TSTP Solution File: ALG156+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG156+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 : n025.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 18:05:49 EDT 2022
% Result : Unsatisfiable 8.75s 8.99s
% Output : Proof 9.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG156+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n025.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 : Thu Jun 9 00:42:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 8.75/8.99 % SZS status Theorem
% 8.75/8.99 (* PROOF-FOUND *)
% 8.75/8.99 (* BEGIN-PROOF *)
% 8.75/8.99 % SZS output start Proof
% 8.75/8.99 1. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom
% 8.75/8.99 2. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 1
% 8.75/8.99 3. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom
% 8.75/8.99 4. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ### ConjTree 3
% 8.75/8.99 5. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom
% 8.75/8.99 6. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ### ConjTree 5
% 8.75/8.99 7. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom
% 8.75/8.99 8. (((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ### ConjTree 7
% 8.75/8.99 9. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.75/8.99 10. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### ConjTree 9
% 8.75/8.99 11. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom
% 8.75/8.99 12. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 11
% 8.75/8.99 13. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.75/8.99 14. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.75/8.99 15. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=)
% 8.75/8.99 16. ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 13 14 15
% 8.75/8.99 17. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 16
% 8.75/8.99 18. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 16
% 8.75/8.99 19. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 8.75/8.99 20. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ### ConjTree 19
% 8.75/8.99 21. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.75/8.99 22. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.75/8.99 23. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=)
% 8.75/8.99 24. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 21 22 23
% 8.75/8.99 25. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 24
% 8.75/8.99 26. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom
% 8.75/8.99 27. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 26
% 8.75/8.99 28. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 24
% 8.75/8.99 29. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom
% 8.75/8.99 30. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ### ConjTree 29
% 8.75/8.99 31. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.75/8.99 32. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.75/8.99 33. ((op (e0) (e0)) = (e0)) ((e0) != (op (e0) (e0))) ### Sym(=)
% 8.75/8.99 34. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) = (e0)) ### TransEq-sym 31 32 33
% 8.75/8.99 35. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 34
% 8.75/8.99 36. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### ConjTree 34
% 8.75/8.99 37. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom
% 8.75/8.99 38. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 37
% 8.75/8.99 39. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom
% 8.75/8.99 40. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 39
% 8.75/8.99 41. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom
% 8.75/8.99 42. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ### ConjTree 41
% 8.75/8.99 43. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.75/8.99 44. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e2)) != (e0)) ### ConjTree 43
% 8.75/8.99 45. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.75/8.99 46. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) != (e0)) ### ConjTree 45
% 8.75/8.99 47. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom
% 8.75/8.99 48. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### ConjTree 47
% 8.75/8.99 49. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom
% 8.75/8.99 50. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 49
% 8.75/8.99 51. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom
% 8.75/8.99 52. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ### ConjTree 51
% 8.75/8.99 53. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom
% 8.75/8.99 54. (((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ### ConjTree 53
% 8.75/8.99 55. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 8.75/8.99 56. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 8.75/8.99 57. ((e0) != (e0)) ### NotEqual
% 8.75/8.99 58. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 55 56 57
% 8.75/8.99 59. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### ConjTree 58
% 8.75/8.99 60. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 8.75/8.99 61. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ### ConjTree 60
% 8.75/8.99 62. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom
% 8.75/8.99 63. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 62
% 8.75/8.99 64. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/8.99 65. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/8.99 66. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=)
% 8.75/8.99 67. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) = (e0)) ### TransEq 64 65 66
% 8.75/8.99 68. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/8.99 69. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=)
% 8.75/8.99 70. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=)
% 8.75/8.99 71. ((e1) != (e1)) ### NotEqual
% 8.75/8.99 72. ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e0)) ### TransEq 69 70 71
% 8.75/8.99 73. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/8.99 74. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 8.75/8.99 75. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 8.75/8.99 76. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 8.75/8.99 77. ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 74 75 76
% 8.75/8.99 78. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 8.75/8.99 79. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 8.75/8.99 80. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom
% 8.75/8.99 81. ((op (e1) (op (e1) (e1))) != (op (e1) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 71 80
% 8.75/8.99 82. ((e0) != (op (e1) (op (e1) (e1)))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans-sym 81 57
% 8.75/8.99 83. ((op (e1) (op (e1) (e1))) != (e0)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans 81 57
% 8.75/8.99 84. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e0)) ### NotEqual 83 71
% 8.75/8.99 85. ((e2) != (e2)) ### NotEqual
% 8.75/9.00 86. ((e2) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### Trans-sym 84 85
% 8.75/9.00 87. (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e3)) ### DisjTree 79 82 86
% 8.75/9.00 88. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e0)) ### DisjTree 73 77 78 87
% 8.75/9.00 89. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 68 72 88
% 8.75/9.00 90. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 91. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.75/9.00 92. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.75/9.00 93. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=)
% 8.75/9.00 94. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 91 92 93
% 8.75/9.00 95. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 96. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 97. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=)
% 8.75/9.00 98. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) = (e0)) ### TransEq 95 96 97
% 8.75/9.00 99. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=)
% 8.75/9.00 100. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=)
% 8.75/9.00 101. ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e0)) ### TransEq 99 100 85
% 8.75/9.00 102. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.75/9.00 103. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.75/9.00 104. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.75/9.00 105. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=)
% 8.75/9.00 106. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 103 104 105
% 8.75/9.00 107. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 102 106
% 8.75/9.00 108. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.75/9.00 109. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.75/9.00 110. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=)
% 8.75/9.00 111. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 108 109 110
% 8.75/9.00 112. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.75/9.00 113. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.75/9.00 114. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=)
% 8.75/9.00 115. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq-sym 112 113 114
% 8.75/9.00 116. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 107 111 115
% 8.75/9.00 117. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 8.75/9.00 118. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.75/9.00 119. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.75/9.00 120. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=)
% 8.75/9.00 121. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq 118 119 120
% 8.75/9.00 122. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=)
% 8.75/9.00 123. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=)
% 8.75/9.00 124. ((e0) != (e2)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 122 123 57
% 8.75/9.00 125. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 116 117 121 124
% 8.75/9.00 126. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 90 72 125
% 8.75/9.00 127. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.75/9.00 128. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.75/9.00 129. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=)
% 8.75/9.00 130. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 127 128 129
% 8.75/9.00 131. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 89 126 130
% 8.75/9.00 132. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 131
% 8.75/9.00 133. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 8.75/9.00 134. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 8.75/9.00 135. ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 133 134 57
% 8.75/9.00 136. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### ConjTree 135
% 8.75/9.00 137. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom
% 8.75/9.00 138. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ### ConjTree 137
% 8.75/9.00 139. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 8.75/9.00 140. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 8.75/9.00 141. ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 139 140 71
% 8.75/9.00 142. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 143. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 144. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 145. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=)
% 8.75/9.00 146. ((op (e0) (e1)) = (e1)) ((e1) != (op (e0) (e1))) ### Sym(=)
% 8.75/9.00 147. ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e1)) ### TransEq-sym 145 146 57
% 8.75/9.00 148. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 149. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=)
% 8.75/9.00 150. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=)
% 8.75/9.00 151. ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e1)) ### TransEq 149 150 85
% 8.75/9.00 152. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 8.75/9.00 153. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 8.75/9.00 154. ((e2) != (e3)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 152 153 85
% 8.75/9.00 155. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom
% 8.75/9.00 156. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 101 154 155
% 8.75/9.00 157. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.75/9.00 158. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.75/9.00 159. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=)
% 8.75/9.00 160. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 157 158 159
% 8.75/9.00 161. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 8.75/9.00 162. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 8.75/9.00 163. ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 161 162 71
% 8.75/9.00 164. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 8.75/9.00 165. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom
% 8.75/9.00 166. ((op (e2) (op (e2) (e2))) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 85 165
% 8.75/9.00 167. ((e1) != (op (e2) (op (e2) (e2)))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 166 71
% 8.75/9.00 168. ((op (e2) (op (e2) (e2))) != (e1)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans 166 71
% 8.75/9.00 169. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e1)) ### NotEqual 168 85
% 8.75/9.00 170. ((e0) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e1) (e2)) = (e0)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### Trans-sym 169 57
% 8.75/9.00 171. (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e3)) ### DisjTree 164 167 170
% 8.75/9.00 172. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 156 160 163 171
% 8.75/9.00 173. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 174. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 175. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.75/9.00 176. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.75/9.00 177. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 8.75/9.00 178. ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 175 176 177
% 8.75/9.00 179. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=)
% 8.75/9.00 180. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom
% 8.75/9.00 181. ((op (e1) (op (e1) (e1))) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) ### NotEqual 71 180
% 8.75/9.00 182. ((e0) != (op (e1) (op (e1) (e1)))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans-sym 181 57
% 8.75/9.00 183. ((op (e1) (op (e1) (e1))) != (e0)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans 181 57
% 8.75/9.00 184. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e0) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) ### NotEqual 183 71
% 8.75/9.00 185. ((e3) != (e3)) ### NotEqual
% 8.75/9.00 186. ((e3) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e0) (e1)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### Trans-sym 184 185
% 8.75/9.00 187. (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ### DisjTree 179 182 186
% 8.75/9.00 188. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.75/9.00 189. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) = (e0)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e0)) ### DisjTree 174 178 187 188
% 8.75/9.00 190. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=)
% 8.75/9.00 191. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=)
% 8.75/9.00 192. ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e0)) ### TransEq 190 191 71
% 8.75/9.00 193. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 173 189 192
% 8.75/9.00 194. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.75/9.00 195. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=)
% 8.75/9.00 196. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=)
% 8.75/9.00 197. ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 195 196 85
% 8.75/9.00 198. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom
% 8.75/9.00 199. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 197 154 198
% 8.75/9.00 200. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.75/9.00 201. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.75/9.00 202. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=)
% 8.75/9.00 203. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 200 201 202
% 8.75/9.00 204. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 199 160 163 203
% 8.75/9.00 205. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=)
% 8.75/9.00 206. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=)
% 8.75/9.00 207. ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e0)) ### TransEq 205 206 185
% 8.75/9.00 208. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 193 194 204 207
% 8.75/9.00 209. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 148 172 208
% 8.75/9.00 210. ((e0) != (e1)) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 144 209 192
% 8.75/9.00 211. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 212. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 213. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=)
% 8.75/9.00 214. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e0)) ### TransEq 211 212 213
% 8.75/9.00 215. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 216. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 217. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=)
% 8.75/9.00 218. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq 215 216 217
% 8.75/9.00 219. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.75/9.00 220. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.75/9.00 221. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 8.75/9.00 222. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 219 220 221
% 8.75/9.00 223. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.75/9.00 224. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.75/9.00 225. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=)
% 8.75/9.00 226. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 223 224 225
% 8.75/9.00 227. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=)
% 8.75/9.00 228. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=)
% 8.75/9.00 229. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=)
% 8.75/9.00 230. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 227 228 229
% 8.75/9.00 231. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 226 94 230
% 8.75/9.00 232. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 218 222 231
% 8.75/9.00 233. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.75/9.00 234. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.75/9.00 235. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 8.75/9.00 236. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) = (e2)) ### TransEq-sym 233 234 235
% 8.75/9.00 237. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=)
% 8.75/9.00 238. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=)
% 8.75/9.00 239. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 237 238 71
% 8.75/9.00 240. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 241. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.75/9.00 242. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=)
% 8.75/9.00 243. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=)
% 8.75/9.00 244. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=)
% 8.75/9.00 245. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 242 243 244
% 8.75/9.00 246. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=)
% 8.75/9.00 247. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=)
% 8.75/9.00 248. ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 246 247 85
% 8.75/9.00 249. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=)
% 8.75/9.00 250. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=)
% 8.75/9.00 251. ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 249 250 85
% 8.75/9.00 252. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=)
% 8.75/9.00 253. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=)
% 8.75/9.00 254. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=)
% 8.75/9.00 255. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq-sym 252 253 254
% 8.75/9.00 256. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.75/9.00 257. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.75/9.00 258. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=)
% 8.75/9.00 259. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 256 257 258
% 8.75/9.00 260. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 255 163 259
% 8.75/9.00 261. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 248 260
% 8.75/9.00 262. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 261 171
% 8.75/9.00 263. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 187 241 204 262
% 8.75/9.00 264. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=)
% 8.75/9.00 265. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=)
% 8.75/9.00 266. ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 264 265 71
% 8.75/9.00 267. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 263 121 266
% 8.75/9.00 268. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 240 267 192
% 8.75/9.00 269. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=)
% 8.75/9.00 270. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=)
% 8.75/9.00 271. ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 269 270 71
% 8.75/9.00 272. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 273. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 274. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=)
% 8.75/9.00 275. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom
% 8.75/9.00 276. ((op (e2) (op (e2) (e2))) != (op (e2) (e1))) ((op (e2) (e2)) = (e1)) ### NotEqual 85 275
% 8.75/9.00 277. ((e0) != (op (e2) (op (e2) (e2)))) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans-sym 276 57
% 8.75/9.00 278. ((op (e2) (op (e2) (e2))) != (e0)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans 276 57
% 8.75/9.00 279. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e0)) ### NotEqual 278 85
% 8.75/9.00 280. ((e3) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### Trans-sym 279 185
% 8.75/9.00 281. (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ### DisjTree 274 277 280
% 8.75/9.00 282. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 281 171
% 8.75/9.00 283. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 273 282 208
% 8.75/9.00 284. ((e0) != (e1)) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 272 283 192
% 8.75/9.00 285. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=)
% 8.75/9.00 286. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=)
% 8.75/9.00 287. ((e2) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 285 286 85
% 8.75/9.00 288. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 271 284 287
% 8.75/9.00 289. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 239 268 288
% 8.75/9.00 290. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=)
% 8.75/9.00 291. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=)
% 8.75/9.00 292. ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 290 291 71
% 8.75/9.00 293. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 178
% 8.75/9.00 294. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 295. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.75/9.00 296. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.75/9.00 297. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=)
% 8.75/9.00 298. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 295 296 297
% 8.75/9.00 299. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.75/9.00 300. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.75/9.00 301. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=)
% 8.75/9.00 302. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq 299 300 301
% 8.75/9.00 303. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.75/9.00 304. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 294 298 302 303
% 8.75/9.00 305. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.75/9.00 306. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=)
% 8.75/9.00 307. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=)
% 8.75/9.00 308. ((e0) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 306 307 57
% 8.75/9.00 309. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 8.75/9.00 310. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 8.75/9.00 311. ((e0) != (e1)) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) = (e1)) ### TransEq-sym 309 310 57
% 8.75/9.00 312. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom
% 8.75/9.00 313. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e0)) = (e2)) ### ConjTree 312
% 8.75/9.00 314. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom
% 8.75/9.00 315. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e0)) = (e3)) ### ConjTree 314
% 8.75/9.00 316. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### ConjTree 236
% 8.75/9.00 317. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 318. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 319. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 320. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=)
% 8.75/9.00 321. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq 318 319 320
% 8.75/9.00 322. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.75/9.00 323. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.75/9.00 324. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=)
% 8.75/9.00 325. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 322 323 324
% 8.75/9.00 326. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 321 94 325
% 8.75/9.00 327. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=)
% 8.75/9.00 328. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=)
% 8.75/9.00 329. ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 327 328 71
% 8.75/9.00 330. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=)
% 8.75/9.00 331. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=)
% 8.75/9.00 332. ((e0) != (e3)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 330 331 57
% 8.75/9.00 333. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 326 329 332
% 8.75/9.00 334. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 317 72 333
% 8.75/9.00 335. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 336. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.75/9.00 337. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=)
% 8.75/9.00 338. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 335 336 337
% 8.75/9.00 339. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.75/9.00 340. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.75/9.00 341. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=)
% 8.75/9.00 342. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq-sym 339 340 341
% 8.75/9.00 343. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=)
% 8.75/9.00 344. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=)
% 8.75/9.00 345. ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e1)) ### TransEq 343 344 185
% 8.75/9.00 346. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.75/9.00 347. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.75/9.00 348. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 8.75/9.00 349. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 346 347 348
% 8.75/9.00 350. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 8.75/9.00 351. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 8.75/9.00 352. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=)
% 8.75/9.00 353. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 350 351 352
% 8.75/9.00 354. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.75/9.00 355. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.75/9.00 356. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=)
% 8.75/9.00 357. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq-sym 354 355 356
% 8.75/9.00 358. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 345 349 353 357
% 8.75/9.00 359. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 160 342 358
% 8.75/9.00 360. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 8.75/9.00 361. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 8.75/9.00 362. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=)
% 8.75/9.00 363. ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) = (e1)) ### TransEq-sym 360 361 362
% 8.75/9.00 364. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 363
% 8.75/9.00 365. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 359 364 151 345
% 8.75/9.00 366. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 8.75/9.00 367. ((op (e1) (e2)) != (op (e1) (e2))) ### Refl(=)
% 8.75/9.00 368. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=)
% 8.75/9.00 369. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 366 367 368
% 8.75/9.00 370. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 371. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 87 329 332
% 8.75/9.00 372. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 370 72 371
% 8.75/9.00 373. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 374. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=)
% 8.75/9.00 375. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=)
% 8.75/9.00 376. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 8.75/9.00 377. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 374 375 376
% 8.75/9.00 378. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=)
% 8.75/9.00 379. ((op (e0) (e1)) = (e3)) ((e3) != (op (e0) (e1))) ### Sym(=)
% 8.75/9.00 380. ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e3)) ### TransEq-sym 378 379 57
% 8.75/9.00 381. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=)
% 8.75/9.00 382. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=)
% 8.75/9.00 383. ((e1) != (e3)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 381 382 71
% 8.75/9.00 384. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 380 248 383
% 8.75/9.00 385. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 386. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 8.75/9.00 387. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 8.75/9.00 388. ((e2) != (op (e1) (op (e1) (e1)))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 81 85
% 8.75/9.00 389. ((op (e1) (op (e1) (e1))) != (e2)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans 81 85
% 8.75/9.00 390. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) ### NotEqual 389 71
% 8.75/9.00 391. ((e0) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### Trans-sym 390 57
% 8.75/9.00 392. (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e3)) ### DisjTree 387 388 391
% 8.75/9.00 393. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 392 329 332
% 8.75/9.00 394. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 386 121 393
% 8.75/9.00 395. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.75/9.00 396. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.75/9.00 397. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=)
% 8.75/9.00 398. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e1)) ### TransEq 395 396 397
% 8.75/9.00 399. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 311 353 398
% 8.75/9.00 400. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 384 385 394 399
% 8.75/9.00 401. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 373 72 400
% 8.75/9.00 402. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=)
% 8.75/9.00 403. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=)
% 8.75/9.00 404. ((e1) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 402 403 71
% 8.75/9.00 405. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 372 401 404
% 8.75/9.00 406. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 405 363 151 345
% 8.75/9.00 407. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 334 365 369 406
% 8.75/9.00 408. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 407
% 8.75/9.00 409. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 377
% 8.75/9.00 410. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### ConjTree 231
% 8.75/9.00 411. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom
% 8.75/9.00 412. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 411
% 8.75/9.00 413. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom
% 8.75/9.00 414. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 413
% 8.75/9.00 415. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 416. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e1)) != (e0)) ### ConjTree 415
% 8.75/9.00 417. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom
% 8.75/9.00 418. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ### ConjTree 417
% 8.75/9.00 419. ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (e3)) ### Axiom
% 8.75/9.00 420. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e0)) = (e3)) ### ConjTree 419
% 8.75/9.00 421. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 8.75/9.00 422. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 8.75/9.00 423. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=)
% 8.75/9.00 424. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 421 422 423
% 8.75/9.00 425. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 424
% 8.75/9.00 426. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom
% 8.75/9.00 427. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 426
% 8.75/9.00 428. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom
% 8.75/9.00 429. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ### ConjTree 428
% 8.75/9.00 430. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 424
% 8.75/9.00 431. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom
% 8.75/9.00 432. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ### ConjTree 431
% 8.75/9.00 433. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom
% 8.75/9.00 434. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ### ConjTree 433
% 8.75/9.00 435. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom
% 8.75/9.00 436. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 435
% 8.75/9.00 437. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom
% 8.75/9.00 438. (((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ### ConjTree 437
% 8.75/9.00 439. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### ConjTree 377
% 8.75/9.00 440. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=)
% 8.75/9.00 441. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=)
% 8.75/9.00 442. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=)
% 8.75/9.00 443. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) = (e2)) ### TransEq-sym 440 441 442
% 8.75/9.00 444. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 443
% 8.75/9.00 445. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom
% 8.75/9.00 446. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ### ConjTree 445
% 8.75/9.00 447. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom
% 8.75/9.00 448. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 447
% 8.75/9.00 449. ((op (e0) (e0)) != (e0)) ((op (e0) (e0)) = (e0)) ### Axiom
% 8.75/9.00 450. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) ### ConjTree 449
% 8.75/9.00 451. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.75/9.00 452. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e1)) != (e0)) ### ConjTree 451
% 8.75/9.00 453. ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (e2)) ### Axiom
% 8.75/9.00 454. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e0)) = (e2)) ### ConjTree 453
% 8.75/9.00 455. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom
% 8.75/9.00 456. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ### ConjTree 455
% 8.75/9.00 457. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=)
% 8.75/9.00 458. ((op (e3) (e1)) != (op (e3) (e1))) ### Refl(=)
% 8.75/9.00 459. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=)
% 8.75/9.00 460. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 457 458 459
% 8.75/9.00 461. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 460
% 8.75/9.00 462. ((op (e1) (e1)) != (e1)) ((op (e1) (e1)) = (e1)) ### Axiom
% 8.75/9.00 463. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) ### ConjTree 462
% 8.75/9.00 464. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 460
% 8.75/9.00 465. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom
% 8.75/9.00 466. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ### ConjTree 465
% 8.75/9.00 467. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### ConjTree 236
% 8.75/9.00 468. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=)
% 8.75/9.00 469. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=)
% 8.75/9.00 470. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=)
% 8.75/9.00 471. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 468 469 470
% 8.75/9.00 472. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 471
% 8.75/9.00 473. ((op (e2) (e2)) != (e2)) ((op (e2) (e2)) = (e2)) ### Axiom
% 8.75/9.00 474. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) ### ConjTree 473
% 8.75/9.00 475. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 8.75/9.00 476. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ### ConjTree 475
% 8.75/9.00 477. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom
% 8.75/9.00 478. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ### ConjTree 477
% 8.75/9.00 479. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom
% 8.75/9.00 480. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ### ConjTree 479
% 8.75/9.00 481. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom
% 8.75/9.00 482. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ### ConjTree 481
% 8.75/9.00 483. ((op (e3) (e3)) != (e3)) ((op (e3) (e3)) = (e3)) ### Axiom
% 8.75/9.00 484. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ### ConjTree 483
% 8.75/9.00 485. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 313 315 48 50 52 54 316 61 63 408 409 138 410 412 414 416 418 420 425 427 429 430 432 434 436 438 439 444 446 448 450 452 454 456 461 463 464 466 467 472 474 476 478 480 482 484
% 8.78/9.00 486. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=)
% 8.78/9.00 487. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=)
% 8.78/9.00 488. ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e0)) ### TransEq 486 487 185
% 8.78/9.00 489. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.78/9.00 490. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.78/9.00 491. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=)
% 8.78/9.00 492. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 489 490 491
