) (e0)) = (e4)))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ ((op (e1) (e4)) = (e0)))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ ((op (e4) (e1)) = (e0)))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ ((op (e1) (e4)) = (e1)))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ ((op (e4) (e1)) = (e1)))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e4)) = (e2)))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e4) (e1)) = (e2)))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ ((op (e1) (e4)) = (e3)))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ ((op (e4) (e1)) = (e3)))))) /\ ((((op (e1) (e0)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ ((op (e1) (e4)) = (e4)))))) /\ ((((op (e0) (e1)) = (e4)) \/ (((op (e1) (e1)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ ((op (e4) (e1)) = (e4)))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e2) (e4)) = (e0)))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e4) (e2)) = (e0)))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e2) (e4)) = (e1)))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e4) (e2)) = (e1)))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e4)) = (e2)))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e4) (e2)) = (e2)))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e2) (e4)) = (e3)))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e4) (e2)) = (e3)))))) /\ ((((op (e2) (e0)) = (e4)) \/ (((op (e2) (e1)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ ((op (e2) (e4)) = (e4)))))) /\ ((((op (e0) (e2)) = (e4)) \/ (((op (e1) (e2)) = (e4)) \/ (((op (e2) (e2)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ ((op (e4) (e2)) = (e4)))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e3) (e4)) = (e0)))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e0)) \/ ((op (e4) (e3)) = (e0)))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e3) (e4)) = (e1)))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e1)) \/ ((op (e4) (e3)) = (e1)))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e4)) = (e2)))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e4) (e3)) = (e2)))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e3) (e4)) = (e3)))))) /\ ((((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ (((op (e3) (e3)) = (e3)) \/ ((op (e4) (e3)) = (e3)))))) /\ ((((op (e3) (e0)) = (e4)) \/ (((op (e3) (e1)) = (e4)) \/ (((op (e3) (e2)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e3) (e4)) = (e4)))))) /\ ((((op (e0) (e3)) = (e4)) \/ (((op (e1) (e3)) = (e4)) \/ (((op (e2) (e3)) = (e4)) \/ (((op (e3) (e3)) = (e4)) \/ ((op (e4) (e3)) = (e4)))))) /\ ((((op (e4) (e0)) = (e0)) \/ (((op (e4) (e1)) = (e0)) \/ (((op (e4) (e2)) = (e0)) \/ (((op (e4) (e3)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e0) (e4)) = (e0)) \/ (((op (e1) (e4)) = (e0)) \/ (((op (e2) (e4)) = (e0)) \/ (((op (e3) (e4)) = (e0)) \/ ((op (e4) (e4)) = (e0)))))) /\ ((((op (e4) (e0)) = (e1)) \/ (((op (e4) (e1)) = (e1)) \/ (((op (e4) (e2)) = (e1)) \/ (((op (e4) (e3)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e0) (e4)) = (e1)) \/ (((op (e1) (e4)) = (e1)) \/ (((op (e2) (e4)) = (e1)) \/ (((op (e3) (e4)) = (e1)) \/ ((op (e4) (e4)) = (e1)))))) /\ ((((op (e4) (e0)) = (e2)) \/ (((op (e4) (e1)) = (e2)) \/ (((op (e4) (e2)) = (e2)) \/ (((op (e4) (e3)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e0) (e4)) = (e2)) \/ (((op (e1) (e4)) = (e2)) \/ (((op (e2) (e4)) = (e2)) \/ (((op (e3) (e4)) = (e2)) \/ ((op (e4) (e4)) = (e2)))))) /\ ((((op (e4) (e0)) = (e3)) \/ (((op (e4) (e1)) = (e3)) \/ (((op (e4) (e2)) = (e3)) \/ (((op (e4) (e3)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e0) (e4)) = (e3)) \/ (((op (e1) (e4)) = (e3)) \/ (((op (e2) (e4)) = (e3)) \/ (((op (e3) (e4)) = (e3)) \/ ((op (e4) (e4)) = (e3)))))) /\ ((((op (e4) (e0)) = (e4)) \/ (((op (e4) (e1)) = (e4)) \/ (((op (e4) (e2)) = (e4)) \/ (((op (e4) (e3)) = (e4)) \/ ((op (e4) (e4)) = (e4)))))) /\ (((op (e0) (e4)) = (e4)) \/ (((op (e1) (e4)) = (e4)) \/ (((op (e2) (e4)) = (e4)) \/ (((op (e3) (e4)) = (e4)) \/ ((op (e4) (e4)) = (e4))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e0) != (e4)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ (((e1) != (e4)) /\ (((e2) != (e3)) /\ (((e2) != (e4)) /\ ((e3) != (e4))))))))))) ### NotNot 338
% 207.71/208.14 % SZS output end Proof
% 207.71/208.14 (* END-PROOF *)
%------------------------------------------------------------------------------