% 8.78/9.00 493. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e3) (e2)) = (e0)) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### DisjTree 485 255 488 492
% 8.78/9.00 494. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.78/9.00 495. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e3)) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 308 311 493 494
% 8.78/9.01 496. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 8.78/9.01 497. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 8.78/9.01 498. ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e1)) ### TransEq 496 497 185
% 8.78/9.01 499. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 193 305 495 498
% 8.78/9.01 500. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 239 293 304 499
% 8.78/9.01 501. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != 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(e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 193 292 500
% 8.78/9.01 502. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=)
% 8.78/9.01 503. ((op (e0) (e2)) = (e2)) ((e2) != (op (e0) (e2))) ### Sym(=)
% 8.78/9.01 504. ((e1) != (e2)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) = (e2)) ### TransEq-sym 502 503 71
% 8.78/9.01 505. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 193 292 287
% 8.78/9.01 506. ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) 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(e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 501 504 505
% 8.78/9.01 507. ((e0) != (e2)) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ 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\/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 232 226 151 506
% 8.78/9.01 508. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.78/9.01 509. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.78/9.01 510. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=)
% 8.78/9.01 511. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 508 509 510
% 8.78/9.01 512. 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(e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 232 289 507 511
% 8.78/9.01 513. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=)
% 8.78/9.01 514. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=)
% 8.78/9.01 515. ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) = (e1)) ### TransEq 513 514 85
% 8.78/9.01 516. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom
% 8.78/9.01 517. ((op (e2) (e1)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 512 515 154 516
% 8.78/9.01 518. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.78/9.01 519. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 189 518 199 498
% 8.78/9.01 520. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 519 304 163 171
% 8.78/9.01 521. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.78/9.01 522. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.78/9.01 523. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=)
% 8.78/9.01 524. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 521 522 523
% 8.78/9.01 525. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.78/9.01 526. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom
% 8.78/9.01 527. ((op (e2) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 512 197 154 526
% 8.78/9.01 528. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=)
% 8.78/9.01 529. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=)
% 8.78/9.01 530. ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) = (e2)) ### TransEq 528 529 185
% 8.78/9.01 531. 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(e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 193 525 527 530
% 8.78/9.02 532. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 520 524 101 531
% 8.78/9.02 533. ((op (e1) (e2)) = (e0)) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ### DisjTree 210 178 517 532
% 8.78/9.02 534. 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(e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 208 293 517 311
% 8.78/9.02 535. ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 143 533 534
% 8.78/9.02 536. 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(e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = 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(e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 142 535 192
% 8.80/9.02 537. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.02 538. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=)
% 8.80/9.02 539. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom
% 8.80/9.02 540. ((op (e0) (op (e0) (e0))) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ### NotEqual 57 539
% 8.80/9.02 541. ((e3) != (op (e0) (op (e0) (e0)))) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans-sym 540 185
% 8.80/9.02 542. ((op (e0) (op (e0) (e0))) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans 540 185
% 8.80/9.02 543. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) ### NotEqual 542 57
% 8.80/9.02 544. ((e2) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### Trans-sym 543 85
% 8.80/9.02 545. (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ### DisjTree 538 541 544
% 8.80/9.02 546. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.80/9.02 547. 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(e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 545 546 527 498
% 8.80/9.02 548. (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 209 178 517 547
% 8.80/9.02 549. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 537 548 192
% 8.80/9.02 550. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 536 512 549
% 8.80/9.03 551. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.03 552. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 239 178 304 520
% 8.80/9.03 553. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 551 552 192
% 8.80/9.03 554. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 553 504 505
% 8.80/9.03 555. ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 550 210 554 511
% 8.80/9.03 556. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = 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/\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) ### ConjTree 555
% 8.80/9.03 557. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.80/9.03 558. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) != (e0)) ### ConjTree 557
% 8.80/9.03 559. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.03 560. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.03 561. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.03 562. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### ConjTree 321
% 8.80/9.03 563. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.03 564. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 8.80/9.03 565. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.80/9.03 566. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.80/9.03 567. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 8.80/9.03 568. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ### TransEq 565 566 567
% 8.80/9.03 569. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 570. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 571. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=)
% 8.80/9.03 572. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 569 570 571
% 8.80/9.03 573. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 574. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 575. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=)
% 8.80/9.03 576. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e1)) ((op (e2) (e3)) = (e1)) ### TransEq 573 574 575
% 8.80/9.03 577. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=)
% 8.80/9.03 578. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=)
% 8.80/9.03 579. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=)
% 8.80/9.03 580. ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 577 578 579
% 8.80/9.03 581. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.80/9.03 582. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 8.80/9.03 583. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=)
% 8.80/9.03 584. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 581 582 583
% 8.80/9.03 585. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 586. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 587. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=)
% 8.80/9.03 588. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq 585 586 587
% 8.80/9.03 589. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.80/9.03 590. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 8.80/9.03 591. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=)
% 8.80/9.03 592. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq 589 590 591
% 8.80/9.03 593. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ### DisjTree 106 178 588 592
% 8.80/9.03 594. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 584 171 593
% 8.80/9.03 595. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 8.80/9.03 596. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 197 171 259
% 8.80/9.03 597. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 595 596
% 8.80/9.03 598. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 572 576 594 597
% 8.80/9.03 599. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=)
% 8.80/9.03 600. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=)
% 8.80/9.03 601. ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e1)) ### TransEq 599 600 185
% 8.80/9.03 602. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=)
% 8.80/9.03 603. ((op (e3) (e0)) != (op (e3) (e0))) ### Refl(=)
% 8.80/9.03 604. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=)
% 8.80/9.03 605. ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 602 603 604
% 8.80/9.03 606. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.80/9.03 607. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.80/9.03 608. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=)
% 8.80/9.03 609. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) = (e3)) ### TransEq-sym 606 607 608
% 8.80/9.03 610. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 605 218 545 609
% 8.80/9.03 611. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 598 207 601 610
% 8.80/9.03 612. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 568 611 357
% 8.80/9.03 613. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 515 564 612
% 8.80/9.03 614. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 563 613
% 8.80/9.03 615. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.03 616. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.03 617. ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 615 616 71
% 8.80/9.03 618. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 614 617 197 207
% 8.80/9.03 619. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 8.80/9.03 620. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 515 619 203
% 8.80/9.03 621. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### ConjTree 620
% 8.80/9.03 622. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 562 618 72 621
% 8.80/9.03 623. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 560 561 101 622
% 8.80/9.03 624. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 559 623 107
% 8.80/9.03 625. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### ConjTree 624
% 8.80/9.03 626. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.03 627. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 8.80/9.03 628. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 627 357
% 8.80/9.03 629. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 321 628 72 620
% 8.80/9.03 630. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 626 629 107
% 8.80/9.03 631. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.03 632. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.03 633. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 226
% 8.80/9.03 634. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom
% 8.80/9.03 635. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e0)) = (e1)) ### ConjTree 634
% 8.80/9.03 636. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=)
% 8.80/9.03 637. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=)
% 8.80/9.03 638. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=)
% 8.80/9.03 639. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 636 637 638
% 8.80/9.03 640. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 8.80/9.03 641. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 639 515 640 357
% 8.80/9.03 642. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### ConjTree 641
% 8.80/9.03 643. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### ConjTree 135
% 8.80/9.03 644. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=)
% 8.80/9.03 645. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=)
% 8.80/9.03 646. ((e0) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e0)) ### TransEq 644 645 85
% 8.80/9.03 647. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.80/9.03 648. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 87 646 647
% 8.80/9.03 649. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=)
% 8.80/9.03 650. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=)
% 8.80/9.03 651. ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e2)) ### TransEq-sym 649 650 71
% 8.80/9.03 652. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.03 653. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.03 654. ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 652 653 85
% 8.80/9.03 655. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=)
% 8.80/9.03 656. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=)
% 8.80/9.03 657. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=)
% 8.80/9.03 658. ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e2)) ### TransEq-sym 655 656 657
% 8.80/9.03 659. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 654 121 658
% 8.80/9.03 660. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=)
% 8.80/9.03 661. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=)
% 8.80/9.03 662. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=)
% 8.80/9.03 663. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 660 661 662
% 8.80/9.03 664. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 648 659 663
% 8.80/9.03 665. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 664
% 8.80/9.03 666. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom
% 8.80/9.03 667. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e0)) = (e1)) ### ConjTree 666
% 8.80/9.03 668. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.03 669. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e2)) != (e0)) ### ConjTree 668
% 8.80/9.03 670. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### ConjTree 321
% 8.80/9.03 671. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=)
% 8.80/9.03 672. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=)
% 8.80/9.03 673. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=)
% 8.80/9.03 674. ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq 671 672 673
% 8.80/9.03 675. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.03 676. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.03 677. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=)
% 8.80/9.03 678. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 675 676 677
% 8.80/9.03 679. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 8.80/9.03 680. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 674 498 678 679
% 8.80/9.03 681. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 680
% 8.80/9.03 682. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### ConjTree 58
% 8.80/9.03 683. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.03 684. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.03 685. ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) = (e2)) ### TransEq-sym 683 684 57
% 8.80/9.03 686. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=)
% 8.80/9.03 687. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=)
% 8.80/9.03 688. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e3)) ### TransEq-sym 686 687 71
% 8.80/9.03 689. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=)
% 8.80/9.03 690. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=)
% 8.80/9.03 691. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=)
% 8.80/9.03 692. ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq-sym 689 690 691
% 8.80/9.03 693. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 654 692 332
% 8.80/9.03 694. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 685 187 693
% 8.80/9.03 695. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=)
% 8.80/9.03 696. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=)
% 8.80/9.03 697. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=)
% 8.80/9.03 698. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 695 696 697
% 8.80/9.03 699. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 700. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 701. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=)
% 8.80/9.03 702. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq 699 700 701
% 8.80/9.03 703. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 654 692 702
% 8.80/9.03 704. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 694 698 703
% 8.80/9.03 705. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### ConjTree 704
% 8.80/9.03 706. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) 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(e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ 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(e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 44 46 48 50 52 54 59 61 63 364 136 138 633 412 414 635 418 558 562 427 429 642 432 434 436 438 643 665 446 448 450 667 669 456 670 463 681 466 682 705 474 476 478 480 482 484
% 8.80/9.03 707. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 8.80/9.03 708. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 8.80/9.03 709. ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e2)) ### TransEq 707 708 185
% 8.80/9.03 710. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 651 424 709
% 8.80/9.03 711. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### ConjTree 710
% 8.80/9.03 712. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.80/9.03 713. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 8.80/9.03 714. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=)
% 8.80/9.03 715. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e3)) ### TransEq 712 713 714
% 8.80/9.03 716. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 8.80/9.03 717. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 718. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.03 719. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=)
% 8.80/9.03 720. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 717 718 719
% 8.80/9.03 721. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.80/9.03 722. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.80/9.03 723. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=)
% 8.80/9.03 724. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 721 722 723
% 8.80/9.03 725. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.03 726. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.03 727. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=)
% 8.80/9.03 728. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq-sym 725 726 727
% 8.80/9.03 729. 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(e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 313 315 48 50 52 54 316 61 63 364 409 138 633 412 414 635 418 420 562 427 429 430 432 434 436 438 439 444 446 448 450 667 454 456 670 463 464 466 467 472 474 476 478 480 482 484
% 8.80/9.03 730. 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/\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 688 251 729
% 8.80/9.03 731. 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(e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != 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(e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 724 728 730 580
% 8.80/9.04 732. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.04 733. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.04 734. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.04 735. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=)
% 8.80/9.04 736. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e2) (e3)) = (e2)) ### TransEq 733 734 735
% 8.80/9.04 737. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 736
% 8.80/9.04 738. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 8.80/9.04 739. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 732 678 737 738
% 8.80/9.04 740. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 363 731 739
% 8.80/9.04 741. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.04 742. 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(e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 740 741 646
% 8.80/9.04 743. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom
% 8.80/9.04 744. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=)
% 8.80/9.04 745. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=)
% 8.80/9.04 746. ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ### TransEq 744 745 85
% 8.80/9.04 747. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.04 748. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 8.80/9.04 749. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=)
% 8.80/9.04 750. ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq 747 748 749
% 8.80/9.04 751. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 750 398 663 259
% 8.80/9.04 752. 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 742 743 746 751
% 8.80/9.04 753. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom
% 8.80/9.04 754. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=)
% 8.80/9.04 755. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=)
% 8.80/9.04 756. ((e0) != (e1)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e1)) ### TransEq-sym 754 755 57
% 8.80/9.04 757. 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!= (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) 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(e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 740 753 746 756
% 8.80/9.04 758. 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(e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 752 646 757
% 8.80/9.04 759. 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(e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 715 716 758
% 8.80/9.04 760. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.04 761. 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(e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) 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(e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 759 760 646
% 8.80/9.04 762. 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\/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### ConjTree 761
% 8.80/9.04 763. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 471
% 8.80/9.04 764. 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(e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 44 315 48 50 52 54 59 61 63 364 409 138 633 412 414 635 418 420 562 427 429 711 432 434 436 438 439 762 446 448 450 667 669 456 670 463 464 466 763 472 474 476 478 480 482 484
% 8.80/9.04 765. (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ 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(e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = 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(e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### Or 706 764
% 8.80/9.04 766. (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ### Or 765 730
% 8.80/9.05 767. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 197 207
% 8.80/9.05 768. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.80/9.05 769. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.80/9.05 770. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=)
% 8.80/9.05 771. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) = (e1)) ### TransEq-sym 768 769 770
% 8.80/9.05 772. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### DisjTree 766 767 72 771
% 8.80/9.05 773. 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. 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% 8.80/9.05 774. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 631 773 107
% 8.80/9.05 775. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 8.80/9.05 776. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 8.80/9.05 777. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=)
% 8.80/9.05 778. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 775 776 777
% 8.80/9.05 779. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.05 780. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=)
% 8.80/9.05 781. ((op (e1) (e0)) != (op (e1) (e0))) ### Refl(=)
% 8.80/9.05 782. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.05 783. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) = (e1)) ### TransEq 780 781 782
% 8.80/9.05 784. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ### DisjTree 271 783 515 311
% 8.80/9.05 785. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.05 786. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 8.80/9.05 787. ((e0) != (op (e2) (op (e2) (e2)))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 166 57
% 8.80/9.05 788. ((op (e2) (op (e2) (e2))) != (e0)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans 166 57
% 8.80/9.05 789. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e0) (e2))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) = (e0)) ### NotEqual 788 85
% 8.80/9.05 790. ((e1) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### Trans-sym 789 71
% 8.80/9.05 791. (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e3)) ### DisjTree 786 787 790
% 8.80/9.05 792. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e2)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 584 791 593
% 8.80/9.05 793. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom
% 8.80/9.05 794. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=)
% 8.80/9.05 795. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=)
% 8.80/9.05 796. ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e1)) ### TransEq 794 795 185
% 8.80/9.05 797. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) ((op (e2) (e3)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 792 793 692 796
% 8.80/9.05 798. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.05 799. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 8.80/9.05 800. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 8.80/9.05 801. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 8.80/9.05 802. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=)
% 8.80/9.05 803. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq 800 801 802
% 8.80/9.05 804. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 803
% 8.80/9.05 805. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.05 806. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.05 807. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=)
% 8.80/9.05 808. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq 805 806 807
% 8.80/9.05 809. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ### DisjTree 798 799 804 808
% 8.80/9.05 810. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ### DisjTree 292 797 791 809
% 8.80/9.05 811. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 785 810
% 8.80/9.05 812. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 784 811 369 771
% 8.80/9.05 813. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 779 101 812
% 8.80/9.05 814. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 813 292 287
% 8.80/9.05 815. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) != (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 778 504 814
% 8.80/9.05 816. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op 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(e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. 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% 8.80/9.05 817. 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(((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ 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(e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 816
% 8.80/9.05 818. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ### ConjTree 617
% 8.80/9.05 819. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.05 820. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 8.80/9.05 821. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 248 329 820 488
% 8.80/9.05 822. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 72 819 821
% 8.80/9.05 823. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom
% 8.80/9.05 824. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. 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% 8.80/9.05 825. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 648 824 663
% 8.80/9.05 826. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### ConjTree 825
% 8.80/9.05 827. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 8.80/9.05 828. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 8.80/9.05 829. ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e3)) ### TransEq-sym 827 828 71
% 8.80/9.05 830. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.05 831. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.05 832. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.05 833. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 8.80/9.05 834. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 498 353 833
% 8.80/9.06 835. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### ConjTree 834
% 8.80/9.06 836. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.06 837. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.06 838. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=)
% 8.80/9.06 839. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 836 837 838
% 8.80/9.06 840. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.80/9.06 841. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 8.80/9.06 842. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=)
% 8.80/9.06 843. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) = (e2)) ### TransEq 840 841 842
% 8.80/9.06 844. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=)
% 8.80/9.06 845. ((e2) != (op (e0) (op (e0) (e0)))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans-sym 540 85
% 8.80/9.06 846. ((op (e0) (op (e0) (e0))) != (e2)) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans 540 85
% 8.80/9.06 847. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e2)) ### NotEqual 846 57
% 8.80/9.06 848. ((e3) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### Trans-sym 847 185
% 8.80/9.06 849. (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) = (e1)) ### DisjTree 844 845 848
% 8.80/9.06 850. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 724 338 843 849
% 8.80/9.06 851. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 839 678 850 171
% 8.80/9.06 852. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.80/9.06 853. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e3)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 207 851 852
% 8.80/9.06 854. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ### DisjTree 292 835 281 853
% 8.80/9.06 855. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 281 854
% 8.80/9.06 856. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.80/9.06 857. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 192 646 856
% 8.80/9.06 858. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 778 850 857
% 8.80/9.06 859. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.06 860. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.06 861. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 281 854
% 8.80/9.06 862. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ 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% 8.80/9.06 863. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 859 860 862 207
% 8.80/9.06 864. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.06 865. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.80/9.06 866. ((op (e1) (e2)) = (e2)) ((e2) != (op (e1) (e2))) ### Sym(=)
% 8.80/9.06 867. ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) = (e2)) ### TransEq-sym 864 865 866
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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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(((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 863 515 867 857
% 8.80/9.06 869. 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(e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e2) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 858 302 868 266
% 8.80/9.06 870. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op 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(e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != 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\/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 239 178 869 498
% 8.80/9.06 871. 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(((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 855 834 870
% 8.80/9.06 872. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 831 832 871 207
% 8.80/9.06 873. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.06 874. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.06 875. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.80/9.06 876. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.80/9.06 877. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=)
% 8.80/9.06 878. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) = (e3)) ### TransEq 875 876 877
% 8.80/9.06 879. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 87 878 332
% 8.80/9.06 880. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 218 222 879
% 8.80/9.06 881. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.06 882. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.06 883. ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) = (e1)) ### TransEq 881 882 85
% 8.80/9.06 884. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 880 883 101 530
% 8.80/9.06 885. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.06 886. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.06 887. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.06 888. ((e0) != (e1)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ### TransEq-sym 886 887 57
% 8.80/9.06 889. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 888 834 192
% 8.80/9.06 890. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 885 889 850 207
% 8.80/9.06 891. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 884 101 890 746
% 8.80/9.06 892. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 281 891
% 8.80/9.06 893. ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 892 883 107 530
% 8.80/9.06 894. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 893 835 192
% 8.80/9.06 895. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 873 874 894 207
% 8.80/9.06 896. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 830 872 895
% 8.80/9.07 897. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. 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((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != 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(e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e0) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 896 849 461
% 8.80/9.07 898. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.07 899. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.07 900. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.07 901. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.07 902. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.07 903. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.07 904. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 884 835 192
% 8.80/9.07 905. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 902 903 904 207
% 8.80/9.07 906. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 901 863 905
% 8.80/9.07 907. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.07 908. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 255 171 259
% 8.80/9.07 909. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 260 908
% 8.80/9.07 910. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 730 909 72 232
% 8.80/9.07 911. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.07 912. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.07 913. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 8.80/9.07 914. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 8.80/9.07 915. ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) ### TransEq-sym 913 914 57
% 8.80/9.07 916. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 255 915 259
% 8.80/9.07 917. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.80/9.07 918. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.80/9.07 919. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=)
% 8.80/9.07 920. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e1)) ((op (e3) (e2)) = (e1)) ### TransEq 917 918 919
% 8.80/9.07 921. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 8.80/9.07 922. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 568 920 921
% 8.80/9.07 923. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.80/9.07 924. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.80/9.07 925. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=)
% 8.80/9.07 926. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e3) (e2)) = (e0)) ### TransEq 923 924 925
% 8.80/9.07 927. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 926 920 121 884
% 8.80/9.07 928. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 922 835 260 927
% 8.80/9.07 929. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 910 916 928
% 8.80/9.07 930. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 883 929 124
% 8.80/9.07 931. ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = 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(e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 930 834 192
% 8.80/9.07 932. 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(e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 911 912 931 207
% 8.80/9.07 933. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e1) != (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. 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(e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 907 910 932
% 8.80/9.07 934. ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (-. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 933 849 461
% 8.80/9.08 935. 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(e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 906 934
% 8.80/9.08 936. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=)
% 8.80/9.08 937. ((op (e0) (e3)) = (e3)) ((e3) != (op (e0) (e3))) ### Sym(=)
% 8.80/9.08 938. ((e0) != (e3)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ### TransEq-sym 936 937 57
% 8.80/9.08 939. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 8.80/9.08 940. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 383 192 746 939
% 8.80/9.08 941. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.80/9.08 942. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 940 646 941
% 8.80/9.08 943. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) 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(e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 935 515 850 942
% 8.80/9.08 944. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=)
% 8.80/9.08 945. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=)
% 8.80/9.08 946. ((e1) != (e2)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) = (e2)) ### TransEq-sym 944 945 71
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(e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 943 947 948
% 8.80/9.08 950. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ 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(e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op 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(e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) 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(e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ### DisjTree 239 949 943 498
% 8.80/9.08 951. 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(e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ 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(e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 899 900 950 207
% 8.80/9.08 952. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.08 953. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.08 954. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 935 107 850 746
% 8.80/9.08 955. 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(e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op 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(e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != 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\/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 947 954
% 8.80/9.08 956. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 955 835 192
% 8.80/9.08 957. ((e1) != (e3)) ((op (e1) (e0)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 952 953 956 207
% 8.80/9.09 958. ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 898 951 957
% 8.80/9.09 959. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 960. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 8.80/9.09 961. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 8.80/9.09 962. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 8.80/9.09 963. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=)
% 8.80/9.09 964. ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 961 962 963
% 8.80/9.09 965. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 394 964 111 115
% 8.80/9.09 966. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.09 967. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 965 966 106
% 8.80/9.09 968. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 88 960 107 967
% 8.80/9.09 969. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 959 72 968
% 8.80/9.09 970. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 89 969 130
% 8.80/9.09 971. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 970
% 8.80/9.09 972. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 973. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 974. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 975. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.80/9.09 976. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 189 975 204 530
% 8.80/9.09 977. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 552 524 101 976
% 8.80/9.09 978. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 974 977 208
% 8.80/9.09 979. ((e0) != (e1)) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 973 978 192
% 8.80/9.09 980. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 979 268 709
% 8.80/9.09 981. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 979 288 709
% 8.80/9.09 982. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 553 980 981
% 8.80/9.09 983. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom
% 8.80/9.09 984. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 232 515 111 983
% 8.80/9.09 985. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.80/9.09 986. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 199 984 163 171
% 8.80/9.09 987. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 193 985 986 498
% 8.80/9.09 988. ((op (e1) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 982 178 984 987
% 8.80/9.09 989. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 972 988 192
% 8.80/9.09 990. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 8.80/9.09 991. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=)
% 8.80/9.09 992. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=)
% 8.80/9.09 993. ((e1) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 991 992 71
% 8.80/9.09 994. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 990 878 993
% 8.80/9.09 995. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 193 994 287
% 8.80/9.09 996. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 553 989 995
% 8.80/9.09 997. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 996 982 554 511
% 8.80/9.09 998. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) ((e1) != (e2)) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 997
% 8.80/9.09 999. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1000. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1001. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1002. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.09 1003. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 8.80/9.09 1004. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 515 1003 598
% 8.80/9.09 1005. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 1002 1004
% 8.80/9.09 1006. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) ### DisjTree 271 178 515 311
% 8.80/9.09 1007. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 784 1005 72 1006
% 8.80/9.09 1008. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1000 1001 101 1007
% 8.80/9.09 1009. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 999 1008 107
% 8.80/9.09 1010. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1011. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 562 597 72 620
% 8.80/9.09 1012. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1010 1011 107
% 8.80/9.09 1013. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 1009 248 1012
% 8.80/9.09 1014. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1015. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1016. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1017. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.80/9.09 1018. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 8.80/9.09 1019. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 298 1018 594
% 8.80/9.09 1020. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 1017 1019
% 8.80/9.09 1021. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 1020 617 197 207
% 8.80/9.09 1022. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 651 1021 72 621
% 8.80/9.09 1023. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1015 1016 101 1022
% 8.80/9.09 1024. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1014 1023 107
% 8.80/9.09 1025. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 1024 425 709
% 8.80/9.09 1026. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 778 1013 1025
% 8.80/9.09 1027. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 1026
% 8.80/9.09 1028. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1029. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 651 628 72 771
% 8.80/9.09 1030. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1028 1029 107
% 8.80/9.09 1031. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1030 424 709
% 8.80/9.09 1032. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1033. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1034. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 651 767 72 771
% 8.80/9.09 1035. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 1033 101 1034
% 8.80/9.09 1036. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1032 1035 107
% 8.80/9.09 1037. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1038. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 8.80/9.09 1039. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 1038 121 124
% 8.80/9.09 1040. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1037 72 1039
% 8.80/9.09 1041. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1042. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.09 1043. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 8.80/9.09 1044. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 8.80/9.09 1045. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 218 222 609
% 8.80/9.09 1046. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 498 1044 1045
% 8.80/9.09 1047. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 8.80/9.09 1048. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 333 530 1047 796
% 8.80/9.09 1049. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 1046 353 1048
% 8.80/9.09 1050. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 88 1043 101 1049
% 8.80/9.09 1051. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 8.80/9.09 1052. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 333 207 1051 796
% 8.80/9.09 1053. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 311 353 1052
% 8.80/9.09 1054. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 1042 1050 1053
% 8.80/9.09 1055. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1041 72 1054
% 8.80/9.09 1056. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 8.80/9.09 1057. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=)
% 8.80/9.09 1058. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=)
% 8.80/9.09 1059. ((e2) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e2)) ### TransEq 1057 1058 185
% 8.80/9.09 1060. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 245 1056 1059
% 8.80/9.09 1061. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((op (e3) (e3)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1055 1060 407
% 8.80/9.10 1062. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.80/9.10 1063. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.80/9.10 1064. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=)
% 8.80/9.10 1065. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) = (e3)) ### TransEq 1062 1063 1064
% 8.80/9.10 1066. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.10 1067. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 326 878 332
% 8.80/9.10 1068. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1066 72 1067
% 8.80/9.10 1069. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 1055 251 1068
% 8.80/9.10 1070. ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1061 1069 287
% 8.80/9.10 1071. ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 89 1040 1070
% 8.80/9.10 1072. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.10 1073. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 8.80/9.10 1074. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 8.80/9.10 1075. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ### ConjTree 1059
% 8.80/9.10 1076. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 358 530 1074 1075
% 8.80/9.10 1077. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e3) (e2)) != (e3)) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 342 1076
% 8.80/9.10 1078. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 88 1073 424 1077
% 8.80/9.10 1079. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1072 72 1078
% 8.80/9.10 1080. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 89 1040 404
% 8.80/9.10 1081. ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ### DisjTree 1071 1079 369 1080
% 8.80/9.10 1082. ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 1081
% 8.80/9.10 1083. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ### ConjTree 512
% 8.80/9.10 1084. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.10 1085. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 883 121 124
% 8.80/9.10 1086. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 1085 834 192
% 8.80/9.10 1087. 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(e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1084 910 1086
% 8.80/9.10 1088. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (-. 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(e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ 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(e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1087 251 485
% 8.80/9.10 1089. 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(((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 248 1088
% 8.80/9.10 1090. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.10 1091. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.80/9.10 1092. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.10 1093. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.80/9.10 1094. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.80/9.10 1095. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=)
% 8.80/9.10 1096. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq 1093 1094 1095
% 8.80/9.10 1097. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 783 94 1096
% 8.80/9.10 1098. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 1097 245 292 287
% 8.80/9.10 1099. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1098 835 281 853
% 8.80/9.10 1100. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 281 1099
% 8.80/9.10 1101. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ### DisjTree 1100 883 101 530
% 8.80/9.10 1102. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 1101 72 232
% 8.80/9.10 1103. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1091 1092 1102 207
% 8.80/9.10 1104. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1090 1103 905
% 8.80/9.10 1105. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 1104 251 461
% 8.80/9.10 1106. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 1105 287
% 8.80/9.10 1107. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ 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(e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 935 1089 1106
% 8.80/9.10 1108. 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(e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) 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(e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != 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\/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 1107
% 8.80/9.10 1109. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.10 1110. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 1109 281 207
% 8.80/9.10 1111. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 1110 260
% 8.80/9.11 1112. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 271 1110 260
% 8.80/9.11 1113. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.80/9.11 1114. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.80/9.11 1115. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=)
% 8.80/9.11 1116. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e2)) = (e1)) ### TransEq 1113 1114 1115
% 8.80/9.11 1117. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 1110 383
% 8.80/9.11 1118. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1111 1112 1116 1117
% 8.80/9.11 1119. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1118
% 8.80/9.11 1120. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.11 1121. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ### ConjTree 883
% 8.80/9.11 1122. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 8.80/9.11 1123. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ### DisjTree 766 1121 1122 192
% 8.80/9.11 1124. 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(((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1120 187 1123
% 8.80/9.11 1125. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 8.80/9.11 1126. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=)
% 8.80/9.11 1127. ((e3) != (op (e1) (op (e1) (e1)))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 181 185
% 8.80/9.11 1128. ((op (e1) (op (e1) (e1))) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans 181 185
% 8.80/9.11 1129. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) ### NotEqual 1128 71
% 8.80/9.11 1130. ((e0) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### Trans-sym 1129 57
% 8.80/9.11 1131. (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e2)) ### DisjTree 1126 1127 1130
% 8.80/9.11 1132. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 654 1131 702
% 8.80/9.11 1133. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 8.80/9.11 1134. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1132 1121 1133 192
% 8.80/9.11 1135. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.80/9.11 1136. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) ### DisjTree 287 266 646 1135
% 8.80/9.11 1137. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.80/9.11 1138. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) = (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 1134 1136 1137
% 8.80/9.11 1139. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.80/9.11 1140. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1138 488 1139
% 8.80/9.11 1141. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 883 1125 1140
% 8.80/9.11 1142. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 1141 251 485
% 8.80/9.11 1143. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 1124 698 1142
% 8.80/9.11 1144. ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1124 248 1142
% 8.80/9.11 1145. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.80/9.11 1146. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.80/9.11 1147. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.80/9.11 1148. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=)
% 8.80/9.11 1149. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) = (e1)) ### TransEq-sym 1146 1147 1148
% 8.80/9.11 1150. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 8.80/9.11 1151. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom
% 8.80/9.11 1152. ((op (e0) (op (e0) (e0))) != (op (e0) (e3))) ((op (e0) (e0)) = (e3)) ### NotEqual 57 1151
% 8.80/9.11 1153. ((e2) != (op (e0) (op (e0) (e0)))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1152 85
% 8.80/9.11 1154. ((op (e0) (op (e0) (e0))) != (e2)) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans 1152 85
% 8.80/9.11 1155. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) ### NotEqual 1154 57
% 8.80/9.11 1156. ((e1) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1155 71
% 8.80/9.11 1157. (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ### DisjTree 1150 1153 1156
% 8.80/9.11 1158. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.80/9.11 1159. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 8.80/9.11 1160. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=)
% 8.80/9.11 1161. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e3)) ### TransEq 1158 1159 1160
% 8.80/9.11 1162. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1157 222 1161
% 8.80/9.11 1163. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 605 1149 1162 377
% 8.80/9.11 1164. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.80/9.11 1165. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.80/9.11 1166. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.80/9.11 1167. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=)
% 8.80/9.11 1168. ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) = (e3)) ### TransEq-sym 1165 1166 1167
% 8.80/9.11 1169. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 1168
% 8.80/9.11 1170. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ### DisjTree 1145 1163 1164 1169
% 8.80/9.11 1171. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.80/9.11 1172. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1170 488 1171
% 8.80/9.11 1173. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.80/9.11 1174. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1172 688 251 729
% 8.80/9.11 1175. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 8.80/9.11 1176. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e1) (e2)) != (e1)) ((op (e1) (e1)) = (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1174 883 1175 192
% 8.80/9.11 1177. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) 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(e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1173 187 1176
% 8.90/9.11 1178. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ 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(e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1172 1177 698 287
% 8.90/9.12 1179. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. 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\/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 239 1144 1178
% 8.90/9.12 1180. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=)
% 8.90/9.12 1181. ((op (e1) (e0)) = (e0)) ((e0) != (op (e1) (e0))) ### Sym(=)
% 8.90/9.12 1182. ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) = (e0)) ### TransEq 1180 1181 71
% 8.90/9.12 1183. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.12 1184. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.12 1185. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.90/9.12 1186. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.90/9.12 1187. ((op (e1) (e3)) = (e3)) ((e3) != (op (e1) (e3))) ### Sym(=)
% 8.90/9.12 1188. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e3)) ### TransEq-sym 1185 1186 1187
% 8.90/9.12 1189. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 1183 1149 1184 1188
% 8.90/9.12 1190. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.12 1191. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.12 1192. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.90/9.12 1193. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 8.90/9.12 1194. ((op (e2) (e3)) = (e3)) ((e3) != (op (e2) (e3))) ### Sym(=)
% 8.90/9.12 1195. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) = (e3)) ### TransEq-sym 1192 1193 1194
% 8.90/9.12 1196. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ### DisjTree 1190 398 1191 1195
% 8.90/9.12 1197. (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ### DisjTree 383 1189 1196 1168
% 8.90/9.12 1198. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e1) (e3)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 392 160 964 715
% 8.90/9.12 1199. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.12 1200. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = 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(e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1174 1198 746 1199
% 8.90/9.12 1201. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.90/9.12 1202. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 8.90/9.12 1203. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=)
% 8.90/9.12 1204. ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 1201 1202 1203
% 8.90/9.12 1205. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.12 1206. 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(e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e2) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1200 1204 1205
% 8.90/9.12 1207. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ 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(e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = 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/\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 192 1206 1149
% 8.90/9.12 1208. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.12 1209. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1163 392 443 1208
% 8.90/9.12 1210. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ 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(e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1207 349 678 1209
% 8.90/9.12 1211. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ 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(e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 226 1206 1149
% 8.90/9.12 1212. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.12 1213. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1163 1198 646 1212
% 8.90/9.12 1214. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.12 1215. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1213 1204 1214
% 8.90/9.12 1216. 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(e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) 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(((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1211 311 678 1215
% 8.90/9.12 1217. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.12 1218. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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(e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 1210 1216 1217
% 8.90/9.12 1219. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.12 1220. 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(e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op 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(e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1218 488 1219
% 8.90/9.13 1221. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1220 1206
% 8.90/9.13 1222. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 392 692 702
% 8.90/9.13 1223. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.13 1224. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1163 1222 443 1223
% 8.90/9.13 1225. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ### DisjTree 383 192 171 1224
% 8.90/9.13 1226. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.90/9.13 1227. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 8.90/9.13 1228. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=)
% 8.90/9.13 1229. ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq 1226 1227 1228
% 8.90/9.13 1230. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ### DisjTree 1229 1116 843 171
% 8.90/9.13 1231. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 226 1230 1149
% 8.90/9.13 1232. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ### DisjTree 605 1231 222 377
% 8.90/9.13 1233. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1232 1229 488
% 8.90/9.13 1234. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.13 1235. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 1225 1233 1234
% 8.90/9.13 1236. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.13 1237. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1235 488 1236
% 8.90/9.13 1238. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 715 1237 259
% 8.90/9.13 1239. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1238 692 702
% 8.90/9.13 1240. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=)
% 8.90/9.13 1241. ((op (e2) (e0)) = (e0)) ((e0) != (op (e2) (e0))) ### Sym(=)
% 8.90/9.13 1242. ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) = (e0)) ### TransEq 1240 1241 85
% 8.90/9.13 1243. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 715 1235 259
% 8.90/9.13 1244. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 715 915 259
% 8.90/9.13 1245. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 1243 1244 1232
% 8.90/9.13 1246. ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1245 1131 702
% 8.90/9.13 1247. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 685 1239 1246
% 8.90/9.13 1248. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 715 1225 259
% 8.90/9.13 1249. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.13 1250. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1248 488 1249
% 8.90/9.13 1251. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1250 1244 488
% 8.90/9.13 1252. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1251 692 332
% 8.90/9.13 1253. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=)
% 8.90/9.13 1254. ((op (e0) (e2)) = (e1)) ((e1) != (op (e0) (e2))) ### Sym(=)
% 8.90/9.13 1255. ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e1)) ### TransEq-sym 1253 1254 57
% 8.90/9.13 1256. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 1255 1248 1244 488
% 8.90/9.13 1257. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1256 1244 1233
% 8.90/9.13 1258. ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1257 1131 702
% 8.90/9.13 1259. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 685 1252 1258
% 8.90/9.13 1260. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1182 685 1247 1259
% 8.90/9.13 1261. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1260 688 251 729
% 8.90/9.13 1262. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != 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(e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) 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(((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ 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(e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) 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!= (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 576 588 1261
% 8.90/9.13 1263. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.13 1264. 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/\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1170 1262 746 1263
% 8.90/9.13 1265. ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 226 1264 1209
% 8.90/9.14 1266. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.14 1267. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 311 488 1266
% 8.90/9.14 1268. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e0)) ### DisjTree 1265 1267 920 1209
% 8.90/9.14 1269. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 750 398 588 259
% 8.90/9.14 1270. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 8.90/9.14 1271. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1163 1269 443 1270
% 8.90/9.14 1272. ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 192 1264 1271
% 8.90/9.14 1273. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e2) (e3)) = (e3)) ### DisjTree 1272 311 601 1271
% 8.90/9.14 1274. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.14 1275. ((op (e2) (e3)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1273 488 1274
% 8.90/9.14 1276. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.14 1277. 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e2) (e3)) = (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 1275 1229 1276
% 8.90/9.14 1278. ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 715 915 1277
% 8.90/9.14 1279. ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1268 1278 1232
% 8.90/9.14 1280. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.14 1281. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 332 1233 1280
% 8.90/9.14 1282. 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(op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != 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\/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1279 692 1281
% 8.90/9.14 1283. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.14 1284. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e2)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1282 488 1283
% 8.90/9.15 1285. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 8.90/9.15 1286. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1189 311 601 398
% 8.90/9.15 1287. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.15 1288. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1286 488 1287
% 8.90/9.15 1289. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e2) != (e3)) ((op (e0) (e3)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 1136 171 1215
% 8.90/9.15 1290. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e3)) = (e3)) ((e2) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1289 349 601 1215
% 8.90/9.15 1291. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.15 1292. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 1225 1290 1291
% 8.90/9.15 1293. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.15 1294. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1292 488 1293
% 8.90/9.15 1295. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 715 1294 259
% 8.90/9.15 1296. ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1295 692 702
% 8.90/9.15 1297. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 715 1292 259
% 8.90/9.15 1298. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 715 1290 259
% 8.90/9.15 1299. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e3)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1298 1229 488
% 8.90/9.15 1300. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((e0) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1297 1244 1299
% 8.90/9.15 1301. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e1) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1300 692 702
% 8.90/9.15 1302. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 685 1296 1301
% 8.90/9.15 1303. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) ((op (e3) (e3)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 572 1288 1163 1302
% 8.90/9.15 1304. ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1189 349 678 1303
% 8.90/9.15 1305. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.15 1306. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 332 1304 1305
% 8.90/9.15 1307. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.15 1308. ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1306 488 1307
% 8.90/9.15 1309. 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(op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) 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(e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e0) != (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1284 1285 1308 601
% 8.90/9.15 1310. ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1221 692 1309
% 8.90/9.15 1311. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1218 1206
% 8.90/9.15 1312. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=)
% 8.90/9.15 1313. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=)
% 8.90/9.15 1314. ((e0) != (e1)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e1)) ### TransEq-sym 1312 1313 57
% 8.90/9.15 1315. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1314 1206
% 8.90/9.15 1316. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ 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(e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != 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(e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e3)) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1216 1206
% 8.90/9.15 1317. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. 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((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ 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(e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1311 1315 1316
% 8.90/9.16 1318. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1189 311 601 357
% 8.90/9.16 1319. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1306 1318
% 8.90/9.16 1320. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1317 1131 1319
% 8.90/9.16 1321. ((e1) != (e3)) ((op (e1) (e0)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ 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(e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != 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(op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 685 1310 1320
% 8.90/9.16 1322. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ 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((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op 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(e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) 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(e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1210 1206
% 8.90/9.16 1323. 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1207 349 678 1215
% 8.90/9.16 1324. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e1)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ 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(e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) 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(e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 160 1323 1206
% 8.90/9.16 1325. 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(e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 1322 1315 1324
% 8.90/9.16 1326. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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(e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 1325 1131 332
% 8.90/9.16 1327. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.16 1328. 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(e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1326 488 1327
% 8.90/9.16 1329. ((op (e0) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = 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/\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ 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(e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1182 685 1321 1328
% 8.90/9.16 1330. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e1)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 1252 1244 1299
% 8.90/9.17 1331. ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 1330 1131 332
% 8.90/9.17 1332. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 685 1252 1331
% 8.90/9.17 1333. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 685 1302 1332
% 8.90/9.17 1334. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1333 688 251 471
% 8.90/9.17 1335. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != 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(e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ### DisjTree 1329 271 248 1334
% 8.90/9.17 1336. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 239 1335 1174
% 8.90/9.17 1337. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 8.90/9.17 1338. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.17 1339. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 308 1138 488 1338
% 8.90/9.17 1340. ((e0) != (e1)) ((op (e3) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 703 1121 1337 1339
% 8.90/9.17 1341. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((e2) != (e3)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 271 698 1340
% 8.90/9.17 1342. ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op 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(e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1179 1336 151 1341
% 8.90/9.17 1343. ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. 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(e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1124 292 1142
% 8.90/9.17 1344. ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. 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(e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1124 292 1340
% 8.90/9.17 1345. 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(e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e1)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ### DisjTree 1343 766 151 1344
% 8.90/9.17 1346. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1197 311 601 398
% 8.90/9.17 1347. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 8.90/9.17 1348. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 1346 488 1347
% 8.90/9.17 1349. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) 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(e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e2)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ### DisjTree 1143 1342 1345 1348
% 8.90/9.18 1350. ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((e1) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### ConjTree 1349
% 8.90/9.18 1351. (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 313 46 48 50 52 54 59 61 63 1082 136 138 1083 412 414 416 418 558 425 427 429 430 432 434 436 438 643 444 446 448 450 452 454 456 1108 463 1119 466 682 1350 474 476 478 480 482 484
% 8.90/9.18 1352. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) 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(e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### Or 1351 485
% 8.90/9.18 1353. ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 1036 1352 709
% 8.90/9.18 1354. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1036 151 709
% 8.90/9.18 1355. ((e1) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e3)) ### DisjTree 1353 766 1354 345
% 8.90/9.18 1356. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.90/9.18 1357. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 8.90/9.18 1358. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 101 1357 792
% 8.90/9.18 1359. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((e0) != (e1)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ### DisjTree 784 1358 369 1006
% 8.90/9.18 1360. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 1356 101 1359
% 8.90/9.18 1361. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1360 292 287
% 8.90/9.18 1362. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 778 504 1361
% 8.90/9.18 1363. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1031 1355 1362 398
% 8.90/9.18 1364. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. 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(e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) 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(((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 1363
% 8.90/9.19 1365. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.90/9.19 1366. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom
% 8.90/9.19 1367. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 651 617 72 1366
% 8.90/9.19 1368. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) = (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e3)) ((e0) != (e1)) ((op (e1) (e3)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1365 1367 87
% 8.90/9.19 1369. ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = 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(e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e0) != (e1)) ((op (e1) (e1)) = (e3)) ((e1) != (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1368 1352 709
% 8.90/9.19 1370. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.90/9.19 1371. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 8.90/9.19 1372. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 248 329 1371 471
% 8.90/9.19 1373. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom
% 8.90/9.19 1374. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e3)) ((op (e2) (e2)) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (e1)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 759 617 1372 1373
% 8.90/9.19 1375. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 8.90/9.19 1376. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ### DisjTree 248 1131 1375 471
% 8.90/9.19 1377. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e2)) != (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 1376 121 658
% 8.90/9.19 1378. ((op (e1) (e3)) != (e1)) ((op (e1) (e3)) = (e1)) ### Axiom
% 8.90/9.19 1379. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (e1)) ((e1) != (e3)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((e1) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1377 818 1372 1378
% 8.90/9.19 1380. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e1) (e3)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) 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/\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 1370 1374 1379
% 8.90/9.19 1381. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 8.90/9.19 1382. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 715 1381 259
% 8.90/9.19 1383. 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(e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = 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(e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1380 248 1382
% 8.90/9.19 1384. ((op (e2) (e2)) != (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. 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(((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (-. 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(e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1369 1383 663
% 8.90/9.19 1385. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e3) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e2)) != (e0)) ### ConjTree 1384
% 8.90/9.19 1386. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e3) (e0)) = (e3)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 44 315 48 50 52 54 59 61 63 971 409 138 998 412 414 416 418 420 1027 427 429 1364 432 434 436 438 439 1385 446 448 450 452 669 456 461 463 464 466 763 472 474 476 478 480 482 484
% 8.90/9.19 1387. ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e1) != (e2)) ((op (e0) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) 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/\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op 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(e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 958 849 1386
% 8.90/9.20 1388. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 897 1387
% 8.90/9.20 1389. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.90/9.20 1390. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.90/9.20 1391. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 8.90/9.20 1392. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e1)) ### DisjTree 949 883 101 530
% 8.90/9.20 1393. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 101 530
% 8.90/9.20 1394. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 8.90/9.20 1395. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) ### DisjTree 1394 160 850 187
% 8.90/9.20 1396. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 232 515 1395 942
% 8.90/9.20 1397. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 1396 947 203
% 8.90/9.20 1398. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1393 1397 121 266
% 8.90/9.20 1399. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) 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(e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 943 524 101 530
% 8.90/9.20 1400. ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. 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(e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = 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/\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1398 178 1400 498
% 8.90/9.20 1402. ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. 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(e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = 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/\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 1392 72 1401
% 8.90/9.20 1403. ((e1) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) = (e2)) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1390 1391 1402 207
% 9.00/9.20 1404. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.00/9.20 1405. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.00/9.20 1406. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op 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(e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 955 524 101 530
% 9.00/9.21 1407. 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/\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ 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(e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1406 883 121 124
% 9.00/9.21 1408. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 321 1407 834 192
% 9.00/9.21 1409. 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/\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ 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(e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1404 1405 1408 207
% 9.00/9.21 1410. ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (-. 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(e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op 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(e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) 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(e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1389 1403 1409
% 9.00/9.21 1411. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.00/9.21 1412. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.00/9.21 1413. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.00/9.21 1414. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 849 883 101 530
% 9.00/9.21 1415. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e2)) ((op (e2) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 849 1396 101 530
% 9.00/9.21 1416. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e1) != (e3)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1398 178 1415 498
% 9.00/9.21 1417. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 1414 835 1416
% 9.00/9.21 1418. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1412 1413 1417 207
% 9.00/9.21 1419. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.00/9.21 1420. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.00/9.21 1421. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ### DisjTree 670 1414 835 192
% 9.00/9.21 1422. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1419 1420 1421 207
% 9.00/9.21 1423. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1411 1418 1422
% 9.00/9.21 1424. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op 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(e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) = (e2)) ((op (e0) (e1)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1410 1423 461
% 9.00/9.21 1425. ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) != (op (e2) (e1))) (-. 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(e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 248 1424
% 9.00/9.21 1426. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.00/9.21 1427. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.00/9.21 1428. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.00/9.21 1429. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) = (e1)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) 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(((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e0)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 1429 281 854
% 9.00/9.22 1431. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. 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((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ 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(e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != 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(e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) = (e0)) ### DisjTree 1430 524 101 530
% 9.00/9.22 1432. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1103 101 867 663
% 9.00/9.22 1433. 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(e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) 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(e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e0)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1431 883 1432 588
% 9.00/9.22 1434. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 9.00/9.22 1435. ((op (e2) (e1)) != (op (e2) (e1))) ### Refl(=)
% 9.00/9.22 1436. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=)
% 9.00/9.22 1437. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) = (e2)) ### TransEq-sym 1434 1435 1436
% 9.00/9.22 1438. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1103 1437 1395 663
% 9.00/9.22 1439. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 338 1438 281 203
% 9.00/9.22 1440. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ### DisjTree 1439 654 878 993
% 9.00/9.22 1441. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1432 654 878 993
% 9.00/9.22 1442. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 1441 101 530
% 9.00/9.22 1443. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1393 1440 1442 588
% 9.00/9.22 1444. ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1429 1439 101 530
% 9.00/9.22 1445. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) 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((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1443 178 1444 498
% 9.00/9.22 1446. ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ 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% 9.00/9.22 1447. 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(e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1427 1428 1446 207
% 9.00/9.23 1448. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1426 1447 895
% 9.00/9.23 1449. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.00/9.23 1450. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.00/9.23 1451. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.00/9.23 1452. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1438 654 878 993
% 9.00/9.23 1453. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 849 1452 101 530
% 9.00/9.23 1454. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (e0)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1443 178 1453 498
% 9.00/9.23 1455. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 321 1414 72 1454
% 9.00/9.23 1456. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) = (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (e0)) ### DisjTree 1450 1451 1455 207
% 9.00/9.23 1457. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 1449 1456 1422
% 9.00/9.23 1458. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != 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(e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op 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(e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 1448 1457 461
% 9.00/9.23 1459. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 1458 287
% 9.00/9.23 1460. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 1388 1425 1459
% 9.00/9.23 1461. ((e1) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### ConjTree 1460
% 9.00/9.23 1462. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom
% 9.00/9.23 1463. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ### ConjTree 946
% 9.00/9.23 1464. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 1462 1463 942
% 9.00/9.23 1465. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 1110 1464
% 9.00/9.23 1466. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=)
% 9.00/9.23 1467. ((op (e0) (e1)) = (e2)) ((e2) != (op (e0) (e1))) ### Sym(=)
% 9.00/9.23 1468. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) = (e2)) ### TransEq-sym 1466 1467 57
% 9.00/9.23 1469. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.00/9.23 1470. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom
% 9.00/9.23 1471. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1470 850 942
% 9.00/9.23 1472. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 1469 1471 207
% 9.00/9.23 1473. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 545 1110 1472
% 9.00/9.23 1474. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1465 1111 1473
% 9.00/9.23 1475. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom
% 9.00/9.23 1476. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e2) (e1)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ### DisjTree 1119 1475 111 942
% 9.00/9.23 1477. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 1110 1476
% 9.00/9.23 1478. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 245 1110 287
% 9.00/9.23 1479. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 1474 1477 1478
% 9.00/9.23 1480. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e1)) != (e2)) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e1)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 271 1110 1476
% 9.00/9.23 1481. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 239 1480 1478
% 9.00/9.23 1482. ((e0) != (e2)) ((op (e0) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1479 1481 1116 1117
% 9.00/9.24 1483. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((e1) != (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### ConjTree 1482
% 9.00/9.24 1484. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 694 248 703
% 9.00/9.24 1485. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 9.00/9.24 1486. ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1484 883 1485 1140
% 9.00/9.24 1487. ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 135 1124 698 1486
% 9.00/9.24 1488. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1162 545 698 287
% 9.00/9.24 1489. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e2) != (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 524 1178 1488
% 9.00/9.24 1490. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 302 1487 1489
% 9.00/9.24 1491. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1162 271 698 287
% 9.00/9.24 1492. ((op (e0) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 524 1342 1491
% 9.00/9.24 1493. ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e2)) = (e3)) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 302 1487 1492
% 9.00/9.24 1494. ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = 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(e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e0)) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1172 1124 292 287
% 9.00/9.24 1495. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (-. 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(e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 58 302 504 1494
% 9.00/9.24 1496. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e0)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e2)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. 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(e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((e0) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 1490 1493 1495 1348
% 9.00/9.25 1497. ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. 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(((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### ConjTree 1496
% 9.00/9.25 1498. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. 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(((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### DisjTree 2 4 6 8 10 12 17 18 20 25 27 28 30 35 36 38 40 42 44 46 48 50 52 54 59 61 63 132 136 138 556 412 414 416 418 558 625 427 429 817 432 434 436 438 643 826 446 448 450 452 669 456 1461 463 1483 466 682 1497 474 476 478 480 482 484
% 9.00/9.25 1499. ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e2) (e2)) != (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### Or 1498 1386
% 9.00/9.25 1500. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) ### Or 1499 1352
% 9.00/9.25 1501. (((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### Or 1500 766
% 9.00/9.25 1502. (((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) 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(e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != 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(((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ### ConjTree 1501
% 9.00/9.25 1503. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.00/9.25 1504. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) != (e1)) ### ConjTree 1503
% 9.00/9.25 1505. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.25 1506. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e3)) != (e1)) ### ConjTree 1505
% 9.00/9.25 1507. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ### ConjTree 883
% 9.00/9.25 1508. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.00/9.25 1509. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.00/9.25 1510. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.00/9.25 1511. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.00/9.25 1512. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 9.00/9.25 1513. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 9.00/9.25 1514. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=)
% 9.00/9.25 1515. ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 1512 1513 1514
% 9.00/9.25 1516. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 1515
% 9.00/9.25 1517. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 9.00/9.25 1518. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 9.00/9.25 1519. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=)
% 9.00/9.25 1520. ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 1517 1518 1519
% 9.00/9.25 1521. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 1520
% 9.00/9.25 1522. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 1520
% 9.00/9.25 1523. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 783
% 9.00/9.25 1524. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 783
% 9.00/9.25 1525. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 77
% 9.00/9.25 1526. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 77
% 9.00/9.25 1527. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 178
% 9.00/9.25 1528. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 9.00/9.25 1529. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 9.00/9.25 1530. ((op (e0) (e1)) = (e0)) ((e0) != (op (e0) (e1))) ### Sym(=)
% 9.00/9.25 1531. ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) = (e0)) ### TransEq-sym 1528 1529 1530
% 9.00/9.25 1532. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### ConjTree 1531
% 9.00/9.25 1533. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 9.00/9.25 1534. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 9.00/9.25 1535. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=)
% 9.00/9.25 1536. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 1533 1534 1535
% 9.00/9.25 1537. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 9.00/9.25 1538. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.25 1539. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.25 1540. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=)
% 9.00/9.25 1541. ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) = (e0)) ### TransEq-sym 1538 1539 1540
% 9.00/9.25 1542. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 1536 1537 1541
% 9.00/9.25 1543. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### ConjTree 1542
% 9.00/9.25 1544. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom
% 9.00/9.25 1545. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e1)) = (e0)) ### ConjTree 1544
% 9.00/9.25 1546. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.25 1547. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e3)) != (e1)) ### ConjTree 1546
% 9.00/9.25 1548. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 9.00/9.25 1549. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 9.00/9.25 1550. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=)
% 9.00/9.25 1551. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq 1548 1549 1550
% 9.00/9.25 1552. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom
% 9.00/9.25 1553. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) = (e2)) ### ConjTree 1552
% 9.00/9.25 1554. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ### ConjTree 1437
% 9.00/9.25 1555. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 424
% 9.00/9.25 1556. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=)
% 9.00/9.25 1557. ((op (e2) (e3)) != (op (e2) (e3))) ### Refl(=)
% 9.00/9.25 1558. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=)
% 9.00/9.25 1559. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) = (e2)) ### TransEq-sym 1556 1557 1558
% 9.00/9.25 1560. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1559
% 9.00/9.25 1561. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1559
% 9.00/9.25 1562. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ### ConjTree 888
% 9.00/9.25 1563. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 380 617 197 460
% 9.00/9.25 1564. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### ConjTree 1563
% 9.00/9.25 1565. ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (e0)) ### Axiom
% 9.00/9.25 1566. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e1)) = (e0)) ### ConjTree 1565
% 9.00/9.25 1567. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom
% 9.00/9.25 1568. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e1)) = (e2)) ### ConjTree 1567
% 9.00/9.25 1569. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.25 1570. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.25 1571. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=)
% 9.00/9.25 1572. ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e0)) = (e0)) ### TransEq-sym 1569 1570 1571
% 9.00/9.25 1573. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.25 1574. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.00/9.25 1575. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 1168
% 9.00/9.25 1576. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ### DisjTree 1572 1573 1574 1575
% 9.00/9.25 1577. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.25 1578. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.25 1579. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=)
% 9.00/9.25 1580. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq-sym 1577 1578 1579
% 9.00/9.25 1581. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.25 1582. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.00/9.25 1583. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 1580 1581 1582 1575
% 9.00/9.25 1584. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom
% 9.00/9.25 1585. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e1)) = (e3)) ### ConjTree 1584
% 9.00/9.25 1586. ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (e3)) ### Axiom
% 9.00/9.25 1587. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e1)) = (e3)) ### ConjTree 1586
% 9.00/9.25 1588. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 460
% 9.00/9.25 1589. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=)
% 9.00/9.25 1590. ((op (e3) (e2)) != (op (e3) (e2))) ### Refl(=)
% 9.00/9.25 1591. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=)
% 9.00/9.25 1592. ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 1589 1590 1591
% 9.00/9.25 1593. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e1)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 1592
% 9.00/9.25 1594. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = 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(op (e2) (e1))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) = (e2)) ### DisjTree 2 4 6 8 10 12 1553 1585 20 1554 27 1516 30 1521 1522 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1532 418 1555 1545 427 429 1587 432 434 436 438 1560 1561 446 448 450 1562 1588 456 1566 463 1568 466 1593 1121 474 476 478 480 482 484
% 9.00/9.25 1595. 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((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ### DisjTree 1580 568 964 1594
% 9.00/9.26 1596. 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(e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1576 1583 488 1595
% 9.00/9.26 1597. 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(((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op 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(e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1596
% 9.00/9.26 1598. 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(e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) != (e1)) ((op (e2) (e1)) = (e2)) ### DisjTree 2 4 6 8 10 12 1553 1506 20 1554 27 1516 30 1521 1522 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1532 418 1555 1545 427 429 1547 432 434 436 438 1560 1561 446 448 450 1562 1564 456 1566 463 1568 466 1597 1121 474 476 478 480 482 484
% 9.00/9.26 1599. 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(e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### Or 1598 1594
% 9.00/9.26 1600. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 720 121 878
% 9.00/9.26 1601. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.00/9.26 1602. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 530 698 1188
% 9.00/9.26 1603. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.00/9.26 1604. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1602 1600 1603 601
% 9.00/9.26 1605. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e2)) != (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 1601 1604
% 9.00/9.26 1606. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1600 1605
% 9.00/9.26 1607. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op 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(e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = 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/\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ 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= (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1599 1606
% 9.00/9.26 1608. 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\/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ 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(e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1607 658
% 9.00/9.26 1609. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 9.00/9.26 1610. ((e1) != (op (e0) (op (e0) (e0)))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1152 71
% 9.00/9.26 1611. ((op (e0) (op (e0) (e0))) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans 1152 71
% 9.00/9.26 1612. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) ### NotEqual 1611 57
% 9.00/9.26 1613. ((e2) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### Trans-sym 1612 85
% 9.00/9.26 1614. (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ### DisjTree 1609 1610 1613
% 9.00/9.26 1615. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 121 658
% 9.00/9.26 1616. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. 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(e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != 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(e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) 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= (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1608 1468 1615 1157
% 9.00/9.26 1617. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((e1) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 197 867 746
% 9.00/9.26 1618. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.26 1619. 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(e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != 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\/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ 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(e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1616 178 1617 1618
% 9.00/9.26 1620. 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(e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1599 530
% 9.00/9.26 1621. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op 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(e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != 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((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op 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(e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 380 617 1619 1620
% 9.00/9.26 1622. 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(e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1621 658
% 9.00/9.27 1623. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom
% 9.00/9.27 1624. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.27 1625. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1615 192 746 1624
% 9.00/9.27 1626. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=)
% 9.00/9.27 1627. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=)
% 9.00/9.27 1628. ((e0) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) = (e0)) ### TransEq 1626 1627 185
% 9.00/9.27 1629. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e0)) ((e0) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 530 692 1628
% 9.00/9.27 1630. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1623 1625 646 1629
% 9.00/9.27 1631. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.27 1632. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 993 746 1631
% 9.00/9.27 1633. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1630 1632
% 9.00/9.27 1634. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1599 1633
% 9.00/9.27 1635. ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 1622 1468 1634 1157
% 9.00/9.27 1636. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 9.00/9.27 1637. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom
% 9.00/9.27 1638. ((op (e0) (op (e0) (e0))) != (op (e0) (e2))) ((op (e0) (e0)) = (e2)) ### NotEqual 57 1637
% 9.00/9.27 1639. ((e1) != (op (e0) (op (e0) (e0)))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1638 71
% 9.00/9.27 1640. ((op (e0) (op (e0) (e0))) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans 1638 71
% 9.00/9.27 1641. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) ### NotEqual 1640 57
% 9.00/9.27 1642. ((e3) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e1) (e0)) = (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1641 185
% 9.00/9.27 1643. (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ### DisjTree 1636 1639 1642
% 9.00/9.27 1644. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom
% 9.00/9.27 1645. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 728 601
% 9.00/9.27 1646. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 141 783 1645 308
% 9.00/9.27 1647. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 530 1646 1188
% 9.00/9.27 1648. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1600 1647
% 9.00/9.27 1649. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1560 1648
% 9.00/9.27 1650. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1649 658
% 9.00/9.27 1651. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1650 1468 1615 1157
% 9.00/9.27 1652. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.27 1653. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1651 192 746 1652
% 9.00/9.27 1654. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1644 1653 646 1629
% 9.00/9.27 1655. ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1654 1632
% 9.00/9.27 1656. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1560 1655
% 9.00/9.27 1657. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 9.00/9.27 1658. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 9.00/9.27 1659. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=)
% 9.00/9.27 1660. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 1657 1658 1659
% 9.00/9.27 1661. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom
% 9.00/9.27 1662. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 9.00/9.27 1663. ((e3) != (op (e0) (op (e0) (e0)))) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1638 185
% 9.00/9.27 1664. ((op (e0) (op (e0) (e0))) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans 1638 185
% 9.00/9.27 1665. ((op (op (e0) (op (e0) (e0))) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e3)) ### NotEqual 1664 57
% 9.00/9.27 1666. ((e1) != (op (op (e0) (op (e0) (e0))) (e0))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### Trans-sym 1665 71
% 9.00/9.27 1667. (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) = (e3)) ((op (e0) (e0)) = (e2)) ### DisjTree 1662 1663 1666
% 9.00/9.27 1668. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 926 720 1615 878
% 9.00/9.27 1669. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.00/9.27 1670. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1667 1668 1669 488
% 9.00/9.27 1671. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.27 1672. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) ((e0) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 1670 192 746 1671
% 9.00/9.27 1673. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1661 1672 646 1629
% 9.00/9.27 1674. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1656 1660 1673 1629
% 9.00/9.27 1675. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom
% 9.00/9.27 1676. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 783 1656 308
% 9.00/9.27 1677. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1676 1660 1672 1629
% 9.00/9.27 1678. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 515 867 646
% 9.00/9.27 1679. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e3) (e1)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ### DisjTree 1675 1677 1678 1629
% 9.00/9.27 1680. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.00/9.27 1681. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1674 1679 1680 746
% 9.00/9.27 1682. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 1681 1632
% 9.00/9.27 1683. (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 883 1560 1682
% 9.00/9.27 1684. ((e0) != (e2)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1683 658
% 9.00/9.27 1685. ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1684 1468 1634 663
% 9.00/9.27 1686. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. 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(e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (e0)) ((op (e0) (e2)) = (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 783 1635 1685
% 9.00/9.27 1687. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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= (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1608 1468 1615 404
% 9.00/9.28 1688. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e3)) != (e0)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. 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\/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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(((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 147 1686 1687
% 9.00/9.28 1689. ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. 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(e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1688
% 9.00/9.28 1690. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=)
% 9.00/9.28 1691. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=)
% 9.00/9.28 1692. ((e0) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e3) (e0)) = (e0)) ### TransEq 1690 1691 185
% 9.00/9.28 1693. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 9.00/9.28 1694. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1692 1660 839 1693
% 9.00/9.28 1695. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 1694
% 9.00/9.28 1696. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.00/9.28 1697. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) != (e1)) ### ConjTree 1696
% 9.00/9.28 1698. 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(e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 1597 867 1632
% 9.00/9.28 1699. 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% 9.00/9.28 1700. 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(e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1242 1596 867 1632
% 9.00/9.28 1701. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 692 1700
% 9.00/9.28 1702. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 9.00/9.28 1703. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.28 1704. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.28 1705. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=)
% 9.00/9.28 1706. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) = (e0)) ### TransEq-sym 1703 1704 1705
% 9.00/9.28 1707. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.28 1708. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.00/9.28 1709. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ### DisjTree 1706 1707 1708 1575
% 9.00/9.28 1710. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.00/9.28 1711. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.00/9.28 1712. (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ### DisjTree 1541 1710 1711 492
% 9.00/9.28 1713. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 572 720 588 1712
% 9.00/9.28 1714. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1520 1709 1713 1595
% 9.00/9.28 1715. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.28 1716. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.00/9.28 1717. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=)
% 9.00/9.28 1718. ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) = (e0)) ### TransEq-sym 1715 1716 1717
% 9.00/9.28 1719. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 72 946 601
% 9.00/9.28 1720. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e3)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 1718 1719 588 702
% 9.00/9.28 1721. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1576 1583 488 1720
% 9.00/9.28 1722. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e3)) = (e3)) ((op (e1) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) = (e0)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 1714 1721 1632
% 9.00/9.28 1723. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 9.00/9.28 1724. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 9.00/9.28 1725. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=)
% 9.00/9.28 1726. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) ((op (e2) (e2)) = (e0)) ### TransEq 1723 1724 1725
% 9.00/9.28 1727. 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/\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ 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(e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (e0)) ### DisjTree 1702 1722 1726 488
% 9.00/9.28 1728. 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(e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 692 1727
% 9.00/9.28 1729. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (e0)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) 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(e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1701 1728
% 9.00/9.29 1730. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 9.00/9.29 1731. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 308 1583 488 1720
% 9.00/9.29 1732. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e2)) = (e0)) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1242 197 1731 658
% 9.00/9.29 1733. 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/\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op 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(e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 380 617 1732 1620
% 9.11/9.29 1734. 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(e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e2)) != (e0)) ### DisjTree 1730 1733 1726 488
% 9.11/9.29 1735. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 692 1734
% 9.11/9.29 1736. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e3) (e0)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e2)) != (e0)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1701 1735
% 9.11/9.29 1737. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 692 702
% 9.11/9.29 1738. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ 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(e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 1736 380 1667 1737
% 9.11/9.29 1739. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. 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/\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 141 783 1729 1738
% 9.11/9.29 1740. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 9.11/9.29 1741. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 101 1721 1632
% 9.11/9.29 1742. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=)
% 9.11/9.29 1743. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=)
% 9.11/9.29 1744. ((e0) != (e2)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) = (e2)) ### TransEq-sym 1742 1743 57
% 9.11/9.29 1745. 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(e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 1597 1744 1632
% 9.11/9.29 1746. 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(e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) 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(e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (e0)) ### DisjTree 1740 1741 1745 488
% 9.12/9.29 1747. 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(e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op 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(e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 1739 1746 1745 1713
% 9.12/9.29 1748. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ 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(e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 692 1747
% 9.12/9.30 1749. (-. 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((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 1699 1748
% 9.12/9.30 1750. 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(e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1749 380 698 1737
% 9.12/9.30 1751. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 9.12/9.30 1752. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.12/9.30 1753. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 72 1752 601
% 9.12/9.30 1754. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 1314 601
% 9.12/9.30 1755. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (e0)) ### DisjTree 1751 1753 1754 488
% 9.12/9.30 1756. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ 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(e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) 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(e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 141 147 1750 1755
% 9.12/9.30 1757. 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!= (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1756
% 9.12/9.30 1758. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != 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\/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ 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(e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) != (e1)) ### DisjTree 2 4 6 8 10 12 1504 1506 20 1507 27 1516 30 1521 1522 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1532 418 1543 1545 427 429 1547 432 434 436 438 1689 818 446 448 450 1562 1695 456 1566 463 1697 466 1757 1121 474 476 478 480 482 484
% 9.12/9.30 1759. ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### Or 1758 1620
% 9.12/9.30 1760. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) = (e0)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ### Or 1759 1599
% 9.13/9.30 1761. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.30 1762. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 101 767
% 9.13/9.30 1763. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.30 1764. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.30 1765. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.30 1766. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 1620 888 101 207
% 9.13/9.30 1767. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 9.13/9.30 1768. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ### ConjTree 1059
% 9.13/9.30 1769. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op 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(e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 1766 1767 1768
% 9.13/9.31 1770. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.31 1771. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.31 1772. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1770 1771 377
% 9.13/9.31 1773. 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(e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ 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/\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ 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(e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1769 1060 1772
% 9.13/9.31 1774. 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\/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1773 248 383
% 9.13/9.31 1775. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 9.13/9.31 1776. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 709 207 1775 1059
% 9.13/9.31 1777. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 101 1776
% 9.13/9.31 1778. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1765 1774 151 1777
% 9.13/9.31 1779. 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 1764 778 1778 404
% 9.13/9.31 1780. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.31 1781. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 9.13/9.31 1782. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 345 207 1781 1768
% 9.13/9.31 1783. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 888 101 1782
% 9.13/9.31 1784. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=)
% 9.13/9.31 1785. ((op (e0) (e2)) = (e3)) ((e3) != (op (e0) (e2))) ### Sym(=)
% 9.13/9.31 1786. ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) = (e3)) ### TransEq-sym 1784 1785 57
% 9.13/9.31 1787. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1783 1786 383
% 9.13/9.31 1788. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1780 1787 424 1777
% 9.13/9.31 1789. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) 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\/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ 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((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 1763 1182 1779 1788
% 9.13/9.31 1790. 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(e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1761 1762 1255 1789
% 9.13/9.31 1791. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 9.13/9.31 1792. ((op (e0) (e3)) != (op (e0) (e3))) ### Refl(=)
% 9.13/9.31 1793. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=)
% 9.13/9.31 1794. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 1791 1792 1793
% 9.13/9.31 1795. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1794 1625 646 1629
% 9.13/9.31 1796. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. 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\/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 1790 111 1795
% 9.13/9.31 1797. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.31 1798. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.31 1799. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.31 1800. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.31 1801. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 197 111 1625
% 9.13/9.31 1802. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1794 1801 646 1572
% 9.13/9.31 1803. ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 197 111 1802
% 9.13/9.31 1804. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 101 530
% 9.13/9.31 1805. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 1803 1804
% 9.13/9.31 1806. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 1805 605
% 9.13/9.31 1807. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=)
% 9.13/9.31 1808. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=)
% 9.13/9.31 1809. ((e0) != (e2)) ((op (e3) (e3)) = (e0)) ((op (e3) (e3)) = (e2)) ### TransEq-sym 1807 1808 57
% 9.13/9.31 1810. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((e0) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) ### DisjTree 938 940 646 1809
% 9.13/9.31 1811. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e1) != (e3)) ((e0) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ### DisjTree 94 197 111 1810
% 9.13/9.31 1812. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 1811 1804
% 9.13/9.31 1813. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 1812 605
% 9.13/9.31 1814. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1806 271 248 1813
% 9.13/9.31 1815. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 9.13/9.31 1816. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 9.13/9.31 1817. ((e0) != (e2)) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) = (e2)) ### TransEq-sym 1815 1816 57
% 9.13/9.31 1818. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1800 1814 151 1817
% 9.13/9.31 1819. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1157 271 1786 287
% 9.13/9.31 1820. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1799 239 1818 1819
% 9.13/9.31 1821. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1798 783 1820 308
% 9.13/9.31 1822. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.31 1823. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.31 1824. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.31 1825. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.31 1826. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 245 1786 383
% 9.13/9.31 1827. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.31 1828. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 1804 207
% 9.13/9.31 1829. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.31 1830. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 1829 576
% 9.13/9.31 1831. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1827 1828 1255 1830
% 9.13/9.31 1832. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.31 1833. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1832 1826 151 1817
% 9.13/9.31 1834. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 1833 207 926 1809
% 9.13/9.31 1835. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 9.13/9.31 1836. ((op (e2) (e0)) != (op (e2) (e0))) ### Refl(=)
% 9.13/9.31 1837. ((op (e2) (e1)) = (e1)) ((e1) != (op (e2) (e1))) ### Sym(=)
% 9.13/9.31 1838. ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) = (e1)) ### TransEq 1835 1836 1837
% 9.13/9.31 1839. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ### DisjTree 724 1838 222 1161
% 9.13/9.31 1840. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.31 1841. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 1834 1839 1840 576
% 9.13/9.31 1842. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 888 1841 207
% 9.13/9.31 1843. ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1842 245 1786 383
% 9.13/9.31 1844. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1825 1826 1831 1843
% 9.13/9.31 1845. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 9.13/9.31 1846. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 1844 1845 1059
% 9.13/9.31 1847. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1846 1060 1692
% 9.13/9.32 1848. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1847 1786 383
% 9.13/9.32 1849. ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1824 1848 151 1817
% 9.13/9.32 1850. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.32 1851. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 245 248 383
% 9.13/9.32 1852. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 9.13/9.32 1853. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 1772 1851 1852 1059
% 9.13/9.32 1854. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1850 1853 1830 1817
% 9.13/9.32 1855. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (e2)) ### DisjTree 1823 1849 1854 404
% 9.13/9.32 1856. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1822 783 1855 308
% 9.13/9.32 1857. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1797 1821 1255 1856
% 9.13/9.32 1858. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 9.13/9.32 1859. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 1772 207 1858 1188
% 9.13/9.32 1860. ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1857 1859 926 1809
% 9.13/9.32 1861. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op 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(e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1796 1860
% 9.13/9.32 1862. 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(e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != 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(e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 101 1861
% 9.13/9.32 1863. 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\/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op 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(e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1796 1859
% 9.13/9.32 1864. 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op 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(e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = 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= (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 1790 1863
% 9.13/9.32 1865. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) 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(e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = 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(e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### DisjTree 1760 888 1862 1864
% 9.13/9.32 1866. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((e0) != (e2)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 1811 530
% 9.13/9.32 1867. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) ((e0) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 767 1866
% 9.13/9.32 1868. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e3)) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e3) (e3)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 1812 1867
% 9.13/9.32 1869. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) 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(e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e0)) = (e2)) ((op (e0) (e1)) = (e1)) ### DisjTree 1865 271 248 1868
% 9.13/9.32 1870. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1777 111 1795
% 9.13/9.32 1871. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1817 1859 926 1809
% 9.13/9.32 1872. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1870 1871
% 9.13/9.33 1873. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 1790 1872
% 9.13/9.33 1874. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 392 1870 1860
% 9.13/9.33 1875. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 1777 1874
% 9.13/9.33 1876. ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) 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% 9.13/9.33 1877. 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(((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 1876 1776
% 9.13/9.33 1878. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e3)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((op (e3) (e2)) != (e3)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 222 1777 111 1810
% 9.13/9.33 1879. ((e0) != (e1)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e2) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op 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/\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e2)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1877 271 1786 1878
% 9.13/9.33 1880. (-. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e2)) ### DisjTree 1511 1869 151 1879
% 9.13/9.33 1881. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1510 239 1880 1819
% 9.13/9.33 1882. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e2)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e0)) != (op (e2) (e0))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 1821 1782 926 1809
% 9.13/9.33 1883. ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = 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(e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 1509 1182 1881 1882
% 9.13/9.33 1884. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.33 1885. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.33 1886. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.33 1887. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1846 1060 1772
% 9.13/9.33 1888. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1887 1786 383
% 9.13/9.33 1889. ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 1855 1776 926 1809
% 9.13/9.33 1890. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1886 1888 151 1889
% 9.13/9.34 1891. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op 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(e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) 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\/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ 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((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 1778 111 658
% 9.13/9.34 1892. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.34 1893. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. 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/\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ 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(e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1891 298 1892 576
% 9.13/9.34 1894. 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(e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = 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(e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1853 883 121 1893
% 9.13/9.34 1895. 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(e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1885 1890 1894 404
% 9.13/9.34 1896. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.34 1897. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.34 1898. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1846 1060 345
% 9.13/9.34 1899. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1898 1786 383
% 9.13/9.34 1900. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.34 1901. ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) = (e2)) ### DisjTree 1889 1839 1900 576
% 9.13/9.34 1902. ((op (e3) (e0)) = (e1)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ### DisjTree 1760 888 1901 1782
% 9.13/9.34 1903. ((op (e3) (e2)) != (e3)) ((op (e3) (e2)) = (e3)) ### Axiom
% 9.13/9.34 1904. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 709 245 1903 1195
% 9.13/9.34 1905. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((op (e3) (e2)) != (e3)) ((e2) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1060 584 154 1904
% 9.13/9.34 1906. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1817 1776 1668 1809
% 9.13/9.34 1907. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 1779 1905 1906
% 9.13/9.34 1908. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.34 1909. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) = (e3)) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1907 298 1908 576
% 9.13/9.34 1910. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op 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(e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1846 617 1909 1871
% 9.13/9.34 1911. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. 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(e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 1910 1846 1060 1772
% 9.13/9.35 1912. 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(((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e2)) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e0)) = (e1)) ### DisjTree 1902 1911 1786 383
% 9.13/9.35 1913. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1897 1899 1830 1912
% 9.13/9.35 1914. 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ 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(e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1896 1913 1894 404
% 9.13/9.35 1915. ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) 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(e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1884 783 1895 1914
% 9.13/9.35 1916. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) = (e0)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. 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((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ### DisjTree 1508 1883 1255 1915
% 9.13/9.35 1917. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.35 1918. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.35 1919. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.35 1920. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.35 1921. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1242 197 111 1795
% 9.13/9.35 1922. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 1921 530
% 9.13/9.35 1923. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e1)) = (e0)) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1922 1859
% 9.13/9.35 1924. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e0) != (e2)) ((op (e2) (e0)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 767 1923
% 9.13/9.35 1925. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 724 1924
% 9.13/9.35 1926. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) = (e2)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 1925 271 248 1868
% 9.13/9.35 1927. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 724 1776
% 9.13/9.35 1928. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1920 1926 151 1927
% 9.13/9.35 1929. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 1919 239 1928 1819
% 9.13/9.35 1930. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 724 1782
% 9.13/9.35 1931. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e3) (e2)) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1918 783 1929 1930
% 9.13/9.35 1932. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.35 1933. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.35 1934. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.35 1935. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=)
% 9.13/9.35 1936. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=)
% 9.13/9.35 1937. ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) = (e3)) ### TransEq-sym 1935 1936 57
% 9.13/9.35 1938. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.35 1939. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.35 1940. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 1938 1939 377
% 9.13/9.35 1941. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1846 1937 1940
% 9.13/9.35 1942. ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1934 1941 1242 1927
% 9.13/9.35 1943. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.35 1944. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (e3)) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1943 1853 151 1927
% 9.13/9.35 1945. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e0)) != (e2)) ### DisjTree 1933 1942 1944 404
% 9.13/9.35 1946. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1932 783 1945 1930
% 9.13/9.35 1947. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1917 1931 1255 1946
% 9.13/9.35 1948. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. 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((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1916 1947 1857
% 9.13/9.36 1949. 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(((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e2)) != (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e2)) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 1948
% 9.13/9.36 1950. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ### ConjTree 617
% 9.13/9.36 1951. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.36 1952. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.36 1953. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 199 530
% 9.13/9.36 1954. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((op (e2) (e0)) = (e1)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 1762 1953
% 9.13/9.36 1955. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.36 1956. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1955 271 1667 938
% 9.13/9.36 1957. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.36 1958. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 1957 271 248 938
% 9.13/9.36 1959. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=)
% 9.13/9.36 1960. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=)
% 9.13/9.36 1961. ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e2)) ### TransEq-sym 1959 1960 57
% 9.13/9.36 1962. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e2) != (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((op (e0) (e1)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 1956 239 1958 1961
% 9.13/9.36 1963. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 1952 783 1954 1962
% 9.13/9.36 1964. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.36 1965. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.36 1966. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.36 1967. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 1965 1643 1966
% 9.13/9.36 1968. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ### ConjTree 154
% 9.13/9.36 1969. ((op (e2) (e3)) != (e2)) ((op (e2) (e3)) = (e2)) ### Axiom
% 9.13/9.36 1970. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 251 101 1968 1969
% 9.13/9.36 1971. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e3)) != (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1937 1970 915 572
% 9.13/9.36 1972. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.13/9.36 1973. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 345 568 920 1972
% 9.13/9.36 1974. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 1964 1967 1971 1973
% 9.13/9.36 1975. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=)
% 9.13/9.36 1976. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=)
% 9.13/9.36 1977. ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) = (e1)) ### TransEq-sym 1975 1976 57
% 9.13/9.36 1978. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (e2)) ((op (e2) (e2)) = (e3)) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1951 1963 1974 1977
% 9.13/9.36 1979. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 1978
% 9.13/9.36 1980. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ### ConjTree 888
% 9.13/9.36 1981. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.36 1982. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 9.13/9.36 1983. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.36 1984. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 843
% 9.13/9.36 1985. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (e0)) ### DisjTree 1982 1983 1984 171
% 9.13/9.36 1986. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 1981 1985
% 9.13/9.36 1987. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 888 1986 1706
% 9.13/9.36 1988. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.36 1989. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom
% 9.13/9.36 1990. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.36 1991. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.36 1992. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.36 1993. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.36 1994. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) = (e0)) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1891 1839 1993 576
% 9.13/9.36 1995. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e1)) = (e0)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 121 1994
% 9.13/9.36 1996. (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) 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(e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != 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(e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 1995 1776
% 9.13/9.36 1997. 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(e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ 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(((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op 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(e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e0) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e3)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1996 245 248 383
% 9.13/9.36 1998. 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(e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op 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\/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1992 1826 1830 1997
% 9.13/9.36 1999. 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/\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 1991 1844 1998 404
% 9.13/9.36 2000. ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op 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(e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 1990 1828 1255 1999
% 9.13/9.37 2001. 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/\ ((op (e3) (e2)) != (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = 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(((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 2000
% 9.13/9.37 2002. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.37 2003. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.37 2004. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 2003 245 292 938
% 9.13/9.37 2005. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2002 1828 2004 1977
% 9.13/9.37 2006. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2005
% 9.13/9.37 2007. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.37 2008. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.37 2009. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 151 298 2008 908
% 9.13/9.37 2010. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e2) (e0)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 888 2009 1706
% 9.13/9.37 2011. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 1097 245 292 2010
% 9.13/9.37 2012. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) = (e2)) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2007 1828 2011 1830
% 9.13/9.37 2013. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e1) != (e2)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2012 1543 1831 1718
% 9.13/9.37 2014. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2013
% 9.13/9.37 2015. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.37 2016. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (e1)) ### ConjTree 2015
% 9.13/9.37 2017. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.37 2018. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.13/9.37 2019. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 839 2017 736 2018
% 9.13/9.37 2020. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.37 2021. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 9.13/9.37 2022. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 9.13/9.37 2023. ((op (e0) (e2)) = (e0)) ((e0) != (op (e0) (e2))) ### Sym(=)
% 9.13/9.37 2024. ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) = (e0)) ### TransEq-sym 2021 2022 2023
% 9.13/9.37 2025. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 2024 720 121 878
% 9.13/9.37 2026. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.37 2027. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 736
% 9.13/9.37 2028. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.13/9.37 2029. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ### DisjTree 2025 2026 2027 2028
% 9.13/9.37 2030. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.13/9.37 2031. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 2029 2030 601
% 9.13/9.37 2032. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 2020 2031
% 9.13/9.37 2033. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2032 658
% 9.13/9.37 2034. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.13/9.37 2035. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 1065 2029 2034 1645
% 9.13/9.37 2036. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.37 2037. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 2035 1839 2036 746
% 9.13/9.37 2038. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e3)) = (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 2037 658
% 9.13/9.37 2039. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 888 2038 207
% 9.13/9.37 2040. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 2033 1614 443 2039
% 9.13/9.37 2041. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2040 178 746 756
% 9.13/9.37 2042. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e2)) ((op (e0) (e1)) = (e2)) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 207 2019 2041
% 9.13/9.37 2043. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2042 883 101 530
% 9.13/9.37 2044. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ### DisjTree 1759 888 2043 207
% 9.13/9.37 2045. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.37 2046. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.37 2047. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.13/9.37 2048. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 1786 2029 2047 601
% 9.13/9.37 2049. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 77 2046 2048
% 9.13/9.37 2050. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 2049 658
% 9.13/9.37 2051. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((e1) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2045 1828 1255 2050
% 9.13/9.37 2052. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom
% 9.13/9.37 2053. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) ((e0) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e3) (e1)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2044 1760 2051 2052
% 9.13/9.37 2054. 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(((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = 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\/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2053
% 9.13/9.37 2055. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.37 2056. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e0)) != (e1)) ### ConjTree 2055
% 9.13/9.37 2057. (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. 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(((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. 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(((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (e1)) ### DisjTree 2 4 6 8 10 12 1504 1585 20 1507 27 2001 30 1950 2006 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1980 418 2014 2016 427 429 1587 432 434 436 438 2054 818 446 448 450 1562 1588 456 2056 463 1697 466 1593 1121 474 476 478 480 482 484
% 9.13/9.37 2058. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ### ConjTree 1628
% 9.13/9.37 2059. 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\/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != 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(((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e3) (e0)) != (e3)) ### DisjTree 1989 2057 601 2058
% 9.13/9.38 2060. ((op (e3) (e0)) != (e3)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. 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\/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ 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((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op 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(((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1255 77 1988 2059
% 9.13/9.38 2061. 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((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e3) (e0)) != (e3)) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 1987 1542 2060 1718
% 9.13/9.38 2062. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != 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\/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ### ConjTree 2061
% 9.13/9.38 2063. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.38 2064. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.38 2065. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) = (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 720 72 2064 2031
% 9.13/9.38 2066. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 2065 658
% 9.13/9.38 2067. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.13/9.38 2068. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 2066 178 746 2067
% 9.13/9.38 2069. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.13/9.38 2070. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 2029 192 746 2069
% 9.13/9.38 2071. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e3)) = (e0)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 2070 332
% 9.13/9.38 2072. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e0)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2071 658
% 9.13/9.38 2073. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 888 2068 2072
% 9.13/9.38 2074. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.38 2075. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.13/9.38 2076. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((e1) != (e3)) ((op (e2) (e2)) != (e3)) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1602 1630 2075 601
% 9.13/9.38 2077. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e0) (e3)) != (e0)) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 1632 77 2074 2076
% 9.13/9.38 2078. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 1630 2077
% 9.13/9.38 2079. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 101 2078
% 9.13/9.38 2080. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2079 883 121 658
% 9.13/9.38 2081. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 767 2078
% 9.13/9.38 2082. ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2081 883 121 658
% 9.13/9.38 2083. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 2080 2082
% 9.13/9.38 2084. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 2073 239 2083 663
% 9.13/9.38 2085. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=)
% 9.13/9.38 2086. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom
% 9.13/9.38 2087. ((op (e2) (op (e2) (e2))) != (op (e2) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 85 2086
% 9.13/9.38 2088. ((e1) != (op (e2) (op (e2) (e2)))) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 2087 71
% 9.13/9.38 2089. ((op (e2) (op (e2) (e2))) != (e1)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans 2087 71
% 9.13/9.38 2090. ((op (op (e2) (op (e2) (e2))) (e2)) != (op (e1) (e2))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) ### NotEqual 2089 85
% 9.13/9.38 2091. ((e3) != (op (op (e2) (op (e2) (e2))) (e2))) ((op (e1) (e2)) = (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### Trans-sym 2090 185
% 9.13/9.38 2092. (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) ### DisjTree 2085 2088 2091
% 9.13/9.38 2093. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.38 2094. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) = (e0)) ((op (e1) (e2)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ### DisjTree 2092 298 2093 746
% 9.13/9.38 2095. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((e0) != (e1)) ### DisjTree 1255 2068 2094 2019
% 9.13/9.38 2096. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 2095 1632
% 9.13/9.38 2097. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e0)) ((e0) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 2029 332
% 9.13/9.38 2098. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e3)) ((op (e1) (e3)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 883 2097 658
% 9.13/9.38 2099. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 67 888 2066 2098
% 9.13/9.38 2100. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2063 2084 2096 2099
% 9.13/9.38 2101. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.38 2102. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom
% 9.13/9.38 2103. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ### DisjTree 2102 2071 646 1629
% 9.13/9.38 2104. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 964 867 1632
% 9.13/9.38 2105. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.38 2106. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.13/9.38 2107. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 1602 2103 2106 601
% 9.13/9.38 2108. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e3)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2104 77 2105 2107
% 9.13/9.38 2109. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.38 2110. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2108 160 2109 1617
% 9.13/9.38 2111. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e3)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 2110 2051
% 9.13/9.38 2112. ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 617 2103 2111
% 9.13/9.38 2113. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 101 2112
% 9.13/9.38 2114. ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2113 658
% 9.13/9.38 2115. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e0) != (e1)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e2)) = (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 767 2112
% 9.13/9.38 2116. ((op (e0) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2115 658
% 9.13/9.39 2117. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 2114 2116
% 9.13/9.39 2118. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e3)) = (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 2117 239 2083 663
% 9.13/9.39 2119. ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2101 2118 1255 2050
% 9.13/9.39 2120. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom
% 9.13/9.39 2121. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2100 1760 2119 2120
% 9.13/9.39 2122. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e2)) != (e1)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ 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(e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) 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/\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ 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(e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2121
% 9.13/9.39 2123. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.39 2124. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.39 2125. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom
% 9.13/9.39 2126. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ### ConjTree 1744
% 9.13/9.39 2127. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 9.13/9.39 2128. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) ### DisjTree 1977 332 1229 2127
% 9.13/9.39 2129. ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) = (e1)) ### Axiom
% 9.13/9.39 2130. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e2) (e3)) = (e2)) ((e1) != (e2)) ((e1) != (e3)) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2128 993 746 2129
% 9.13/9.39 2131. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) ### DisjTree 2125 197 2126 2130
% 9.13/9.39 2132. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 2131 1804
% 9.13/9.39 2133. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 617 2092 2132
% 9.13/9.39 2134. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e1)) ((e0) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e0)) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 2131 207
% 9.13/9.39 2135. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e0) != (e1)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) ((op (e3) (e1)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 617 2092 2134
% 9.13/9.39 2136. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e0)) = (e1)) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 2133 2135
% 9.13/9.39 2137. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e0) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e2) != (e3)) ((op (e2) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 2124 783 2136 345
% 9.13/9.39 2138. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.39 2139. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e3)) = (e1)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) ((op (e2) (e0)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 230 617 2092 2128
% 9.13/9.39 2140. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((op (e0) (e3)) = (e1)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 2138 783 2139 345
% 9.13/9.39 2141. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) = (e0)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (e2)) ((e2) != (e3)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((e1) != (e2)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2123 2137 1973 2140
% 9.13/9.39 2142. ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e1) != (e2)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2141
% 9.13/9.39 2143. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.39 2144. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.39 2145. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 77 2144 601
% 9.13/9.39 2146. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.39 2147. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2104 77 2146 601
% 9.13/9.39 2148. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.13/9.39 2149. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.39 2150. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.13/9.39 2151. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((e0) != (e3)) ((e1) != (e3)) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1614 1769 1937 1940
% 9.13/9.39 2152. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((op (e3) (e3)) = (e2)) (-. 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(e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2150 2151 1242 1927
% 9.13/9.39 2153. 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(e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2149 1762 1255 2152
% 9.13/9.39 2154. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 888 101 605
% 9.13/9.39 2155. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e3)) = (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e2)) != (e3)) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1790 2153 2154
% 9.13/9.39 2156. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2155
% 9.13/9.39 2157. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.39 2158. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1520 888 101 207
% 9.13/9.39 2159. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 197 2158
% 9.13/9.39 2160. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.39 2161. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.39 2162. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1937 101 915 572
% 9.13/9.39 2163. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2161 1643 2162 1973
% 9.13/9.39 2164. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.39 2165. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.39 2166. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 2165 1551 377
% 9.13/9.39 2167. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2164 1967 2162 2166
% 9.13/9.39 2168. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.39 2169. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2168 1967 2162 709
% 9.13/9.40 2170. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e2) != (e3)) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((e0) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2163 2167 151 2169
% 9.13/9.40 2171. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.40 2172. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2171 1967 2162 345
% 9.13/9.40 2173. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((e2) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e0)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 2160 1182 2170 2172
% 9.13/9.40 2174. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2157 2159 2173 1977
% 9.13/9.40 2175. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.40 2176. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.40 2177. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.40 2178. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2177 1643 1937 1973
% 9.13/9.40 2179. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.40 2180. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2179 1967 1937 2166
% 9.13/9.40 2181. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.40 2182. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 9.13/9.40 2183. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 9.13/9.40 2184. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 9.13/9.40 2185. ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e2)) ### TransEq 2182 2183 2184
% 9.13/9.40 2186. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.40 2187. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e1)) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2181 2185 2186
% 9.13/9.40 2188. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2178 2180 151 2187
% 9.13/9.40 2189. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.13/9.40 2190. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2189 1643 1937 345
% 9.13/9.40 2191. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e1) != (e3)) ((op (e3) (e0)) = (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2190 2180 1242 2187
% 9.13/9.40 2192. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) ### DisjTree 2176 783 2188 2191
% 9.13/9.40 2193. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e0)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2175 2159 2192 1977
% 9.13/9.40 2194. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1520 888 101 605
% 9.13/9.40 2195. (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 2174 2193 2194
% 9.13/9.40 2196. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((e0) != (e2)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2195
% 9.13/9.40 2197. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.40 2198. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 617 197 1588
% 9.13/9.40 2199. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e1)) ((e0) != (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e0)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2197 2198 1973 2140
% 9.13/9.40 2200. ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e3)) ((e0) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2199
% 9.13/9.40 2201. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.13/9.40 2202. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 101 1583
% 9.13/9.40 2203. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1749 888 101 1583
% 9.13/9.40 2204. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 888 101 1583
% 9.23/9.40 2205. ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e1)) = (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2203 2204 698 1737
% 9.23/9.40 2206. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 9.23/9.40 2207. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 2206 1116 1204 698
% 9.23/9.40 2208. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.40 2209. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 2185 964 2207 2208
% 9.23/9.40 2210. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 1645 515 2209 576
% 9.23/9.40 2211. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e2)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2201 2202 2205 2210
% 9.23/9.40 2212. ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2211
% 9.23/9.40 2213. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) 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(e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e3)) != (e1)) ((op (e2) (e1)) = (e2)) ### DisjTree 2 4 6 8 10 12 1553 1506 20 1554 27 2156 30 1950 2196 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1980 418 1555 2016 427 429 1547 432 434 436 438 1560 818 446 448 450 1562 2200 456 2056 463 1568 466 2212 1121 474 476 478 480 482 484
% 9.23/9.40 2214. 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(e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) 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((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((op (e1) (e1)) = (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2213 1766
% 9.23/9.40 2215. ((op (e2) (e3)) = (e1)) ((op (e1) (e2)) = (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 2214 867 746
% 9.23/9.41 2216. 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\/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ 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((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2147 160 2148 2215
% 9.23/9.41 2217. ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2145 617 692 2216
% 9.23/9.41 2218. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e0)) = (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != 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(((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ 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(e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 883 101 2217
% 9.23/9.41 2219. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 9.23/9.41 2220. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.23/9.41 2221. ((op (e2) (e2)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 1741 72 2220 601
% 9.23/9.41 2222. ((op (e1) (e3)) = (e2)) ((op (e2) (e2)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((e1) != (e2)) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 236 2214 1744 658
% 9.23/9.41 2223. 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(e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((e1) != (e2)) ((e1) != (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) != (e0)) ### DisjTree 2219 2221 2222 488
% 9.23/9.41 2224. 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(((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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(e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) = (e1)) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### DisjTree 2145 392 692 2223
% 9.23/9.41 2225. (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e0) (e1)) = (e1)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2218 2224
% 9.23/9.41 2226. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) ((op (e0) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e1)) ((op (e0) (e1)) = (e1)) ((e0) != (e1)) ### DisjTree 147 888 2225 1583
% 9.23/9.41 2227. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e3)) = (e3)) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 151 778 867 1632
% 9.23/9.42 2228. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.23/9.42 2229. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) 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(e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2227 298 2228 2215
% 9.23/9.42 2230. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op 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(e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != 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\/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 692 2229
% 9.23/9.42 2231. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.23/9.42 2232. 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(e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2104 298 2231 2215
% 9.23/9.42 2233. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) 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(e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 617 692 2232
% 9.23/9.42 2234. ((op (e2) (e1)) = (e0)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e0)) = (e2)) ((e1) != (e3)) ((op (e1) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op 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(e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### DisjTree 2230 883 101 2233
% 9.23/9.42 2235. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 9.23/9.42 2236. 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(e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e1)) = (e1)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e2)) ((e0) != (e2)) ((op (e2) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (e0)) ### DisjTree 2235 1741 2222 488
% 9.23/9.42 2237. 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(((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1643 392 692 2236
% 9.23/9.42 2238. (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e2)) != (e0)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e2)) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e2)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1551 883 2234 2237
% 9.23/9.43 2239. ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((e0) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e2) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e2)) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1749 888 2238 1583
% 9.23/9.43 2240. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) = (e1)) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (e0)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ### DisjTree 380 888 2238 1583
% 9.23/9.43 2241. (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (e0)) ((op (e3) (e3)) != (e2)) ((e0) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) = (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) != (e1)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 2239 2240 292 1737
% 9.23/9.43 2242. ((e0) != (e1)) ((op (e1) (e1)) = (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e2)) != (e0)) ((e0) != (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e2) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) 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(e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e2) (e2)) != (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) != (e1)) ### DisjTree 2143 2226 2241 1755
% 9.23/9.43 2243. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ((e1) != (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e1) != (e3)) ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op 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(e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e1)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e1)) ((e0) != (e1)) ### ConjTree 2242
% 9.23/9.43 2244. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op 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((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ((op (e3) (e3)) != (e1)) ((op (e2) (e2)) != (e1)) ### DisjTree 2 4 6 8 10 12 1504 1506 20 1507 27 1949 30 1950 1979 38 40 42 1523 1524 48 50 52 54 1525 61 63 1526 1527 138 293 412 414 1980 418 2062 2016 427 429 1547 432 434 436 438 2122 818 446 448 450 1562 2142 456 2056 463 1697 466 2243 1121 474 476 478 480 482 484
% 9.23/9.43 2245. ((op (e2) (e2)) != (e1)) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e0)) != (e1)) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2244 2057
% 9.23/9.43 2246. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (e1)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ((op (e1) (e1)) = (e1)) ### Or 2245 2214
% 9.23/9.44 2247. (((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) ((op (e1) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e1)) (((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### Or 2246 1760
% 9.23/9.44 2248. (((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e1) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((e0) != (e1)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e2))) ((e1) != (e2)) ### ConjTree 2247
% 9.23/9.44 2249. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ### ConjTree 946
% 9.23/9.44 2250. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.23/9.44 2251. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2252. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2250 2251 377
% 9.23/9.44 2253. ((op (e3) (e1)) != (e3)) ((op (e3) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2254. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.23/9.44 2255. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2256. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2257. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 2256 867 588
% 9.23/9.44 2258. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2255 1468 111 2257
% 9.23/9.44 2259. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2260. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1157 380 698 287
% 9.23/9.44 2261. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2259 1468 111 2260
% 9.23/9.44 2262. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2254 2258 2261 1149
% 9.23/9.44 2263. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e1)) != (e3)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 2252 2253 2262 796
% 9.23/9.44 2264. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### ConjTree 2263
% 9.23/9.44 2265. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2266. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) != (e2)) ### ConjTree 2265
% 9.23/9.44 2267. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.44 2268. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e3)) != (e2)) ### ConjTree 2267
% 9.23/9.44 2269. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2270. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.44 2271. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2272. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.44 2273. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 850 2271 2272
% 9.23/9.44 2274. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1937 2273 1744 572
% 9.23/9.44 2275. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2276. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 9.23/9.44 2277. ((op (e0) (e1)) != (op (e0) (e1))) ### Refl(=)
% 9.23/9.44 2278. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=)
% 9.23/9.44 2279. ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e3) (e1)) = (e2)) ### TransEq 2276 2277 2278
% 9.23/9.44 2280. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 9.23/9.44 2281. ((op (e2) (e2)) != (op (e2) (e2))) ### Refl(=)
% 9.23/9.44 2282. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=)
% 9.23/9.44 2283. ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ### TransEq 2280 2281 2282
% 9.23/9.44 2284. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.44 2285. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ### DisjTree 709 2279 2283 2284
% 9.23/9.44 2286. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2275 2285 111 1961
% 9.23/9.44 2287. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 2270 325 2274 2286
% 9.23/9.44 2288. ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2269 2287 111 1961
% 9.23/9.44 2289. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 2288
% 9.23/9.44 2290. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ### ConjTree 1744
% 9.23/9.44 2291. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2292. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.23/9.44 2293. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2294. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.23/9.44 2295. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2296. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 2294 783 2295 392
% 9.23/9.44 2297. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 2293 867 2296
% 9.23/9.44 2298. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 2292 2297 1580
% 9.23/9.44 2299. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2291 2298 111 2257
% 9.23/9.44 2300. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2299
% 9.23/9.44 2301. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2302. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e0)) != (e2)) ### ConjTree 2301
% 9.23/9.44 2303. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.44 2304. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e3)) != (e2)) ### ConjTree 2303
% 9.23/9.44 2305. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.44 2306. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1157 266 736 2305
% 9.23/9.44 2307. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2308. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 9.23/9.44 2309. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 9.23/9.44 2310. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=)
% 9.23/9.44 2311. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 2308 2309 2310
% 9.23/9.44 2312. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=)
% 9.23/9.44 2313. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom
% 9.23/9.44 2314. ((op (e1) (op (e1) (e1))) != (op (e1) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 71 2313
% 9.23/9.44 2315. ((e2) != (op (e1) (op (e1) (e1)))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 2314 85
% 9.23/9.44 2316. ((op (e1) (op (e1) (e1))) != (e2)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans 2314 85
% 9.23/9.44 2317. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e2)) ### NotEqual 2316 71
% 9.23/9.44 2318. ((e3) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e2) (e1)) = (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### Trans-sym 2317 185
% 9.23/9.44 2319. (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e0)) ### DisjTree 2312 2315 2318
% 9.23/9.44 2320. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2321. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2322. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 2319 178 2320 2321
% 9.23/9.44 2323. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 9.23/9.44 2324. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 9.23/9.44 2325. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=)
% 9.23/9.44 2326. ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e3) (e1)) = (e0)) ### TransEq 2323 2324 2325
% 9.23/9.44 2327. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2328. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2329. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ### DisjTree 2326 178 2327 2328
% 9.23/9.44 2330. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 245 488 1195
% 9.23/9.44 2331. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 2329 2330 1541
% 9.23/9.44 2332. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 2322 154 2331
% 9.23/9.44 2333. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2311 1744 2332
% 9.23/9.44 2334. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2335. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2336. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2337. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2311 178 2335 2336
% 9.23/9.44 2338. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.44 2339. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1817 530 2283 2338
% 9.23/9.44 2340. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 530 488 1195
% 9.23/9.44 2341. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.44 2342. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e2)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 1162 2340 2283 2341
% 9.23/9.44 2343. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.44 2344. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((e0) != (e2)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2342 266 646 2343
% 9.23/9.44 2345. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e2) (e3)) = (e0)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2339 207 2344 1541
% 9.23/9.44 2346. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((e0) != (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 255 154 2345
% 9.23/9.44 2347. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2337 1744 2346
% 9.23/9.44 2348. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 2333 2334 2322 2347
% 9.23/9.44 2349. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2350. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2348 2349 867 266
% 9.23/9.44 2351. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2350 2337 2329
% 9.23/9.44 2352. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.44 2353. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2354. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2355. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ### DisjTree 380 2354 2322 530
% 9.23/9.44 2356. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) = (e0)) ((e0) != (e2)) ### DisjTree 1468 2353 803 2355
% 9.23/9.44 2357. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 9.23/9.44 2358. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 9.23/9.44 2359. ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) = (e3)) ### TransEq-sym 2357 2358 57
% 9.23/9.44 2360. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ### DisjTree 271 2359 2319 530
% 9.23/9.44 2361. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ### DisjTree 239 524 803 2360
% 9.23/9.44 2362. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2363. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2339 207 2342 1541
% 9.23/9.44 2364. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e2)) ((e0) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) = (e0)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 255 154 2363
% 9.23/9.44 2365. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2337 1744 2364
% 9.23/9.44 2366. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 2333 2362 2319 2365
% 9.23/9.44 2367. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2368. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) ((op (e0) (e0)) = (e3)) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 2329 2340 1541
% 9.23/9.44 2369. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 2322 154 2368
% 9.23/9.44 2370. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2311 1744 2369
% 9.23/9.44 2371. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2366 2367 515 2370
% 9.23/9.44 2372. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 311 2330 1541
% 9.23/9.44 2373. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 584 154 2372
% 9.23/9.44 2374. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 2311 1744 2373
% 9.23/9.44 2375. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2376. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e3) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### DisjTree 2374 2375 2319 498
% 9.23/9.44 2377. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2378. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2379. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) = (e0)) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 226 2306 308
% 9.23/9.44 2380. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e1)) ((op (e3) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 345 498 488 1195
% 9.23/9.44 2381. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e2) != (e3)) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 2379 311 2380 1629
% 9.23/9.44 2382. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 1161 584 154 2381
% 9.23/9.44 2383. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2384. (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 1531 349 2279 584
% 9.23/9.44 2385. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.44 2386. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.44 2387. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e1)) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 2384 178 2385 2386
% 9.23/9.44 2388. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e3)) ((op (e3) (e0)) = (e1)) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ### DisjTree 2382 2383 2387 530
% 9.23/9.44 2389. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) ((op (e3) (e1)) = (e1)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 2378 2388 993
% 9.23/9.44 2390. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e1)) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((e1) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2376 2377 803 2389
% 9.23/9.44 2391. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2361 888 2371 2390
% 9.23/9.44 2392. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((e0) != (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e3)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2356 2391 2337 2329
% 9.23/9.44 2393. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e0) != (e2)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((e0) != (e1)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2352 2392 843 1162
% 9.23/9.44 2394. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) = (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) = (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2307 2351 111 2393
% 9.23/9.45 2395. ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 226 2306 2394
% 9.23/9.45 2396. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.45 2397. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e1)) = (e0)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((e0) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2356 2396 867 266
% 9.23/9.45 2398. (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e3)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2306 160 946 203
% 9.23/9.45 2399. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e0) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 829 2398 1255 511
% 9.23/9.45 2400. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((e1) != (e3)) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2399
% 9.23/9.45 2401. ((op (e0) (e3)) != (e0)) ((op (e0) (e3)) = (e0)) ### Axiom
% 9.23/9.45 2402. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((e1) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2395 2397 2400 2401
% 9.23/9.45 2403. ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e1)) != (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((e1) != (e3)) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2402
% 9.23/9.45 2404. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ### ConjTree 154
% 9.23/9.45 2405. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 843
% 9.23/9.45 2406. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 803
% 9.23/9.45 2407. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 338 843 580
% 9.23/9.45 2408. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.45 2409. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2408 2361 843 709
% 9.23/9.45 2410. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom
% 9.23/9.45 2411. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.45 2412. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.45 2413. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2311 1838 964 584
% 9.23/9.45 2414. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) = (e3)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 2412 803 2413
% 9.23/9.45 2415. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom
% 9.23/9.45 2416. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.45 2417. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=)
% 9.23/9.45 2418. ((e3) != (op (e1) (op (e1) (e1)))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 2314 185
% 9.23/9.45 2419. ((op (e1) (op (e1) (e1))) != (e3)) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans 2314 185
% 9.23/9.45 2420. ((op (op (e1) (op (e1) (e1))) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e0)) = (e3)) ### NotEqual 2419 71
% 9.23/9.45 2421. ((e2) != (op (op (e1) (op (e1) (e1))) (e1))) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### Trans-sym 2420 85
% 9.23/9.45 2422. (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e0)) ### DisjTree 2417 2418 2421
% 9.23/9.45 2423. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 2422 2359 878 993
% 9.23/9.45 2424. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e3)) ((e1) != (e3)) ((op (e1) (e3)) = (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 2416 803 2423
% 9.23/9.45 2425. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((op (e0) (e2)) = (e3)) ((e0) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 2415 888 369 2424
% 9.23/9.45 2426. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e2) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e2) (e0)) = (e1)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1157 2414 2425 287
% 9.23/9.45 2427. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) = (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e1) != (e3)) ((e0) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2411 2285 111 2426
% 9.23/9.45 2428. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2407 2410 2427 345
% 9.23/9.45 2429. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.45 2430. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2429 2285 111 404
% 9.23/9.45 2431. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2407 2409 2428 2430
% 9.23/9.45 2432. ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) = (e0)) ### Axiom
% 9.23/9.45 2433. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) != (e0)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) = (e3)) ((e0) != (e3)) ### DisjTree 1692 2326 926 2432
% 9.23/9.45 2434. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e1)) != (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2431 1531 2433 2286
% 9.23/9.45 2435. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2434
% 9.23/9.45 2436. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.45 2437. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.23/9.45 2438. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ### DisjTree 2326 349 2422 255
% 9.23/9.45 2439. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 2311 160 803 2438
% 9.23/9.45 2440. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.45 2441. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 849 2440 515 530
% 9.23/9.45 2442. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e1)) = (e1)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 338 222 2441
% 9.23/9.45 2443. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.45 2444. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2442 530 2283 2443
% 9.23/9.45 2445. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e0)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 2439 888 2444 498
% 9.23/9.45 2446. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e1)) = (e2)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 2437 2445 850 207
% 9.23/9.45 2447. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 2446 849 460
% 9.23/9.45 2448. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.23/9.45 2449. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.45 2450. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e0) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ### DisjTree 2361 2449 867 588
% 9.23/9.45 2451. (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) = (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ### DisjTree 2450 888 2444 498
% 9.23/9.45 2452. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.45 2453. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e0) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 850 2452 101 530
% 9.23/9.45 2454. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 2448 2451 2453 207
% 9.23/9.45 2455. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e3) (e1)) = (e3)) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2436 2447 111 2454
% 9.23/9.45 2456. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.23/9.45 2457. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.23/9.45 2458. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### ConjTree 1515
% 9.23/9.45 2459. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom
% 9.23/9.45 2460. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) = (e1)) ### ConjTree 2459
% 9.23/9.45 2461. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom
% 9.23/9.45 2462. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) = (e3)) ### ConjTree 2461
% 9.23/9.45 2463. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 1794
% 9.23/9.45 2464. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 1794
% 9.23/9.45 2465. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ### ConjTree 363
% 9.23/9.45 2466. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom
% 9.23/9.45 2467. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e2)) = (e0)) ### ConjTree 2466
% 9.23/9.45 2468. ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (e3)) ### Axiom
% 9.23/9.45 2469. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) ((op (e3) (e2)) = (e3)) ### ConjTree 2468
% 9.23/9.45 2470. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 9.23/9.45 2471. ((op (e1) (e3)) != (op (e1) (e3))) ### Refl(=)
% 9.23/9.45 2472. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=)
% 9.23/9.45 2473. ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) = (e1)) ### TransEq-sym 2470 2471 2472
% 9.23/9.45 2474. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 2473
% 9.23/9.45 2475. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 2473
% 9.23/9.45 2476. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 471
% 9.23/9.45 2477. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### ConjTree 2024
% 9.23/9.45 2478. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 1592
% 9.23/9.45 2479. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ### ConjTree 342
% 9.23/9.45 2480. ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (e0)) ### Axiom
% 9.23/9.45 2481. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e2)) = (e0)) ### ConjTree 2480
% 9.23/9.45 2482. ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (e1)) ### Axiom
% 9.23/9.45 2483. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e2)) = (e1)) ### ConjTree 2482
% 9.23/9.45 2484. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op 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((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2458 20 2460 27 2462 30 2463 2464 38 40 42 2290 2465 48 50 52 54 2467 61 63 2469 2474 138 2475 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2476 2477 456 2478 463 2479 466 2481 2483 474 476 478 480 482 484
% 9.23/9.45 2485. 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(e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 926 353 2283 2484
% 9.23/9.45 2486. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 545 1786 287
% 9.23/9.45 2487. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.45 2488. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2486 266 736 2487
% 9.23/9.45 2489. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) (-. 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(((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op 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(e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 688 888 2485 2488
% 9.23/9.45 2490. 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(e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 2457 2489 724 207
% 9.23/9.45 2491. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e1) (e0)) = (e3)) ((e1) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2490 338 222 849
% 9.23/9.45 2492. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 2491 849 460
% 9.23/9.46 2493. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.46 2494. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) ((op (e0) (e0)) = (e1)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = 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/\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 2492 530 2283 2493
% 9.23/9.46 2495. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((e2) != (e3)) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 829 245 1786 287
% 9.23/9.46 2496. 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(e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = 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/\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e1) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 2494 111 2495
% 9.23/9.46 2497. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.46 2498. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.23/9.46 2499. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.46 2500. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 1961 266 736 2499
% 9.23/9.46 2501. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 321 888 834 2500
% 9.23/9.46 2502. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e1)) != (e0)) ### DisjTree 2498 2501 850 207
% 9.23/9.46 2503. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e3) (e1)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2497 2502 111 1961
% 9.23/9.46 2504. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (e0)) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((e2) != (e3)) ((op (e3) (e1)) = (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2455 2456 2496 2503
% 9.23/9.46 2505. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e1)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e2) != (e3)) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ 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(e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2504
% 9.23/9.46 2506. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.46 2507. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e0) (e0)) != (e2)) ### ConjTree 2506
% 9.23/9.46 2508. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.46 2509. (((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e1) (e1)) != (e2)) ### ConjTree 2508
% 9.23/9.46 2510. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2264 20 2266 27 2268 30 2289 1968 38 40 42 2290 2300 48 50 52 54 2302 61 63 2304 2403 138 2404 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2435 2126 456 2505 463 1463 466 2507 2509 474 476 478 480 482 484
% 9.23/9.46 2511. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 2262
% 9.23/9.46 2512. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.46 2513. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.46 2514. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.46 2515. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ### DisjTree 2514 325 849 471
% 9.23/9.46 2516. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2513 2515 111 1961
% 9.23/9.46 2517. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.46 2518. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.46 2519. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) = (e2)) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2518 688 1937 709
% 9.23/9.46 2520. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e3)) ((e1) != (e3)) ((e0) != (e3)) ((op (e2) (e0)) = (e0)) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2517 651 843 2519
% 9.23/9.46 2521. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.46 2522. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.46 2523. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e2) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 338 2521 2522
% 9.23/9.46 2524. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.46 2525. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.46 2526. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) ((op (e0) (e0)) != (op (e2) (e0))) ### DisjTree 98 218 2524 2525
% 9.23/9.46 2527. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2516 2520 2523 2526
% 9.23/9.46 2528. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e1)) = (e2)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### DisjTree 2527 2273 1744 572
% 9.23/9.46 2529. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2512 2528 111 1961
% 9.23/9.46 2530. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e0)) != (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 2529
% 9.23/9.46 2531. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.23/9.46 2532. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.23/9.46 2533. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.23/9.46 2534. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 1182 2533 1719 1706
% 9.23/9.46 2535. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e1)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 34 576 588 702
% 9.23/9.46 2536. (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((e0) != (e1)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ### DisjTree 2534 266 2535 756
% 9.23/9.46 2537. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e1)) != (e0)) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 392 692 2536
% 9.23/9.46 2538. (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) ((op (e1) (e1)) != (e0)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 651 2532 867 2537
% 9.23/9.46 2539. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e3) (e3)) = (e0)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e1) (e1)) != (e0)) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2531 2538 1580
% 9.23/9.46 2540. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 9.23/9.46 2541. ((op (e0) (e2)) != (op (e0) (e2))) ### Refl(=)
% 9.23/9.46 2542. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=)
% 9.23/9.46 2543. ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) = (e0)) ### TransEq 2540 2541 2542
% 9.23/9.46 2544. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 2543 353 867 692
% 9.23/9.46 2545. (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1255 363 946 2544
% 9.23/9.46 2546. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e2))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ### ConjTree 2545
% 9.23/9.46 2547. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e1) (e1)) != (e0)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((e1) != (e3)) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e0)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) ((op (e1) (e0)) = (e1)) ((e1) != (e2)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2539 2258 2546 1718
% 9.23/9.46 2548. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e1) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((e0) != (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e1) != (e3)) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2547
% 9.23/9.46 2549. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.46 2550. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e1) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### DisjTree 1096 2549 692 993
% 9.23/9.46 2551. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e3)) ((e1) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 2550
% 9.23/9.46 2552. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((e0) != (e1)) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e2)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2511 20 2266 27 2462 30 2530 1968 38 40 42 2290 2548 48 50 52 54 2302 61 63 2469 2551 138 2404 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2476 2126 456 2478 463 1463 466 2507 2509 474 476 478 480 482 484
% 9.23/9.46 2553. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e1)) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### Or 2510 2552
% 9.23/9.47 2554. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.23/9.47 2555. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 2554 147 369 398
% 9.23/9.47 2556. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2555
% 9.23/9.47 2557. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.47 2558. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 218 311 353 796
% 9.23/9.47 2559. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 207 698 2558
% 9.23/9.47 2560. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e3) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 926 369 111 698
% 9.23/9.47 2561. (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e0) != (e2)) ((op (e1) (e2)) = (e1)) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1794 72 1744 2560
% 9.23/9.47 2562. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e2)) = (e1)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ### ConjTree 2561
% 9.23/9.47 2563. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e3) (e1)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ### DisjTree 2559 329 154 2562
% 9.23/9.47 2564. (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e2)) ((e0) != (e2)) ### DisjTree 1468 2359 850 2563
% 9.23/9.47 2565. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((e0) != (e3)) ((op (e1) (e1)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ### DisjTree 2557 2564 111 1961
% 9.23/9.47 2566. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.47 2567. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e1)) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) ### DisjTree 2566 239 111 1961
% 9.23/9.47 2568. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e1) != (e2)) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) ((e0) != (e3)) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### DisjTree 2565 2567 369 1977
% 9.23/9.47 2569. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2568
% 9.23/9.47 2570. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e3) (e0)) = (e3)) ((e1) != (e3)) ### DisjTree 345 2384 353 398
% 9.23/9.47 2571. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e0)) ((op (e3) (e3)) != (e2)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e3) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ### DisjTree 580 2570 154 1196
% 9.23/9.47 2572. (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((e1) != (e3)) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e1)) = (e0)) ((e0) != (e2)) ((e2) != (e3)) ((op (e3) (e0)) = (e3)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2285 685 803 2571
% 9.23/9.47 2573. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) != (e0)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) ((op (e1) (e1)) = (e0)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) = (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ### DisjTree 2407 2409 369 2572
% 9.23/9.47 2574. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e0)) ((e0) != (e3)) ((e1) != (e3)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e0)) != (e2)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) != (e0)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((e0) != (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2573 1531 2433 2286
% 9.23/9.47 2575. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e0) != (e2)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e3)) ((e0) != (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2574
% 9.23/9.47 2576. 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(e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = 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(((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((e0) != (e3)) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2556 20 2460 27 2268 30 2569 1968 38 40 42 2290 2465 48 50 52 54 2302 61 63 2304 2474 138 2404 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2575 2126 456 835 463 1463 466 2507 2483 474 476 478 480 482 484
% 9.23/9.47 2577. 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/\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 2485 72 1744 2560
% 9.23/9.47 2578. (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) ((e0) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e1) != (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### Or 2576 2577
% 9.23/9.47 2579. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2553 2578
% 9.23/9.47 2580. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.23/9.47 2581. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ### DisjTree 2543 2474 867 692
% 9.23/9.47 2582. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e2)) = (e3)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2458 20 2266 27 2462 30 2463 2464 38 40 42 2290 2546 48 50 52 54 2467 61 63 2469 2581 138 2404 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2476 2477 456 2478 463 1463 466 2481 2509 474 476 478 480 482 484
% 9.23/9.47 2583. 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(e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ 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((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) = (e3)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 377 255 2582 1628
% 9.23/9.47 2584. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom
% 9.23/9.47 2585. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e1)) = (e0)) ((e0) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2584 207 692 1195
% 9.23/9.47 2586. 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(((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ((op (e3) (e1)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ### DisjTree 1786 2585 154 2582
% 9.23/9.47 2587. 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(((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((e0) != (e3)) ### DisjTree 1937 2583 154 2586
% 9.23/9.48 2588. 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(e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e2)) = (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ### DisjTree 1515 2580 724 2587
% 9.23/9.48 2589. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom
% 9.23/9.48 2590. 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(e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ 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(e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e1)) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ((op (e3) (e3)) = (e0)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ### DisjTree 2588 688 1937 2589
% 9.23/9.48 2591. ((op (e3) (e0)) != (e3)) ((op (e3) (e0)) = (e3)) ### Axiom
% 9.23/9.48 2592. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ### ConjTree 1628
% 9.23/9.48 2593. (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) = (e2)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e3) (e1)) = (e2)) ((e2) != (e3)) ((op (e3) (e0)) != (e3)) ### DisjTree 2591 530 2544 2592
% 9.23/9.48 2594. ((op (e3) (e3)) != (e2)) ((op (e3) (e3)) = (e2)) ### Axiom
% 9.23/9.48 2595. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) != (e2)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (e3)) ((e2) != (e3)) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e2) (e2)) = (e2)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e0)) ((e0) != (e2)) ### DisjTree 1817 2593 2283 2594
% 9.23/9.48 2596. 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/\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e2)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) ### DisjTree 1255 2485 946 2595
% 9.23/9.48 2597. 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((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op 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(e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e1) (e1)) != (e0)) ((op (e0) (e1)) != (op (e0) (e2))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e0)) != (op (e0) (e2))) ### DisjTree 24 1182 2590 2596
% 9.23/9.48 2598. ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e1)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (e2)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) ((op (e3) (e3)) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ### ConjTree 2597
% 9.23/9.48 2599. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((e0) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 2433
% 9.23/9.48 2600. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e1) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e1) != (e3)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((e0) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e3)) != (e2)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e2)) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((e0) != (e1)) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2496
% 9.23/9.48 2601. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e3) (e3)) != (e2)) ((op (e1) (e1)) != (e2)) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) ### DisjTree 2 4 6 8 10 12 2249 2458 20 2266 27 2268 30 2463 2464 38 40 42 2290 2598 48 50 52 54 2467 61 63 2304 2400 138 2404 412 414 2405 418 1984 2406 427 429 804 432 434 436 438 2027 737 446 448 450 2599 2477 456 2600 463 1463 466 2481 2509 474 476 478 480 482 484
% 9.23/9.48 2602. 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(e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((e2) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e0) != (e3)) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 2601 2582
% 9.23/9.48 2603. (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((e0) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e2)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e0) (e2))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) = (e0)) ((e1) != (e2)) ((op (e2) (e2)) = (e2)) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) ### Or 2602 2485
% 9.23/9.48 2604. (((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) ((op (e0) (e0)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e2)) ((e1) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e1) != (e3)) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e2))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) ### Or 2579 2603
% 9.23/9.49 2605. (((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e2)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e2)) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((e1) != (e2)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) ((op (e0) (e0)) != (op (e0) (e2))) ### ConjTree 2604
% 9.23/9.49 2606. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.23/9.49 2607. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2608. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (op (e0) (e1))) ### DisjTree 16 2606 236 2607
% 9.23/9.49 2609. ((op (e2) (e1)) != (e2)) ((op (e2) (e1)) = (e2)) ### Axiom
% 9.23/9.49 2610. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.23/9.49 2611. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2612. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.49 2613. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 2612 878 1188
% 9.23/9.49 2614. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2611 380 2613 492
% 9.23/9.49 2615. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2616. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2615 380 1667 492
% 9.23/9.49 2617. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2618. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e0) (e1)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2617 380 248 492
% 9.23/9.49 2619. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2616 1468 2618 663
% 9.23/9.49 2620. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e2)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) ((op (e0) (e1)) = (e0)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e0)) != (e1)) ### DisjTree 2610 2614 728 2619
% 9.23/9.49 2621. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e0) (e0)) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ### ConjTree 2620
% 9.23/9.49 2622. (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e2) (e2)) = (e1)) ((e1) != (e2)) ((op (e2) (e1)) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e1)) = (e0)) ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 2608 2609 946 2621
% 9.23/9.49 2623. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### ConjTree 2622
% 9.23/9.49 2624. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ### ConjTree 796
% 9.23/9.49 2625. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.49 2626. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2627. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.23/9.49 2628. (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) = (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ### DisjTree 251 584 2627 1195
% 9.23/9.49 2629. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2626 2628 1786 492
% 9.23/9.49 2630. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2631. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2630 545 1786 492
% 9.23/9.49 2632. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 2625 524 2629 2631
% 9.23/9.49 2633. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2634. (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e0) (e1)) = (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e3)) ### DisjTree 2633 271 1786 492
% 9.23/9.49 2635. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.49 2636. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.23/9.49 2637. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1817 1131 926 1628
% 9.23/9.49 2638. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) ((op (e3) (e0)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 2636 2637 1188
% 9.23/9.49 2639. (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 2635 524 2629 2638
% 9.23/9.49 2640. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.23/9.49 2641. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 9.23/9.49 2642. ((op (e0) (e0)) != (e1)) ((op (e0) (e0)) = (e1)) ### Axiom
% 9.23/9.49 2643. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) = (e0)) ((e0) != (e1)) ((op (e0) (e0)) != (e1)) ### DisjTree 2642 147 1116 511
% 9.23/9.49 2644. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2643
% 9.23/9.49 2645. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2632 2634 1255 511
% 9.23/9.49 2646. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((e1) != (e3)) ((e0) != (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2645
% 9.23/9.49 2647. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom
% 9.23/9.49 2648. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e3)) = (e1)) ### ConjTree 2647
% 9.23/9.49 2649. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.23/9.49 2650. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e2)) != (e3)) ### ConjTree 2649
% 9.23/9.49 2651. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 9.23/9.49 2652. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2651
% 9.23/9.49 2653. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 226
% 9.23/9.49 2654. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((op (e1) (e3)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 2473
% 9.23/9.49 2655. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2656. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) != (e3)) ### ConjTree 2655
% 9.23/9.49 2657. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.23/9.49 2658. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e2)) != (e3)) ### ConjTree 2657
% 9.23/9.49 2659. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 9.23/9.49 2660. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2659
% 9.23/9.49 2661. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2662. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.23/9.49 2663. ((op (e3) (e3)) != (op (e3) (e3))) ### Refl(=)
% 9.23/9.49 2664. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=)
% 9.23/9.49 2665. ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) = (e3)) ### TransEq-sym 2662 2663 2664
% 9.23/9.49 2666. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ### DisjTree 2326 349 2422 2665
% 9.23/9.49 2667. (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((e2) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) ### DisjTree 2661 2666 251 609
% 9.23/9.49 2668. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 9.23/9.49 2669. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.23/9.49 2670. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) = (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 2668 1116 843 2669
% 9.23/9.49 2671. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1045 2667 2670 511
% 9.23/9.49 2672. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 9.23/9.49 2673. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e0)) = (e2)) ((e0) != (e2)) ### DisjTree 1242 2311 2672 572
% 9.23/9.49 2674. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2671 1531 2629 2673
% 9.23/9.49 2675. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2674
% 9.23/9.49 2676. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ### ConjTree 796
% 9.23/9.49 2677. ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) = (e3)) ### Axiom
% 9.23/9.49 2678. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e0)) != (e3)) ### ConjTree 2677
% 9.23/9.49 2679. ((op (e1) (e3)) = (e1)) ((op (e1) (e3)) != (e1)) ### Axiom
% 9.23/9.49 2680. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e3)) = (e1)) ### ConjTree 2679
% 9.23/9.49 2681. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 9.23/9.49 2682. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2681
% 9.23/9.49 2683. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 609
% 9.23/9.49 2684. (((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 609
% 9.23/9.49 2685. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 2665
% 9.23/9.49 2686. (((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 2665
% 9.23/9.49 2687. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 9.23/9.49 2688. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2687
% 9.23/9.49 2689. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 9.23/9.49 2690. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2689
% 9.23/9.49 2691. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 9.23/9.49 2692. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2691
% 9.23/9.49 2693. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 9.23/9.49 2694. (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) ((op (e3) (e3)) = (e3)) ### ConjTree 2693
% 9.23/9.49 2695. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ### DisjTree 2 4 6 8 10 12 2644 2624 20 2646 27 1768 30 2648 2650 2652 40 42 2653 2592 48 50 52 54 2654 61 63 1075 2656 138 2658 2660 414 2675 418 2058 621 427 429 2676 432 434 436 438 2678 2680 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694
% 9.33/9.49 2696. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e0)) ((op (e0) (e3)) != (op (e2) (e3))) ### DisjTree 572 511 663 492
% 9.33/9.49 2697. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 1520 192 2696 1628
% 9.33/9.49 2698. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e0) (e1)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 2697
% 9.33/9.49 2699. (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### DisjTree 1794 192 2696 1628
% 9.33/9.49 2700. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e2)) != (op (e0) (e3))) ((e0) != (e1)) ((op (e1) (e3)) = (e1)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e2) (e3))) ((e0) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### ConjTree 2699
% 9.33/9.49 2701. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom
% 9.33/9.49 2702. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e3)) = (e2)) ### ConjTree 2701
% 9.33/9.49 2703. ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) != (e2)) ### Axiom
% 9.33/9.49 2704. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) ((op (e2) (e3)) = (e2)) ### ConjTree 2703
% 9.33/9.49 2705. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 443
% 9.33/9.49 2706. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 1559
% 9.33/9.49 2707. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ 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(e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e3)) = (e1)) ((e0) != (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ### DisjTree 2 4 6 8 10 12 2698 2624 20 2700 27 1768 30 2648 2702 2652 40 42 2653 2592 48 50 52 54 2654 61 63 1075 2656 138 2704 2660 414 2705 418 2058 2706 427 429 2676 432 434 436 438 2678 2680 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694
% 9.33/9.49 2708. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) = (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((e1) != (e2)) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op 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(e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != 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(e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### Or 2695 2707
% 9.33/9.49 2709. 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(e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) 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/\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ 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(e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e2)) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2638 883 2641 2708
% 9.33/9.49 2710. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e1) (e2)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) 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/\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) = (e1)) ((e1) != (e2)) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 2640 524 151 2709
% 9.33/9.49 2711. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.49 2712. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ((op (e1) (e2)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ### DisjTree 308 1131 926 1628
% 9.33/9.49 2713. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e1)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 2711 2712 1188
% 9.33/9.49 2714. ((op (e1) (e2)) != (e1)) ((op (e1) (e2)) = (e1)) ### Axiom
% 9.33/9.49 2715. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (e1)) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e0)) = (e1)) ((e0) != (e1)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2713 883 2714 511
% 9.33/9.49 2716. (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e0) (e3)) = (e1)) ((e1) != (e2)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op 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\/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e2)) != (e1)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2632 2639 2710 2715
% 9.33/9.49 2717. ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e2)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) 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(((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e1) != (e2)) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((e0) != (e1)) ((e1) != (e3)) ((op (e0) (e0)) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) = (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ### DisjTree 2632 2634 1255 2716
% 9.33/9.50 2718. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. 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(((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ### ConjTree 2717
% 9.33/9.50 2719. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.50 2720. (((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e1)) != (e3)) ### ConjTree 2719
% 9.33/9.50 2721. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.50 2722. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.33/9.50 2723. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.50 2724. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e2)) = (e3)) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 2722 783 1131 2723
% 9.33/9.50 2725. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 2724 839 1628
% 9.33/9.50 2726. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e0)) = (e1)) ((e1) != (e3)) ### DisjTree 688 2721 2725 1188
% 9.33/9.50 2727. ((op (e2) (e0)) != (e2)) ((op (e2) (e0)) = (e2)) ### Axiom
% 9.33/9.50 2728. ((op (e1) (e1)) != (e0)) ((op (e1) (e1)) = (e0)) ### Axiom
% 9.33/9.50 2729. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.50 2730. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (e0)) ### DisjTree 2728 783 1437 2729
% 9.33/9.50 2731. (((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ### ConjTree 1520
% 9.33/9.50 2732. (((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) ((op (e0) (e3)) = (e0)) ((op (e0) (e2)) != (op (e0) (e3))) ### ConjTree 1794
% 9.33/9.50 2733. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom
% 9.33/9.50 2734. (((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e3)) = (e0)) ### ConjTree 2733
% 9.33/9.50 2735. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 1961 266 443 1059
% 9.33/9.50 2736. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### ConjTree 2735
% 9.33/9.50 2737. (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e1)) ((e1) != (e2)) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) ### DisjTree 1961 266 1559 1059
% 9.33/9.50 2738. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) ((e1) != (e2)) ((op (e1) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### ConjTree 2737
% 9.33/9.50 2739. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom
% 9.33/9.50 2740. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) ((op (e0) (e3)) = (e0)) ### ConjTree 2739
% 9.33/9.50 2741. ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e2)) != (e3)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 2 4 6 8 10 12 2731 2624 20 2732 27 1768 30 2648 2650 2652 40 42 2653 2592 48 50 52 54 2654 61 63 1075 2734 138 2658 2660 414 2736 418 2058 2738 427 429 2676 432 434 436 438 2740 2680 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694
% 9.33/9.50 2742. 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/\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e2) (e3)) = (e2)) ((op (e1) (e3)) = (e1)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 2 4 6 8 10 12 2731 2624 20 2732 27 1768 30 2648 2702 2652 40 42 2653 2592 48 50 52 54 2654 61 63 1075 2734 138 2704 2660 414 2705 418 2058 2706 427 429 2676 432 434 436 438 2740 2680 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694
% 9.33/9.50 2743. (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e3)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e2) != (e3)) ((op (e1) (e3)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e2)) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### Or 2741 2742
% 9.33/9.50 2744. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e2)) ((op (e2) (e3)) = (e1)) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (op (e1) (e3))) ### DisjTree 750 203 658 1188
% 9.33/9.50 2745. 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/\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ 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(e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((e0) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ### DisjTree 1977 2743 2744 796
% 9.33/9.50 2746. 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(e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e2) (e2)) = (e0)) ((e0) != (e2)) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e0)) != (e2)) ### DisjTree 2727 2730 1744 2745
% 9.33/9.50 2747. 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(e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e3)) ((op (e1) (e0)) = (e1)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e1) (e1)) != (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2726 2614 2024 2746
% 9.33/9.50 2748. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e0)) != (e3)) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((e2) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2747
% 9.33/9.50 2749. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.33/9.50 2750. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.50 2751. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e0)) = (e3)) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ### DisjTree 2422 77 2749 2750
% 9.33/9.50 2752. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 9.33/9.50 2753. (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ### DisjTree 2752 369 1204 1667
% 9.33/9.50 2754. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (e2)) = (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 2753 2185 609
% 9.33/9.50 2755. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) ((op (e0) (e0)) = (e0)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 2185 2751 2754 1059
% 9.33/9.50 2756. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.50 2757. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e2)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e0) (e0)) = (e0)) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2755 2756 329 1188
% 9.33/9.50 2758. ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) = (e2)) ### Axiom
% 9.33/9.50 2759. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.50 2760. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (e2)) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e0) (e1)) = (e0)) ((op (e0) (e1)) != (op (e1) (e1))) ### DisjTree 1531 77 2758 2759
% 9.33/9.50 2761. ((op (e0) (e2)) != (e0)) ((op (e0) (e2)) = (e0)) ### Axiom
% 9.33/9.50 2762. (((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ### ConjTree 2746
% 9.33/9.50 2763. (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e2)) ((op (e0) (e2)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 1667 349 353 796
% 9.33/9.50 2764. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.33/9.50 2765. (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e1)) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ### DisjTree 2763 329 2764 1168
% 9.33/9.50 2766. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) = (e0)) ((e0) != (e1)) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e3) (e3)) = (e3)) ((e1) != (e3)) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e2)) != (e3)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e0)) = (e2)) ((e1) != (e2)) ### DisjTree 141 2765 369 1977
% 9.33/9.50 2767. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) ((e1) != (e2)) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e2)) != (e3)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) ((e0) != (e1)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### ConjTree 2766
% 9.33/9.50 2768. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) = (e0)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ### ConjTree 2673
% 9.33/9.50 2769. (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ((op (e0) (e1)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ### DisjTree 545 964 1204 1059
% 9.33/9.50 2770. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.50 2771. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e1)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e2)) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ### DisjTree 2769 2770 197 2665
% 9.33/9.50 2772. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) = (e0)) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e3) (e3)) = (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e1)) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e0) (e0)) = (e1)) ((e1) != (e2)) ### DisjTree 141 778 2771 1961
% 9.33/9.50 2773. (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e1)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) ((e2) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) ((op (e0) (e3)) = (e0)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### ConjTree 2772
% 9.33/9.50 2774. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.50 2775. (((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) ((op (e1) (e1)) != (e3)) ### ConjTree 2774
% 9.33/9.50 2776. (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### DisjTree 2 4 6 8 10 12 2731 2624 20 2732 27 1768 30 2720 2650 2652 40 42 2762 2592 48 50 52 54 2767 61 63 1075 2734 138 2658 2660 414 2768 418 2058 2773 427 429 2676 432 434 436 438 2740 2775 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694
% 9.33/9.51 2777. 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(e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ### Or 2776 2745
% 9.33/9.51 2778. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) 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(((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e2) != (e3)) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e1)) != (e2)) ((op (e1) (e1)) != (e3)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e3) (e0))) ((e1) != (e3)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 2757 2760 2761 2777
% 9.33/9.51 2779. (((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((e2) != (e3)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e2)) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e3))) ((e1) != (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e0) != (e1)) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2778
% 9.33/9.51 2780. ((op (e1) (e0)) != (e1)) ((op (e1) (e0)) = (e1)) ### Axiom
% 9.33/9.51 2781. ((op (e2) (e2)) != (e0)) ((op (e2) (e2)) = (e0)) ### Axiom
% 9.33/9.51 2782. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.33/9.51 2783. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) = (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) ### DisjTree 2781 342 843 2782
% 9.33/9.51 2784. (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e2)) != (e0)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e0)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e1)) = (e0)) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) ### DisjTree 2780 888 2783 511
% 9.33/9.51 2785. (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (e1)) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e2)) != (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 1045 2667 2670 2784
% 9.33/9.51 2786. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((e0) != (e2)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e0) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) = (e2)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((e2) != (e3)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e0)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e2)) != (e0)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e1) (e0)) != (e1)) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ### DisjTree 2785 1531 2629 2673
% 9.33/9.51 2787. (((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e0) (e0)) != (e3)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) ((e2) != (e3)) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e0) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((e0) != (e2)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2786
% 9.33/9.51 2788. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.33/9.51 2789. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.33/9.51 2790. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) != (op (e3) (e2))) ### DisjTree 839 2788 803 2789
% 9.33/9.51 2791. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) = (e0)) ((op (e0) (e0)) != (op (e3) (e0))) ### DisjTree 214 610 2790 1628
% 9.33/9.51 2792. ((op (e1) (e1)) != (e3)) ((op (e1) (e1)) = (e3)) ### Axiom
% 9.33/9.51 2793. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ### DisjTree 2791 2792 197 2665
% 9.33/9.51 2794. ((op (e0) (e1)) != (e0)) ((op (e0) (e1)) = (e0)) ### Axiom
% 9.33/9.51 2795. ((op (e2) (e2)) != (e1)) ((op (e2) (e2)) = (e1)) ### Axiom
% 9.33/9.51 2796. ((op (e2) (e2)) != (e3)) ((op (e2) (e2)) = (e3)) ### Axiom
% 9.33/9.51 2797. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (e1)) ((op (e0) (e2)) = (e0)) ((op (e0) (e2)) != (op (e2) (e2))) ### DisjTree 2024 2795 803 2796
% 9.33/9.51 2798. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e2)) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e2)) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e1)) != (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e0) != (e3)) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e1)) = (e2)) ((op (e2) (e2)) != (e3)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e1) (e1)) != (e3)) ((e2) != (e3)) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 2793 2794 2797 2773
% 9.33/9.51 2799. (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) ((e0) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e2) (e2))) (((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) ((e1) != (e2)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((e0) != (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ### ConjTree 2798
% 9.33/9.51 2800. ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e2)) != (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### DisjTree 2 4 6 8 10 12 2623 2624 20 2718 27 1768 30 2720 2650 2652 40 42 2748 2592 48 50 52 54 2779 61 63 1075 2656 138 2658 2660 414 2787 418 2058 2799 427 429 2676 432 434 436 438 2678 2775 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694
% 9.33/9.51 2801. ((op (e0) (e0)) != (e2)) ((op (e0) (e0)) = (e2)) ### Axiom
% 9.33/9.51 2802. (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((e0) != (e2)) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) = (e0)) ((e0) != (e3)) ((op (e3) (e3)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((e1) != (e2)) ((op (e1) (e2)) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e0)) != (e3)) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) 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(e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = 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(e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e3)) = (e2)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e1)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e0)) != (e2)) ### DisjTree 2801 524 443 2709
% 9.33/9.51 2803. 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\/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e0)) != (e3)) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((e0) != (e1)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((e1) != (e2)) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e3)) = (e3)) ((e0) != (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((e0) != (e2)) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 2802
% 9.33/9.51 2804. ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((e1) != (e2)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((e0) != (e1)) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e3)) = (e2)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e0)) != (e3)) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e1)) != (e3)) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 2 4 6 8 10 12 2621 2624 20 2803 27 1768 30 2720 2702 2652 40 42 2748 2592 48 50 52 54 2779 61 63 1075 2656 138 2704 2660 414 2705 418 2058 2706 427 429 2676 432 434 436 438 2678 2775 446 2682 450 2683 2684 456 2685 463 2686 466 1575 1169 474 476 2688 2690 2692 2694
% 9.33/9.51 2805. (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (e3)) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e1) (e1)) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = 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/\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ### Or 2800 2804
% 9.33/9.52 2806. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (e3)) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### Or 2805 2708
% 9.33/9.52 2807. (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((e0) != (e1)) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) ((op (e1) (e0)) != (op (e1) (e3))) ((e0) != (e3)) ((op (e1) (e2)) != (op (e1) (e3))) ((e1) != (e2)) ((op (e2) (e0)) != (op (e2) (e3))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((e0) != (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e2)) != (op (e0) (e3))) ((e1) != (e3)) ((op (e3) (e3)) = (e3)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e3)) = (e0)) ### Or 2777 2743
% 9.33/9.52 2808. (((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) != (op (e0) (e1))) ((e1) != (e2)) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((e1) != (e3)) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e3) (e3)) = (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((e0) != (e3)) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e2) (e3))) ((e2) != (e3)) ((e0) != (e2)) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e1))) ((e0) != (e1)) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e1) (e2)) = (e1)) /\ (((op (e1) (e1)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e1) (e3)) = (e1)) /\ (((op (e1) (e1)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e2) (e2)) = (e2)) /\ (((op (e2) (e2)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e2) (e3)) = (e2)) /\ (((op (e2) (e2)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) ### Or 2806 2807
% 9.33/9.52 2809. (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3))))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e0) (e2)) = (e0)) /\ (((op (e0) (e0)) != (e2)) /\ (((op (e0) (e0)) = (e2)) 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(e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((e0) != (e1)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e1)) != (op (e2) (e1))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((e0) != (e2)) ((e2) != (e3)) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e2) (e0)) != (op (e2) (e2))) ((e0) != (e3)) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e1) (e2))) ((e1) != (e3)) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((e1) != (e2)) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ### ConjTree 2808
% 9.33/9.52 2810. 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(((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) ((e0) != (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((e0) != (e1)) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((e1) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e2) != (e3)) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != 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\/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ ((((op (e0) (e3)) = (e0)) /\ (((op (e0) (e0)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e1) (e0)) = (e1)) /\ (((op (e1) (e1)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e1) (e1)) = (e1)) /\ (((op (e1) (e1)) != (e1)) /\ 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\/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((e1) != (e2)) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) ### DisjTree 1502 2248 2605 2809
% 9.33/9.52 2811. 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/\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e3) (e0)) = (e3)) /\ (((op (e3) (e3)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e3) (e1)) = (e3)) /\ (((op (e3) (e3)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e0) (e0)) = (e2)) /\ ((op (e0) (e2)) != (e0))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e1) (e1)) = (e2)) /\ ((op (e1) (e2)) != (e1))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e2) (e2)) != (e2))))) \/ ((((op (e3) (e2)) = (e3)) /\ (((op (e3) (e3)) != (e2)) /\ (((op (e3) (e3)) = (e2)) /\ ((op (e3) (e2)) != (e3))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e3) (e2))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e1)) != (op (e3) (e1))) ((e1) != (e2)) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e2)) != (op (e3) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e2) (e2))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e1) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e0) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e3) (e0))) ((op (e2) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) ((e2) != (e3)) ((op (e0) (e1)) != (op (e2) (e1))) ((e1) != (e3)) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) ((e0) != (e3)) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e2)) != (op (e1) (e2))) ((op (e1) (e0)) != (op (e2) (e0))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e0) (e0)) != (op (e1) (e0))) ((e0) != (e1)) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((e0) != (e2)) ((op (e0) (e0)) != (op (e0) (e3))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e1))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) ((op (e0) (e1)) != (op (e0) (e2))) ((op (e0) (e1)) != (op (e0) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### And 2810
% 9.33/9.52 2812. (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e1)) != (op (e3) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e0) (e1)) != (op (e0) (e3))) ((op (e0) (e1)) != (op (e0) (e2))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e0)) != (op (e0) (e1))) ((op (e0) (e0)) != (op (e0) (e2))) ((op (e0) (e0)) != (op (e0) (e3))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) ((op (e1) (e1)) != (op (e1) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e2)) != (op (e2) (e2))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e1) (e3)) != (op (e2) (e3))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) ((op (e1) (e0)) != (op (e2) (e0))) ((op (e0) (e2)) != (op (e1) (e2))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) ((op (e0) (e3)) != (op (e3) (e3))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e2) (e1))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) ((op (e1) (e1)) != (op (e1) (e3))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e0) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e0) (e1)) != (op (e3) (e1))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e1)) != (op (e1) (e1))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e1))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (e1) (e2)) != (op (e2) (e2))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) ((op (e0) (e3)) != (op (e1) (e3))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) ((op (e1) (e1)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) ((op (e1) (e3)) != (op (e3) (e3))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) ((op (e2) (e2)) != (op (e2) (e3))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e2))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e0) (e3))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) ((op (e2) (e2)) != (op (e3) (e2))) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (((((op (e0) (e0)) = (e0)) /\ ((((op (e0) (e0)) != (e0)) \/ ((op (e0) (e0)) = (e0))) /\ ((((op (e1) (e1)) != (e0)) \/ ((op (e1) (e0)) = (e1))) /\ ((((op (e2) (e2)) != (e0)) \/ ((op (e2) (e0)) = (e2))) /\ (((op (e3) (e3)) != (e0)) \/ ((op (e3) (e0)) = (e3))))))) \/ ((((op (e1) (e1)) = (e1)) /\ ((((op (e0) (e0)) != (e1)) \/ ((op (e0) (e1)) = (e0))) /\ ((((op (e1) (e1)) != (e1)) \/ ((op (e1) (e1)) = (e1))) /\ ((((op (e2) (e2)) != (e1)) \/ ((op (e2) (e1)) = (e2))) /\ (((op (e3) (e3)) != (e1)) \/ ((op (e3) (e1)) = (e3))))))) \/ ((((op (e2) (e2)) = (e2)) /\ ((((op (e0) (e0)) != (e2)) \/ ((op (e0) (e2)) = (e0))) /\ ((((op (e1) (e1)) != (e2)) \/ ((op (e1) (e2)) = (e1))) /\ ((((op (e2) (e2)) != (e2)) \/ ((op (e2) (e2)) = (e2))) /\ (((op (e3) (e3)) != (e2)) \/ ((op (e3) (e2)) = (e3))))))) \/ (((op (e3) (e3)) = (e3)) /\ ((((op (e0) (e0)) != (e3)) \/ ((op (e0) (e3)) = (e0))) /\ ((((op (e1) (e1)) != (e3)) \/ ((op (e1) (e3)) = (e1))) /\ ((((op (e2) (e2)) != (e3)) \/ ((op (e2) (e3)) = (e2))) /\ (((op (e3) (e3)) != (e3)) \/ ((op (e3) (e3)) = (e3)))))))))) /\ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e0) (e0)) = (e0)) /\ (((op (e0) (e0)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e0) (e1)) = (e0)) /\ (((op (e0) (e0)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e0) 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/\ ((op (e3) (e3)) != (e3))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e0) (e0)) = (e0)) /\ ((op (e0) (e0)) != (e0))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e1) (e1)) = (e0)) /\ ((op (e1) (e0)) != (e1))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e2) (e0)) != (e2))))) \/ ((((op (e2) (e0)) = (e2)) /\ (((op (e2) (e2)) != (e0)) /\ (((op (e3) (e3)) = (e0)) /\ ((op (e3) (e0)) != (e3))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e0) (e0)) = (e1)) /\ ((op (e0) (e1)) != (e0))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e1) (e1)) = (e1)) /\ ((op (e1) (e1)) != (e1))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e2) (e1)) != (e2))))) \/ ((((op (e2) (e1)) = (e2)) /\ (((op (e2) (e2)) != (e1)) /\ (((op (e3) (e3)) = (e1)) /\ ((op (e3) (e1)) != (e3))))) \/ ((((op (e2) (e2)) = (e2)) /\ 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% 9.33/9.53 2813. 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\/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e0) (e0)) = (e3)) /\ ((op (e0) (e3)) != (e0))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e1) (e1)) = (e3)) /\ ((op (e1) (e3)) != (e1))))) \/ ((((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e2) (e3)) != (e2))))) \/ (((op (e3) (e3)) = (e3)) /\ (((op (e3) (e3)) != (e3)) /\ (((op (e3) (e3)) = (e3)) /\ ((op (e3) (e3)) != (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (-. (((e2) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e2) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) (((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) (((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) (((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) (((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) (((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) (((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) (((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) (((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) (((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ### ConjTree 2812
% 9.33/9.53 2814. 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(((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e0) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e0) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ (((e0) = (op (e2) (op (e2) (e2)))) /\ ((e1) = (op (op (e2) (op (e2) (e2))) (e2)))))) (((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) (-. 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% 9.33/9.53 2815. 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(((e1) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e1) (e1))) /\ (((e0) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e2) (e2))) /\ (((e1) = (op (e2) (op (e2) (e2)))) /\ ((e3) = (op (op (e2) (op (e2) (e2))) (e2)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e3) = (op (e0) (op (e0) (e0)))) /\ ((e1) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e2) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e3) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e3) = (op (e0) (e0))) /\ (((e1) = (op (e0) (op (e0) (e0)))) /\ ((e2) = (op (op (e0) (op (e0) (e0))) (e0)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e3) = (op (e1) (op (e1) (e1)))) /\ ((e2) = (op (op (e1) (op (e1) (e1))) (e1)))))) (-. (((e0) = (op (e1) (e1))) /\ (((e2) = (op (e1) (op (e1) (e1)))) /\ ((e3) = (op (op (e1) (op (e1) (e1))) (e1)))))) (((e0) != (e1)) /\ (((e0) != (e2)) /\ (((e0) != (e3)) /\ (((e1) != (e2)) /\ (((e1) != (e3)) /\ ((e2) != (e3))))))) ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e1)) = (e0)) \/ (((op (e0) (e2)) = (e0)) \/ ((op (e0) (e3)) = (e0))))) /\ ((((op (e0) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e0)) \/ ((op (e3) (e0)) = (e0))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e2)) = (e1)) \/ ((op (e0) (e3)) = (e1))))) /\ ((((op (e0) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e1)) \/ ((op (e3) (e0)) = (e1))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e0) (e1)) = (e2)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e3)) = (e2))))) /\ ((((op (e0) (e0)) = (e2)) \/ (((op (e1) (e0)) = (e2)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e2))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e0) (e1)) = (e3)) \/ (((op (e0) (e2)) = (e3)) \/ ((op (e0) (e3)) = (e3))))) /\ ((((op (e0) (e0)) = (e3)) \/ (((op (e1) (e0)) = (e3)) \/ (((op (e2) (e0)) = (e3)) \/ ((op (e3) (e0)) = (e3))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ ((op (e1) (e3)) = (e0))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ ((op (e3) (e1)) = (e0))))) /\ ((((op (e1) (e0)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ ((op (e1) (e3)) = (e1))))) /\ ((((op (e0) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ ((op (e3) (e1)) = (e1))))) /\ ((((op (e1) (e0)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e3)) = (e2))))) /\ ((((op (e0) (e1)) = (e2)) \/ (((op (e1) (e1)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e2))))) /\ ((((op (e1) (e0)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ ((op (e1) (e3)) = (e3))))) /\ ((((op (e0) (e1)) = (e3)) \/ (((op (e1) (e1)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ ((op (e3) (e1)) = (e3))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e2) (e3)) = (e0))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e0)) \/ ((op (e3) (e2)) = (e0))))) /\ ((((op (e2) (e0)) = (e1)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e2) (e3)) = (e1))))) /\ ((((op (e0) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e1)) \/ ((op (e3) (e2)) = (e1))))) /\ ((((op (e2) (e0)) = (e2)) \/ (((op (e2) (e1)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e3)) = (e2))))) /\ ((((op (e0) (e2)) = (e2)) \/ (((op (e1) (e2)) = (e2)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e2))))) /\ ((((op (e2) (e0)) = (e3)) \/ (((op (e2) (e1)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e2) (e3)) = (e3))))) /\ ((((op (e0) (e2)) = (e3)) \/ (((op (e1) (e2)) = (e3)) \/ (((op (e2) (e2)) = (e3)) \/ ((op (e3) (e2)) = (e3))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e2)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e0)) \/ ((op (e3) (e3)) = (e0))))) /\ ((((op (e3) (e0)) = (e1)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e2)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e0) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e1)) \/ ((op (e3) (e3)) = (e1))))) /\ ((((op (e3) (e0)) = (e2)) \/ (((op (e3) (e1)) = (e2)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e0) (e3)) = (e2)) \/ (((op (e1) (e3)) = (e2)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e2))))) /\ ((((op (e3) (e0)) = (e3)) \/ (((op (e3) (e1)) = (e3)) \/ (((op (e3) (e2)) = (e3)) \/ ((op (e3) (e3)) = (e3))))) /\ (((op (e0) (e3)) = (e3)) \/ (((op (e1) (e3)) = (e3)) \/ (((op (e2) (e3)) = (e3)) \/ ((op (e3) (e3)) = (e3)))))))))))))))))))))))))))))))))))) ### ConjTree 2814
% 9.33/9.53 % SZS output end Proof
% 9.33/9.53 (* END-PROOF *)
%------------------------------------------------------------------------------